iscms/mod/ibis/view.php?id 3378473 Ys 1061-002 Spring17-ESKANDARI I Activities a

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iscms/mod/ibis/view.php?id 3378473 Ys 1061-002 Spring17-ESKANDARI I Activities and Due Dates I HW06: Work and Kinetic Energy 3/21/2017 11:55 PM S77 8/100 G 3/15/2017 o6:27 PM Grad Print Calculator Periodic Table estion 13 of 18 Sapling Learning A block of mass m a 2.63 kg is attached to a spring which is resting on a horizontal frictionless table. The block is pushed into the spring, compressing it by 5.00 m, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x 0 m. The graph shows the component of the force (in N) exerted by the spring on block the position of the block (in m) relative to Use the graph to answer the following questions. How much work is done by the spring in pushing the block from its initial position at x E-5.00 to m? Fx (N) What is the speed of the block when it reaches 2 x 2.86 m? m/s x (m) What is the maximum speed of the block? A e 8 Give up view solution Check Answer e Next JExt Previous about us careers partners privacy policy terms of use contact us help

Explanation / Answer

force constant K = F/x = 6/5

K = 1.2 N/m

work done W = (1/2)*K*(x12 - x22) = (1/2)*1.2*(52 - 2.862)

W = 10.092 J

b)

work done W = (1/2)mv2

v2 = 2W/m = 2*10.092/2.63

v = 2.77 m/s

c)

conservation of energy

(1/2)KA2 = (1/2)mvmax2

vmax = A*sqrt(K/m) = 5*sqrt(1.2/2.63)

vmax = 3.377 m/s

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