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The skier has a mass of 103 kg and does 3,675 J of work in moving up the hill. If the skier's speed is 3.4 m/s at the top of the hill, how high is the hill?

Answer :

The skier, who has a mass of 103 kg and does 3,675 J of work in moving uphill and whose speed is 3.4 m/s at the top, ascended to a height of approximately 31.77 meters.

In physics , we use the principle of conservation of energy. This principle states that the total energy of an isolated system remains constant.

Here, the skier's energy consists of potential energy

(PE = m*g*h, where m is mass, g is acceleration due to gravity and h is height) and kinetic energy

(KE = 0.5*m*v2).

First, we know that the total energy is supplied by the work done, which is 3,675 J.

Also, we know the

mass (m = 103 kg),

gravity (g = 9.8 m/s2), and

speed (v = 3.4 m/s).

The kinetic energy (KE) would be 0.5 * 103 kg * (3.4 m/s)2 = 595.46 J. This value is subtracted from the work done to get the potential energy.

The potential energy is then used to find the height:

PE = m*g*h, rearranges for height as

h = PE / (m*g).

So, h = (3675 J - 595.46 J) / (103 kg * 9.8 m/s2)

= 31.77 m.

The skier moved uphill to a height of approximately 31.77 meters.

To know more about speed visit:

brainly.com/question/6280317

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