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A 3.5 kg box is sliding along a frictionless horizontal surface with a speed of 1.8...

A 3.5 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring.

(a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 6.3 cm before coming to rest.

(B) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.7 cm.

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