A block of mass m1 = 1.69 kg, initially moving to the right with a velocity of +

Question

A block of mass m1 = 1.69 kg, initially moving to the right with a velocity of +4.07 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.42 kg moving to the left with a velocity of -2.55 m/s, as shown in Figure a. The spring has a spring constant of 5.81 102 N/m.

(a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s, as shown in Figure b. (Indicate the direction with the sign of your answer.) Correct: Your answer is correct. -1.8 m/s

(b) Find the compression of the spring. Correct: Your answer is correct. .189 m

THESE ARE THE QUESTIONS I NEED ANSWERED:

Use the values from PRACTICE IT to help you work this exercise. Consider the instant that block 2 is at rest.

(a) Find the velocity of block 1. (Indicate the direction with the sign of your answer.) v1f = m/s

(b) Find the compression of the spring. x = m

Explanation / Answer

a)Conserving momentum,

1.69*4.07-2.42*2.55=1.69vf+0

vf=0.419m/s

b)Conserving energy,

0.5*1.69*4.07^2+0.5*2.42*2.55^2=0.5*1.69*0.419^2+0+0.5*581*x^2

x=0.273m

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