A soccer player takes a corner kick, lofting a stationary ball 34.0° above the horizon at 19.0 m/s. If the soccer ball has a mass of 0.425 kg and the player's foot is in contact with it for 4.90 x 102s, find the x- and y-components of the soccer ball's change in momentum and the magnitude of the average force exerted by the player's foot on the ball. HINT (a) the x- and y-components of the soccer ball's change in momentum (in kg - m/s) Ap, = kg - m/s Ap kg - m/s (b) the magnitude of the average force exerted by the player's foot on the ball (in N)

A 46.0-kg skater is traveling due east at a speed of 2.60 m/s. A 66.0-kg skater is moving due south at a speed of 6.10 m/s. They collide and hold on to each other after the collision, managing to move off at an angle  south of east, with a speed of vf. Find (a) the angle θ and (b) the speed vf, assuming that friction can be ignored.

A BB gun is fired at a cardboard box of mass m2 = 0.75 kg on a frictionless surface. The BB has a mass of m1 = 0.0165 kg and travels at a velocity of v1 = 91 m/s. It is observed that the box is moving at a velocity of v2 = 0.17 m/s after the BB passes through it.       (a)  Write an expression for the magnitude of the BB's velocity as it exits the box vf. vf = v1 - m2/m1 v2     ✔ Correct!   (b) What is the BB's final velocity vf, in meters per second? vf =  |      (c)  If the BB doesn't exit the box, what will the velocity of the box v'2, be in meters per second?   ***Please explain how to derive the equation (the answer to part a).

The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore oil rig. As she fires a gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.017 kg and its velocity is +662 m/s. Her mass (including the gun) is 52 kg. (a) What recoil velocity does she acquire in response to a single shot from a stationary position, assuming that no external force keeps her in place? (b) Under the same assumption, what would be her recoil velocity if, instead, she shoots a blank cartridge that ejects a mass of 5.0 x 10-4 kg at a velocity of +662 m/s? (a) (b) < < i