The mass of a loaded truck $10$ tonnes is going at a speed of $20 k m p h$ . A box of mass $2$ tonnes slips from it and falls on the road. Find the final velocity of the truck (assume that the power of the engine is constant)?

2.5 k m p h

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25 k m p h

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5.5 k m p h

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3.5 k m p h

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Solution

The correct option is B $25 k m p h$
When the external force is zero then momentum remains constant.
Using momentum conservation,
Initial momentum $(P_{i})$ = Final momentum $(P_{f})$
Momentum = mass $\times$ velocity
$P_{i} = 10 \times 20$ ; here units are taken same as given in the question
$P_{f} = 8 \times v$
Now equate momentum-
$10 \times 20 = 8 \times v$
$\Rightarrow v = 25 k m p h$

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The mass of a loaded truck 10 tonnes is going at a speed of 20 kmph. A box of mass 2 tonnes slips from it and falls on the road. Find the final velocity of the truck (assume that the power of the engine is constant)?

The mass of a loaded truck $10$ tonnes is going at a speed of $20 k m p h$ . A box of mass $2$ tonnes slips from it and falls on the road. Find the final velocity of the truck (assume that the power of the engine is constant)?