You are sitting on a skateboard on the top of a hill. The hill has a...
You are sitting on a skateboard on the top of a hill. The hill has a 20% grade to it. The coefficient of rolling friction for you is μr “ 0.2. You have a mass of m “ 80kg. (a) What is the work done by gravity as when you roll a distance of 50m down the hill (that is along the hypotenuse of the hill, not elevation)? (b) What is the work done by rolling friction as when you roll a distance of 50m down the hill (that is along the hypotenuse of the hill, not elevation)? (c) What is the work done by normal force as when you roll a distance of 50m down the hill (that is along the hypotenuse of the hill, not elevation)?
Homework Answers
Here, 20 % grade means the angle of incline is
= arctan (
0.2)
= 11.3099
degree
-----------------------
(a) work done by gravity
W = force * distance * cos
W = mgcos ( 90 + 11.309) * 50
W = 80 * 9.8 * 50 * cos 101.3099
W = - 7687.75 J
------------------------------------
(b) work done by rolling friction
W = 80 * 9.8 * 50 * cos 180
W = - 39200 J
-------------------------------------
(c) work done by normal force
W = 80 * 9.8 * 50 * cos 90
W = 0 J
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