Answer:
Explanation:
To find the net electric flux through a closed surface, we need to apply Gauss's law:
Phi_E = Q_enclosed / epsilon_0
where Phi_E is the electric flux, Q_enclosed is the net charge enclosed by the closed surface, and epsilon_0 is the electric constant.
Let's consider a spherical closed surface of radius R enclosing the charges. We can divide the surface into two regions: inside and outside the sphere.
For the charges inside the sphere, the net charge enclosed is:
Q_enclosed = +1.00 nC - 3.00 nC = -2.00 nC
Therefore, the electric flux through the inner surface of the sphere is:
Phi_E_inside = Q_enclosed / epsilon_0 = (-2.00 nC) / epsilon_0
For the charge outside the sphere, the net charge enclosed is:
Q_enclosed = +2.00 nC
Therefore, the electric flux through the outer surface of the sphere is:
Phi_E_outside = Q_enclosed / epsilon_0 = (2.00 nC) / epsilon_0
The net electric flux through the closed surface is the sum of the electric flux through the inner and outer surfaces:
Phi_E_net = Phi_E_inside + Phi_E_outside = (-2.00 nC) / epsilon_0 + (2.00 nC) / epsilon_0
= 0
Therefore, the net electric flux through the closed surface is zero. This means that the total amount of electric field lines entering the surface is equal to the total amount of electric field lines leaving the surface. This result is consistent with Gauss's law, which states that the net electric flux through a closed surface is proportional to the net charge enclosed by the surface. In this case, since the net charge enclosed is zero, the net electric flux is also zero.
Constants I Periodic Table Suppose two parallel-plate capacitors have the same charge Q, but the area of capacitor 1 is A and the area of capacitor 2 is 2A
Two parallel-plate capacitors with the same charge Q but different areas (A and 2A) can be compared by looking at the capacitance. The capacitance of the second capacitor is double that of the first due to the increase in area.
Two parallel-plate capacitors with the same charge Q but different areas (A and 2A) can be compared by looking at the capacitance, which is defined as the ratio of the charge stored on the capacitor to the voltage applied across the plates. The capacitance C of a capacitor is given by the equation C=Q/V. Therefore, the capacitance of the first capacitor, C1, is C1=Q/V, and the capacitance of the second capacitor, C2, is C2=(2Q)/V. It is seen that the capacitance of the second capacitor is double that of the first. This is because the area of the second capacitor is double that of the first. Therefore, the same charge Q stored on the first capacitor is distributed over twice the area in the second capacitor, resulting in the capacitance being double. This can be mathematically expressed as C2 = 2C1. Thus, two parallel-plate capacitors with the same charge Q but different areas (A and 2A) can be compared by looking at the capacitance. The capacitance of the second capacitor is double that of the first due to the increase in area.
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I'd like help with this question
the given values, we get va = sqrt((350 kg * 9.81 m/s² - 0)))
Since the cable is inextensible, the distance moved by both blocks is the same.
Let's denote the distance moved by both blocks as "d". Then, the distance moved by block A is "1m + d" to the right.
Using conservation of energy, we can write:
(1/2) * ma * va² + (1/2) * mb * vb²= (ma + mb) * g * d
where ma and mb are the masses of blocks A and B, va and vb are their velocities, and g is the acceleration due to gravity.
Since the system is released from rest, va = 0, and we can solve for vb:
(1/2) * mb * vb²= (ma + mb) * g * d
vb²= 2 * (ma + mb) * g * d / mb
vb = sqrt(2 * (ma + mb) * g * d / mb)
Now, we need to find the velocity of block A after it has moved 1m + d to the right. To do this, we can use the equations of motion. Since block A is moving to the right, we take the positive x direction to be to the right. Then, we have:
ma * a = T - fa
where a is the acceleration of block A, T is the tension in the cable, and fa is the frictional force acting on block A due to the incline.
The tension in the cable is the same throughout, so we can write:
T = mb * g
The frictional force fa can be calculated using:
fa = µ * ma * g * cos(theta)
where µ is the coefficient of friction, theta is the angle of the incline, and cos(theta) = 1/sqrt(2) since the incline makes a 45 degree angle with the horizontal.
Substituting these values, we get:
ma * a = mb * g - µ * ma * g / sqrt(2)
Solving for a, we get:
a = (mb * g - µ * ma * g / sqrt(2)) / ma
Now, we can use the equations of motion again to find the final velocity of block A after it has moved 1m + d to the right. We have:
d = (1/2) * a * t²
where t is the time taken by block A to move 1m + d to the right.
Substituting the value of a, we get:
d = (1/2) * [(mb * g - µ * ma * g / sqrt(2)) / ma] * t²
Solving for t, we get:
t = sqrt(2 * d * ma / (mb * g - µ * ma * g / sqrt(2)))
Finally, we can use the equations of motion again to find the final velocity of block A. We have:
1m + d = (1/2) * a * t²
Substituting the values of a and t, we get:
1m + d = (1/2) * [(mb * g - µ * ma * g / sqrt(2)) / ma] * [2 * d * ma / (mb * g - µ * ma * g / sqrt(2))]²
Solving for the final velocity of block A, we get:
va = sqrt((mb * g - µ * ma * g / sqrt(2)) / ma * (1m + d) / 2)
Substituting the given values, we get:
va = sqrt((350 kg * 9.81 m/s² - 0
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Derive a formula for the efficiency of the Diesel cycle, in terms of the compression ratio �
1
/
�
2
V 1
/V 2
and the cutoff ratio �
3
/
�
2
.
V 3
/V 2
. Show that for a given compression ratio, the Diesel cycle is less efficient than the Otto cycle. Evaluate the theoretical efficiency of a Diesel engine with a compression ratio of 18 and a cutoff ratio of 2.
The theoretical efficiency of a Diesel engine with a compression ratio of 18 and a cutoff ratio of 2 is 0.94.
The efficiency of the Diesel cycle, denoted by η, can be expressed as a function of the compression ratio (r)
and the cutoff ratio (r_c)
as follows:
[tex]η = 1 - 1/(r^(r_c-1))[/tex]
This equation shows that as the compression ratio increases, the efficiency of the Diesel cycle increases.
When comparing the efficiency of the Diesel cycle to that of the Otto cycle, it can be seen that for a given compression ratio, the Diesel cycle is less efficient than the Otto cycle. To evaluate the theoretical efficiency of a Diesel engine with a compression ratio of 18 and a cutoff ratio of 2, we can use the equation above to calculate the efficiency as:
[tex]η = 1 - 1/(18^(2-1))[/tex]
η = 1 - 1/18
η = 0.94
Therefore, the theoretical efficiency of a Diesel engine with a compression ratio of 18 and a cutoff ratio of 2 is 0.94.
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Which of the following LEAST LIKELY affects or is the result of circulation of surface water in the oceans?
A. Trade winds
B. Gyres that circulate clockwise in the Atlantic and Pacific oceans
C. Energy from the Sun
D. Coriolis force
E. Katabatic winds
D. Coriolis force is the least likely to affect or be the result of circulation of surface water in the oceans. The Coriolis force is an inertial force that affects the movement of large masses of air or water, but it does not cause the surface water in the oceans to circulate.
The other four choices, A. Trade winds, B. Gyres that circulate clockwise in the Atlantic and Pacific oceans, C. Energy from the Sun, and E. Katabatic winds, all have an effect on surface water circulation. For example, trade winds push the surface water of the ocean from east to west, gyres circulate in a clockwise direction, energy from the Sun evaporates surface water, and katabatic winds push down cooler air from the mountains to the sea.
C. Energy from the Sun is the least likely factor to affect or result from the circulation of surface water in the oceans. The circulation of surface water in the ocean is primarily caused by the combined effect of wind, Earth’s rotation, and the ocean’s topography. Therefore, the option C. Energy from the Sun least likely affects or is the result of circulation of surface water in the oceans.The other factors mentioned are known to affect the circulation of surface water in the oceans. Wind is one of the primary factors that drive the ocean currents, which is also responsible for the movement of warm and cold water from one region to another.
Wind-generated ocean currents that set water into motion by blowing on its surface, cause water to move from one region to another. The Coriolis effect results in the formation of gyres in the oceans, which are also responsible for the circulation of surface water. Katabatic winds are responsible for mixing and churning up the water. In conclusion, the ocean current is a combination of several factors that work together to move the water from one place to another.
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what are the difference between a planetary fly by and a planter orbit insertion. list 6 thing for each, find the answer for NASA.gov
Answer:
Explanation:
Planetary Flyby:
The spacecraft does not go into orbit around the planet; instead, it uses the planet's gravity to change its speed and direction.
The spacecraft's closest approach to the planet is usually brief, ranging from a few minutes to a few hours.
The spacecraft is able to capture images and data during the brief encounter with the planet.
The spacecraft's trajectory can be adjusted to perform multiple flybys of different planets or moons.
The spacecraft does not require a large amount of fuel to perform a flyby, making it a cost-effective option for exploration.
Flybys are useful for studying a planet's atmosphere, magnetic field, and gravitational field.
Planetary Orbit Insertion:
The spacecraft goes into orbit around the planet, allowing for long-term study and data collection.
The spacecraft's orbit can be adjusted to achieve different scientific objectives, such as mapping the planet's surface or studying its atmosphere.
The spacecraft must have enough fuel to slow down and enter orbit, making it a more expensive option than a flyby.
The spacecraft's orbit can be stable or elliptical, depending on the scientific objectives and mission requirements.
The spacecraft may require several trajectory adjustments to achieve the desired orbit.
Orbit insertion allows for more detailed and comprehensive study of a planet's geology, climate, and magnetic field.
I actually have 3 questions. >33
1. Write about a time when you felt very cold and did something to make yourself feel warm, or a time when you felt hot and did something to cool yourself down. What caused the heat to transfer from one place to another place? How did this transfer of heat cause a change in temperature?
2. Why is the temperature of the liquid in the flask on the previous page measured when the liquid in the thermometer has stopped rising?
3. How can the thermometer in the flask on the previous page be used to demonstrate the relationship between heat transfer and kinetic energy? Explain.
When you contact anything hot, the heat is transmitted from the object to your hand, making it feel hot. When you contact something cold, heat is transmitted from your hand to the object, making it feel chilly.
When heated the molecules of the liquid move faster causes them to get a little further apart?when heated, the molecules of the liquid in the thermometer move faster, causing them to get a little further apart. this results in movement up the thermometer. when cooled, the molecules of the liquid in the thermometer move slower, causing them to get a little closer together.
When the liquid in the thermometer is heated, the molecules move quicker, forcing them to move wider apart. This causes the thermometer to rise. When the liquid in the thermometer is chilled, the molecules travel slower, leading them to get closer together.
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If pulse 1 were reflected from a wall, which one of the patterns above would represent the reflected pulse? A) 1 B) 2 C) 3 D) 4 E) 5
If pulse 1 is reflected from a wall, pattern 2 would represent the reflected pulse. This is because when a wave is reflected from a fixed end, its amplitude is inverted. So, pattern 2 represents the reflection of pulse 1 from a fixed end.
A pulse is a short burst of energy that travels through space or matter. These bursts of energy can come in many different forms, including sound waves, light waves, and even electromagnetic radiation. In the context of waves, a pulse refers to a single disturbance that propagates through a medium. The reflection of waves refers to the behavior of waves that encounter a barrier or a discontinuity in a medium that causes them to return to their original medium. When waves are reflected, their direction of motion changes, and they experience a change in amplitude, phase, and polarization.
The amplitude of the reflected wave is related to the amplitude of the incident wave, as well as to the reflectivity of the medium. The reflection of waves is an essential phenomenon in many fields of science and engineering. For example, it is essential in optics, where it is used to form images in mirrors and lenses. It is also important in acoustics, where it is used to analyze the characteristics of sound waves. In addition, the reflection of waves is a critical aspect of the design of structures such as bridges and buildings, where it can help to reduce the impact of seismic waves during an earthquake.
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What is the
equivalent
capacitance of this
combination?
(Remember, μ means 10-6.)
HHH
25 μF 15 μF
[?] × 10²¹ F
X
The equivalent capacitance of this combination is 9.375 μF, or 9.375 × 10⁻⁶ F in scientific notation.
What is capacitor ?
A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by a non-conductive material, called a dielectric. When a voltage is applied to the capacitor, electric charge builds up on the plates, creating an electric field between them. The amount of charge that can be stored on the plates depends on the capacitance of the capacitor, which is determined by the size and spacing of the plates, as well as the properties of the dielectric material.
When capacitors are in series, their effective capacitance is given by:
1/C_series = 1/C_1 + 1/C_2 + ...
In this case, we have two capacitors in series, with capacitances of 25 μF and 15 μF:
1/C_series = 1/25μF + 1/15μF
1/C_series = (15 + 25)/(1525μF²)
1/C_series = 40/(375*μF²)
C_series = 375*μF²/40
C_series = 9.375 μF
Therefore, the equivalent capacitance of this combination is 9.375 μF, or 9.375 × 10⁻⁶ F in scientific notation.
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For small bodies with high thermal conductivity, the features surrounding the medium that favor lumped system analysis
The medium should be a poor conductor of heat
The medium should be motionless
Small bodies with high thermal conductivity, the medium should be a poor conductor of heat and should be motionless in order to favour lumped system analysis.
For small bodies with high thermal conductivity, the features surrounding the medium that favor lumped system analysis are that the medium should be a poor conductor of heat and the medium should be motionless.
In other words, for small bodies with high thermal conductivity, the thermal energy will stay confined within the boundaries of the medium if it is a poor conductor of heat and the medium is not moving. This allows the energy to be spread evenly throughout the system, which is why lumped system analysis can be used.
Lumped system analysis is a method used to analyse heat transfer and energy flow within a system. It assumes that thermal energy is transferred across a body of homogeneous material and can be used to calculate the temperature of an object at different points in the body.
The effectiveness of this method relies on the heat capacity of the medium and its thermal conductivity, which is why it is most suitable for small bodies with high thermal conductivity.
For large bodies, or bodies with low thermal conductivity, distributed system analysis is typically used instead of lumped system analysis. This method assumes that the body has different thermal properties at different points, and calculates the temperature at those points based on their respective thermal properties.
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Two moles of oxygen gas, which can be regarded as an Ideal gas with Cv = 22,1 JK 'mol, are maintained at 273k in a volume of 0,1 m ³ under 1 Sothermal conditions. Then, the gas is compressed reversibly to half of its original volume at constant pressure calculate P₁ and P2 Cp W, Show all derivation steps qp
Answer:
P1 = 45,174 Pa
P2 = 90,348 Pa
W = 2,259 J
Q = 2,259 J
ΔS = 0
Explanation:
We can use the ideal gas law, PV = nRT, to solve this problem. Since the gas is at constant temperature (isothermal), we can simplify this to PV = constant.
Given that there are two moles of oxygen gas in a volume of 0.1 m^3 at 273 K, we can calculate the initial pressure as follows:
P1V1 = nRT
P1 = nRT/V1
P1 = (2 mol)(8.31 J/mol.K)(273 K)/(0.1 m^3)
P1 = 45,174 Pa
Next, we compress the gas reversibly to half of its original volume (i.e. V2 = 0.05 m^3) at constant pressure. We can use the same equation, PV = constant, and the fact that the pressure is constant to solve for the final pressure:
P1V1 = P2V2
P2 = P1V1/V2
P2 = (45,174 Pa)(0.1 m^3)/(0.05 m^3)
P2 = 90,348 Pa
Now, we can calculate the work done during the compression process using the equation:
W = -PΔV
where ΔV is the change in volume (i.e. V2 - V1 = -0.05 m^3), and the negative sign indicates that work is done on the system during compression. Substituting the values, we get:
W = -(45,174 Pa)(-0.05 m^3)
W = 2,259 J
Finally, we can calculate the heat added to the system using the first law of thermodynamics:
ΔU = Q - W
where ΔU is the change in internal energy (which is zero since the temperature is constant), Q is the heat added to the system, and W is the work done on the system (which is negative). Solving for Q, we get:
Q = ΔU + W
Q = 0 J + 2,259 J
Q = 2,259 J
Since the temperature is constant, the heat added to the system is equal to the change in enthalpy:
ΔH = Q = 2,259 J
We can also calculate the change in entropy using the equation:
ΔS = nCv ln(T2/T1)
where Cv is the molar heat capacity at constant volume (which is given as 22.1 J/K.mol), and ln(T2/T1) is the natural logarithm of the ratio of final and initial temperatures. Since the temperature is constant, ΔS = 0.
Therefore, the final answers are:
P1 = 45,174 Pa
P2 = 90,348 Pa
W = 2,259 J
Q = 2,259 J
ΔS = 0
could someone help me with B?
i have the mark scheme i just don't know how they got that answer
Answer:
Explanation:
Distance is the total length of the path taken from point A to B (the total distance of the whole curvy train route).
Displacement is the straight-line distance from the start point to the end point. Draw a straight line from A to B, then measure it in exact cm. Multiply your measurement in cm by 5 to get the answer in km.
A spring of spring constant k=8.25N/m is displaced from equilibrium by a distance of 0.150 m. What is the stored energy in the form of spring potential energy?
PE is the potential energy stored in the spring, k is the spring constant, and x is the PE is the potential energy stored in the spring, k is the spring constant, and x is the displacement from equilibrium.
What is a displacement?Displacement is a vector quantity that describes the overall change in position of an object from its initial position to its final position. It is a vector because it has both magnitude (the distance between the initial and final positions) and direction (the direction from the initial position to the final position).
For example, if an object moves from point A to point B, its displacement is the vector that points from A to B, regardless of the path taken to get there. Displacement can be positive, negative, or zero, depending on the direction of the vector.
Displacement is often used in kinematics, which is the study of motion without considering the forces that cause the motion. It is a key concept in describing the motion of objects in one, two, or three dimensions.
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A 1.5kg block is held in place and compresses a 150N/m spring by 30cm from its relaxed position. The block is then released. What speed will the block have at the instant when the spring is no longer compressed?
Answer: simple harmonic motion
Simple harmonic motion. At the instant the spring is no longer compressed(equilibrium), all of our spring potential energy(kx^2/2) has been converted to kinetic energy(mv^2/2). All you have to do is find what your spring potential energy is when the spring is compressed using the spring constant(150N/m) and the distance it's compressed(30cm), use that as your kinetic energy, and solve for the velocity since you already know the mass.
Please help 50 points and Brainly
Answer: 1st one: chemical to mechanical to electrical to thermal
2nd: hydroelectric, 3rd: gravity
Adult brains are not capable of neurogenesiss . True False
Answer:
False. Adult brains are capable of neurogenesis, which is the process of generating new neurons (nerve cells) in the brain. Although it was previously believed that neurogenesis only occurred during early development, research has shown that certain regions of the brain, such as the hippocampus, continue to produce new neurons throughout adulthood. However, the rate of neurogenesis in adults is much lower than in developing brains
EX :SOMEONE FATHER TODAY YOUR FATHER DOES,T KNOW ABOUT TECH OR ANY SAMRT APPS BUT HE KNOW BETTER N HIS GENRATON
Commercially available large wind turbines blade span diameters larger than 100 m and over 3 MW of electric power at peak design have generate conditions. Consider a wind turbine with a 75-m blade span subjected to 25-km/h steady winds. If the combined turbine–generator effi- ciency of the wind turbine is 32 percent, determine (a) the power generated by the turbine and (b) the horizontal force exerted by the wind on the supporting mast of the turbine. Take the density of air to be 1.25 kg/m3, and disregard frictional effects on the mast.
The horizontal force that was exerted by the wind on the mast based on the power is 67.3KN.
What is the force?Blade Stan, d = 75m
Radius of Blade, r = 75m
wind velocity, V = 30 km/h V = 8.333 m/s
Turbine Generator efficiency or Power Co-efficient ((p) = 32% 0.32.
Flow rate across the turbine (in) = 125X8.333X X (75) 2 m
= 46017.583 kg/s
Air Exit velocity, Ve = V×√1 - Nterbine
Ve = 8.333 x √1 1- 0.32
Ve = 6.872 mls
Horizental force in x-direction (F); -
Fx = m (ve-v)
Fx = 46017-583X(6-872-8.333) = 67265.381 N
The Horizental force Extered on the Supporting mast F = -F F= 67.2654 KN
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Determine the horizontal force that was exerted by the wind on the mast base
Please do help me. Nonsense answers will be reported.
An object is thrown horizontally with a speed of 30 m/s from the top of a building. Complete the table below for the indicated time interval. Use g≈ 10 m/s²)
The time that was taken for the movement of the item is observed as 3 seconds.
How do you use the equations of motion?The equations of motion describe the motion of objects in terms of their position, velocity, acceleration, and time.
For the equation;
v = u + at
This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and time (t). If three of these variables are known, the equation can be rearranged to solve for the unknown variable.
We know that;
v = u - gt
We know that the object would come to rest after being thrown.
0 = 30 - 10t
-30 = - 10t
t = 3 seconds
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a tennis ball is dropped from a height of 1.21 m above the ground. calcualte its velocity when it is 0.27m from the ground
The velocity of the tennis ball when it is 0.27m from the ground is approximately 3.39 m/s.
What is velocity?
To calculate the velocity of the tennis ball when it is 0.27m from the ground, we can use the principle of conservation of mechanical energy, which states that the total mechanical energy of an object is conserved when it moves through a conservative force field, such as gravity.
At the initial position, the ball has potential energy due to its position above the ground, but no kinetic energy as it is at rest. At the final position, the ball has no potential energy (since it is at the same height as the ground), but it has kinetic energy due to its motion. Assuming that air resistance is negligible, the initial potential energy is converted into final kinetic energy, so we can equate these energies:
mgh = (1/2)mv²
where m is the mass of the ball, g is the acceleration due to gravity, h is the initial height of the ball above the ground, and v is the velocity of the ball when it is 0.27m from the ground.
We can rearrange this equation to solve for v:
v = √(2gh)
Substituting the given values, we get:
v = √(2 x 9.81 m/s² x (1.21 m - 0.27 m)) = 3.39 m/s
Therefore, the velocity of the tennis ball when it is 0.27m from the ground is approximately 3.39 m/s.
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while it is important to keep the two power supplies separate when powering a dc motor it is also necessary to connect
It is important to connect the two power supplies of a DC motor in order to prevent the motor from being damaged. By connecting the two power supplies, current can flow from one to the other, allowing the motor to be properly powered.
When powering a DC motor, it is important to keep the two power supplies separate to ensure safety and avoid damaging the motor. However, it is also necessary to connect the two power supplies with a common ground.
A DC motor is an electric motor that runs on direct current (DC) electricity. It works on the principle of electromagnetic induction and is widely used in industrial and household applications for various purposes, such as driving machinery and appliances.
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Janine hits a hockey puck across an ice rink. The distance between the puck and Janine for the first ten seconds after she hits it is graphed below.
Judging from the graph, which of the following statements is true?
A.
The hockey puck moved at a constant speed away from Janine.
B.
The hockey puck's speed decreased as it moved away from Janine.
C.
The hokey puck moved at a constant speed toward Janine.
D.
The hockey puck's speed increased as it moved away from Janine.
A. The hockey puck moved at a constant speed away from Janine.
When the hockey puck is skating across the ice at a constant speed?The hockey puck is in equilibrium as a result of moving at a steady pace. Dynamic equilibrium is the name given to this form of equilibrium. Hence, if the hockey puck is moving over the ice at a constant pace, it is in equilibrium.
Is velocity merely the direction in which an object moves and unrelated to speed?There is no connection between velocity and speed; velocity is the direction that an object moves in. Velocity is the combination of speed and direction. Speed and velocity are very similar to each other.
Which of Newton's equations of motion best describes the motion of a hockey puck sliding through ice without any external forces acting on it?The sum of the forces exerted on an object must be zero since, in accordance with Newton's first law of motion, an object moving at a constant speed experiences no net external force.
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What type of electromagnetic wave is sent as a signal by a cell phone to the
nearest cell tower?
A. Gamma rays
B. Microwaves
C. X-rays
D Ultraviolet
Answer:B. Microwaves
Explanation:
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In this circuit, what is the potential difference across C4?
Use the following values in your calculation:
V = 12.0 V
C1 = 3.0 ?F
C2 = 2.0 ?F
C3 = 2.0?F
C4 = 1.0 ?F
C5 = 4.0 ?F
V4 =
The potential difference across C4 can be found using the equation V = V4 - V3. Using the given values, V = 12.0V, C1 = 3.0 ?F, C2 = 2.0 ?F, C3 = 2.0 ?F, C4 = 1.0 ?F, and C5 = 4.0 ?F, we can solve for V4.
V4 = 12.0V + (3.0 ?F + 2.0 ?F + 2.0 ?F + 1.0 ?F) / (1.0 ?F + 4.0 ?F)
V4 = 12.0V + (8.0 ?F / 5.0 ?F)
V4 = 12.0V + 1.6V
V4 = 13.6V
Therefore, the potential difference across C4 is 13.6V - 12.0V = 1.6V.
The potential difference across C4 can be determined using the formula Q = CV. Where Q represents the charge stored in the capacitor, C represents capacitance, and V represents the potential difference across the capacitorTo determine the potential difference across C4, we can use the formula Q = CV. To determine Q, we need to determine the equivalent capacitance of the circuit.
The equivalent capacitance of capacitors in parallel is equal to the sum of their capacitance. The equivalent capacitance of capacitors in series is equal to the reciprocal of the sum of their reciprocals.C1, C2, and C3 are in series, and their equivalent capacitance is given by:C_eq1=1/((1/C1)+(1/C2)+(1/C3))=1/(1/3+1/2+1/2)=3/7 μF{C_eq1=1/((1/C1)+(1/C2)+(1/C3))=1/(1/3+1/2+1/2)=3/7μF}C_eq2 is the equivalent capacitance of C4 and C5 in parallel.C_eq2=C4+C5=1+4=5μF {C_eq2=C4+C5=1+4=5μF}
Now we can determine the equivalent capacitance of the entire circuit.C_eq=C_eq1+C_eq2=3/7+5=38/7μF{C_eq=C_eq1+C_eq2=3/7+5=38/7μF}Now, we can determine the charge stored in the circuit.Q=C_eqV=38/7*12= 65.14μC{Q=C_eqV=38/7*12=65.14μC}To determine the potential difference across C4, we can use the formula Q = CV.V=C4Q/C4= 65.14/1 = 65.14V{V=C4Q/C4=65.14/1=65.14V}Therefore, the potential difference across C4 is 65.14 V.
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A person with a mass of 55.0 kg jumps straight upwards, gaining 820.0 J of gravitational potential energy. How high did the person jump?
m=55.0 D=820 so were are looking for the velocity ? v= m\d V = 55.0*820 =45100 ...
A high-wire artist missteps and falls 9.2 m to the ground. What is her velocity upon landing (just before she strikes the ground)?
Answer:
Explanation:
We can use the kinematic equation to find the velocity of the high-wire artist just before she strikes the ground:
vf^2 = vi^2 + 2ad
where vf is the final velocity (the velocity just before she strikes the ground), vi is the initial velocity (which we can assume is 0), a is the acceleration due to gravity (which is approximately 9.81 m/s^2), and d is the distance fallen (which is 9.2 m).
Plugging in the values, we get:
vf^2 = 0 + 2(9.81 m/s^2)(9.2 m)
Simplifying:
vf^2 = 180.24 m^2/s^2
Taking the square root of both sides:
vf = 13.43 m/s
Therefore, the velocity of the high-wire artist just before she strikes the ground is 13.43 m/s.
Answer:
Below
Explanation:
Explanation:
Her POTENTIAL energy (mgh)
will be converted to KINETIC energy (1/2 mv^2)
so
mgh = 1/2 mv^2 divide both sides of the equation by m
gh = 1/2 v^2 solve for 'v'
v = sqrt ( 2 g h) = sqrt ( 2 * 9.81 * 9.2 ) = 13.4 m/s
I’m so stuck I’ve attempted these questions so many times I really don’t know
Answer:
1st one 3N to the left to achieve equilibrium
2nd one 5N to the left to achieve equilibrium
3rd one 2N to the top to achieve equilibrium
4th one 8N to the right to achieve equilibrium
Explanation:
What are density and volume?
Simple explanation please
Answer:
Explanation:
Density is a measure of how much mass is contained in a given volume. It is the amount of matter (mass) in a given space (volume). Density is usually expressed in units of mass per unit of volume, such as kilograms per cubic meter (kg/m³) or grams per milliliter (g/mL).
Volume is the amount of space occupied by an object or substance. It is the measurement of the three-dimensional space occupied by an object, substance, or material. Volume can be measured in different units, such as liters (L), cubic meters (m³), or cubic feet (ft³), depending on the scale of the object being measured.
A crane lifts an object weighing 25000N up with a constant speed of 0.8m/s. calculate the capacity of that crane
5. In the diagram below, Aircraft A is flying East and maintaining a groundspeed of 340 kt (a kt = speed of 1 NM / hr). Aircraft B is flying in the same direction as aircraft A but 210 NM ahead, maintaining a ground speed of 280 kt. Aircraft A will catch Aircraft B at Point ‘X’. What distance will Aircraft B have travelled when this event occurs?
For the event to occur, Aircraft B will have travelled a distance of 980 NM.
How to calculate distance?Since Aircraft A is flying East, we can assume that the positive direction is to the East and negative direction is to the West. Let's assume that the position of Aircraft A is x and position of Aircraft B is x + 210 NM.
Let t be the time it takes for Aircraft A to catch up with Aircraft B. At that moment, both aircraft will be at the same position, so:
distance traveled by Aircraft A = distance traveled by Aircraft B
Ground speed x time = Ground speed x time + 210
Using the given ground speeds, we can set up the equation as:
340t = 280t + 210
60t = 210
t = 3.5 hours
Therefore, Aircraft B will have traveled a distance of:
distance = ground speed x time
distance = 280 kt x 3.5 hr
distance = 980 NM
So, Aircraft B will have traveled 980 NM when Aircraft A catches up with it at Point X.
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Use the work energy theorem to rank the final kinetic energy of a ball based on the initial kinetic energy Ki, the magnitude of a constant force F on the ball, the displacement of the ball, d and the angle, theta between the displacement of the ball and the net force on the ball. Rank from greatest kinetic energy (1) to least kinetic energy (4).
a) Ki=150J F=10N d=15m theta=90 degrees
b) Ki=300J F=200N d=1.5m theta=180 degrees
c) Ki=200J F=25N d=4m theta=0 degrees
d) Ki=450J F=15N d=30m theta=150 degrees
Answer:
Explanation:
The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy. Therefore, we can use this theorem to calculate the final kinetic energy of the ball in each case.
We know that the work done by a constant force is given by the equation W = Fd cos(theta), where F is the magnitude of the force, d is the displacement of the ball, and theta is the angle between the force and displacement vectors.
Using the work-energy theorem, we can write:
W = ΔK = Kf - Ki
where ΔK is the change in kinetic energy, Kf is the final kinetic energy, and Ki is the initial kinetic energy.
We can rearrange this equation to solve for Kf:
Kf = Ki + W = Ki + Fd cos(theta)
a) Kf = 150 J + (10 N)(15 m)cos(90°) = 150 J
b) Kf = 300 J + (200 N)(1.5 m)cos(180°) = 0 J
c) Kf = 200 J + (25 N)(4 m)cos(0°) = 300 J
d) Kf = 450 J + (15 N)(30 m)cos(150°) = 112.5 J
Ranking from greatest to least final kinetic energy:
c) Ki=200J F=25N d=4m theta=0 degrees
a) Ki=150J F=10N d=15m theta=90 degrees
d) Ki=450J F=15N d=30m theta=150 degrees
b) Ki=300J F=200N d=1.5m theta=180 degrees
Just after launch from the earth, the space-shuttle orbiter is in the 42 x 153–mi orbit shown. At the apogee point A, its speed is 17246 mi/hr. If nothing were done to modify the orbit, what would its speed be at the perigee P? Neglect aerodynamic drag. (Note that the normal practice is to add speed at A, which raises the perigee altitude to a value that is well above the bulk of the atmosphere.) The radius of the earth is 3959 mi.
If nothing were done to modify the orbit, the speed of the space-shuttle orbiter at the perigee P would be approximately 17085 mi/hr
What is the speed of the space-shuttle?
We can use the principle of conservation of energy to determine the speed of the space-shuttle orbiter at the perigee P.
At the apogee point A, the potential energy of the space-shuttle orbiter is at a maximum, while its kinetic energy is at a minimum. Conversely, at the perigee point P, the kinetic energy is at a maximum, while the potential energy is at a minimum.
The potential energy of the space-shuttle orbiter at any point in its orbit can be calculated as:
U = - G M m / r
where;
G is the gravitational constant, M is the mass of the Earth, m is the mass of the orbiter, and r is the distance between the Earth's center and the orbiter.The kinetic energy of the orbiter can be calculated as:
K = (1/2) m v^2
where;
v is the velocity of the orbiter.Since the sum of the kinetic energy and potential energy remains constant throughout the orbit, we can set the total energy E equal to the sum of the kinetic and potential energies at the apogee point A:
E = U(A) + K(A)
At the perigee point P, the total energy is the same, so we can write:
E = U(P) + K(P)
Equating these two expressions for E, we get:
U(A) + K(A) = U(P) + K(P)
Substituting the expressions for potential and kinetic energy, we get:
G M m / r(A) + (1/2) m v(A)² = - G M m / r(P) + (1/2) m v(P)²
Canceling out the mass of the orbiter and multiplying both sides by -1, we get:
G M / r(A) - (1/2) v(A)² = G M / r(P) - (1/2) v(P)²
Solving for v(P), we get:
v(P) = √[2 G M / r(P) - (1/2) v(A)² + 2 G M / r(A)]
Now we can substitute the given values and solve for v(P):
v(A) = 17246 mi/hr
r(A) = 3959 + 153 = 4112 mi
r(P) = 3959 + 42 = 4001 mi
G M = 1.327 × 10^11 m^3/s^2
Converting units to SI, we get:
v(A) = 7742.6 m/s
r(A) = 6617.6 km
r(P) = 6400.2 km
G M = 3.986 × 10¹⁴ m³/s²
Substituting these values, we get:
v(P) = √[2 (3.986 × 10¹⁴) / (6400.2 × 1000) - (1/2) (7742.6)² + 2 (3.986 × 10¹⁴) / (6617.6 × 1000)]
= 7640.7 m/s
Converting back to miles per hour, we get:
v(P) = 17085 mi/hr (rounded to the nearest mile per hour)
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