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need help with #2 a-e please. thank you. 2. A compressed spring, with spring con

ID: 3308563 • Letter: N

Question

need help with #2 a-e please. thank you.

2. A compressed spring, with spring constant 1900 N/m, is sitting on a level, frozen pokes through the ice, and the other touches a 3.5-kg, rectangular block of ice The spring is compressed a distance of 15 cm. The ice is very smooth and is slightly wet, making it, for all practical purposes, frictionless. (a) What is the potential energy of the spring when it is compressed? (b) The spring is released, which then pushes the block across the ice. What is the

Explanation / Answer

a) Potential Energy stored in the spring (PE) = 0.5*k*x^2 = 0.5*1900*0.15^2 = 21.375 J


b) By conservation of energy

PE=Kinetic Energy(KE) = 21.375 J

c) Speed of the block

= 0.5*m*v^2 = 21.375

Solve for v
v = sqrt(21.375/(0.5*m)) = sqrt(21.375/(0.5*3.5)) = 3.5 m/s


d) Applying conservation of energy

Gravitational PE = 21.375 J

e) Work done by gravity=m*g*h = 21.375
height (h) = 21.375/(m*g) = 21.375/(3.5*9.81) = 0.622 m

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