Question

A 6.4-kg toboggan is kicked on a frozen pond, such that it acquires a speed of 1.8 m/s to the right. The coefficient of friction between the pond and the toboggan is 0.17. Determine the distance that the toboggan slides before coming to rest. Answer: __________ m (round to the nearest hundredth)

Answer 1

The distance that the toboggan slides before coming to a rest is given by:

`d=(v_0^2)/(2a)`

And the acceleration of the toboggan is given by:

`a=\mu g`

Then:

`d=(v_0^2)/(2\mu g)=((1.8(m)/(s))^2)/(2(0.17)(9.8(m)/(s^2)))=0.9724...m\approx0.97m`

Therefore, the distance that the toboggan slides before coming to a rest is approximately 0.97m.