Question

In: Physics

A 60.0 kgkg skier on level snow coasts 183 mm to a stop from a speed...

A 60.0 kgkg skier on level snow coasts 183 mm to a stop from a speed of 1.70 m/sm/s .

a)Use the work-energy principle to find the coefficient of kinetic friction between the skis and the snow.

b)Suppose a 72.0 kgkg skier with twice the starting speed coasted the same distance before stopping. Find the coefficient of kinetic friction between that skier's skis and the snow.

Expert Solution

Given,

The mass, m = 60 kg

The initial speed, v_i = 1.70 m/s

The distance, d = 183 m

The final speed, v _f = 0

By using work energy theorem,

W = 1/2 * m (v²_f - v²_i)

- f d = (0.5) m(v_f² - v_i²)

We know, f = mg

- mg d = (0.5) m(v_f² - v_i²)

- * g d = (0.5) * (v_f² - v_i²)

- * 9.8 * 183 = 0.5 * (0 - 1.70 ²)

= 1.445 / 1793.4

= 0.00081

b)

The mass, m = 72 kg

The speed, v_i = 2 * 1.70 = 3.4 m/s

- mg d = (0.5) m(v_f² - v_i²)

- * g d = (0.5) * (v_f² - v_i²)

- * 9.8 * 183 = 0.5 * ( 0 - 3.4²)

= 0.0032

genius_generous answered 1 year ago

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