Two identical laboratory carts

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

Problem

Two identical laboratory carts, each of mass 0.40 kg0.40\,\text{kg}, travel along a straight, horizontal track. A kinetic–energy–versus–time graph (not shown) for the two–cart system displays the following characteristics: • From t=0t=0 to t=0.50 st=0.50\,\text{s} the total kinetic energy of the system remains constant at 4.0 J4.0\,\text{J}. • At t=0.50 st=0.50\,\text{s} the kinetic energy drops abruptly to 2.6 J2.6\,\text{J} and then remains constant for t>0.50 st>0.50\,\text{s}. No external horizontal forces act on the carts. Answer the questions below. (a) Calculate the percentage of the system’s initial kinetic energy that is lost as a result of the collision. (b) Immediately after the collision, the carts stick together and move as a single object. Determine their common speed just after the collision. (c) Determine the magnitude of the impulse delivered to the two–cart system during the collision.

Related theory

Browse the problem library