A 1890-kg car accelerates uniformly from rest to a speed of 11.2 m/s in 3.96 seconds. Determine the average power (in hp) delivered by the engine during these 3.96 seconds. (1 hp = 746 W)

A tow rope is being used to tow 16 skiers up a ski hill at a constant speed. The average mass of the skiers is 72.5 kg. The hill is inclined at 8.3 degrees. The power output of the motor is 4.73 kW. With what maximum speed can the skiers be towed? Assume that there is negligible friction.

The Taipei 101 in Taiwan is a 1696-foot tall, 101-story skyscraper. The skyscraper is the home of one of the world’s fastest elevators. The elevators transport visitors from the ground floor to the Observation Deck on the 89th floor at speeds up to 16.8 m/s. Determine the power delivered by the motor to lift the 15 passengers at this speed. The combined mass of the passengers and cabin is 1790 kg.

The ski slopes at Bluebird Mountain make use of tow ropes to transport snowboarders and skiers to the summit of the hill. One of the tow ropes is powered by a 24-kW motor which pulls skiers along an icy incline of 19.6˚ at a constant speed. Suppose that 22 skiers with an average mass of 66.9 kg hold onto the rope and suppose that the motor operates at full power. 

During peak shopping season at Northbrook Court, an escalator elevates 883 passengers a vertical distance of 8.39 meters over the course of 21.2 minutes. If the average mass of the passengers are 56.1 kg, determine the power required by the motor.