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A block of mass 0.50 {~kg} is moving with a speed of 2.00 {~ms

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Solving time: 3 mins

A block of mass $0.50 kg$ is moving with a speed of $2.00 ms^{- 1}$ on a smooth surface. It strikes another mass of $1.00 kg$ and then they move together as a single body. The energy loss during the collision is
(a) $0.16 J$
(b) $1.00 J$
(c) $0.67 J$
(d) $0.34 J$

Views: 6,173 students

Updated on: Jan 21, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2008

Found 8 tutors discussing this question

Noah Discussed

A block of mass

0.50 kg

is moving with a speed of

2.00 ms^{- 1}

on a smooth surface. It strikes another mass of

1.00 kg

and then they move together as a single body. The energy loss during the collision is
(a)

0.16 J

(b)

1.00 J

(c)

0.67 J

(d)

0.34 J

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Exp. (c)
From law of conservation of momentum, we have

m_{1} v_{1} + m_{2} v 2 = (m_{1} + m_{2}) v

Given,

m_{1} = 0.50 kg, v_{1} = 2 ms^{- 1}

m_{2} = 1 kg

v_{2} = 0

[at rest]

0.5 \times 2 + 1 \times 0

1.5 \times v

[assumed that 2 nd body is at rest]

\Rightarrow

v = \frac{2}{3}

∴

Δ K = K_{f} - K_{i}

\frac{1.5 \times ( \frac{2}{3} ) ^{2}}{2} - (0.5) \times \frac{2 ^{2}}{2}

- \frac{2}{3} J

- 0.67 J

So, energy lost is

0.67 J

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Question Text	A block of mass $0.50 kg$ is moving with a speed of $2.00 ms^{- 1}$ on a smooth surface. It strikes another mass of $1.00 kg$ and then they move together as a single body. The energy loss during the collision is (a) $0.16 J$ (b) $1.00 J$ (c) $0.67 J$ (d) $0.34 J$
Updated On	Jan 21, 2023
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	348
Avg. Video Duration	10 min

A block of mass $0.50 kg$ is moving with a speed of $2.00 ms^{- 1}$ on a smooth surface. It strikes another mass of $1.00 kg$ and then they move together as a single body. The energy loss during the collision is
(a) $0.16 J$
(b) $1.00 J$
(c) $0.67 J$
(d) $0.34 J$

Text solutionVerified

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A block of mass 0.50 kg is moving with a speed of 2.00 ms−1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is(a) 0.16 J(b) 1.00 J(c) 0.67 J(d) 0.34 J

Text solutionVerified

Filo tutor solutions (3)

Questions from JEE Mains 2008 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

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A block of mass $0.50 kg$ is moving with a speed of $2.00 ms^{- 1}$ on a smooth surface. It strikes another mass of $1.00 kg$ and then they move together as a single body. The energy loss during the collision is
(a) $0.16 J$
(b) $1.00 J$
(c) $0.67 J$
(d) $0.34 J$