A point particle of mass 0.5 ~kg is moving along the x -axis under a force described by the potential energy V shown below. It is projected towards the right from the origin with a speed v . What is the minimum value of

Correct answer: B. 2 ~ms^ -1 (1)/(2) m v^ 2 +0=0+1 v^ 2 =4 or v=2 ~m / s

NEET

Exam: NEET
Subject: Physics
Chapter: Motion in One Dimension

NEET · Physics · Motion in One Dimension

A point particle of mass 0.5 ~kg is moving along the x -axis under...

A point particle of mass

0.5 \mathrm{~kg}

is moving along the

\mathrm{x}

-axis under a force described by the potential energy

\mathrm{V}

shown below. It is projected towards the right from the origin with a speed

\mathrm{v}

. What is the minimum value of

v

for which the particle will escape infinitely fasr away from the origin? A point particle of mass 0.5 ~kg is moving along the x -axis under a force described by the potential energy V shown

A point particle of mass 0.5 ~kg is moving along the x -axis under a force described by the potential energy V shown

Options

A $2 \sqrt{2} \mathrm{~ms}^{-1}$
B $2 \mathrm{~ms}^{-1}$
C $4 \mathrm{~ms}^{-1}$
DThe particle will never escape

Correct answer

B. $2 \mathrm{~ms}^{-1}$

Step-by-step solution

\frac{1}{2} m v^{2}+0=0+1

v^{2}=4

v=2 \mathrm{~m} / \mathrm{s}

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