WE-4 A 3.00kg block is initially sliding to the right on a frictionless surface at 7.00m/s. Force P is directed to the left and is applied to the block continuously starting at the initial position as shown below. The magnitude of P varies as shown in the graph to the right. V=7.00m/s y₁ P P (N) 20 15 10 5 0 0 1 2 3 X 4 (m) a) Find the magnitude of the work done by the force P as the block moves from x-0 to x=4m. b) Find the kinetic energy of the block at x=4m. Neglect air resistance (and the surface is frictionless). c) Find the speed of the block at x-4m.

A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?

rough surfice Smath swace leeeeed 2.50m he 3.00m E; Ei + WNc A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: E, = E; + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then "plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…

vo t = 0 t = 3.5 s vo = (2.5i + 3.5j) m/s i = (-2.51) m/s The velocity of a 3.0-kg object is shown at two times. What was the magnitude of the average force exerted on the object between t= 0 and t = 3.5s? O 1.74 N O 6.26 N O 14.7 N O 3.23 N O 0.845 N

Small ice cubes, each of mass 7.15 g, slide down a frictionless track in a steady stream, as shown in the figure below. Starting from rest, each cube moves down through a net vertical distance of h = 1.50 m and leaves the bottom end of the track at an angle of 40.0° above the horizontal. At the highest point of its subsequent trajectory, the cube strikes a vertical wall and rebounds with half the speed it had upon impact. If 25 cubes strike the wall per second, what average force is exerted upon the wall? N ---direction--- 1.50 m 40.0⁰

At the start of a race, a four-man bobsled team pushes their sled as fast as they can along a 50 m flat starting stretch. The net force that the four men together apply to the 325 kg bobsled is 80.093 N directed at 15 degrees below the horizontal. As they push, 60 N of kinetic friction opposes them. What is the speed of the sled right before the team jumps on the sled?

An object starts from rest at the origins and moves along the x-axis subject to the force shown in the diagram. If the mass of the object is 53kg, determine the speed of the object at the following positions. Each unit along the position axis is 2.0m and each unit along the force axis is 2.0N.

A 18-kg sled is being pulled along the horizontal snow-covered ground by a horizontal force of 24 N. Starting from rest, the sled attains a speed of 1.7 m/s in 9.1 m. Find the coefficient of kinetic friction between the runners of the sled and the snow. Number i Units