Two blocks, A and B (with mass 50.0 kg and 1.00 × 10² kg, respectively), are connected by a string, as shown in Figure P5.86. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is µz = 0.250. Determine the change in the kinetic energy of block A as it moves from © to ©, a distance of 20.0 m up the incline (and block B drops downward a distance of 20.0 m) if the system starts from rest. B 1.00 x 102 kg 50.0 kg 37.0° Figure P5.86

A 2.0kg block starts with a speed of 10. m/s at the bottom of a plane inclined at 35° to the horizontal. The coefficient of sliding friction between the block and the plane is 0.30. use the work-energy theorem to determine how far the block slides along the plane before momentarily coming to rest. I know the answer is 6.2, I just don’t know how to get to it.

The figure below shows an overhead view of three horizontal forces acting on a cargo canister that was initially stationary but that now moves across a frictionless floor. The force magnitudes are F1 = 3.10 N, F2 = 4.10 N, and F3 = 20.0 N, and the indicated angles are 02 = 50.0° and 03 = 34.0°. What is the net work done on the canister by the three forces during the first 4.00 m of displacement? Additional Materials

Suppose the ski patrol raises a rescue sled and victim, having a total mass of 85.0 kg, up a ? = 62.0° slope at constant speed, as shown in the figure. DO NOT USE THE ANGLE SHOWN IN THE FIGURE! USE THE ANGLE IN THE PROBLEM STATEMENT ABOVE. The coefficient of friction between the sled and the snow is 0.130.   Calculate the normal force on the sled (in N).   Calculate the work done (in J) by the force of friction as the sled moves 30.0 m up the hill. (Hint: Think about the direction of the friction force. Should it be different than the direction shown in the figure?).   Calculate the work done (in J) by the tension force in the rope on the sled over this distance. Calculate the work done (in J) done by the force of gravity on the sled over this distance.

Suppose you are biking at a constant speed up a road inclined at 5° above the horizontal. You need to bike up this hill for 200 m in 2 minutes or less. There is an average drag force of 25 N as well. Calculate the minimum amount of power in hp your body must provide in order to make it up this hill in time. Assume 80 kg total mass of yourself and bike and 25% energy efficiency in your body. Define a system and draw energy state diagrams as part of your solution. Draw any necessary FBDs for forces. B

Suppose the ski patrol lowers a rescue sled carrying an injured skiier, with a combined mass of 77.5 kg, down a 60.0° slope at constant speed, as shown in the Figure. The coefficient of kinetic friction between the sled and the snow is 0.100. b)How much work, in joules, is done by the rope on the sled over this distance?

A 69.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.9 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. What is the gravitational potential energy associated with the athlete? Write a general equation for energy conservation in this case and solve for the maximum height. Substitute and obtain a numerical answer. Write the general equation for energy conservation and solve for the velocity at half the maximum height. Substitute and obtain a numerical answer