A golf ball with a mass of 0.080kg initially at rest is given a speed of 50 m.s-1 when it is struck by a golf club. A) If the club and ball are in contact for 1.5 millisecond (0.0015 seconds), What average force acts on the ball? B) What impulse was delivered? c) What was the change in momentum of the ball?
a = (V-Vo)/t. V = 50 m/s, Vo = 0, a = ?.
A. F = M*a.
B. Impulse = M*t.
C. Momentum ch. = M*V-M*Vo.
C.
Correction: B. Impulse = F*t.
To find the average force, impulse, and change in momentum, we can use Newton's second law of motion, which states that force (F) is equal to the rate of change of momentum (ΔP) with respect to time (Δt).
A) To find the average force acting on the golf ball, we divide the change in momentum by the time interval:
Average force (F) = ΔP / Δt
To calculate the change in momentum, we first need to determine the initial and final momenta of the ball.
The initial momentum (P_initial) of the ball is given by the product of its mass (m) and initial velocity (v_initial):
P_initial = m * v_initial
P_initial = 0.080 kg * 0 m/s (since the ball was initially at rest)
The final momentum (P_final) of the ball is given by the product of its mass (m) and final velocity (v_final):
P_final = m * v_final
In this case, the final velocity is given as 50 m/s, but we'll have to calculate it using the time and average force of impact.
The average force acting on the ball is defined as the impulse divided by the time of contact:
F = Impulse / Δt
Impulse (I) is calculated as the change in momentum of the ball:
I = ΔP = P_final - P_initial
The change in momentum (ΔP) of the ball is given by the difference between the final and initial momenta:
ΔP = P_final - P_initial
B) To find the impulse delivered, we'll calculate the change in momentum:
I = ΔP = P_final - P_initial
C) To find the change in momentum, we need to calculate the final momentum as mentioned above:
ΔP = P_final - P_initial
To summarize:
A) Average force (F) = ΔP / Δt
B) Impulse (I) = ΔP = P_final - P_initial
C) Change in momentum (ΔP) = P_final - P_initial
Now that we have the required formulas, we can plug in the given values and perform the calculations.