A 2.7-kg box is sliding along a frictionless horizontal surface with a speed of

Question

A 2.7-kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring.

A 2.7-kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. Determine the force constant of the spring, if the box compresses the spring 5.3 cm before coming to rest. Is energy conserved? How is the initial kinetic energy of the box related to the final potential energy of the spring? Can you write expressions for the initial kinetic energy of the box and the final potential energy of the spring? N/m Determine the initial speed the box would need in order to compress the spring by 1.5 cm.

Explanation / Answer

0.5kx^2 = 0.5mv^2

k = 3114.27 N/m

b) 0.5kx^2 = 0.5mv^2

v = 0.509m/sec

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