Two blocks are held together, with a compressed spring between them, on a horizo
ID: 1461613 • Letter: T
Question
Two blocks are held together, with a compressed spring between them, on a horizontal frictionless surface. When the system is released, the spring pushes the blocks apart and they then move off in opposite directions. The spring remains behind, and you can assume that all of its energy is transformed to the kinetic energy of the blocks.
The mass of block A is 3.00 times the mass of block B, and the energy stored in the spring was 260. J. What is the kinetic energy of block A after it is no longer in contact with the spring?
Explanation / Answer
apply from the law of conservation of momentum
m1V1 = m2V2
V2 = 3VA
from the law of conservation of energy
0.5 M1 V1^2 + 0.5 M2V2^2 = 260
as V2 = 3Va
4 times of 0.5 MV^2 = 260
KE a = 260/4 = 65 Joules
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