SATHEE: Work Energy And Power Question 130

Work Energy And Power Question 130

Question: A body of mass m moving with velocity v makes a head-on collision with another body of mass 2 m which is initially at rest. The loss of kinetic energy of the colliding body (mass m) is [MP PMT 1996]

Options:

A) $\frac{1}{2}$ of its initial kinetic energy

B) $\frac{1}{9}$ of its initial kinetic energy

C) $\frac{8}{9}$ of its initial kinetic energy

D) $\frac{1}{4}$ of its initial kinetic energy

Show Answer

Answer:

Correct Answer: C

Solution:

$\frac{Δ K}{K} = [1 - {(\frac{m_{1} - m_{2}}{m_{1} + m_{2}})}^{2}] = [1 - {(\frac{m - 2 m}{m + 2 m})}^{2}]$

$= \frac{8}{9}$

$Δ K$ = $\frac{8}{9} K$ i.e. loss of kinetic energy of the colliding body is $\frac{8}{9}$ of its initial kinetic energy.

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Work Energy And Power Question 130

Question: A body of mass m moving with velocity v makes a head-on collision with another body of mass 2 m which is initially at rest. The loss of kinetic energy of the colliding body (mass m) is [MP PMT 1996]

Options:

Answer:

Solution:

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