A horizontal spring attached to a wall has a force constant of k = 760 N/m. A bl

Question

A horizontal spring attached to a wall has a force constant of k = 760 N/m. A block of mass m = 1.80 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below.

(a) The block is pulled to a position xi = 6.60 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.60 cm from equilibrium.
J

(b) Find the speed of the block as it passes through the equilibrium position.
m/s

(c) What is the speed of the block when it is at a position xi/2 = 3.30 cm?
m/s

Explanation / Answer

a)U=0.5kA^2=0.5*760*0.066^2=1.655J

b)Conserving energy,

0.5kA^2=0.5mv^2

v=sqrt(k/m)*A=1.356m/s

c)Conserving energy,

0.5kA^2=0.5kx^2+0.5mv^2

0.5*760*0.066^2=0.5*760*0.033^2+0.5*1.8*v^2

v=1.175m/s

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