A cyclist free-wheels from the top of a hill, gathers speed going down the hill, applies the brakes and eventually comes to rest at the bottom of the hill. Which one of the following energy changes take place.

A skier starts from the top of a hill with speed 5m//s and slides down the hill of vertical height 60 m as shown. Neglect friction. Find his speed at the bottom.

As one moves down the group from top to bottom then which of the following will not be observed?

Kapil and his two friends went on a hiking trip. They started from a place 3600 m high. They climbed 3120 m and reached to the top of a hill. Then they walked 300 m on the hill range at the same level. Again they climbed down to a valley 1560 m from the top of the hill range. After walking another 400 m at this level, they climbed up for about 820 m and camped. At what height from the ground did they pitch the camp?

A solid sphere and a hollow cylinder have the same radius and the same mass. They start from rest at the top of an incline. Which reaches the bottom first? Which has the greater speed at the bottom? Which has the greater total kinetic energy of the bottom ? Which has the greater rotational KE ?

A sphere and a cylinder have the same radius and the same mass. They start from rest at the top of an incline. Which reaches the bottom first? Which has the greater speed at the bottom? Which has the greater total kinetic energy of the bottom ? Which has the greater rotational KE ?

A trolley car starts from rest at the top of a hill as shown in figure -3.9 and moves down the curved track. Determine its speed as it reaches the bottom. Assume that the work done by frictional forces is negligible.

A solid sphere of mass m rolls down an inclined plane without slipping from rest at the top of an inclined plane.The linear speed of the sphere at the bottom of the inclined plane is v .The kinetic energy of the sphere at the bottom is