(a) Find the the work required to stretch the spring. J (b) Find the speed the b

Question

(a) Find the the work required to stretch the spring.

J

(b) Find the speed the block has as it passes through equilibrium.

m/s

A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.95 102 N/m that lies on a horizontal frictionless surface as shown in the figure below. The block is pulled to a position xi = 4.00 cm to the right of equilibrium and released from rest. (a) Find the the work required to stretch the spring. J (b) Find the speed the block has as it passes through equilibrium. m/s

Explanation / Answer

(a)

work rewquireed to strectch sapring is W = 0.5 kx_f^2 = (0.5)495 N/m (0.04 m)^2 = 0.396 J

(b)

speed at equlibrium point is

v= wA = sqrt k/m (A) = sqrt 495 N/m/2.0 kg (0.04 m = 0.629 m/s

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