Question

a car weighing 1000kg is going up an incline of slope 2 in 25then power is​

Answer 1

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Answer 2

The power of the car along the incline is 3.9 kW.

Explanation:

Mass of the car, m = 1000 kg

It is going up an incline of slope 2 in 25 at an steady speed of 18 km/h or 5 m/s.

Finding angle using trigonometry as :

$\tan \theta=\dfrac{2}{25}\\\\\theta=4.57^{\circ}$

Weight of the car along the inclined is given by :

$F=mg\sin \theta\\\\F=1000\times 9.8\sin (4.57)\\\\F=780.83\ N$

Power is given by:

$P=F\times v\\\\P=780.83\times 5\\\\P=3904.15\ W\\\\P=3.9\ kW$

So, the power of the car along the incline is 3.9 kW.

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