The table shows measurements taken for a toy train that travels at various constant…

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

Problem

The table shows measurements taken for a toy train that travels at various constant speeds around a circular track. Speed

v

(m/s): 2.0 3.0 4.0 Centripetal acceleration

a_c

(m/s

^{2}

): 0.50 1.1 2.0 If a graph of

a_c

(vertical axis) versus

v^{2}

(horizontal axis) is drawn, what is the best estimate of the radius of the track? (a)

12\text{ m}

(b)

4.0\text{ m}

(c)

8.0\text{ m}

(d)

6.0\text{ m}