The figure shows a cord attached to a cart that can slide along a frictionless h

Question

The figure shows a cord attached to a cart that can slide along a frictionless horizontal rail aligned along an x axis. The left end of the cord is pulled over a pulley, of negligible mass and friction and at cord height h = 1.3 m, so the cart slides from x1 = 3.0 m to x2 = 2.0 m. During the move, the tension in the cord is a constant 28.0 N. What is the change in the kinetic energy of the cart during the move?

The figure shows a cord attached to a cart that can slide along a frictionless horizontal rail aligned along an x axis. The left end of the cord is pulled over a pulley, of negligible mass and friction and at cord height h = 1.3 m, so the cart slides from x1 = 3.0 m to x2 = 2.0 m. During the move, the tension in the cord is a constant 28.0 N. What is the change in the kinetic energy of the cart during the move?

Explanation / Answer

Gain in KE of the cart = work done by the pull = Force . distance moved by the force
KE gain = 28 . ?(1.3^3 + 1^2 ) = 45.9 J

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