To practice Problem-Solving Strategy 7.1 Work and kinetic energy. (Figure 1) Mar

Question

To practice Problem-Solving Strategy 7.1 Work and kinetic energy. (Figure 1) Marjan, a skier of mass m, coasts a distance s on level snow to a stop from a speed of v, as depicted in the figure. Use the work-energy principle to find the coefficient of kinetic friction k between the skis and the snow.

Use the relationship Wtotal=KfinalKinitial=K to find the coefficient of kinetic friction between the skis and the snow.

Enter an expression for the coefficient of kinetic friction in terms of some or all of the variables given in the problem.

Explanation / Answer

Here ,

frictional force , f = uk * N

f = uk * m * g

Now, using work enregy theorum

change in kinetic energy = work done

Kfinal - Kinitial = Frictional force * d

0 - 0.5 * m * v^2 = - uk * m * g * d

uk = 0.5 * v^2/(g * d)

the coefficient of kinetic friction is 0.5 * v^2/(g * d)

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