A passenger of mass is seated in a roller-coaster car that passes through the lowest…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A passenger of mass

70\,\text{kg}

is seated in a roller-coaster car that passes through the lowest point of a vertical circular dip of radius

25\,\text{m}

at a speed of

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

. Ignore any vertical acceleration of the car other than the circular motion. Take

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

. What is the normal force exerted by the seat on the passenger at that instant? (a)

1.31\,\text{kN}

(b)

1.8\,\text{kN}

(c)

0.70\,\text{kN}

(d)

2.44\,\text{kN}