1. Calculate the moment of inertia for a solid sphere with radius 0.021 m and mass 0.72 kg. Express your answer in SI units 2. Calculate the moment of inertia for a hollow sphere with radius 0.020 m and mass 0.45 kg. Express your answer in SI units (but don't write the units into the box). You have a cylinder. You don't know what its internal structure looks like, but you plan to roll it down a ramp, as in this week's procedure. The ramp is 1 m long, and is elevated at an angle of 15. The mass of the cylinder is 450 g and its diameter is 2.1 cm. Answer the following questions regarding this situation. 3. You set the cylinder and hold it at rest at the top of the ramp. How much total energy (in J) does the block have at the top of the ramp? 4. After you release the cylinder, it rolls down the ramp without slipping, gaining speed. How much total energy (in J) does the block have at the bottom of the ramp? 5. [Caution Tricky] If the velocity of the cylinder is 1.75 m/s at the bottom of the ramp, what is the value of k (I = kMRZ) for this unusual cylinder (in SI units)? Express your answer as a decimal (i.e. 1/4=0.25)