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 = 1.30 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 = 5.20 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 5.20 cm from equilibrium. 1.22 J Correct: Your answer is correct.

(b) Find the speed of the block as it passes through the equilibrium position. 1.56m/s Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations.

(c) What is the speed of the block when it is at a position xi/2 = 2.60 cm? 1.36 m/s Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations.

****PLEASE HELP ME ON B AND C*******

Explanation / Answer

b) using conservation of energy

E = 1/2 mV^2 = 1/2 kxm^2 = 1/2 *900*0.052^2

V = sqrt(900/1.30)*0.052 = 1.368 m/s

c) E = 1/2 mv^2 +1/2 kx^2 = 1/2 kxm^2

V = sqrt( k/m*(xm^2 -x^2)) = sqrt(900/1.3*(0.052^2 -0.026^2))

=  1.185 m/s

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