A 350 kg motorcycle travels at a speed of 12 m/s. Find the speed that a 60 kg downhill skier should reach in order to produce the same amount of kinetic energy as the motorbike.

The engine of a passenger vehicle generates a maximum power of 200 hp. At one instance, it is loaded to a total mass of 4500 kg. Engine and transmission losses dissipate 25% of the power generated by the engine, while 75% is successfully transferred to the drive wheels. Using a mass distribution where the drive wheels bear 60% of the loaded vehicle mass, determine the time the vehicle takes to attain maximum power output. Assume the vehicle accelerates at a_max on a surface with a static friction coefficient, μₛ = 1.12.

A spacecraft of mass m_sp orbits the Earth in a circular path with a radius r_sp. Obtain an expression for the kinetic energy K_sp of the spacecraft.

A student wishes to move a 15.0 kg wooden desk at a constant speed on a 10 m horizontal concrete surface by applying a force parallel to the surface. If the coefficient of kinetic friction between the wood and concrete is 0.3, the work done by friction on the desk will be:

A box is pulled across a bench. Four forces are applied to the box. The box moves a distance 0.8 m as shown. Determine the work done by each force.

A block is moving along the x-axis. F(x) = Bx^1/2 gives the force acting on the block. Given that B = 12.0 N/m^1/2, How much work does the force do in moving the block from x = 0.0 to x = 5.0 m?

In the illustration below, a worker utilizes a hand cart to lift heavy crates. If the friction and the mass of the cart are neglected, and it is assumed that the work output equals the work input, determine the ratio of the output force (F_o) to the input force (F_i ) concerning the distances L_i and L_o from the center of the cart's wheels.

A boy is riding his bicycle moving north at 6.0 m/s. There is wind flowing in the direction 30 degrees west of south exerting a force of 4.5 N. Consider there is no rolling friction but static friction which will save the boy from skidding sideways. Calculate the minimum value of the static friction coefficient that will help move towards the north. Consider the combined mass of the boy and his bicycle is 35 kg.

The force applied to an object moving in the horizontal direction varies with the position, as shown in the figure below. Calculate the work done on the object i) between 0 cm and 2.5 cm, ii) between 2.5 cm and 10 cm, and iii) between 10 cm and 15 cm.