Carl hits a 0.05 kg golf ball giving it a speed of 65 m/s. What impulse does he impact to the ball?
Impulse = M*V
To find the impulse imparted to the golf ball by Carl, we can use the formula: impulse = change in momentum.
Impulse (J) is given by the equation J = m * Δv, where m is the mass of the object and Δv is the change in velocity.
Given:
Mass of the golf ball (m) = 0.05 kg
Change in velocity (Δv) = 65 m/s
Substituting the values into the equation, we have:
J = 0.05 kg * 65 m/s = 3.25 N⋅s
Therefore, Carl imparts an impulse of 3.25 N⋅s to the golf ball.
To find the impulse, we can use the formula:
Impulse = Change in momentum
The momentum of an object is given by the formula:
Momentum = Mass x Velocity
Given that the mass of the golf ball is 0.05 kg and the speed is 65 m/s, we can calculate the initial momentum of the golf ball before Carl hits it.
Initial Momentum = Mass x Velocity
Initial Momentum = 0.05 kg x 65 m/s
Now, since we know the initial momentum, we need to calculate the final momentum of the golf ball after Carl hits it.
Final Momentum = 0
This is because the golf ball comes to rest after Carl hits it, so the final momentum is zero.
Now, to find the change in momentum, we subtract the final momentum from the initial momentum.
Change in Momentum = Final Momentum - Initial Momentum
Change in Momentum = 0 - (0.05 kg x 65 m/s)
Finally, we can calculate the impulse by using the formula:
Impulse = Change in Momentum
Substituting the values, we get:
Impulse = 0 - (0.05 kg x 65 m/s)
I hope this explanation helps you understand how to calculate the impulse.