1. A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.10 102 N/m that lies on a horizontal frictionless surface as shown in the figure below. The block is pulled to a position xi = 5.30 cm to the right of equilibrium and released from rest.
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(a) Find the the work required to stretch the spring.
_______ J
(b) Find the speed the block has as it passes through equilibrium.
_______ ms
7. A coat hanger of mass m = 0.246 kg oscillates on a peg as a physical pendulum as shown in the figure below. The distance from the pivot to the center of mass of the coat hanger is d = 18.0 cm and the period of the motion is T = 1.31 s. Find the moment of inertia of the coat hanger about the pivot.
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_______ kg · m2
IMAGE: http://www.webassign.net/serpse8/8-p-015…
(a) Find the the work required to stretch the spring.
_______ J
(b) Find the speed the block has as it passes through equilibrium.
_______ ms
7. A coat hanger of mass m = 0.246 kg oscillates on a peg as a physical pendulum as shown in the figure below. The distance from the pivot to the center of mass of the coat hanger is d = 18.0 cm and the period of the motion is T = 1.31 s. Find the moment of inertia of the coat hanger about the pivot.
IMAGE: http://www.webassign.net/sercp9/13-p-038…
_______ kg · m2
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a) W = ½kx² = ½*410*.053² = 0.5758 J
b) V = √[2W/m] = √[2*.5758/2.00] = 0.7588 m/s
a) W = ½kx² = ½*410*.053² = 0.5758 J
b) V = √[2W/m] = √[2*.5758/2.00] = 0.7588 m/s
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energy balance for spring compression ( approximate formula)
2) use the simple pendulum formula with m, cg h and g
2) use the simple pendulum formula with m, cg h and g
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