Question

Car of mass 2 metric tons is moving up a smoot inclined plane with a velocity of 72 kmph. if the power of the engine is 8kw the angle of inclination of the inclined plane is

Answer 1

Power due to the force of engine is 8000 watts. Now P=F.V. As the car is moving with uniform velocity the force exerted by engine and Mgsin© must cancel out (©is the angle of inclination)72km/hr=20m/s 8000/20=400N=F. Mgsin©=400. sin©=1/50( if g=10m/s^2). Therefore ©=sin inverse of (1/50)°