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 :

• A. $\frac{2}{3}F$
• B. $F$
• C. $\frac{3}{2}F$
• D. $2F$

Answer 1

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

Given,

Mass of G, $m_g=m$

Mass of H, $m_g=2m$

Force applied is $=F$

Applied force give acceleration to the system

$(m_g+m_h)a=F$

$a=\frac{F}{m_g+m_h}=\frac{F}{m+2m}=\frac{F}{3m}$

Force on H $=m_{h}a=2m\times \frac{F}{3m}=\frac{2F}{3}$

Force on H is $\frac{2F}{3}$