The relationship between the Period (T) caused by the oscillation of the mass on the end of a hanging spring and the mass (m) is:

T= 2p√m/k

Explanation:

This is because the period of oscillation of the mass of spring system is directly proportional to the square root of the mass and it is inversely proportional to the square root of the spring constant.

The period of a mass on a spring is given by the equation

T=2π√m/k.

Where T is the period,

M is mass

K is spring constant.

An increase in mass in a spring increases the period of oscillation and decrease in mass decrease period of oscillation.

0.19 m/s and 0.45 m/s

b. lifting dumbbell weight at 20-degree angle from the body after a 45-degree angle