A loaded transport truck with a mass of 38000 kg is travelling at 1.20 m/s. What will be the velocity of a 1400 kg car if it has the same momentum?

32.57 m/s

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30 m/s

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15 m/s

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32.67 m/s

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Solution

The correct option is C 32.57 m/s
Momentum of truck $P_{t r u c k} = m_{t r u c k} v_{t r u c k}$
from given data in question $m_{t r u c k} = 38000 k g; v_{t r u c k} = 1.2 m / s$
$P_{t r u c k} = 38000 \times 1.2 = 45600 k g m / s$
the momentum of car is equal to momentum of truck $P_{c a r} = m_{c a r} v_{c a r} \Rightarrow v_{c a r} = 45600 / 1400 = 32.57 m / s$

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A loaded transport truck with a mass of 38000 kg is travelling at 1.20 m/s. What will be the velocity of a 1400 kg car if it has the same momentum?

The correct option is C 32.57 m/sMomentum of truck Ptruck=mtruckvtruckfrom given data in question mtruck=38000kg;vtruck=1.2m/sPtruck=38000×1.2=45600kgm/sthe momentum of car is equal to momentum of truck Pcar=mcarvcar⇒vcar=45600/1400=32.57m/s