Question

A force of 35 N acts on a ball for 0.2 s. If the ball is initially at rest:

a. What is the impulse on the ball?
b. What is the final momentum of the ball?

Answer 1

To solve this problem we will apply the concepts related to momentum and momentum on a body. Both are equivalent values but can be found through different expressions. The impulse is the product of the Force for time while the momentum is the product between the mass and the velocity. The result of these operations yields equivalent units.

PART A ) The Impulse can be calculcated as follows

`L= F\Delta t`

Where,

F = Force

`\Delta t =`Change in time

Replacing,

`L = (35N)(0.2s)`

`L= 7N\cdot s`

PART B) At the same time the momentum follows the conservation of momentum where:

Initial momentum= Final momentum

And the change in momentum is equal to the Impulse, then

`\Delta p = L`

And

`\Delta p = p_f - p_i`

There is not initial momentum then

`\Delta p = p_f`

`L = p_f`

`p_f = 7N\cdot s = 7kg\cdot m/s`