Two blocks with masses 0.453 kg (A) and 0.703 kg (B) sit on a frictionless surface....
Two blocks with masses 0.453 kg (A) and 0.703 kg (B) sit on a frictionless surface. Between them is a spring with spring constant 28.1 N/m, which is not attached to either block The two blocks are pushed together, compressing the spring by 0.303 meter, after which the system is released from rest. What is the final speed of the block A?
Homework Answers
Because all the surfaces are frictionless. The energy and momentum of the system are conserved.
Initially, the blocks are stationary and spring is compressed. So, the initial momentum of the system is
And the initial energy of the system is
Now, the momentum after the blocks are released is
And the energy after the blocked is released is
The conservation of momentum gives us
And the conservation of energy gives us
Putting the value of vb
So, the velocity of the block A after the release is 1.861\ m/s.
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