Figure shows a boy on a horizontal platform A on a smooth horizontal surface, holding a rope attached to a box B. Boy pulls the rope with a constant force of 50 N. The combined mass of platform A and boy is 250 kg and that of box B is 500 kg. The velocity of A relative to the box B 5 s after the boy on A begins to pull the rope, will be

# Figure shows a boy on a horizontal platform A on a smooth horizontal surface, holding a rope attached to a box B. Boy pulls the rope with a constant force of 50 N. The combined mass of platform A and boy is 250 kg and that of box B is 500 kg. The velocity of A relative to the box B 5 s after the boy on A begins to pull the rope, will be

1. A

1 m/s

2. B

1.5 m/s

3. C

2 m/s

4. D

0.5 m/s

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### Solution:

$\begin{array}{l}50=250{\mathrm{a}}_{\mathrm{A}}⇒{\mathrm{a}}_{\mathrm{A}}=0.2\mathrm{m}/{\mathrm{s}}^{2}\\ 50=500{\mathrm{a}}_{\mathrm{B}}⇒{\mathrm{a}}_{\mathrm{B}}=-0.1\mathrm{m}/{\mathrm{s}}^{2}\\ {\mathrm{a}}_{\mathrm{AB}}=0.3\mathrm{m}/{\mathrm{s}}^{2}\\ {\mathrm{V}}_{\mathrm{AB}}={\mathrm{a}}_{\mathrm{AB}}\mathrm{t}=1.5\mathrm{m}/\mathrm{s}\end{array}$

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