1. From the previous problem, find an equation for the speed of the ball at the determined location, assuming the ball starts rolling from rest
2. In the previous problem, the coefficient of kinetic friction is μk, between block and surface. How much is the spring compressed?
3. In the previous problem, 10% of the kinetic energy is lost during the collision between block and spring. How much is the spring compressed?
4. Two people are at the gym having a debate about how much energy is required to bench press a certain weight for one repetition. One person says that the energy required depends on how fast the weight is lifted. The other person says that it doesn't matter. Using an energy analysis determine which person is correct.
5. A solid ball has a mass of 50 grams and a volume of 20 cm3. What is the density?
6. In the previous problem use θ = 15°. What is the maximum force pushing down the incline so that the block doesn't slip? What is the maximum force pushing up the incline so that the block doesn't slip?