+ -11.75 points HRw108.P019.GO My Notes Ask Your Teacher The figure shows an 8.0

Question

+ -11.75 points HRw108.P019.GO My Notes Ask Your Teacher The figure shows an 8.00 kg stone resting on a spring. The spring is compressed 16.0 cm by the stone. (a) What is the spring constant? N/cm (b) The stone is pushed down an additional 30.0 cm and released. What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? GO Tutorial

Explanation / Answer

a) mg = kx

8*9.8 = k*0.16

k = 490 N/m

b) Potential enegry of the spring = 0.5kx^2

= 0.5*490*(0.16+0.3)^2

= 51.84 J

c) E = mgh = 8*9.8*0.3 = 23.52 J

d) maximum height = (0.3 + 0.16) = 0.46 m

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