9. An object is subject to a restoring force of where is the displacement of the

Question

9. An object is subject to a restoring force of where is the displacement of the object from its equilibrium position. How much work is done to move the object from to cm? A) 6.22 J B) 0.24 J C) 2.5 x 105 J D) 1.19 x 103 J E) 0.12 J

Ev View 125% v Zoom InsertTable Chart TextShape Media Comment Collaborate Format Document Text Body* Style Layout More Font F-9.0N/m)x' where x is the displacement of the Trebuchet MS 9. An object is subject to a restoring force of object from its equilibrium position. How much work is done to move the object from x-0 to x - 48cm? 12 pt A) 6.22 J B) 0.24 J C) 2.5 x 10s J D) 1.19 x 103 J E) 0.12 J Character StylesNone* Alignment Spacing Lines Before Paragraph After Paragraph 10 pt Bullets & Lists None

Explanation / Answer

8. m = 0.101 g

phi = 5.57 deg

tension in thread = T

hence from force balance

2Tsin(phi) = mg

T = mg/2*sin(phi) = 0.101*10^-3*9.81/2*sin(5.57) = 0.005104 N

option B) 5.1*10^-3 N

9. F = 9x^3

restoring force

from x = 0 to x = 0.48 m

dW = Fdx = 9x^3dx

integrating

W = 9x^4/4 = 9(0.48^4)/4 = 0.11943936 J

option E) 0.12 J

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