A horizontal spring attached to a wall has a force constant of k = 700 N/m. A bl

Question

A horizontal spring attached to a wall has a force constant of k = 700 N/m. A block of mass m = 1.60 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 = 5.00 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 5.00 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 = 2.50 cm?
m/s

Explanation / Answer

part A :

Potential energy PE = 0.5 Kx^2

PE = 0.5 * 700 * 0.05^2

PE = 0.875 Joules

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part B:

KE = PE = 0.5 m v^2

0.875 = 0.5* 1.6* v^2

v = 1.045 m/s

----------------------

0.5 k x^2 = 0.5 mv^2

v^2 = kx^2/m

v^2 = 700 * 0.025^2/1.6

V = 0.522 m/s

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