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Standard XII

Physics

Velocity of COM

A car open at...

Question

A car (open at the top) of mass 9.75 kg is coasting along a level track at 1.36 m/s, when it begins to rain hard. The raindrops fall vertically with respect to the ground. When it has collected 0.5 kg of rain, the speed of the car is

0.68 m/s

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1.29 m/s

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2.48 m/s

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9.8 m/s

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Solution

The correct option is B 1.29 m/s
Initial $m_{1} = 9.75$ kg
final $m = 9.75 + 0.5 = 10.25$
$m_{1} v_{1} = m_{2} v_{2}$
$(9.75) (1.36) = (10.25) v_{2}$
$v_{2} = 1.29$ m/s

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A car (open at the top) of mass 9.75 kg is coasting along a level track at 1.36 m/s, when it begins to rain hard. The raindrops fall vertically with respect to the ground. When it has collected 0.5 kg of rain, the speed of the car is

The correct option is B 1.29 m/sInitial m1=9.75 kgfinal m=9.75+0.5=10.25m1v1=m2v2(9.75)(1.36)=(10.25)v2v2=1.29 m/s

The correct option is B 1.29 m/s
Initial $m_{1} = 9.75$ kg
final $m = 9.75 + 0.5 = 10.25$
$m_{1} v_{1} = m_{2} v_{2}$
$(9.75) (1.36) = (10.25) v_{2}$
$v_{2} = 1.29$ m/s