Suppose that the coefficient of kinetic friction between Zak\'s feet and the flo

Question

Suppose that the coefficient of kinetic friction between Zak's feet and the floor, while wearing socks, is 0.250. Knowing this, Zak decides to get a running start and then slide across the floor. Now, suppose that Zak's younger cousin, Greta, sees him sliding and takes off her shoes so that she can slide as well (assume her socks have the same coefficient of kinetic friction as Zak's). Instead of getting a running start, she asks Zak to give her a push. So, Zak pushes her with a force of 125 m N over a distance of 1.00 m m. If her mass is 20.0 m kg, what distance d_2 does she slide after Zak's push ends?

Explanation / Answer

From the conservation of energy

W = Wk

Fd = uk mgd

125N * 1 m = 0.250 * 20 kg * 9.8 m/s^2 * d1

d1 = 2.55 m

The new distance is

d2= 2.55 m - 1 m = 1.55 m

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