Travelling at a speed of 36 km/hr , a car is taking a turn on a circular road of radius 50 m . A small wooden plate is positioned on the seat with its plane perpendicular to the radius of the circular road. A small block of mass 100 g is placed on the seat, resting against the plate. The friction coefficient between the block and the plate is = 0.58 . The plate is subsequently turned slowly such that the angle betwee

Step-by-step solution

Given: Speed of the car, v = 36 km/hr = 36 5 18 m/s = 10 m/s Radius of the circular road, R = 50 m Mass of the block, m = 100 g = 0.1 kg The car is moving on a circular path, so it has a centripetal acceleration directed towards the center of the circular road. The block, being inside the car and moving with it, must also have the same centripetal acceleration. The centripetal acceleration is given by: a_c = v^2 R = (10)^2 50 = 100 50 = 2 m/s ^2 The force required to provide this centripetal acceleration to the blo