1. PE = mgh. For part c) h is 1.6 - 1.6cos30 (draw the triangle and you'll see).
2. 1/2 k x^2 = mgh, solve for h
3. mgh = 1/2 m v^2, solve for v (note the mass isn't really needed)
4. For part a) use trig to find the height (6sin30)
1. A 15 kg child sits in a swing that is attached in ropes 1.6 m long . Find the potential energy of the child relative to his lower position when the ropes (a) are horizontal (b) vertical and (c) make 30° with the horizontal.
2. A brick of mass 1.50 kg is placed on top of a spring with a force constant of 1,250 N/m that is compressed 0.25 m when the spring is released, How high will the brick go?
3. A 75 kg skier slides down a 75.0 m high slope without friction. The velocity of the skier at the bottom of the slope is?
4-5. A 1.50 kg object slides from rest from top a plane 6.0 m long inclined 30° with the horizontal. It reached the bottom with a speed of 5.2 m/s. Find (a) its potential energy at the start of the motion (b) its kinetic energy at the bottom of the incline.
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1 answer
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