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Question

Two cardboard boxes full of books are in contact with each other on a frictionless table. Box H has twice the mass of box G. If you push on box G with a horizontal force F, then box H will experience a net force of :

1038491_90eee8b59c2b4109b6135a6e1959ae2e.png


A
23F
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B
F
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C
32F
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D
2F
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Solution

The correct option is A $$\dfrac{2}{3} F$$

Given,

Mass of G, $${{m}_{g}}=m$$

Mass of H, $${{m}_{g}}=\ 2m$$ 

Force applied is $$=F$$

Applied force give acceleration to the system

$$\left( {{m}_{g}}+{{m}_{h}} \right)a=F$$

$$a=\dfrac{F}{{{m}_{g}}+{{m}_{h}}}=\dfrac{F}{m+2m}=\dfrac{F}{3m}$$

Force on H $$={{m}_{h}}a=2m\times \dfrac{F}{3m}=\dfrac{2F}{3}$$

Force on H is $$\dfrac{2F}{3}$$ 


Physics

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