A 32kg girl sitting at rest on a 2.4m long swing catches an 8.0kg medicine ball moving at 4.0m/s. Calculate the speed of the girl and the ball just after she catches the ball. Calculate how high the girl and the ball rise.

number 5 please

A 50kg child is riding their 3kg skateboard down the street at 5m/s. The child jumps off the front of the skateboard at 6m/s, sending the skateboard flying in the opposite direction. At what speed does the skateboard fly backward?

Yolanda is at the firing range practicing how to shoot a gun. A 12 g bullet is fired from her gun and moves vertically upwards at a velocity of 950m/s and strikes a 2kg brick which is originally at rest, as shown in the picture below. If the bullet emerges from the brick at a speed of 290m/s, help Yolanda figure out; 1. What is the The max height to which the brick rises ? 2. What is The increase in the internal energy of the bullet-brick system? 290 m/s 950 m/s

1. A 32.00kg child runs with a speed of 6.00m and jumps onto a 20.00kg sled initially at rest on a flat bed of snow (no friction). What is the resultant speed of the child and sled after the child is atop the sled? S m S 2. The child-sled combo travel at velocity 12.00 and collide with a large snow bank, coming to rest after a 0.37s collision. What is the magnitude of the average force exerted on the child-sled combo by the snow bank during the collision? O 1037.84 N 518.59 N 1686.49 N 648.65 N m S

A 61.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 9.7 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. (a) What are the.interacting.objects and how.do.they.interact? This answer has not been graded yet (b) Select the height at which the athlete's speed is 9.7 m/s as y = 0. What is her kinetic energy at this point? What is the gravitational potential energy associated with the athlete? (c) What is her kinetic energy at maximum height? What is the gravitational potential energy associated with the athlete? (d) Write a general equation for energy conservation in this case and solve for the maximum height. Substitute and obtain a numerical answer. m (e) Write the general equation for energy conservation and solve for the velocity at half the maximum height. Substitute and obtain a numerical answer. m/s