# How does impulse relate to work?

Where *Δp* is the impulse and *W* is the work done.

I believe the impulse and work done equations can be combined to provide an answer to this question.

The "impulse" or change in momentum is denoted by Δp.

The distance traveled in the force's direction is given by d.

- By replacing force, F, with the following, we can combine the equations:

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Impulse is the change in momentum of an object, and it is equal to the force applied to the object multiplied by the time interval over which the force is applied. Work, on the other hand, is the transfer of energy that occurs when a force is applied to an object and it moves in the direction of the force. The relationship between impulse and work is that they both involve the application of force over a distance, but impulse specifically focuses on the change in momentum, while work focuses on the transfer of energy.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A ball with a mass of #4 kg # and velocity of #1 m/s# collides with a second ball with a mass of #9 kg# and velocity of #- 4 m/s#. If #40%# of the kinetic energy is lost, what are the final velocities of the balls?
- A ball with a mass of #4 kg# moving at #3 m/s# hits a still ball with a mass of #26 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?
- The kinetic energy of an object with a mass of #3 kg# constantly changes from #50 J# to #270 J# over #5 s#. What is the impulse on the object at #3 s#?
- A ball with a mass of #5 kg # and velocity of #2 m/s# collides with a second ball with a mass of #3 kg# and velocity of #- 5 m/s#. If #10%# of the kinetic energy is lost, what are the final velocities of the balls?
- A subcompact car, mass 1,000 kg, runs into and sticks to an at-rest, 2,200 kg SUV. lf their final speed is 4.7 m/s, what was the smaller car's initial speed?

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