A golf club hits a 0.049 kg golf ball at rest. Afterwards the ball leaves at 63.9 m/s. What impulse was given to the ball
impulse is the change in momentum
the ball starts from rest , so the change is the acquired momentum
To calculate the impulse given to an object, you can use the impulse-momentum principle, which states that the impulse is equal to the change in momentum of the object. The equation for impulse is:
Impulse = Change in Momentum
Momentum is defined as the product of mass and velocity. In this case, the ball is initially at rest, so the initial momentum (p₁) is zero:
p₁ = 0 kg*m/s
The final momentum (p₂) is the product of the mass of the ball (m) and its final velocity (v):
p₂ = m * v
Given that the mass of the ball (m) is 0.049 kg and the final velocity (v) is 63.9 m/s, we can substitute these values into the equation:
p₂ = 0.049 kg * 63.9 m/s
Calculating the final momentum:
p₂ = 3.1151 kg*m/s
Since the initial momentum (p₁) is zero, the change in momentum is equal to the final momentum. Therefore, the impulse (J) given to the ball is also 3.1151 kg*m/s:
Impulse = Change in Momentum = Final Momentum = J = 3.1151 kg*m/s
So, the impulse given to the ball is 3.1151 kg*m/s.