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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» 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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