I need help with a & b at the very bottom of this problem. (a) Determine the vel

Question

I need help with a & b at the very bottom of this problem.

(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.)
  m/s

(b) Find the compression of the spring.
.173  
Your response differs from the correct answer by more than 10%. Double check your calculations. m

EXERCISEHINTS:  GETTING STARTED  |  I'M STUCK!

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 =   
What is the total momentum before the collision? Write an expression for the total momentum after the collision and solve for the velocity of block 1. m/s

(b) Find the compression of the spring.
x =   
Mechanical energy is conserved. Any kinetic energy that is missing from the system has been converted into potential energy in the spring. m

Explanation / Answer

total momentum before collision = total mometum after collision

m1*v1i + m2*v2i = m1*v1f + m2v2f

(1.5*3.63)-(2.11*2.17) = 1.5*vif + 0

vif = 0 .5775 m/s

and also

0.5*m1*v1i^2 + 0.5*m2*v2i^2 = 0.5*k*x^2 + 0.5*m1*v1f^2

0.5*1.5*3.63^2 + 0.5*2.11*2.17^2 = 0.5*608*x^2 + 0.5*1.5*0.5775^2

x = 0.219 m

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