Question

In: Physics

Sam, whose mass is 66 kg, straps on his skis and starts down a 61 m...

Sam, whose mass is 66 kg, straps on his skis and starts down a 61 m -high, 20∘ frictionless slope. A strong headwind exerts a horizontal force of 200 N on him as he skies.

Use work and energy to find Sam's speed at the bottom.

Express your answer to two significant figures and include the appropriate units.

Solutions

Expert Solution

Let the speed of Sam at the bottom is v.

Given that

The mass of Sam is m=66 kg.

The Height h=61 m.

The force exerted by the headwind is F=200 N.

The slope =20o.

Let the weight of Sam along with the incline is W.

Let the force exerted by the wind along with the incline is FH.

Let the work done by the gravitational force and the wind is Ep.

Let the distance of the incline is d.

From the energy concept, we can say

Now let the kinetic energy at the bottom is Ek.

From the conservation of energy, we can say

The speed of Sam at the bottom is 13 m/s.

genius_generous answered 1 year ago

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