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a baseball has a mass of 0.145 kg. a pitcher's fastball travels at 42.0 m/s. suppose the fastball accelerates at a rate of -2.00 m/s^2. what is the momentum change per second of the fastball? unit: kg*m/s^2.



Answer :

MathPhys

Answer:

-0.290 kg m/s²

Explanation:

Momentum is equal to the mass times the velocity. Acceleration is equal to the change in velocity over time. Therefore, we can show that the change in momentum over time is equal to the mass times acceleration.

Starting with definition of momentum:

p = mv

Change in momentum:

Δp = mΔv

Divide both sides by change in time:

Δp/Δt = mΔv/Δt

Substitute expression for acceleration:

Δp/Δt = ma

Plug in values and solve:

Δp/Δt = (0.145 kg) (-2.00 m/s²)

Δp/Δt = -0.290 kg m/s²

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