You place the spring vertically with one end on the floor. You then drop a 1.20-

Question

You place the spring vertically with one end on the floor. You then drop a 1.20-kg book onto it a height of 0.800 m above the top of the spring. Find patch the maximum distance the spring will be compressed. For the elevator of Example 7.9 (Section 7.2), what is the speed of the elevator after it has moved downward 1.00 m from point 1 in Fig. 7.17? When the elevator is 1.00 m below to the point 1 in Fig. 7.17, what is its acceleration? A 2.50-kg mass is pushed against a horizontal spring of 7.31 force constant 25.0 N/cm on a frictionless air table. The spring is attached to the tabletop, and the mass is not attached to the spring in any way. When the spring has been compressed enough to store fro 11.5 J of potential energy in it, the mass is suddenly released from rest, Find the greatest speed the mass reaches. When does this fox occur? What is the greatest acceleration of the mass, and when does it occur? A 2.50-kg block on a horizontal floor is attached to a j horizontal spring that is initially compressed 0.0300 m. The spring has force constant 840 N/m. The coefficient of kinetic friction between the floor and the block is mu_k = 0.40. The block (and spring are released from rest, and the block slides along the

Explanation / Answer

here, mass = 2.5 kg

Spring constant K = 25/1 e-2 = 2500 N/m

so KE = EPE

0.5 mv^2 = 11.5

v^2 = 2*11.5/(2.5)

V = speed = 3.033 m/s

this occur at equiilibrium
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time period T = 2pi sqrt(m/K)

T = 2*3.14* sqrt(2.5/2500)

T = 0.198 secs

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freqwuncy f = 1/T = 1/0.198 = 5.05 Hz

accleration a = -W^2x

EPE = 0.5 kx^2 = 11.5

x^2 = 11.5*2/2500

x = 0.095 m

a = (2*3.14 * 5.05)^2 * 0.095

a = 95.53 m/s^2

this occur at equiilibrium

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