A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 ms'.The kinetic energy of the other mass is

256 J

486 J

524 J

324 J

Solution

486 J

The linear momentum of the exploding part will remain conserved.

Applying coservation of linear momentum,

m₁ u₁ =m₂ u₂

Here, m₁ = 18kg, m₂ = 12kg

u₁ = 6ms^-1, u₂ = ?

$u_{2} = \frac{18 \times 6}{12} 9 {ms}^{- 1}$

Thus kinetic energy of 12 kg mass

$K_{2} = \frac{1}{2} m_{1} u_{2}^{2} = \frac{1}{2} \times 12 \times {(9)}^{2} = 6 \times 81 K_{2} = 486 J$

Some More Questions From Laws of Motion Chapter

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Laws Of Motion

A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 ms'.The kinetic energy of the other mass is

256 J

486 J

524 J

324 J

Some More Questions From Laws of Motion Chapter

Define inertia.

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

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For Daily Free Study Material Join wiredfaculty

Laws Of Motion

A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 ms'.The kinetic energy of the other mass is 256 J 486 J 524 J 324 J

Some More Questions From Laws of Motion Chapter

Define inertia.

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 ms'.The kinetic energy of the other mass is

256 J

486 J

524 J

324 J