please show works A 6-kg block (m1), initially at rest on a rough shelf, is conn
ID: 1903602 • Letter: P
Question
please show works
A 6-kg block (m1), initially at rest on a rough shelf, is connected to a 4-kg block (m2) that hangs by a light inextensible string over a massless, frictionless pulley. The 6-kg block is pushed against a spring compressing it a distance of 50 cm before the block is then released. The force constant of spring, k = 450 N/m. The 6-kg block is not attached to the spring. The coefficient of kinetic friction between the 6-kg block and the shelf surface is 0.2. After the spring is released, calculate the speed of the blocks at the instant the spring returns to its un-stretched length. Assume the blocks do not hit the pulley.Explanation / Answer
when the spring is compressed, energy stored = 1/2 Kx^2 = 0.5 X 450 X 0.5 = 112.5 J. work done by friction after the spring is released = 0.2 X 6X9.8 X 0.5 = 5.88 J remaining energy is given to the block as kinetic energy. so, 0.5 X 6 X v62 = 112.5 - 5.88 v= 5.96 m/s velocity of the 4 kg block = 0 as the tension suddenly becomes slack, when spring is left
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