The magnitude of the change in momentum of the ball can be found by subtracting the initial momentum from the final momentum. The magnitude of the impulse applied to the ball can be found by dividing the magnitude of the change in momentum by the change in time.
The magnitude of the change in momentum of the ball can be found by subtracting the initial momentum from the final momentum. Momentum is given by the equation p = mv, where p is momentum, m is mass, and v is velocity. In this case, the mass of the ball is 0.15 kg. The initial momentum is calculated as (0.15 kg)(-32 m/s), and the final momentum is calculated as (0.15 kg)(54.5 m/s). Subtracting the initial momentum from the final momentum gives us the change in momentum, which is (0.15 kg)(54.5 m/s) - (0.15 kg)(-32 m/s). The magnitude of the change in momentum is the absolute value of this difference.
To find the magnitude of the impulse applied to the ball by the bat, we can use the equation for impulse, which is given by the equation J = FΔt, where J is impulse, F is force, and Δt is the change in time. In this case, the time of the collision is given as 20 ms, which can be converted to seconds by dividing by 1000. The magnitude of the impulse can then be found by dividing the magnitude of the change in momentum by the change in time.