5. In figure below, block 2(mass 30 kg) is at rest on a frictionless surface and

Question

5. In figure below, block 2(mass 30 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 100 Nm. The other end of the spring is fixed to a wall. Block 1 (mass 2,5 kg), traveling at speed v 50 m/s, collides with block 2, and the two blocks stick together, (a) What is the speed at which the two blokes move immediately after the collision (8pts)? (b) When the blocks momentarily stop, by what distance is the spring compressed (8pts)? 6, A piano tuner stretches a steel piano wire with a tension of 600 N. The wire is 0.4 m long and has a mass of0.005 kg. (a) What is the speed of a transverse wave on the wire (4pts)?

Explanation / Answer

5)

Here ,

let the speed after collision is v m/s

a) using conservation of momentum

2.50 * 5.0 = (3 + 2.5) * v

v = 2.27 m/s

the speed of two blocks is 2.27 m/s

b)

let the distance is x

Using conservation of energy

0.5 * 100 * x^2 = 0.5 * 5.5 * 2.27^2

x = 0.533 m

the spring is compressed by 0.533 m

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