Question

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 22−kW motor which pulls skiers along an icy incline of 22∘ at a constant speed. Suppose that 14 skiers with an average mass of 62.0 kg hold onto the rope and suppose that the motor operates at full power. Determine the cumulative weight of all these skiers.

Answer 1

The cumulative weight of the 14 skiers with an average mass of 62.0 kg each is 8506.4 N.

Step-by-step explanation:

To determine the cumulative weight of the 14 skiers on the Bluebird Mountain ski slope, you simply need to use the formula for weight, which is the product of mass and the acceleration due to gravity (W = m * g). The acceleration due to gravity (g) is approximately 9.8 m/s2. Given that each skier has an average mass of 62.0 kg and there are 14 skiers, the cumulative mass would be 62.0 kg * 14 = 868.0 kg. Thus, the cumulative weight (W) is calculated as 868.0 kg * 9.8 m/s2 = 8506.4 N (newtons).