Question

The masses of two bodies A and B are in the ratio of 1:2. They are at
heights of 10 m and 5 m respectively from the ground. What is the ratio of

their potential energies?​

Answer 1

Answer:

1 : 2

Explanation:

Mass of body A, m1 = m

Mass of body B, m2  = m

Height h1 = h

Height h2 = 2h

Acceleration due to gravity, g1 = g

Acceleration due to gravity, g2 = g

PotentialEnergy(P .E1) / PotentialEnergy(P .E2)

P .E = mgh

= P .Eah

(∴ 'm' and 'g' are constants)

= P .E1 / P .E2 = h1 / h2

= P .E1 / P .E2 = h / 2h = = P .E1 / P .E2 = 1/2

Therefore, the ratio of potential energy is of the two bodies is 1 : 2.