A 75-kg man climbs the stairs from the ground floor to the fourth floor of a building, a height of 15 m. How far does the Earth recoil in the opposite direction as the man climbs?

An outlaw cuts loose a wagon with two boxes of gold, of total mass 300 kg, when the wagon is at rest 50 m up a 6.0° slope. The outlaw plans to have the wagon roll down the slope and across the level ground, and then fall into a canyon where his accomplices wait. But in a tree 40 m from the canyon’s cliff wait the Lone Ranger (mass 75.0 kg) and Tonto (mass 60.0 kg). They drop vertically into the wagon as it passes beneath them (Fig.). (a) If they require 5.0 s to grab the gold and jump out, will they make it before the wagon goes over the cliff? The wagon rolls with negligible friction. (b) When the two heroes drop into the wagon, is the kinetic energy of the system of heroes plus wagon conserved? If not, does it increase or decrease, and by how much?

A person is crossing a bridge. The bridge is 3.2 meters long and is 25 kg. One side of the bridge rests on the ground while the other side of the bridge is elevated 25 degrees above the ground. The end of the bridge that is elevated is connected to a rope, which is attached to a overhanging section of a cliff. The person walking across is 62 kg, and walks three quarters of the way to the rope end of the bridge then stops. Please determine the magnitude of the force that the ground exerts on the bridge. (use image for reference)

A rocket motor is undergoing a "bench test." It is attached to a fixed support by four large springs of constant 10^6 N/m. The motor burns fuel at a rate of 50 kg/s. When the motor is running the springs are observed to stretch 1.5 cm. Determine the exhaust speed of the burned fuel.

A racquet ball with mass m = 0.248 kg is moving toward the wall at v = 16.5 m/s and at an angle of 0 = 31° with respect to the horizontal. The ball makes a perfectly elastic collision with the solid, frictionless wall and rebounds at the same angle with respect to the horizontal. While the ball is in contact with the wall, the average force the wall exerts on the ball has a magnitude of F = 89 N. 1) What is the magnitude of the initial momentum of the racquet ball? 4.092 kg-m/s Submit 2) What is the magnitude of the change in momentum of the racquet ball? kg-m/s Submit + 3) What is the time the ball is in contact with the wall? S Submit + 4) Now the racquet ball is moving straight toward the wall at a velocity of vj = 16.5 m/s. The ball makes an inelastic collision with the solid wall and leaves the wall in the opposite direction at vf = -10.9 m/s. The ball is in contact with the wall for the same amount of time as in the elastic collision above. What is the magnitude of the change in…

A block with mass M = 6.05 kg is sliding in the positive x-direction at Vi = 8.95 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.30 kg. Determine the velocities, Vf and vf, of the objects after the collision. Vf =  ? m/s vf = ? m/s

What are coordinates of the center of mass for the uniform plate shown in the figure below? (x1 = 18 cm, y1 = 14 cm, and y2 = 4 cm. The figure is not shown to scale.) 10 cm 20 ст 10 cm 10 ст (a) x coordinate |(No Response) cm (b) y coordinate (No Response) cm

An archer fires a 120 g arrow at a velocity of +31.5 m/s toward an apple sitting on a stump. The arrow sticks into the apple and knocks it off the stump at a speed of +16.8 m/s. In kilograms, calculate the mass of the apple. Is this collision elastic or inelastic?