A boy of mass 60 kg jumps out of a moving boat of mass 500 kg with a velocity of 5 m/s. The velocity with which the boat starts moving backwards is:

0.3 m/s

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2.5 m/s

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3 m/ s

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0.6 m/s

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Solution

The correct option is D 0.6 m/s
Given : $m_{m} = 60$ kg $m_{b} = 500$ kg $V_{m} = 5$ m/s
Recoil velocity of the boat $V_{b} = \frac{m_{m}}{m_{b}} V_{m}$
$∴$ $V_{b} = \frac{60}{500} \times 5 = 0.6$ m/s

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A boy of mass 60 kg jumps out of a moving boat of mass 500 kg with a velocity of 5 m/s. The velocity with which the boat starts moving backwards is:

The correct option is D 0.6 m/sGiven : mm=60 kg mb=500 kg Vm=5 m/sRecoil velocity of the boat Vb=mmmbVm∴ Vb=60500×5=0.6 m/s

The correct option is D 0.6 m/s
Given : $m_{m} = 60$ kg $m_{b} = 500$ kg $V_{m} = 5$ m/s
Recoil velocity of the boat $V_{b} = \frac{m_{m}}{m_{b}} V_{m}$
$∴$ $V_{b} = \frac{60}{500} \times 5 = 0.6$ m/s