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A 0.35 kg point mass moving on a frictionless horizontal surface is attached to a rubber band whose other end is fixed at point P. The rubber band exerts a force F = bx toward P, where x is the length of the rubber band and b is an unknown constant. The mass moves along the dotted line. When it passes point A, its velocity is 3.5 m/s directed as shown. The distance AP is 0.6 m and BP is 1.0 m.
(a) Find the speed of the mass at points B and C.
(b)Find b
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A 10.60 weather rocket generates a thrust of 220. The rocket, pointing upward, is clamped to the top of the vertical spring. The bottom of the spring, whose spring constant is 450, is anchored to the ground.
An archer pulls her bow string back 0.40m by exerting a force that increases uniformly from zero to 25 N. How much work does the archer do in pulling back the bow.
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Two bars of identical mass are at 29 °C. One is made from glass and the other from another substance. The specific heat capacity of glass is 840 J/ (kg • C°).
When the electric power was turned off, the electric motor originally running at 1800 rpm comes to rest in 15.0 s. Find out the angular acceleration, the angular velocity at the end of 5.0 s, and the total angle turned through in 15.0 s.
A 1 mL syringe has an inner diameter of 4.0 mm, a needle inner diameter of 0.220 mm, and a plunger pad diameter (where you place your finger) of 1.20cm.
Three point charges are arranged along the x axis. Charge q1= -4.70 nC is located at x= 0.200 m and charge q2 = 2.20 nC is at x = -0.340 m. A positive point charge q3 is located at the origin.
An alpha particle with kinetic energy 17 MeV makes a head-on collision with a lead nucleus at rest. What is the distance of closest approach of two particles.
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A bucket of water is whirled in a vertical circle of radius 90cm,What is the least speed that will keep the water from falling out.
An open-pit coal mine consumes 96 hectares of land, down to the depth of 26 m, each year. What volume of earth, in cubic kilometres, is removed in this time.
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