A 1450-kg car is traveling with aspeed of 12 m/s on a frictionless, horizontal s

Question

A 1450-kg car is traveling with aspeed of 12 m/s on a frictionless, horizontal surface until itencounters a spring. (a) If the car compresses the spring 71 cm before coming to rest, what is the forceconstant of the spring? (b) What initial speed should the car have to compress thespring by 25.0 cm?
A 1450-kg car is traveling with aspeed of 12 m/s on a frictionless, horizontal surface until itencounters a spring. (a) If the car compresses the spring 71 cm before coming to rest, what is the forceconstant of the spring? (b) What initial speed should the car have to compress thespring by 25.0 cm?

Explanation / Answer

use conservation on energy, car has kinetic energy then it haselastic potential energy when it hits the spring using k for kinetic energy and E for elastic energy a)                K = E      (1/2)mv2 =(1/2)kx2 (1450)(12)2 = k(0.71)2                 k = 414203.5 N/m b)            K= E (1/2)mv2 = (1/2)kx2 (1450)v2 = (414203.5)(0.25)2           v2 = 25887.71875             v = 160.9 m/s           v2 = 25887.71875             v = 160.9 m/s

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