m = 5.20 kg is sliding across a horizontal frictionless surface with an initial speed vi = 3.30 m/s when it encounters a spring of constant k = 2697 N/m. (a) The box comes momentarily to rest after compressing the spring by some amount xc. Calculate the change in the kinetic energy of the spring. (Hint: Should this value be negative or positive?) J

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As shown in the figure below, a box of mass
m = 5.20 kg
is sliding across a horizontal frictionless surface with an initial speed
vi = 3.30 m/s
when it encounters a spring of constant
k = 2697 N/m.
(a) The box comes momentarily to rest after compressing the spring by some amount xc. Calculate the change in the kinetic energy of the spring. (Hint: Should this value be negative or positive?)
J
(b) Calculate the potential energy of the spring when it is compressed. (Hint: Think about the Work-Energy Theorem)
J
(c) Calculate the amount xc by which the spring was compressed.

 

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