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 theExplanation / 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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