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A 2.80-kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring.


A 2.80-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 of the spring, if the box compresses the spring 5.50 cm before coming to rest.  

b. Determine the initial speed the box would need in order to compress the spring by 1.30 cm. 


A box slides from rest down a frictionless ramp inclined at 39.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 2.50 × 104 N/m. If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression of the spring when the box comes to rest.

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