A roller-coaster car of mass starts from point A at height above the ground with a…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A roller-coaster car of mass

500\,\text{kg}

starts from point A at height

20\,\text{m}

above the ground with a speed of

3\,\text{m\,s}^{-1}

. The track is smooth. (i) Calculate the speed of the car at point B, which is

10\,\text{m}

above the ground. (ii) Calculate its speed at point C, which is

15\,\text{m}

above the ground. Take

g = 9.8\,\text{m\,s}^{-2}