Calculate the magnitude of the force if a ball of mass 249.9 grams, and initial velocity +16.5 m/s is struck back on the same path with a final velocity of -22.0 m/s. Assume the contact time is 3.1 milliseconds. Use 2 s.f.
To calculate the magnitude of the force, we can use the impulse-momentum principle. The impulse experienced by an object is equal to the change in momentum it undergoes.
The momentum formula is given by P = m * v, where P is the momentum, m is the mass, and v is the velocity. Therefore, the initial momentum of the ball can be calculated as follows:
Initial momentum (P_initial) = mass * initial velocity
P_initial = 0.2499 kg * 16.5 m/s
Next, we need to calculate the final momentum (P_final) of the ball, which can be found using the same formula:
Final momentum (P_final) = mass * final velocity
P_final = 0.2499 kg * -22.0 m/s
The change in momentum (∆P) is then equal to the final momentum minus the initial momentum:
∆P = P_final - P_initial
Using these values, we can now calculate the change in momentum.