A small block of super dense material has a mass of 3 × 10 24 kg. It is situated at a height h (much smaller than the earth’s radius) from where it falls on the earth’s surface. Find its speed when its height from the earth’s surface has reduced to h/2. The mass of the earth is 6 × 10 24 kg.

Question

Philoid · Accepted Answer

Given h<<

Mass of earth m_e=6 × 10²⁴ kg,

A small block of super dense material has a mass m_b =3 × 10²⁴ kg,

Let v_e be the velocity of earth and v_b is the velocity of the block.

The two blocks are attached by gravitational force of attraction. The gravitation potential energy stored will be the kinetic energy of two blocks.

_____ (1)

Again as an internal force acts

_______ (2)

Putting the value in equation (1)

As h<<

Since,

A small block of super dense material has a mass of 3 × 1024 kg. It is situated at a height h (much smaller than the earth’s radius) from where it falls on the earth’s surface. Find its speed when its height from the earth’s surface has reduced to h/2. The mass of the earth is 6 × 1024 kg.