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 = 1.10 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 = 6.20 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.20 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 = 3.10 cm?
m/s

Explanation / Answer

a) PE=1/2 kx^2 = 1/2*900*0.062^2 =1.7298J

b)KE at equilibrium=PE at extreme

1.7298=0.5mv^2

1.7298=0.5*1.1*v^2

v=1.77m/s

c) KE at 3.10 = PEmax-PE3.1

1/2*1.1*v^2= 1.7298-1/2*900*0.031^2

v=1.53m/s

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