# How does momentum relate to the newton's laws?

Newton's second law states that, the rate of change of momentum of a body is proportional to the applied force and the change takes place in the direction of applied force.

An easy method to express everything mathematically is,

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According to Newton's laws of motion, the change in momentum of an object is directly proportional to the force applied to it and occurs in the direction of that force. This is expressed by Newton's second law: ( F = ma ), where ( F ) is force, ( m ) is mass, and ( a ) is acceleration. Momentum (( p )) is defined as ( p = mv ), where ( m ) is mass and ( v ) is velocity. Combining these equations, Newton's second law can be written as ( F = \frac{dp}{dt} ), indicating that force is the rate of change of momentum with respect to time.

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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.

- Two identical balls are in contact on a table . A third identical ball strike them symmeritically and come to rest after impact . The coefficient of restitution is? Thanks
- A ball with a mass of #2 kg # and velocity of #8 m/s# collides with a second ball with a mass of #6 kg# and velocity of #- 1 m/s#. If #20%# of the kinetic energy is lost, what are the final velocities of the balls?
- Which has more momentum, a #7kg# object moving at #4m/s# or a #6kg# object moving at #7m/s#?
- Which has more momentum, a #5kg# object moving at #4m/s# or a #20kg# object moving at #20m/s#?
- A ball with a mass of #2 kg# moving at #3 m/s# hits a still ball with a mass of #10 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?

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