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 $
