An object will stay in motion unless acted upon by an UNBALANCED force.
Explanation:
Michael should put the vase at the bottom of the shelf to reduce the potential energy because the height of the vase to the floor is nearly zero.
Answer:
Part a)

Part b)

Explanation:
Part a)
Moment of inertia of the core of the ball



now the moment of inertia for thin shell



now total inertia of the ball is given as


Part b)
Moment of inertia of uniform ball of mass 3.2 kg



Answer:
h = 5.05 m
Explanation:
given,
mass of pole vaulter, m = 64 Kg
speed of the vaulter,V = 10.2 m/s
horizontal component of velocity in air, v = 1 m/s
height of the jump,h = ?
using energy conservation


initial height of the vaulter is equal to zero.



h = 5.05 m
height of the jump is equal to 5.05 m.