I need help with the second set b) (a) Determine the velocity of block 2 at the
ID: 1434586 • Letter: I
Question
I need help with the second set b)
(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.)
answer: -1.56 m/s
b) Find the compression of the spring.
answer: .192 m
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.)
answer: v1f = .78 m/s
b) Find the compression of the spring.
x= ???? m ( i need help on this one) Please show math. I keep getting the wrong answer.
Explanation / Answer
m1 = 1.59 kg, m2 = 2.27 kg, u1 =4.26 m/s , u2 =0 ,v1 = 3 m/s
k =6.12*10^2 N/m
From conservation of momentum
m1u1 +m2u2 =m1v1+m2v2
(1.59*4.26) +0 = (1.59*3) +(2.27*v2)
v2 = + 0.883 m/s
(b) From conservation of energy
(1/2)m2v2^2 =(1/2)kx^2
(0.5*2.27*0.883) = (0.5*612*x^2)
x =0.057 m