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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Newton's Laws of Motion

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Newton's Laws of Motion

Two blocks A and B having masses m_A and m_B respectively are...

Two blocks

A

and

B

having masses

m_A

and

m_B

respectively are placed in contact on a frictionless table. An experimenter pushes block

A

from behind, causing the blocks to accelerate. If the force exerted by block

A

on block

B

is

F

, determine the force applied by the experimenter on block

A

.

Options

A $F$ \left( $1 + \dfrac{m_B}{m_A}\right)$
B $F$ \left( $1 + \dfrac{m_A}{m_B}\right)$
C $F \left(\dfrac{m_A}{m_B}\right)$
D $F \left(\dfrac{m_B}{m_A}\right)$

Correct answer

B. $F$ \left( $1 + \dfrac{m_A}{m_B}\right)$

Step-by-step solution

Let the force applied by the experimenter be

P

.

The blocks

A and

B

move together with a common acceleration

a

.<br><br>The equation of motion for block

B

is:<br><br>

F = m_B a \Rightarrow a = \dfrac{F}{m_B}

<br><br>The equation of motion for the system of blocks

A

and

B

is:<br><br>

P = (m_A + m_B) a

<br><br>Substituting the value of

a

we get:<br><br>

P = (m_A + m_B) \left(\dfrac{F}{m_B}\right)

P = F \left(1 + \dfrac{m_A}{m_B}\right)

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