Answer:
Explanation:
The energy conservation is equal to half of the product of the spring constant and the square of displacement of the spring, so option C is correct.
A 1. 1 kg box drops two meters from a shelf and comes to rest after 0. 021 s on the floor. What force did the box hit the floor
A 1 kg box falls two metres from a shelf and lands on the ground after 0.021 seconds. The box impacted the ground with a force of around 524.7 N.
The box impacted the ground with a force of around 524.7 N.
Explanation: We can determine the force using the equation F = m * (v/t), where m is the box's mass, v is the velocity change (which is the ultimate velocity because the box starts at rest and comes to a halt), and t is the time it takes for the box to stop.
Given that the box falls 2 metres and its terminal velocity is 0 m/s, v = 2 m/s.
524.7 N is equal to F = 1.1 kg * (2 m/s / 0.021 s).
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What are water droplets that act as a prism?
O a
Ob
OC
Od
mirage
rainbow
filter
concave mirror
Water droplets that act as prism are phenomenon known as : b) rainbow.
What are water droplets that act as prism?When light enters water droplet and is refracted, it is dispersed into its component colors due to difference in the index of refraction of each color of light. This results in band of colors in the shape of arc with red on outer edge and violet on inner edge, with other colors of spectrum in between. This is the same effect as prism which disperses light in the same way.
Rainbows appear in seven colors because water droplets break sunlight into seven colors of spectrum and you get the same result when sunlight passes through prism. Water droplets in the atmosphere act as prism though traces of light are very complex.
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g as a prank, someone drops a water-filled balloon out of a window. the balloon is released from rest at a height of 10.0 m above the ears of a man who is the target. then, because of a guilty conscience, the prankster shouts a warning after the balloon is released. the warning will do no good, however, if shouted after the balloon reaches a certain point, even if the man could react infinitely quickly. assuming that the air temperature is 20 c and ignoring the effect of air resistance on the balloon, determine how far above the man's ears this point is.
The point at which the warning will do no good is 7.50 m above the man's ears.
When a water-filled balloon is released from rest at a height of 10.0 m above the ears of a man, the warning will do no good if shouted after the balloon reaches a certain point. Assuming that the air temperature is 20°C and ignoring the effect of air resistance, this point is 7.50 m above the man's ears.
The vertical displacement (d) can be determined using the equation [tex]d = \frac{vf2}{2g}[/tex], where vf is the final velocity and g is the acceleration due to gravity (9.81 m/s2).
Since the balloon was released from rest, the initial velocity is 0 m/s. Therefore, [tex]d = \frac{02 }{ 2} (\frac{9.81 m}{s2} ) = 0[/tex]m. Since the initial height was 10.0 m, the final height is 10.0 m + 0 m = 10.0 m.
The point at which the warning will do no good is 7.50 m above the man's ears, so the final height of the balloon must be 10.0 m - 7.50 m = 2.50 m.
Therefore, the point at which the warning will do no good is 7.50 m above the man's ears.
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a ball is dropped a from a height of 16ft each time it hits the ground what is the total vertical distance it traveled after it came to rest
The total vertical distance that the ball traveled after it came to rest is 32 feet. This is because each time it hits the ground, it has to travel the initial 16 feet.
Given, a ball is dropped from a height of 16ft. When it hits the ground each time, it bounces back to a height of 8ft. Now, we need to find the total vertical distance that the ball travels after it comes to rest. After the first drop, the ball travels a total distance of 16ft + 8ft = 24ft. After the second drop, the ball travels a total distance of 8ft + 8ft = 16ft.
After the third drop, the ball travels a total distance of 8ft + 8ft = 16ft. After the fourth drop, the ball travels a total distance of 8ft + 8ft = 16ft.S ince the ball has come to rest after the fourth drop, the total distance it has traveled vertically is 24ft + 16ft + 16ft + 16ft = 72ft. The ball travels a total vertical distance of 72ft in four drops.
However, since it comes to rest after the fourth drop, we only consider the distance traveled in three drops, which is 24ft + 16ft + 16ft = 56ft. Therefore, the ball would travel a total vertical distance of 32 feet after coming to rest.
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Determine the power of water transferred each hour through the dam. 500 m² are cleared every hour. The height of the dam is 500m.
Answer:
The power of water transferred each hour through a 500m high dam if 500m² are cleared every hour is approximately 4.41 GW
Explanation:
To answer this question, we need to know the density of water, the gravitational acceleration, and the efficiency of the dam. Let's assume that the density of water is 1000 kg/m³, the gravitational acceleration is 9.81 m/s², and the efficiency of the dam is 100%.
The power of water transferred each hour through the dam is given by the formula:
Power = Flow rate x Density x Gravity x Height x Efficiency
where Flow rate is the volume of water that passes through the dam each second, Density is the density of water, Gravity is the gravitational acceleration, Height is the height of the dam, and Efficiency is the efficiency of the dam.
First, let's calculate the flow rate:
Flow rate = Area x Velocity
where Area is the cleared area of 500m² and Velocity is the speed of water passing through the dam.
Assuming that the water is moving at a constant speed, we can use the formula:
Velocity = Height / Time
where Time is the time it takes for the water to pass through the dam.
Since the height of the dam is 500m and we want to know the power transferred each hour, we can convert the time to seconds as follows:
Time = 1 hour / 3600 seconds per hour = 0.000277778 hours
So, the velocity of the water is:
Velocity = 500m / 0.000277778 hours = 1,800,000 m/s
Now we can calculate the flow rate:
Flow rate = 500m² x 1,800,000 m/s = 900,000 m³/s
Finally, we can calculate the power of water transferred each hour through the dam:
Power = Flow rate x Density x Gravity x Height x Efficiency
Power = 900,000 m³/s x 1000 kg/m³ x 9.81 m/s² x 500m x 1
Power = 4,405,500,000 watts or approximately 4.41 GW
Therefore, the power of water transferred each hour through a 500m high dam if 500m² are cleared every hour is approximately 4.41 GW.
100 points!! It’s for a T-Chart, I need the answer for each question, regarding electric fields and magnetic fields.
Answer:
An electric field is essentially a force field that’s created around an electrically charged particle. A magnetic field is one that’s created around a permanent magnetic substance or a moving electrically charged object.
Electric fields are created by electric charges.
Permanent magnets are objects that produce their own persistent magnetic fields.
in electric fields Positive and negative charged objects attract or pull each other together, while similar charged objects (2 positives or 2 negatives) repel or push each other apart
in magnetic fields, Similar magnetic poles repel and unlike magnetic poles attract each other.
Attach a wire running from the negative terminal of the battery to one sheet and a wire running from the positive terminal of the battery to the other sheet
A magnetic field can be created by running electricity through a wire. All magnetic fields are created by moving charged particles. Even the magnet on your fridge is magnetic because it contains electrons that are constantly moving around inside
In the absence of external forces, momentum is conserved ina. quadrupledb. Yes, force will be less on a carpetc. The component of the weight of the block of ice that is parallel to the slope.d. in both elastic and inelastic collisions
In both elastic and inelastic collisions, momentum is conserved in the absence of external forces. Option d is the correct answer.
In the absence of external forces (such as friction, air resistance, or other external influences), the total momentum of a system remains constant. This is known as the law of conservation of momentum. It applies to all types of collisions, including elastic and inelastic collisions.
In an elastic collision, the total kinetic energy of the system is conserved, in addition to the momentum. In an inelastic collision, some of the kinetic energy is transformed into other forms of energy (such as heat or deformation), but the total momentum is still conserved. The conservation of momentum is a fundamental principle in physics and has many applications, from understanding the behavior of subatomic particles to predicting the trajectories of spacecraft. Hence option d is correct.
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Which of the following statements is true about the relationship between the two forms of Newton's second law (Fnet = dp/dt and Fnet = m.a) Select the correct answer
a. Fnet = dp/dt reduces to Fnet = m.a if the O acceleration of the object does not change with time. b. Fnet = m.a reduces to Fnet = dp/dt if the acceleration of the object does not change with time. c. Fnet = m.a reduces to Fnet = dp/dt if the mass of the object Answer dt does not change with time. d. Fnet = m.a reduces to Fnet = m.a if the dt momentum of the object does not change with time. e. Fnet = dp/dt reduces to Fnet = m.a if the mass of the object does not change with time. f. Fnet = m.a reduces to Fnet = dp/dt if the momentum of the object does not change with time.
The correct statement about the relationship between the two forms of Newton's second law (Fnet = dp/dt and Fnet = m.a) is option D "Fnet = m.a reduces to Fnet = dp/dt if the momentum of the object does not change with time.
What is Newton's second law?Newton's second law of motion states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. In other words, Fnet = m.a, where Fnet is the net force acting on an object, m is its mass, and a is its acceleration. This law can also be written as Fnet = dp/dt, where dp/dt is the rate of change of momentum with time.
Since momentum is the product of mass and velocity, it can be rewritten as dp/dt = m.dv/dt + v.dm/dt, where v is the velocity of the object. If the mass of the object remains constant over time, then v.dm/dt is zero and dp/dt reduces to m.dv/dt, which is equal to Fnet.
Therefore, Fnet = dp/dt reduces to Fnet = m.a if the object's acceleration does not change with time. If the momentum of the object does not change with time, then dp/dt is zero, and Fnet = dp/dt reduces to zero, which means that Fnet = m.a is also zero. Therefore, Fnet = m.a reduces to Fnet = dp/dt if the momentum of the object does not change with time.
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a 3 3-inch candle burns down in 12 hours. if b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.
The proportional equation that matches the context of a 33-inch candle burning down in 12 hours is b = 2.75t.
A candle that is 33 inches long is called a 33-inch candle. Candles are a popular decorative item that is commonly used for lighting, as decoration for weddings, and parties, or to create an aromatic atmosphere. B represents the length of the candle that has burned away at any time given in hours, t.
To find the proportional equation for b in terms of t that matches the context of a 33-inch candle burning down in 12 hours, the following steps should be followed:
Identify the given informationThe length of the candle (l) = 33 inchesThe time taken for the candle to burn down (t) = 12 hours
Determine the rate of burning The rate of burning of the candle is given by l/t. Therefore, the rate of burning = 33/12 = 2.75 inches per hour.
The proportional equation for b in terms of t is given by b = rt where r is the rate of burning. Therefore, b = 2.75t.
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When the rock hlt Cesar, the impact was softened by several protective features of the head. Which of the following structures would have helped to protect the brain from the external force? View Available Hint() Bone Oligodendrocytes Cerebrospinal fluid Basal ganglia Hair Dura mater White matter
The structure that would have helped to protect the brain from the external force when the rock hit Cesar are as follows: Dura mater and Cerebrospinal fluid.
What is the central nervous system? The central nervous system (CNS) is responsible for processing incoming stimuli from the peripheral nervous system and producing a coordinated response. It includes the brain and the spinal cord.
The brain is the largest component of the CNS, comprising 2% of the body's weight but consuming about 20% of its oxygen and nutrients. It consists of three main parts: the brainstem, the cerebellum, and the cerebrum.
The brainstem is responsible for regulating critical functions like respiration, circulation, and digestion; the cerebellum controls motor coordination, and the cerebrum is the area of the brain responsible for sensory perception, emotion, and movement.
What is external force? External forces, also known as contact forces, are forces that act on an object as a result of its interaction with its surroundings. Forces that do not require contact to take effect, such as gravitational and magnetic forces, are not considered external forces.
Examples of external forces are gravity, air resistance, tension, and friction. Dura mater and Cerebrospinal fluid as the structure that would have helped to protect the brain from the external force when the rock hit Cesar. When a rock hits Cesar, the external force created by it must be transferred to the skull, and ultimately the brain.
However, several protective features of the head help to reduce the severity of the impact. The brain is protected by two main structures: the dura mater and the cerebrospinal fluid.
The dura mater is the outermost layer of the meninges, which is a protective membrane covering the brain and spinal cord. It acts as a cushion, absorbing some of the external force generated by the impact.
Cerebrospinal fluid is a clear liquid that flows throughout the central nervous system, filling the space between the brain and the skull. It acts as a shock absorber, reducing the impact's intensity by distributing the force more evenly.
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an airplane flies due west at an airspeed of 425 mph. the wind is blowing from the northeast at 40 mph. what is the ground speed of the airplane? what is the bearing of the airplane?
An airplane flies due west at an airspeed of 425 mph and the wind is blowing from the northeast at 40 mph, the ground speed of the airplane is 385 mph, and the bearing of the airplane is 285°.
We can use the equation
GS = AS + (Wind x cos(Θ)),
Where GS is the ground speed, AS is the airspeed, and Θ is the angle between the wind and the heading of the airplane. the airspeed is 425 mph, the wind is blowing from the northeast at 40 mph, and the heading of the airplane is due west. The angle Θ is 90°. Plugging these values into the equation, we get
GS = 425 + (40 x cos(90°)) = 385 mph.
To calculate the bearing of the airplane, we can use the equation
Bearing = 180° - (Θ + (Wind ÷ AS) x 180°).
Θ is 90°, the wind is 40 mph, and the airspeed is 425 mph.
Plugging these values into the equation, we get
Bearing = 180° - (90° + (40 ÷ 425) x 180°) = 285°.
Hence , airplane flies due west at an airspeed of 425 mph and the wind is blowing from the northeast at 40 mph, the ground speed of the airplane is 385 mph, and the bearing of the airplane is 285°.
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two forces are applied to a 12 kg cart on a frictionless surface as shown. at a certain instant, force a is 77 n to the right, and force b is 15 n to the left. what is the acceleration of the cart at this instant, in m/s2?
The acceleration of the cart at this instant is calculated to be 5.17 m/s² to the right.
What is Newton's second law?Newton's second law explains that acceleration of any object is directly related to net force and inversely related to the mass.
To determine the acceleration of the cart, we need to calculate the net force acting on it.
The net force is the vector sum of the two forces:
Net force = Force a + Force b = 77 N to the right - 15 N to the left = 62 N to the right
Using Newton's second law, F = ma, where F is the net force and m is the mass of the cart, we can calculate the acceleration:
a = F/m = 62 N / 12 kg = 5.17 m/s
Therefore, the acceleration of the cart at this instant is 5.17 m/s² to the right.
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is the current flowing out of a resistor smaller than the current flowing into it. if not, then do resistors not actually slow down the flow of charge. eplain and give exampes\
The current flowing out of a resistor is typically smaller than the current flowing into it. Resistors do not actually slow down the flow of charge, they merely convert electrical energy into heat.
The statement that the current flowing out of a resistor is smaller than the current flowing into it is correct. This is because resistors slow down the flow of charge. The amount of current flowing through a resistor is determined by the amount of voltage across the resistor and the resistance of the resistor. When the voltage across the resistor increases, the current flowing through it also increases.
Conversely, when the resistance of the resistor increases, the current flowing through it decreases. Resistors are used to control the flow of current in electrical circuits. They are used in a variety of applications, such as in voltage dividers, filters, and voltage regulators.
For example, a voltage divider is a circuit that divides a voltage into two or more parts. A voltage divider is made up of two resistors in series, and the output voltage is taken across one of the resistors. The amount of voltage across the output resistor is determined by the values of the two resistors.
If the two resistors are equal, the output voltage will be half the input voltage. If the output resistor is smaller than the input resistor, the output voltage will be less than half the input voltage. Conversely, if the output resistor is larger than the input resistor, the output voltage will be greater than half the input voltage.
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A ball rolls across the floor, slowing down with constant acceleration of magnitude . The ball has positive velocity ???? after rolling a distance x across the floor.
Calculate the ball's initial speed ????0 if ????= 4.51 m/s2, ????=11.17 m/s, and x=2.66 m.
A ball rolls across the floor, slowing down with a constant acceleration of magnitude a = 4.51 m/s2.
The ball has positive velocity v after rolling a distance x = 2.66 m across the floor.
To calculate the ball's initial speed v0 if
v = 11.17 m/s.
The initial velocity of the ball, v0 =?
The final velocity of the ball, v = 11.17 m/s
The acceleration of magnitude a = 4.51 m/s2
Distance travelled, x = 2.66 m
If an object has initial velocity v0, constant acceleration a, and travelled distance x, then its final velocity is given by:
v2 = v0² + 2ax
Here, the ball's initial velocity is v0, and its final velocity is v.
After substituting the given values, we have:
v2 = v0² + 2ax
=> (11.17)²
= v0² + 2(4.51)(2.66)
=> 124.57
= v0² + 25.39
=> v0² = 124.57 - 25.39
=> v0² = 99.18 => v0 = √99.18
=> v0 = 9.96 m/s
Hence, the initial velocity of the ball is v0 = 9.96 m/s.
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Let the mass of the sled be m and the magnitude of the net force acting on the sled be Fnet . The sled starts from rest. Consider an interval of time during which the sled covers a distance s and the speed of the sled increases from v1 to v2 . We will use this information to find the relationship between the work done by the net force (otherwise known as the net work) and the change in the kinetic energy of the sled. Use W = F s cos (theta) to find the net work Wnet done on the sled. Express your answer in terms of some or all of the variables m ,v1 and v2 .
Total work done is Wnet = 1/2mv₂² - 1/2mv₁²
Let the mass of the sled be m and the magnitude of the net force acting on the sled be Fnet .
The sled starts from rest. Consider an interval of time during which the sled covers a distance s and the speed of the sled increases from v₁ to v₂ . We will use this information to find the relationship between the work done by the net force (otherwise known as the net work) and the change in the kinetic energy of the sled.
Use W = F s cos (theta) to find the net work Wnet done on the sled. Express your answer in terms of some or all of the variables m ,v₁ and v₂.Using the work-energy principle, we can calculate the work done on an object in terms of its change in kinetic energy. Consider the sled being acted upon by a force Fnet.
W = ΔK is used to calculate the work done on the sled as it moves from rest to velocity v₁ and then to velocity v₂ over a distance s.
Considering the sled to be the system under study, we can write the net work done on the sled as Wnet = ΔK.Wnet = 1/2mv₂² - 1/2mv₁² = Fnet s cos θWnet = Fnet s cos θ = 1/2mv₂² - 1/2mv₁²
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If I heated up a glass of 100 grams of water, and the temperature changed from 25℃ to 31℃, how much heat was needed to do that (in calories)?
Answer:
6° because some heat is released out of surrounding. if 100 over six which is equal to sixtenn point four
the mass of a particular bar of gold-pressed latinum (from star trek) has a mass of 100 grams. what is the mass of this bar when it is brought to the moon?
The mass of a particular bar of gold-pressed latinum on the moon is 100 grams.
Gold-pressed latinum (GPL) is a kind of currency in the Star Trek world. Latinum, a rare silver-colored liquid, is pressed between gold layers to make GPL, which is valued in the Federation as a rare and valuable resource. The value of GPL is measured in amounts of gold. It can be used in various types of exchange and trade.
The mass of a particular bar of gold-pressed latinum when it is brought to the moon is the same as its mass on Earth. The bar's mass will stay the same no matter where it is located because mass is a constant property of an object. Mass is a measure of an object's resistance to acceleration in response to a force. It is a measure of how much matter is contained in an object.
As a result, if an object has a mass of 100 grams on Earth, it will have the same mass on the moon or any other location in the universe. Therefore, the mass of a particular bar of gold-pressed latinum when it is brought to the moon is 100 grams.
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standard number of bones in the appendicular skeleton
The standard number of bones in the appendicular skeleton varies slightly among individuals, but it is generally accepted that there are 126 bones in the appendicular skeleton of an adult human.
The appendicular skeleton includes all the bones that are attached to the axial skeleton, which includes the skull, vertebrae, and ribcage. The appendicular skeleton consists of the bones of the arms, legs, pelvis, and shoulder girdle. Here is a breakdown of the number of bones in each part of the appendicular skeleton: Arms: 60 bones (30 in each arm) Legs: 60 bones (30 in each leg) Pelvis: 2 bones Shoulder girdle: 4 bones Adding up these numbers gives a total of 126 bones in the appendicular skeleton. However, this number can vary slightly among individuals due to differences in bone structure and development.
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A bus engine transfers chemical potential energy into ___ so that the bus moves.
a. kinetic energy
b. thermal energy
c. gravitational potential energy
d. electrical energy
basic behavior: according to your data, does this resistance increase or decrease with voltage? a reasonable (and correct) thought is that the impact is really with temperature, as the light bulb heats up with more power going into it. how does your data imply resistance varies with temperature?
Based on the given question, the resistance will: increase with the increase in voltage.
The reason behind this is that resistance and voltage have a direct relationship. As the voltage increases, the resistance also increases. This can be explained by Ohm’s Law which states that V= IR where V is voltage, I is current and R is resistance. As per the second part of the question, it is implied that the resistance varies with temperature.
The resistance of any material depends upon temperature, and a rise in temperature increases the resistance of the material. The light bulb acts as a resistor, and its resistance will increase as the temperature increases due to an increase in the temperature of the filament of the bulb.
The resistance is directly proportional to the temperature of the bulb, and it is represented by the equation
R = R₀ (1 + αt),
where R is resistance, R₀ is the resistance at a particular temperature, α is the temperature coefficient of resistance, and t is the temperature difference in Celsius.
Therefore, based on the data provided, it can be concluded that resistance increases with the increase in temperature which results in the heating of the light bulb, which is a resistor.
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Find the value of x. Round the length to the nearest tenth.
Answer:
well first u divide the numbers
Proton 1 moves with a speed v from the east coast to the west coast in the continental United States; proton 2 moves with the same speed from the southern United States toward Canada. Is the magnitude of the magnetic force experienced by proton 2 greater than, less than, or equal to the force experienced by proton 1? O greater than the force experienced by proton 1 O less than the force experienced by proton 1 equal to the force experienced by proton 1
The magnitude of the magnetic force experienced by proton 2 will be less than the force experienced by proton 1. This is because the force experienced by a proton is related to the direction of its motion relative to the direction of the magnetic field.
As proton 1 is travelling from east to west, its motion is parallel to the magnetic field, which is aligned in a north-south direction in the continental United States. This means that proton 1 will experience a greater force due to the magnetic field than proton 2, which is travelling in a north-south direction and thus has a motion perpendicular to the magnetic field.
To understand this more clearly, we can consider the equation for the magnetic force:
F = qvB sin θ.
In this equation, the force experienced by a particle is related to the charge (q), velocity (v), and magnetic field strength (B). The sine of the angle between the velocity and magnetic field (θ) is also important as it determines how much of the force will be experienced by the particle. As proton 1's motion is parallel to the magnetic field, it will experience the full force due to the magnetic field, whereas proton 2's motion is perpendicular to the magnetic field and it will only experience a fraction of the force. The magnitude of the force experienced by proton 2 will be lower than the force experienced by proton 1.
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You throw a ball straight up. Compare the sign of the work done by gravity while the ball goes up with the sign of the work done by gravity while it goes down.
a) Work is + on the way up and + on the way down
b) Work is + on the way up and - on the way down
c) Work is - on the way up and + on the way down
d) Work is - on the way up and - on the way down
Answer:
Work is negative on the way up and positive on the way down.
Explanation:
Work is positive if displacement and the force are in the same direction.
Work is negative if displacement and the force are in opposite directions.
(Note that work is zero if displacement is perpendicular to the force.)
In this question, the gravity on the object points downwards at all times.
On the way up, the position of the object is above where it was launched. Hence, displacement would point upwards.
Since the direction of gravity is opposite to that of displacement on the way up, the work on the object would be negative.
In contrast, displacement of the object points downward on the way down. Since displacement is in the same direction as the force of gravity, the work on the object would be positive.
Two charges, -2.1 μC and -5.6 μC , are located at (-0.50 m , 0) and (0.50 m , 0), respectively. There is a point on the x-axis between the two charges where the electric field is zero. Find the location of the point where the electric field is zero
The point on the x-axis between the two charges where the electric field is zero is 0.747 m, when the charges -2.1 μC and -5.6 μC are located at (-0.50 m , 0) and (0.50 m , 0), respectively.
An electric field is defined as the electric force per unit charge. It is a field of force surrounding electrically charged particles, such as electrons or protons in motion, that exerts force on surrounding matter. It is represented by the symbol E.
The electric field E at any point (x,y) on the x-axis due to the charge Q1 at (-0.50 m, 0) is
[tex]E1 = k * Q1 / r1^2[/tex]
where, k = Coulomb's constant = [tex]9 x 10^9 Nm^2/C^2[/tex]
Q1 = charge = -2.1 μC
r1 = distance between Q1 and
(x,y) = (0.50 + x) m
The electric field E at any point (x,y) on the x-axis due to the charge Q2 at (0.50 m, 0) is
[tex]E2 = k * Q2 / r2^2[/tex]
where,
Q2 = charge = -5.6 μC
r2 = distance between Q2 and (x,y) = (0.50 - x) m
The total electric field E at any point (x,y) on the x-axis due to both the charges is
[tex]E = E1 + E2 = k * Q1 / r1^2 + k * Q2 / r2^2[/tex]
[tex]E = k * (-2.1 * 10^-6) / (0.5 + x)^2 + k * (-5.6 * 10^-6) / (0.5 - x)^2[/tex]
At the point on the x-axis between the two charges where the electric field is zero,
[tex]E = 0k * (-2.1 * 10^-6) / (0.5 + x)^2 + k * (-5.6 * 10^-6) / (0.5 - x)^2 = 0[/tex]
Simplifying, we get [tex](0.5 + x)^2 / (0.5 - x)^2 = 2.667x^2 + 2.667x - 0.50 = 0[/tex]
Solving for x, we get
x = -1.74 m or
x = 0.747 m
We cannot have a negative value of x as the point has to be between the two charges. So, the location of the point where the electric field is zero is x = 0.747 m.
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The electric potential at a distance d
from a certain point charge is V relative to infinity. What is the potential (relative to infinity) at half the distance for the same charge?
A. V/4
B. 2 V
C. V/2
D. 4 V
The electric potential from a certain point charge when the distance is halve for the same charge will be V/2. Thus, the correct option will be C.
According to the Coulomb's law, the electric field is the gradient of the electric potential. And, the electric potential V is given by:V = kQ/r, where Q is the charge, r is the distance between the charge and the point where the potential is being calculated, and k is Coulomb's constant. Here, the electric potential at a distance d from a certain point charge is V relative to infinity.
The electric potential (relative to infinity) at half the distance for the same charge is the distance r/2, so:
V' = kQ/r
2V' = kQ/(d/2)
V' = 2kQ/d
V' = V/2
Therefore, the electric potential at half the distance for the same charge is V/2.
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if the leftover energy in the previous problem is 134.9 j (it's not, don't go back and try to use this value) and the mass is 2 kg, what speed (in m/s) does the block have at the bottom of its slide? revisit the definition of ke if needed.
The speed of the block at the bottom of its slide is 16.4 m/s.
In the previous problem, the kinetic energy of the block was found to be 135 J.
The formula for kinetic energy is
KE = 1/2mv²,
Where:
m is the mass of the object and v is its velocity.Now we can use the same formula to find the velocity of the block at the bottom of its slide.
KE = 1/2mv²
We know that the mass of the block is 2 kg, and the kinetic energy at the end of the slide is 135 J.
KE = 135 Jm = 2 kg1/2mv² = 135 Jv² = 2(135 J) / 2 kgv² = 270 JV = sqrt(270 J) / 2 kgV = 16.4 m/s
Therefore, the speed of the block at the bottom of its slide is 16.4 m/s.
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as a 4.4-kg object moves from (2 i 5 j) m to (6 i - 2 j) m, the constant resultant force acting on it is equal to (4 i - 3 j) n. if the speed of the object at the initial position is 4.9 m/s, what is the work done by the force, and what is its kinetic energy at its final position? as your answer in canvas, write the kinetic energy in joules.\
The kinetic energy of the object at its final position is 90.98 J.Given,Mass, m = 4.4 kg Initial position, r1 = (2 i + 5 j) m, Final position, r2 = (6 i − 2 j) m ,Initial velocity, u = 4.9 m/s ,Constant resultant force, F = (4 i − 3 j) N .To find the work done by the force,First, we need to find the displacement vector = r2 - r1= (6 i − 2 j) - (2 i + 5 j)= (6 - 2) i + (-2 - 5) j= 4 i - 7 j
Magnitude of the displacement vector,= √(4² + (-7)²)= √65 m Now, we can find the work done by the force,W = F.s= (4 i - 3 j) . (4 i - 7 j)= 4(4) + 3(7)= 37 J
Therefore, the work done by the force is 37 J.
To find the kinetic energy of the object at its final position,First, we need to find the final velocity of the object by using the work-energy principle.Initial kinetic energy, K1 = (1/2)mu²= (1/2) × 4.4 × (4.9)²= 53.98 J
Work done by the force, W = 37 JFinal kinetic energy, K2 = K1 + W= 53.98 + 37= 90.98 JTherefore, the kinetic energy of the object at its final position is 90.98 J.
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Imagine you are viewing the other planets from Earth. Which planets (if any) will appear to pass directly in front of the Sun from your Earth-based perspective? Which planets (if any) will never transit the Sun? If you were able to view the Solar System from outside, how many planets could potentially transit the Sun? Will those planets transit the Sun no matter where outside the Solar System you are? Sketch and describe the required orientation of the Solar System in order for the maximum number of planets to transit the Sun.
Explanation:
Planets closer to the sun will appear to transit from time to time
= 2 Venus and Mercury ( I suppose you could include the Moon..an eclipse ....haha)
All of the planets further from the sun than earth will not transit
Potentially ALL of the planets could transit the sun (earth included) if observed outside solar system HOWEVER if you are not observing from near the orbital plane of
the planets NONE of them would transit
For maximum transits, the planets should all be in the same orbital plane and the observer should be very close to this plane also.
for a given mass of gas at constant temperature, the volume of the gas varies inversely with pressure.a. 3Pb. P/3c. 3P/Td. 9P
The volume of the gas varies inversely with pressure, and the correct answer is (b) P/3.
According to Boyle's Law, at a constant temperature, the volume of a gas is inversely proportional to its pressure. Mathematically, this can be expressed as:
PV = k
where P is the pressure of the gas, V is its volume, and k is a constant.
If we assume that the mass of the gas remains constant, then k is also constant. So we can write:
[tex]P_1V_1 = k and P_2V_2 = k[/tex]
where[tex]P_1 and V_1[/tex] are the initial pressure and volume, and [tex]P_2 and V_2[/tex] are the final pressure and volume.
If we divide these two equations, we get:
[tex]P_1V_1/P_2V_2 = 1[/tex]
Since[tex]V_1[/tex] is inversely proportional to [tex]P_1[/tex], we can write:
[tex]V_1 = k/P_1[/tex]
Similarly, [tex]V_2 = k/P_2.[/tex]
Substituting these values in the above equation, we get:
[tex](k/P_1)/(k/P_2) = 1[/tex]
Simplifying this, we get:
[tex]P_2/P_1 = V_1/V_2[/tex]
Since we are given that the temperature remains constant, we can assume that k is constant, and therefore:
[tex]V_1/P_1 = V_2/P_2[/tex]
If we let [tex]P_2 = 3P_1[/tex], then we get:
[tex]V_1/P_1 = V_2/(3P_1)[/tex]
Simplifying this, we get:
[tex]V_1/V_2 = 1/3[/tex]
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A dragster is travelling east when the parachute opens and slows the dragster for 4.5 seconds at a rate of 10 m/s2 west. What was the dragster's change in velocity due to the parachute?
The dragster's change in velocity due to the parachute can be calculated using the kinematic equation:
Δv = aΔt
where Δv is the change in velocity, a is the acceleration, and Δt is the time interval during which the acceleration occurs. In this case, the dragster is initially travelling east, so its velocity is positive, and the parachute applies a force in the opposite direction, resulting in a negative acceleration.
Given that the acceleration is -10 m/s² (westward) and the time interval is 4.5 seconds, we can calculate the change in velocity as:
Δv = (-10 m/s²) x (4.5 s) = -45 m/s
Therefore, the dragster's change in velocity due to the parachute is -45 m/s (westward). This means that the dragster's velocity is reduced by 45 m/s in the westward direction over the 4.5-second interval during which the parachute is deployed.
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The change in velocity due to the parachute is -45 m/s east
What is velocity ?
Velocity is a vector quantity that describes the speed and direction of motion of an object. In other words, velocity is the rate at which an object changes its position in a specific direction.
Velocity is expressed in units of distance per time, such as meters per second (m/s) or kilometers per hour (km/h)
Velocity is different from speed, which is also a measure of the rate of motion but only describes how fast an object is moving, without taking into account the direction of motion.
we will use the formula :-
change in velocity = acceleration x time
where acceleration is the rate at which the dragster slows down, and time is the duration for which it slows down.
Here, the dragster is travelling east, and the parachute applies a force in the opposite direction (west), causing it to slow down. So, the acceleration is -10 m/s^2 (negative because it's in the opposite direction to the velocity).
The time for which the dragster slows down is 4.5 seconds.
Therefore, the change in velocity due to the parachute is:
change in velocity = acceleration x time
change in velocity = (-10 m/s^2) x (4.5 s)
change in velocity = -45 m/s east
Note that the velocity is negative because the dragster is slowing down, and it's still travelling east (i.e., in the positive direction).
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