Question

Two bodies of masses 1 kg and 5 kg are dropped gently from the top of a tower. At a point 20 cm from the ground, both the bodies will have the same
(a) Momentum
(b) Kinetic energy
(c) Velocity
(d) Total energy

Answer 1

$\huge{\bold{\underline{\underline{....Answer....}}}}$

$\huge{\bold{\underline{Given:-}}}$

${m_1 = 1kg }$

${m_2 = 5 kg}$

$\huge{\bold{\underline{Explanation:-}}}$

Let's verify each option.

a)Momentum

For first body the momentum will be

$\large{P_1 = m_1 \times v}$

P = mv.

and,

For Second body the momentum will be

$\large{P_2 = m_2 \times v}$

P = 5mv

Here the second body has more momentum

So,it is not same.

b)Kinetic energy

As the masses are diffrent both the bodies will not have same kinetic energy.

The second bogy will have greater Kinetic energy than first body.

c)Velocity

The velocity does not depend on masses so both the bodies will have same velocities at same time intervals.

As the acceleration due to gravity will be same.

and, Distance I.e. height travelled will be same.

d)Total energy.

As the masses are diffrent therefore the total energy will not be equal.

The second body will have more total energy than the 1 st body .