A block of mass m slides along a frictionless track starting from rest at point A. The initial height is h and the radius of the loop is R. The block is not attached to the track.
1. Find the formula for the speed of the block at point B.
2. Find a formula for the speed of the block at point C.
3. If the mass of the block is 20 g, the initial height is 50 cm, the radius of the loop is 10 cm, how fast will the block be going at point C?
4. Draw a free body diagram of the block at point C. Calculate the normal force on the block at point C. Use the numerical values given in question 3.
5. What is the condition on forces for the block to fall at point C? Would the block fall? Use the numerical values given in question 3.
Solution: