A trolley moves down a gentle incline under a constant net force

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A trolley moves down a gentle incline under a constant net force. Work through the following parts. (i) A

5\,\text{kg}

trolley starts with a speed of

1\,\text{m/s}

and moves

15\,\text{m}

down the incline with a constant acceleration of

0.4\,\text{m/s}^{2}

. Calculate its speed at the end of the

15\,\text{m}

. (ii) Find the magnitude of the net force acting on the trolley along the incline. (iii) Determine the work done by this net force during the

15\,\text{m}

travel. (iv) Show that the value obtained in part (iii) equals the change in kinetic energy of the trolley. (v) If the same net force acts over a distance of

30\,\text{m}

, starting again from a speed of

1\,\text{m/s}

, predict the final speed of the trolley without recalculating the acceleration.

Related theory

Kinematic Equations for Uniform Acceleration
Kinetic Energy
Conservation of Energy
Work, energy and power
Conservation of mechanical energy
Kinetic energy and the work-energy theorem
Work and kinetic energy: Work–energy theorem

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