(a) Prove algebraically that if the speed of a body is increased to times its initial…

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

Problem

(a) Prove algebraically that if the speed of a body is increased to nn times its initial value, its kinetic energy becomes n2n^2 times the initial kinetic energy. A cart of mass 25 kg25\,\text{kg} is initially moving on a straight track with a speed of 2 m/s2\,\text{m/s}. A constant horizontal force acts on the cart for 10 s10\,\text{s}, increasing its speed to 6 m/s6\,\text{m/s}. (a) (b) Calculate the initial kinetic energy of the cart. (b) (c) Calculate the final kinetic energy of the cart after the force has acted. (c) (d) Determine the work done by the force on the cart. (d) (e) Hence calculate the magnitude of the force applied.

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