Work Energy And Power Question 193

Question: A truck of mass 30,000kg moves up an inclined plane of slope 1 in 100 at a speed of 30 kmph. The power of the truck is (given $ g=10m{s^{-1}}) $ [Kerala (Engg.) 2001]

Options:

A) 25 kW

B) 10 kW

C) 5 kW

D) 2.5 kW

Show Answer

Answer:

Correct Answer: A

Solution:

As truck is moving on an incline plane therefore only component of weight $ (mg\sin \theta ) $ will oppose the upward motion Power = force × velocity = $ mg\sin \theta \times v $

$ =30000\times 10\times ( \frac{1}{100} )\times \frac{30\times 5}{18}=25kW $



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