Two masses of 1 ,kg and 2 ,kg respectively are connected by a mas… - Vidyadip

MCQ

Two masses of $1\,kg$ and $2\,kg$ respectively are connected by a massless spring as shown in figure. A force of $20\,N$ acts on the $2\,kg$ mass at the instant when the $1\, kg$ mass has an acceleration of $10\,ms^{-2}$ towards right, the acceleration of the $2\,\,kg$ mass is ......... $ms^{-2}$

A
$2$
✓
$5$
C
$10$
D
$20$

✓

Answer

Correct option: B.

$5$

b
$\mathrm{F}=\mathrm{m}_{1} \mathrm{a}_{1}+\mathrm{m}_{2} \mathrm{a}_{2}$

[Newton's law for system]

$20=1 \times 10+2 \times a$

$a=5 \mathrm{m} / \mathrm{s}^{2}$

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