A baseball (m = 145 g) traveling 45 m/s moves a fielder's glove backward 15 cm when the ball is caught. What was the average force exerted by the ball on the glove?
find Magnitude
To find the average force exerted by the ball on the glove, we can use the equation:
Force = (change in momentum) / (change in time)
To calculate the change in momentum of the ball, we need to find the initial and final momentum of the ball. We can use the formula:
Momentum = mass × velocity
Given:
Mass of the ball (m) = 145 g = 0.145 kg
Initial velocity of the ball (u) = 45 m/s
Final velocity of the ball (v) = 0 m/s (since it came to a stop after being caught)
First, let's find the initial momentum:
Initial momentum (p_i) = m × u
p_i = 0.145 kg × 45 m/s
Next, let's find the final momentum:
Final momentum (p_f) = m × v
p_f = 0.145 kg × 0 m/s
The change in momentum (Δp) can be calculated by subtracting the final momentum from the initial momentum:
Δp = p_f - p_i
Now, let's calculate the magnitude of the average force exerted by the ball on the glove:
Force = Δp / (change in time)
However, we are not given the change in time in this problem. Without the time, we cannot accurately calculate the average force exerted by the ball on the glove.