A golf ball of mass m = 0.11 kg is dropped from a height h. It interacts with the floor for t = 0.185 s, and applies a force of F = 10.5 N to the floor when it elastically %3D collides with it. Part (a) Write an expression for the ball's velocity, v, in terms of the variables m, t, and F, just after it rebounds from the floor. (Hint: The fact that the collision is elastic is important when solving this problem.) Part (b) What is the magnitude of the ball's velocity v, in meters per second, right after it rebounds? Part (c) How high h, in meters, will the ball travel on the rebound?

A man in a rowboat on a lake. The man's mass is 67 kg, and the rowboat's is 117 kg. The man and rowboat are initially at rest when the man throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 4.0 m/s. What is the velocity of the rowboat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)   magnitude m/s direction      - toward the right - toward the left - downwards -upwards

You throw up a basketball vertically into the air, and your friend shoots an arrow horizontally with speed vi at top of the basketball's trajectory where it momentarily comes to rest. The arrow passes through center-of-mass of the ball. Assuming the collision takes place over a short time ∆t, what is the average force of the arrow on the ball during the collision, expressed in terms of m (mass arrow), M (mass ball), ∆t, and vi ?

During a circus act, a performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of m1 = 12.5 kg and the horizontal component of its velocity is v = 8.25 m/s when the performer, of mass m2 = 69 kg, catches it.If the performer is on nearly frictionless roller skates, enter an expression for his recoil speed, in terms of the masses and initial speed. What is his recoil speed, in meters per second?

Hello, can you also please include the formula that you used to solve this problem? Thank you!

In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0235 kg and the mass of the pendulum is 0.250 kg, how high ℎ will the pendulum swing if the marble has an initial speed of 5.95 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision.