A block of ice of mass 4.10 kg is placed against a horizontal spring that has fo

Question

A block of ice of mass 4.10 kg is placed against a horizontal spring that has force constant k = 170 N/m and is compressed a distance 2.40×102 m . The spring is released and accelerates the block along a horizontal surface. You can ignore friction and the mass of the spring.

Part A

Calculate the work done on the block by the spring during the motion of the block from its initial position to where the spring has returned to its uncompressed length.

Express your answer using two significant figures.

Part B

What is the speed of the block after it leaves the spring?

Express your answer using two significant figures.

Explanation / Answer

A) Workdone by the spring on block = 0.5*k*x^2 (here k is spring constant and x is comression of the spring.)

= 0.5*170*(2.4*10^-2)^2

= 0.049 J

B) Apply conservation of energy

final kinetic energy of the block = initial elastic pitential energy of the spring.

0.5*m*v^2 = 0.5*k*x^2

v = x*sqrt(k/m)

= 2.4*10^-2*sqrt(170/4.1)

= 0.15 m/s

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