(a) Tension (T) does positive work. (b) Air resistance (R) does negative work. (c) Gravity (Fg) does zero work.
Whenever a mass is hung on a string and is left to swing from its highest point to the lowest point, it experiences three forces, which are tension (T), air resistance (R), and gravity (Fg).The force that does positive work is tension (T). Tension is the force acting on the mass towards the midpoint of its swing. The tension in the string is the force responsible for the work done on the mass during its oscillation from the highest point to the lowest point. When the mass moves in the direction of the tension, the tension does positive work.
The force that does negative work is air resistance (R). Air resistance opposes the motion of the mass, and since the motion of the mass is in the direction of gravity, air resistance does negative work on the mass. The force that does zero work is gravity (Fg). Since the motion of the mass is perpendicular to gravity, gravity does no work on the mass.
Learn more about Air resistance:
https://brainly.com/question/27888011
#SPJ11
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.
what quantities are conserved for a comet orbiting the sun?view available hint(s)for part chint 1for part c. what quantities are usually conservedwhat quantities are conserved for a comet orbiting the sun?speedtotal mechanical energykinetic energyangular momentum with respect to the center of the ellipseaccelerationgravitational potential energyangular speedlinear momentumangular momentum with respect to the sun
The quantities that are usually conserved for a comet orbiting the sun are:
Speed: The speed of a comet remains constant unless it is acted on by an outside force.
Total Mechanical Energy: The sum of the kinetic and potential energies of a comet remain constant in a closed system.
Kinetic Energy: The energy of a comet due to its motion.
Angular Momentum with Respect to the Center of the Ellipse: The angular momentum of a comet with respect to the center of its orbit remains constant.
Acceleration: The acceleration of a comet is zero unless acted upon by a force.
Gravitational Potential Energy: The potential energy of a comet due to its gravitational attraction to the sun remains constant.
Angular Speed: The angular speed of a comet remains constant unless it is acted upon by a force.
Linear Momentum: The momentum of a comet is conserved, meaning that its momentum remains the same unless acted upon by a force.
Angular Momentum with Respect to the Sun: The angular momentum of a comet with respect to the sun remains constant.
for such more questions on Angular Momentum
https://brainly.com/question/4126751
#SPJ11
Find the value of x. Round the length to the nearest tenth.
Answer:
well first u divide the numbers
A survey was conducted at local colleges around Madison, Wisconsin to find out the average height of a college student. Of 692 students surveyed, 421 replied that they were over 6 feet tall. What is the standard error? Answer choices are rounded to the hundredths place.
A survey was conducted at local colleges around Madison where 692 students were surveyed, and 421 replied that they were over 6 feet tall showing a standard error of 0.0084 in the average height of a college student.
The standard error is given by the formula given below:
[tex]$$SE= {s}/{\sqrt{n}}$$[/tex]
Where s is the standard deviation,
n is the sample size.
Now let us find out the standard deviation by using the formula given below:
[tex]$$s=\sqrt{\frac{(421-271.17)^2+(271.17-270)^2}{692-1}}$$[/tex]
After calculating we get that the standard deviation s is equal to $0.2208$.
Now let us plug the value of the standard deviation s and sample size n into the formula for standard error:
[tex]$$SE={s}/{\sqrt{n}}$$[/tex]
On substituting the respective values, we get [tex]$$SE={0.2208}/{\sqrt{692}}$$[/tex]
On solving, we get that the standard error is equal to 0.0084
Therefore, the standard error is 0.0084.
Learn more about standard error: https://brainly.com/question/14467769
#SPJ11
2.1 [2] As more resistors are added in series, the equivalent resistance of the circuit approaches infinity. In contrast, as more resistors are added in parallel, the equivalent resistance a. approaches infinity b. approaches zero c. becomes zero d. approaches 1 Ω
2.2 [2] Kirchhoff's loop rule is equivalent to which of the following principles? a. conservation of charge b. conservation of energy c. conservation of mass d. conservation of force
2.1 As more resistors are added in parallel, the equivalent resistance approaches zero
2.2 Kirchhoff's loop rule is equivalent to the conservation of energy principle.
As more resistors are added in series, the equivalent resistance of the circuit approaches infinity. In contrast, as more resistors are added in parallel, the equivalent resistance approaches zero. This statement is TRUE. The equivalent resistance, Req, of a parallel combination of resistors is less than any of the resistors in the combination, while for a series combination it is equal to the sum of the resistances.
Kirchhoff's loop rule is equivalent to the conservation of energy principle. Kirchhoff's loop rule or Kirchhoff's voltage law (KVL) is a result of the conservation of energy principle. The principle of conservation of energy states that energy can neither be created nor destroyed, it can only be transformed from one form to another. In a closed loop, the total energy gained is equal to the total energy lost, according to the principle of conservation of energy.
Learn more about Kirchhoff's loop rule and equivalent resistance at : https://brainly.com/question/30580929
#SPJ11
when the air is in geostrophic balance, it flows _______ to isobars _________ the boundary layer.
When the air is in geostrophic balance, it flows parallel to isobars and above the boundary layer.
Geostrophic balance is a state of balance between the pressure gradient force and the Coriolis force, where the pressure gradient force is directed from higher to lower pressure, and the Coriolis force is perpendicular to the direction of motion. In this state, the wind flows parallel to the isobars, with the pressure gradient force and the Coriolis force balancing each other out.
The boundary layer is the layer of air near the Earth's surface where friction between the air and the surface slows down the wind and causes it to flow in a more complex manner, with the wind direction changing with height. However, in the geostrophic flow regime, the wind flow is typically above the boundary layer and thus not affected by surface friction.
Therefore, in geostrophic balance, the wind flows parallel to isobars and above the boundary layer, with little to no effect from the Earth's surface.
Learn more about geostrophic balance here
brainly.com/question/28314662
#SPJ4
Critically discuss why the environment in most communities continue to be dirty amidst the existence of local government structures
Explanation:
# Unmanaged population distribution
# lack of sanitation programs
# lack of awareness programs
# lack of implementation of policies and rules
# carelessness of people and government
# Unmanaged waste disposal
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
which of the following actions will cause the relative humidity of an air parcel to increase? select all that apply
a. Keep the parcel’s temperature constant and increase the parcel’s dew point
b. Decrease the parcels temperature and increasethe parcels dew point
c. Keep the parcel’s temperature constant and keep the parcels dew point constant
d. Increase the parcels temperature and increase the parcels dew point
e. Keep the parcels dew point constant and increase the parcels temperature
The relative humidity of an air parcel will increase if any of the following actions are taken:
Keep the parcel’s temperature constant and increase the parcel’s dew pointDecrease the temperature of the parcel and increase the parcels dew pointIncrease the temperature of the parcel and increase the parcels dew pointKeep the parcels dew point constant and increase the temperature of the parcelWhat is relative humidity?To understand this further, we can look at the formula for relative humidity, which is the amount of water vapor in the air divided by the amount of water vapor that can exist at a particular temperature. When the temperature is kept constant and the dew point increases, the amount of water vapor in the air increases, resulting in an increase in relative humidity.
The followings are the given options and the actions they will take that will cause the relative humidity of an air parcel to increase:
Option A: Keep the parcel's temperature constant and increase the parcel's dew point. This action would increase the RH of the air parcel because it will increase the quantity of water vapor in the air parcel. As the parcel's temperature is constant, the ability of the air to hold water vapor also remains constant.
Option B: Decrease the parcel's temperature and increase the parcel's dew point. This action would also increase the RH of the air parcel. As the temperature of the parcel decreases, the amount of moisture that the air can contain also decreases. When the dew point is raised, the quantity of water vapor in the air parcel rises relative to the amount it can carry.
Option C: Keep the parcel's temperature constant and keep the parcel's dew point constant. In this case, there will be no increase in RH because the quantity of water vapor in the air parcel will remain the same as the ability of the air to hold water vapor remains constant.
Option D: Increase the parcel's temperature and increase the parcel's dew point. Increasing the parcel's temperature will raise the ability of the air to hold water vapor, but it will not increase the amount of water vapor in the air parcel. As a result, the RH of the air parcel will decrease.
Option E: Keep the parcel's dew point constant and increase the parcel's temperature. This action will also decrease the RH of the air parcel as it will increase the amount of moisture that the air can hold. Thus, the relative humidity will decrease.
To know more about relative humidity follow
https://brainly.com/question/13275394
#SPJ11
hydroelectric dams generate electricity by question 20 options: a. using the energy of the river to produce steam. b. using run-of-the-river systems, in which turbines are placed into the natural water flow. c. water impoundment, in which dam operators control the rate of water flow to turbines. d. using generators that are placed on the bottom of a river. e. converting the kinetic energy of the water impounded behind a dam into potential energy.
Hydroelectric dams generate electricity through water impoundment, in which dam operators control the rate of water flow to turbines.
c is the correct option.
Hydroelectric dams are dams used to produce electricity. The movement of water drives turbines, which power generators that generate electricity.
The movement of water, generated by gravity, is what drives turbines. Hydroelectric dams are the most widely used renewable energy source, accounting for approximately 16% of global electricity production.
Hydroelectric dams generate electricity through water impoundment, in which dam operators control the rate of water flow to turbines.
This is the process of using turbines that are powered by the movement of water that has been dammed to generate electricity.
Turbines are powered by water that has been dammed to generate electricity, which is then sent to a power station to be used.
The electricity generated from hydroelectric dams is clean and safe, making it an important part of the renewable energy mix. They are also an essential part of the global infrastructure because they provide reliable, low-cost power.
They also assist in the management of rivers, flood control, and irrigation systems in various parts of the world.
To know more about Hydroelectric dams: https://brainly.com/question/18776929
#SPJ11
what is the relationship between the velocity of a fluid and the size of the sediment that the fluid carries?
The relationship between the velocity of a fluid and the size of the sediment that the fluid carries is directly proportional.
Higher velocity fluids are capable of carrying larger sediments while lower-velocity fluids are capable of carrying smaller sediments. This is due to the fact that higher-velocity fluids have greater kinetic energy, which allows them to overcome the gravitational forces that hold larger sediments in place.
A fluid is a substance that is able to flow and take on the shape of the container it is placed in, with the ability to deform under applied shear stress. Examples of fluids include liquids and gases. In contrast, solids maintain their shape and volume under applied stress.
To know more about "- fluid here
https://brainly.com/question/19416780
#SPJ4
an electromagnetic wave is transporting energy in the positive y direction. at one point and one instant the magnetic field is in the positive x direction. the electric field at that point and instant points in the
Energy is being transported in the positive y direction by an electromagnetic wave. The magnetic field is in the positive x direction at one spot and one moment. At that precise moment, the electric field is oriented in the "negative z" direction.
The given electromagnetic wave is transporting energy in the positive y direction. At one point and one instant, the magnetic field is in the positive x direction. Now we have to find the direction of the electric field at that point and instant. According to the right-hand rule, when the magnetic field is directed towards the positive x-axis, the electric field will be directed downwards along the negative z-axis. Therefore, the electric field at that point and instant points in the negative z direction.
To know more about electromagnetic wave:https://brainly.com/question/75996
#SPJ11
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.
Learn more about Resistor:
https://brainly.com/question/14883923
#SPJ11
A bitmap image is provided in two different resolutions. Image 1 has a resolution of 1500 x 1225. Image 2 has a resolution of 500 x 350. Which of the following statements is true when the sizes of both the files are increased by 25 percent?
Image 1 is sharper than image 2 and has a larger file size than image 2.
The true statement is "Image 1st is sharper than Image 2nd and has a larger file size than Image 2nd"
What is a bitmap image?A bitmap image is a type of digital image that is made up of pixels, which are small squares of color that form an image.
Bitmap image also known as raster images.
Explain image resolution?Image resolution refers to the number of pixels contained in a digital image, typically measured as the number of pixels per inch (PPI) or dots per inch (DPI). The resolution of an image determines the level of detail and clarity that can be seen in the image.
To know more about bitmap image, visit:
https://brainly.com/question/26230407
#SPJ1
what are two characteristics of net forces that are balanced
Balanced net forces have equal and opposing forces that cancel each other out and provide a net force of zero, which does not alter the motion of an item.
An object's velocity remains constant and motion is unaltered when the net forces acting on it are balanced. This indicates that the thing is either stationary or moving continuously. When the forces exerted on an item are opposing in direction and of equal magnitude, they are said to be balanced forces. The forces in this situation cancel one another out, leaving a net force of zero. This can happen when one force is applied to an item and that object applies an equal and opposite force in the opposite direction to another object. It can also happen when two or more forces are applied in opposing directions and of equal magnitude. Understanding equilibrium and stability in physics requires a knowledge of the idea of balanced forces.
learn more about Balanced net forces here:
https://brainly.com/question/29769471
#SPJ4
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.
To know more about velocity:
https://brainly.com/question/29519833
#SPJ11
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.
To know more about central nervous system, refer here:
https://brainly.com/question/29974261#
SPJ11#
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.
To learn more about moon, click here:
https://brainly.com/question/398659
#SPJ11
if the true stress - true plastic strain curve can be described by the hollomon equation , obtain the true strain at the onset of necking in terms of hollomon equation parameters
The true strain at the onset of necking can be obtained from the Hollomon equation as follows: true strain = (K/S)^(1/n).
Here, K is the strength coefficient, S is the stress, and n is the strain hardening exponent. Thus, given the values of these parameters, we can calculate the true strain at the onset of necking.
The Hollomon equation is a mathematical expression for the true stress-true strain curve that relates the true stress to the true strain in a material. It is expressed as follows: true stress = K(true strain)^n. Here, K is the strength coefficient and n is the strain hardening exponent.
The true strain at the onset of necking is the strain at which the material starts to deform plastically instead of elastically. This can be obtained from the Hollomon equation by rearranging it to the form true strain = (K/S)^(1/n). Thus, given the values of the parameters K, S, and n, we can calculate the true strain at the onset of necking.
To know more about elastically click on below link:
https://brainly.com/question/14450755#
#SPJ11
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.
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.
To know more about velocity , visit :
https://brainly.com/question/17127206
#SPJ1
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).
To know more about velocity visit :-
https://brainly.com/question/80295
#SPJ1
I need to figure out the missing boxes and work out the power, work done or time taken
To calculate the missing values in the table, we can use the formulas:
Power = Work Done / Time TakenWork Done = Power x Time TakenTime Taken = Work Done / PowerUsing these formulas, we can fill in the missing values:
Power(W) Work Done(J) Time Taken(s)
For a,. 3000 90000 30
For b,. 20 100 5
For c,. 50 100 2
For d. 700 245 0.35
For e. 25 1875 75
For f. 50000 500000 10
For g. 150 450 3
For h. 0.5 10 20
What is power?
Power is the rate at which work is done or energy is transferred. Mathematically, power is defined as the amount of work done or energy transferred per unit time. The unit of power is the watt (W), which is equal to one joule of work per second.
To know more about the power, visit:
https://brainly.com/question/29575208
#SPJ1
To calculate the missing values in the table, we can use the formulas:
Power = Work Done / Time Taken
Work Done = Power x Time Taken
Time Taken = Work Done / Power
Using these formulas, we can fill in the missing values:
Power(W) Work Done(J) Time Taken(s)
For a,. 3000 90000 30
For b,. 20 100 5
For c,. 50 100 2
For d. 700 245 0.35
For e. 25 1875 75
For f. 50000 500000 10
For g. 150 450 3
For h. 0.5 10 20
What is power?
Power is the pace at which labour or energy is done or transferred. Power is described mathematically as the quantity of labour done or energy moved per unit time. The watt (W) is the measure of electricity, and it equals one joule of work per second.
To know more about the power, visit:
brainly.com/question/29575208
#SPJ1
A 12100 kg railroad car is coasting on a level, frictionless track at a speed of 19.0 m/s when a 4790 kg load is dropped onto it.
If the load is initially at rest, find the new speed of the car and the % change of the kinetic energy.
Hint 1: If the load is dropped into the car, it is like the car is "colliding� with a stationary load. If the load is stuck in the car, can they have different final velocities from one another?
The percent change in the kinetic energy of the system is [(0.5*(12100 + 4790)*1722) - 5.58 x 106] / (5.58 x 106) x 100% = 4.41%.
The 12100 kg railroad car is initially travelling at a speed of 19.0 m/s and has a kinetic energy of KE = 0.5*12100*1902 = 5.58 x 106 Joules. The 4790 kg load is dropped onto the car from rest, so its initial kinetic energy is 0.
When the load is dropped onto the car, the two objects collide and their velocities after the collision will be equal. Therefore, the final speed of both the railroad car and the load will be v = (12100*19 + 4790*0) / (12100 + 4790) = 17.2 m/s. The percent change in the kinetic energy of the system is [(0.5*(12100 + 4790)*1722) - 5.58 x 106] / (5.58 x 106) x 100% = 4.41%.
Learn more about change in kinetic energy: brainly.com/question/30499217
#SPJ11
what is the current in a counductor if 3.15*10^18 electrons pass a given point in the conductor in 10 seconds
The current in a counductor if 3.15*10^18 electrons pass a given point in the conductor in 10 seconds is 0.0504 amperes
Current calculation.
The current in a conductor is defined as the rate at which electric charge flows through it. The unit of current is amperes (A), which is defined as coulombs per second. One coulomb is equal to the charge on 6.24 × 10^18 electrons.
Given that 3.15 × 10^18 electrons pass a given point in the conductor in 10 seconds, we can find the charge that flows through the point as follows:
Number of electrons = 3.15 × 10^18
Charge on one electron = 1.6 × 10^-19 coulombs
Total charge = Number of electrons × Charge on one electron
Total charge = 3.15 × 10^18 × 1.6 × 10^-19
Total charge = 0.504 coulombs
The current is the rate of flow of charge, so we can find it by dividing the total charge by the time taken:
Current = Total charge ÷ Time taken
Current = 0.504 coulombs ÷ 10 seconds
Current = 0.0504 amperes (A)
Therefore, the current in the conductor is 0.0504 amperes, or 50.4 milliamperes (mA).
Learn more about current below.
https://brainly.com/question/24858512
#SPJ1
a spacecraft is in a circular orbit of mars at an altitude of 200 km. calculate its speed and its perio
The speed of the spacecraft in a circular orbit around Mars at an altitude of 200 km is approximately 3,543.62 m/s, and the period of the orbit is approximately 6,867.97 seconds or 1.91 hours.
To calculate the speed of a spacecraft orbiting Mars in a circular orbit, use the formula: v = √(GM/R)
Where: v = speed of the spacecraft in meters per second
G = gravitational constant 6.674 × 10⁻¹¹ N m²/kg²
M = mass of Mars (6.39 × 10²³ kg)
R = radius of the orbit (200 km + the radius of Mars, 3,389 km)
Substituting in the values, we get:
v = √((6.674 × 10⁻¹¹ N m²/kg²) × (6.39 × 10²³ kg) / (3.5895 × 10⁶ m))
v ≈ 3,543.62 m/s
Therefore, the speed of the spacecraft in a circular orbit around Mars at an altitude of 200 km is approximately 3,543.62 m/s.
The formula to calculate the period of a circular orbit is T = 2πR/v
Where: T = period of the orbit in seconds
R = radius of the orbit in meters (200 km + 3389.5 km = 3589.5 km = 3.5895 × 10⁶ m)
v = speed of the spacecraft in meters per second
Plugging in the values, we get:
T = 2π(3.5895 × 10⁶ m) / (3,543.62 m/s)
T ≈ 6,867.97 seconds
The period of the orbit is approximately 6,867.97 seconds or 1.91 hours.
Therefore, the speed of the spacecraft in the circular orbit is 3,584 m/s and the period of the orbit is 6,867.97 seconds.
Learn more about speed here:
brainly.com/question/13943409
#SPJ11
An aircraft of mass 3.2 * 10^5 kg accelerates along a runway. calculate the change in kinetic energy in mega joules when the aircraft accelerates a) 0 to 10m/s b) From 30m/s to 40 m/s c) From 60m/s to 70m/s
Explanation:
E=(mv²)/2 ΔE = E2-E1 = (m(v2²-v1²))/2 = ?
от этогo:
а) ΔE = 16 MДж
б) ΔE = 112 МДж
c) ΔΕ = 208 МДж
The tires of a car make 95 revolutions as the car reduces its speed uniformly 95 km/h to 55 km/h. The tires have a diameter of 0.80 m. (a) what was the angular acceleration of the tires? If the car continues to decelerate at this rate, (b) how much more time is required for it to stop, and (c) how far does it go?
(a) Angular acceleration of the tyres= 7.3 rad/s^2
(b) Time required to stop= 8.9 s
(c) Distance travelled= 492.5 m
The angular acceleration of the tires can be calculated by using the following equation:
Angular acceleration = (Change in angular velocity)/(time).
Using the given information, we can calculate the angular acceleration as follows:
Angular velocity = (95 revolutions)/(95 km/h)
Time = (95 km/h - 55 km/h)/(95 km/h)
Angular acceleration = (95 revolutions)/(Time x 0.80 m)
Angular acceleration = 7.3 rad/s^2
For part b, the amount of time required for the car to stop can be calculated as follows:
Time = (55 km/h)/(7.3 rad/s^2 x 0.80 m)
Time = 8.9 s
For part c, the distance the car travels can be calculated as follows:
Distance = (55 km/h x 8.9 s)
Distance = 492.5 m
"angular acceleration", https://brainly.com/question/31145298
#SPJ11
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
a 421 kg block is puled up a 4.54 degree incline by a constant force f of 3282 n. the coefficient of friction mu between the block and the plane is 0.47. how fast in m/s will the block be moving 6 seconds after the pull is applied?
The block will be moving at 3.97 m/s 6 seconds after the pull is applied.
Given Mass of the block, m = 421 kg, Inclined angle, θ = 4.54°, Force applied, F = 3282 N, Coefficient of friction, μ = 0.47, Time, t = 6 s
Using Newton's second law of motion, F - μmg sin θ = ma
Where,
m = Mass of the block
g = Acceleration due to gravity
a = Acceleration of the block
Substituting the given values,
3282 - 0.47 × 421 × 9.81 × sin 4.54° = 421 × a
a = 0.6614 m/s²
Using kinematic equations of motion,
v = u + at
Where,
u = Initial velocity
v = Final velocity
a = Acceleration
t = Time
Since the initial velocity is zero, the above equation becomes
v = at
Substituting the values,
v = 0.6614 m/s² × 6 s
v = 3.97 m/s
Therefore, the block will be moving at 3.97 m/s 6 seconds after the pull is applied.
More on friction: https://brainly.com/question/29073383
#SPJ11
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.
To know more about proportional equation:https://brainly.com/question/21749206
#SPJ11
