A car approaches a hill at a speed of 40 m/s. When it reaches the base of the hill it runs out of gas and has to coast up the hill. Assuming that there is no friction, at what height
will the car come to rest?

Estimate the kinetic energy of the neptune with respect to the sun as the sum of the terms, that due to its daily rotation about its axis, and that due to its yearly revolution about the sun. [assume the neptune is a uniform sphere with mass = 1.0×1026 kg , radius = 2.5×1010 m , rotation period 16.1 h , orbital period 6.01×104 d and is 4.6×109 km from the sun.]