A small block of mass 200 g is situated at the top of a frictionless incline which is 10 m long and 3.2 m high. Determine the work required to lift the block from the ground and place it at the top. Take g = 10 m/s ^2 .

Step-by-step solution

Mass of the block, m = 200 g = 0.2 kg Height of the incline, h = 3.2 m Acceleration due to gravity, g = 10 m/s ^2 The work required to lift the block from the ground to the top of the incline is equal to the change in its gravitational potential energy. W = mgh W = 0.2 10 3.2 W = 6.4 J