Answer:
Explanation:
Given
mass of Point object 
Distance 
Since mass is moving in circular path therefore every time mass is at distance of r from center .
Also Moment of Inertia tells about the distribution of mass over the given region with respect to center of mass.
Therefore 


(d) Acceleration is a vector quantity
Answer:
Explanation:
Suppose when bucket is half full it has a mass of 2 m rotating in a circle of radius r
When Bucket is quarter full then it has a mass of m rotating in a circle of radius r.
When an object moves in a circular path then it experiences an inward force which is given by

where v=velocity of bucket
Force in case 2 is given by

Thus
therefore force required in half bucket is more than force required in quarter bucket full.
Answer:
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Explanation:
Hope you get it right!