A horizontal spring attached to a wall has a force constant of k = 900 N/m. A bl

Question

A horizontal spring attached to a wall has a force constant of k = 900 N/m. A block of mass m = 1.70 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

potential energy stored=0.5kx2=0.5*900*6.6*6.6*10^-4=1.96 J

b)1.96+0=0.5mv2

v=1.52 m/s

c)1.96=0.5*900*3.3*3.3*10^-4 +0.5*1.7*v*v

v=1.315 m/s

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