1. A cyclist starts from rest and freewheels down a hill inclined atarcsin 1/20to the horizontal. After traveling80 mthe road becomes horizontal and the cyclist travels another80 mbefore coming to rest without using his brakes. Given that the combined mass of the cyclist and his machine is80 kg, model the cyclist and his machine as a single particle and hence find the, assumed constant throughout the motion.resistive force

2. A boy and his skateboard have a mass of50 kg. He descends a slope inclined at12(degrees)to the horizontal from rest. At the bottom, the ground becomes horizontal for10 mbefore rising at8(degrees)to the horizontal. The boy travels30 mup the incline before coming to rest again. He is subject to a constant resistance of20 Nthroughout the motion. By modeling the boy and his skateboard as a single particle find thethe boy traveled down the slope.distance

3. A book slides down a rough desk lid which is inclined at30(degrees)to the horizontal and falls to the ground which is0.8 mbelow the edge of the lid. Thecoefficient of frictionbetween the book and the lid is1/4. Given that the book starts from rest0.4 mfrom the bottom of the lid which is hinged is at the edge of the desk, find thewith which the book hits the floor.speed

4. A rough plane is inclined atarcsin 3/5to the horizontal. A package of mass40 kgis released from rest and travels15 mwhile increasing speed to12 m/s. Find, using energy considerations, thebetween the package and the plane.coefficient of friction

Im revising for my Mechanics 2 A2 Level exam so ill be really grateful.... Thankyou....