When an automobile moves with constant speed down a highway, most of the power developed by the engine is used to compensate for the mechanical energy loss due to frictional forces exerted on the car by the air and the road. If the power developed by the engine is 193 hp, estimate the total friction force acting on the car when it is moving at a speed of 27 m/s. One horsepower equals 746 W.

A mechanic pushes a 3850 kg car from rest to a speed of v, doing 5083 J of work in the process. Find the speed v. Neglect friction between car and road. Answer in units of m/s.

A Ford F-150 pickup truck has a mass of 1950 kg.   One truck is equipped with an Ecoboost 2.7 liter V6 engine that produces a useful power output of 242 kW.        (a)  How long in seconds does it take the truck to start from rest and reach a speed of 12.5 m/s, assuming no friction effects and it is traveling on a level road?       (b)  How long will it take to reach the speed of 12.5 m/s from rest, if the truck also climbs a hill that has a height of 2.75 m?

A motorist driving a 1332-kg car on level ground accelerates from 20.0 m/s to 30.0 m/s in a time of 5.00 s. Ignoring friction and air resistance, determine the average mechanical power in watts the engine must supply during this time interval.

What average mechanical power (in W) must a 61.5 kg mountain climber generate to climb to the summit of a hill of height 405 m in 46.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body.

A cart loaded with bricks has a total massof 20.5 kg and is pulled at constant speed bya rope. The rope is inclined at 20.7◦ degrees above the horizontal and the cart moves25.2 m on a horizontal floor. The coefficientof kinetic friction between ground and cart is0.274.The acceleration of gravity is 9.8 m/s2.How much work is done on the cart by the rope?Answer in units of kJ.

The cheetah is one of the fastest-accelerating animals, because it can go from rest to 32.3 m/s 5.37 s. If its mass is 116 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. Express your answer in (a) watts(b) horsepower.