1. A uniform solid sphere rolls downs a ramp 3 m high. What is
its centre-of-mass speed when it is at a height of 1 m above the
ground?

a) 5.3 m/s

b) 6.2 m/s

c) 7.3 m/s

d) 9.4 m/s

2. A large lathe machine is rotating a 30 cm long, thin, solid,
cylindrical rod of mass 10 kg at a rate of 30 rad/s. Suddenly the
lathe`s grip on the rod breaks loose, setting the rod free. What is
the angular momentum of the rod at that instant in time?

a) 1.12 kg m²/s

b) 2.25 kg m²/s

c) 3.37 kg m²/s

d) 4.49 kg m²/s