Two students, A and B

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

Problem

Two students, A and B, push a library trolley along a straight corridor. Student A applies a horizontal force of 40 N40\,\text{N} toward the east, while student B pushes with 25 N25\,\text{N} toward the west. A third student, C, can also push the trolley so that it either remains in equilibrium or accelerates. (a) Draw a clearly labelled diagram showing the three horizontal forces acting on the trolley and indicate their directions. (b) Taking the eastward direction as positive, write the algebraic condition for equilibrium and hence calculate the magnitude and direction of the force that student C must apply so that the trolley remains at rest. (c) Instead of following part (b), student C actually applies a 20 N20\,\text{N} force toward the east. Determine the net horizontal force acting on the trolley and its direction. (d) The mass of the loaded trolley is 30 kg30\,\text{kg}. Using the net force found in part (c), calculate the acceleration produced and state its direction.

Related theory

Browse the problem library