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A particle is observed to slow down, stop, turn around, and speed up in the opposite...

A particle is observed to slow down, stop, turn around, and speed up in the opposite direction. What is the geometric relationship between the particle’s impulse, j, and it’s momentum, p ?

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Answer #1

Momentum=mass*velocity

Also, direction of momentum is in the direction of velocity.

Impulse is rate of change of momentum. So, direction of impulse is in the direction of change in momentum.

For the given problem, let the particle is moving towards right initially.

So, direction of initial momentum is towards right.

Also, since velocity is decreasing, momentum is decreasing, which implies, impulse is in opposite direction to momentum. So, impulse is towards left(i.e.opposite to initial momentum)

Also, when particle has turned around and started speeding up, direction of momentum is towards left and direction of impulse is also towards left.

So, required geometric relation: Initially, impulse is in opposite direction to that of momentum. When the particle turns around and starts speeding up, impulse is in the same direction as that of momentum.

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