PRACTICE IT Use the worked example above to help you solve this problem. A block

Question

PRACTICE IT

Use the worked example above to help you solve this problem. A block of mass m1 = 1.59 kg, initially moving to the right with a velocity of +3.63 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.21 kg moving to the left with a velocity of

2.05 m/s,

(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 -1.59

(b) Find the compression of the spring answer .130

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.)

(b) Find the compression of the spring

Explanation / Answer

momentum will be conserved

1.59*3.63 -2.21*2.05

1.2412

speed =1.2412/1.59 =0.78062893081 m/s

change in KE =1/2 *1.59* 3.63^2 + 1/2*2.21*2.05^2 - 1/2 *1.59 * 0.78062893081^2 =spring energy gain =1/2Kx^2

14.6349396855 =1/2*6.15*100*x^2

x=0.21815888657 m

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