The Taipei 101 in Taiwan is a 1667-foot tall, 101-story skyscraper. The skyscraper is the home of the world’s fastest elevator. 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 10 passengers at this speed. The combined mass of the passengers and cabin is 1250 kg.

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 195 hp, estimate the total friction force acting on the car when it is moving at a speed of 30 m/s. One horsepower equals 746 W.

Multiple-Concept Example 13 presents useful background for this problem. The cheetah is one of the fastest accelerating animals, for it can go from rest to 31.8 m/s in 3.38 s. If its mass is 119 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. Express your answer in (a) watts and (b) horsepower. (a) Number i (b) Number Units Units

A motorcyclist drives up a 3.1-meter tall ramp and leaves the ramp with a speed of 42.5 m/s.  If his speed is 37.8 m/s when he reaches the peak of his path, what is the maximum height (in m) above ground that he reaches? (Use energy, not kinematic equations.)

The ski slopes at one of the parks in Killington, VT make use of tow ropes to transport skiers to the summit of the hill. One of the tow ropes is powered by a 11-kW motor which pulls skiers along an icy incline (negligible friction) of 14° at a constant speed. Suppose that 18 skiers with an average mass of 48 kg hold onto the rope and suppose that the motor operates at full power. (Hint: A 11 kilowatt motor at full power does 11000 J of work per second.) Determine the force required to pull this amount of weight up the incline at a constant speed. a) 8215 N b) 2048 N                                 c) 8467 N

In 2.79 minutes, a ski lift raises four skiers at constant speed to a height of 131 m. The average mass of each skier is 70.7 kg. What is the average power provided by the tension in the cable pulling the lift? Number Units

A roller coaster car has a mass of 2,895 kg when loaded with people. The car is rolling down a steep hill. When the car is 12.5 m above the ground its velocity is 3.11 m/s. Assuming we can ignore friction, use energy principles to determine the initial gravitational potential energy (EGi).

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.

A toy robot powered by an electric motor accelerates from rest to 0.740 m/s in 20.0 ms. The total mass of the robot is 825 g. What is the average power (in W) delivered to the robot by the motor during its acceleration?