A car weighing 1000kg is going up an incline with a slope of 2 in 25 at a steady speed of 18kmph. If g=10ms, the power of its engine is
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Answer:
The power of the engine is 4 KW
Explanation:
According to the problem the weight of the car is 1000kg
and the slope is 2 in 25
it means it will go 2 meter towards head and then it will cover the hypotenuses 25 m
Now the sinθ = 2/25
Now the speed is 18 km /hr
Now we need to find the power,
As we know the power is = work done/time = force x displacement/ time
Now displacement/ time = velocity
Therefore Power = force x velocity
Now as the car is in the slope the therefore it has two components of force : mg ad mgsinθ
Therefore, Power = mgsinθ x v
= 1000 x 10 x 2/25 x 18 x 1000/3600
= 4000 Watt or 4 KW
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