Question

a bomb of mass 20kg at rest explodes in air into 2 pieces of masses 4kg and 16kg. the velocity of the 16 kg mass is 4m/sec then the kinetic energy of other mass is?​

Answer 1

You will take your answer


Now, you are happy ok

Answer 2

Answer:

The kinetic energy of other mass is 512 J.

Explanation:

Given that,

Mass of bomb = 20 kg

Mass of one piece = 4 kg

Mass of second piece = 16 kg

Velocity of second piece = 4 m/s

We need to calculate the velocity of other mass

Using equation of conservation momentum

$P_{i}=P_{f}$

$0=m_{1}v_{1}-m_{2}v_{2}$

$v_{1}=\dfrac{m_{2}v_{2}}{m_{1}}$

Put the value into the formula

$v_{1}=\dfrac{16\times4}{4}$

$v_{1}=16\ m/s$

We need to calculate the kinetic energy of other mass

Using formula of kinetic energy

$K.E=\dfrac{1}{2}m_{1}v_{1}^2$

Put the value into the formula

$K.E=\dfrac{1}{2}\times4\times16^2$

$K.E=512\ J$

Hence, The kinetic energy of other mass is 512 J.