# Work and GPE Problem

1. Oct 14, 2007

### shell4987

1. The problem statement, all variables and given/known data
In Fig. 8-33, a small block of mass m = 0.040 kg can slide along the frictionless loop-the-loop, with loop radius R = 14 cm. The block is released from rest at point P, at height h = 9R above the bottom of the loop. How much work does the gravitational force do on the block as the block travels from point P to (a) point Q and (b) the top of the loop? If the gravitational potential energy of the block-Earth system is taken to be zero at the bottom of the loop, what is that potential energy when the block is (c) at point P, (d) at point Q, and (e) at the top of the loop?
**image attached**

2. Relevant equations
w=mgh

3. The attempt at a solution
I've completed parts (a) through (c) and got those correct, however I cannot get a correct answer for (d) and (e), I used W=mgR and plugged in 0.040(9.8)(0.14)= 0.05488 mJ for (d) and then I used W=mg2R for (e) with plugging in 0.040(9.8)(2)(0.14)= 0.10976mJ... I need to convert these into joules and I did so and still got the wrong answer, I just want to know if I'm doing something wrong with the physics part of the problems?

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• ###### Fig08_33.gif
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2. Oct 14, 2007

### Staff: Mentor

The only thing wrong is your thinking that the units are mJ and need to be converted to Joules. U = mgy will give you the potential energy in Joules when you use standard units of kg and m, as is the case here.