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(e) If the spring was compressed by 5.30 cm, what is the spring constant of the spring? N/m

(e) If the spring was compressed by 5.30 cm, what is the spring constant of the spring? N/m

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Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them as shown in the figure below. A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of v. 1.65 m/s. 3m Two images, figure a and figure b, depict two different configuransNA ocm ass m, a block omens sm, a cord, and a spring. a. Before: Rcoock of mass m on the let is connected to a he block of mass 3m on the right by a taut cord and by a Vm pressed spring. V3m Arter: The block fmass m is onthe le nd the bidck of mass 3mis on tmight. m. 2he ered and the Co spring, no fonger compressed, is attached on its right Afterhe block of bmass 3m, but its left end is unattached. Vector v is (a) What is the velocity of the block of mass m? (Assume right is positive and left is negative.) -4.9 m/s (b) Find the system's original elastic potential energy, taking m = 0.470 kg. 7.7 (c) Is the original energy in the spring or in the cord? in the spring in the cord (d) Is the momentum of the system conserved in the bursting-apart process? Yes No (e) If the spring was compressed by 5.30 cm, what is the spring constant of the spring? X N/m
Transcribed Image Text:Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them as shown in the figure below. A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of v. 1.65 m/s. 3m Two images, figure a and figure b, depict two different configuransNA ocm ass m, a block omens sm, a cord, and a spring. a. Before: Rcoock of mass m on the let is connected to a he block of mass 3m on the right by a taut cord and by a Vm pressed spring. V3m Arter: The block fmass m is onthe le nd the bidck of mass 3mis on tmight. m. 2he ered and the Co spring, no fonger compressed, is attached on its right Afterhe block of bmass 3m, but its left end is unattached. Vector v is (a) What is the velocity of the block of mass m? (Assume right is positive and left is negative.) -4.9 m/s (b) Find the system's original elastic potential energy, taking m = 0.470 kg. 7.7 (c) Is the original energy in the spring or in the cord? in the spring in the cord (d) Is the momentum of the system conserved in the bursting-apart process? Yes No (e) If the spring was compressed by 5.30 cm, what is the spring constant of the spring? X N/m
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