A laboratory track forms a smooth incline of unknown angle

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

\theta

. When a small trolley is released from rest, its acceleration along the track is measured to be

4.0\,\text{m}\,\text{s}^{-2}

. (i) Derive an expression for

\theta

in terms of the measured acceleration

a

and the usual acceleration due to gravity

g

. (ii) Using

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

, calculate the value of

\theta

correct to the nearest degree. (iii) If the length of the track is

3.5\,\text{m}

, compute the time the trolley takes to travel the full length starting from rest.