An average force of 208 N acts for a time interval of 0.058 s on a golf ball.
(a) What is the magnitude of the impulse acting on the golf ball?
(b) What is the change in the golf ball's momentum?
a.) (208N)(0.058s)=12.064 N.s
b.) same answer as part a = 12.064
impulse= change in momentum
(a) To find the magnitude of the impulse acting on the golf ball, we can use the formula:
Impulse = Force × Time
Given that the force is 208 N and the time interval is 0.058 s, we can substitute these values into the formula:
Impulse = 208 N × 0.058 s
Calculating this expression:
Impulse = 12.064 N·s (rounded to three decimal places)
Therefore, the magnitude of the impulse acting on the golf ball is 12.064 N·s.
(b) The change in momentum of an object is equal to the impulse acting on it. So, the change in the golf ball's momentum is also 12.064 N·s.
To find the magnitude of impulse and the change in momentum, we need to use the formulas:
(a) Impulse (J) = Force (F) x Time interval (Δt)
(b) Change in momentum (Δp) = Final momentum (p₂) - Initial momentum (p₁)
Let's solve each part separately.
(a) To find the magnitude of impulse (J):
We are given the force F = 208 N and the time interval Δt = 0.058 s.
Using the formula J = F x Δt, we can simply calculate the magnitude of the impulse.
J = F x Δt
J = 208 N x 0.058 s
J ≈ 12.064 N·s
Therefore, the magnitude of the impulse acting on the golf ball is approximately 12.064 N·s.
(b) To find the change in momentum (Δp):
We need to know the initial momentum (p₁) and final momentum (p₂) of the golf ball.
Since we are not provided with this information, we cannot directly calculate the change in momentum.
However, we know that impulse (J) and change in momentum (Δp) are related.
According to Newton's second law, impulse is equal to the change in momentum: J = Δp.
Therefore, the magnitude of the change in momentum (Δp) is also approximately 12.064 N·s.
It's important to note that if the initial momentum and final momentum were given, we could directly calculate the change in momentum using the formula mentioned earlier.