A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 k

Name: Problem 2, Chapter 7: Guide to Physics IIT JEE
Uploaded: 2021-11-02T10:51:42-08:00
Duration: 1 min 41 s
Channel: Khoobchandra Agrawal
Description: A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 ms^-1. The kinetic ennergy of mass 6 kg in joule is (a) 768 (b) 96 (c) 384 (d) 192

step 1 Hi friends let the velocity and mass of 4 kg piece be B1 and M1 and that of 12 kgg piece B2 and

Question

A bomb of mass $9 \mathrm{~kg}$ explodes into two pieces of mass $3 \mathrm{~kg}$ and $6 \mathrm{~kg}$. The velocity of mass $3 \mathrm{~kg}$ is $16 \mathrm{~ms}^{-1}$. The kinetic ennergy of mass $6 \mathrm{~kg}$ in joule is (a) 768 (b) 96 (c) 384 (d) 192

   A bomb of mass $9 \mathrm{~kg}$ explodes into two pieces of mass $3 \mathrm{~kg}$ and $6 \mathrm{~kg}$. The velocity of mass $3 \mathrm{~kg}$ is $16 \mathrm{~ms}^{-1}$. The kinetic ennergy of mass $6 \mathrm{~kg}$ in joule is
(a) 768
(b) 96
(c) 384
(d) 192

Guide to Physics IIT JEE

Ravi Raj Dudeja 1st Edition

Chapter 7, Problem 2

Instant Answer

Solved by Expert Khoobchandra Agrawal

11/02/2021

Step 1

Given that the mass of the bomb is $9 \mathrm{~kg}$ and the velocity of mass $3 \mathrm{~kg}$ is $16 \mathrm{~ms}^{-1}$. The total initial kinetic energy is given by $KE = \frac{1}{2}mv^2$, where $m$ is the mass and $v$ is the velocity. Therefore, $KE = Show more…

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A bomb of mass $9 \mathrm{~kg}$ explodes into two pieces of mass $3 \mathrm{~kg}$ and $6 \mathrm{~kg}$. The velocity of mass $3 \mathrm{~kg}$ is $16 \mathrm{~ms}^{-1}$. The kinetic ennergy of mass $6 \mathrm{~kg}$ in joule is (a) 768 (b) 96 (c) 384 (d) 192

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Key Concepts

Conservation of Momentum

In explosion problems, the total momentum of the system before the explosion must equal the total momentum after the explosion, assuming there are no external forces acting on the system. This principle is used to relate the velocities of the fragments after the explosion, especially when the bomb is initially at rest, implying that the momentum of one fragment is balanced by the momentum of the other fragment in the opposite direction.

Kinetic Energy

Kinetic energy is the energy that an object possesses due to its motion and is given by the formula KE = 1/2 m v². In explosion scenarios, after using conservation of momentum to determine the velocity of the fragments, this formula is applied to calculate the kinetic energy associated with each fragment based on its mass and velocity.

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