need help with problem 007(part 2) 006 (part 1 of 3) 10.0 points A 2 kg block co

Question

need help with problem 007(part 2)

006 (part 1 of 3) 10.0 points A 2 kg block collides with a massless spring of spring constant 94 N/m attached to a wall. The speed of the block was observed to be m/s at the moment of collision. The acceleration of gravity is 9.8 m/s2 How far does the spring compress if the sur- face on which the mass moves is frictionless? Answer in units of cm. 007 (part 2 of 3) 10.0 points The maximum distance to which the spring was compressed was observed to be 12.2527 cm. What is the kinetic coefficient of friction between the block and the floor?

Explanation / Answer

1.

We use law of conservation of energy to the block spring system,

Block’s initial KE = Spring’s final PE

1/2mv^2 = 1/2kx^2

½*2*1.4^2 = ½*94*x^2

x = 0.2 m = 20cm

2.

When x= 12.2527 cm = 0.122527m

We use law of conservation of energy to the block spring system,

Block’s initial KE = Work done by friction + Spring’s final PE

1/2mv^2 = µk*mg + 1/2kx^2

½*2*1.4^2 = µk*2*9.8 + ½*94*0.122527^2

µk = 0.064

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