Question

a ball of mass 4.6 $g$ with a speed of 27.3 $m/s$ strikes a wall at an angle 23.0 $^{\circ}$ and then rebounds with the same speed and angle. it is in contact with the wall for 38.0 $ms$. what is the magnitude of the impulse associated with the collision force?

Answer 1

The magnitude of the impulse associated with the collision force is found to be 0.097 kgm/s.

The mass of the ball is 4.6 Kg.

The speed with which the ball strikes the wall is 27.3 m/s and at an angle of 23°. The ball rebound with same speed and the time of contact of the ball and the wall is 38 ms.

The impulse imparted with the collision force of the ball which is thrown at some angle A, with speed V and rebounded at the same speed is given by,

I = 2MV.Sin(A)

So, putting all the values in order to find the impulse of the ball,

I = 2(4.6/1000)(27.3)(sin23°)

I = 0.097 kgm/s.

So, the magnitude of the impulse associated with the ball is found to be 0.097 kgm/s.

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