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An object of mass 24,000 kg, moving horizontally at 0.11 m/s is brought to a halt...

An object of mass 24,000 kg, moving horizontally at 0.11 m/s is brought to a halt by a spring, with a spring constant k = 268 kN/m. Assume the spring is initially at the equilibrium position, and find the magnitude of distance which the spring is compressed to bring the object to a halt. Assume energy is conserved. Give your answer in metres, to 2 sf.

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Answer #1

The kinetic energy of the block gets converted to potential energy of spring

KE = PE

0.5mv^2 = 0.5kx^2

24000*0.11^2 = 268000*x^2

x = 0.033 m

So the spring conpresses by 3.3 cm

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