An automobile moving with a speed of 36 km h - 1 reaches an upward inclined road of angle 30 ° , its engine becomes switch off. If the coefficient of friction is 0 . 1 , then how much distance will automobile move before coming to rest?

Step-by-step solution

Given, initial speed, u = 36   km   h - 1 = 36 × 1000 60 × 60 = 10   m   s - 1 θ = 30 ° ,   μ = 0 . 1 ,   s = ? Here, work done in moving up the inclined road =   K E of the vehicle m g   sin   θ + F   s = 1 2 m u 2 m g   sin   θ + μ R × s = 1 2 m u 2 m g   sin   θ + μ   m g   cos   θ × s = 1 2 m u 2 s = 1 2 m u 2 m g   sin   θ + μ   cos &#160