Two identical steel balls, each of diameter 24.8 mm and moving in opposite directions at 4 m/s, run into each other head-on and bounce apart. prior to the collision, one of the balls is squeezed in a vise precise measurements are made of the resulting amount of compression. the results show that hooke's law is a fair model for the ball's elastic behavior. for one datum, a force of 25 kn exerted by each jaw of the vise results in a 0.5-mm reduction in the ball's diameter. the diameter returns to its original value when the force is removed. modeling the ball as a spring, find its spring constant.
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Afaulty model rocket moves in the xy-plane (the positive y direction is vertically upward). the rocket's acceleration has components ax(t) = ? t2 and ay(t) = ? ? ? t, where ? = 2.50 m/s4 , ? = 9.00 m/s2 , and ? = 1.40 m/s3 . at t = 0 the rocket is at the origin and has velocity ~v0 = v0x ? i + v0y ? j with v0x = 1.00 m/s and v0y = 7.00 m/s. (a) calculate the velocity and position vectors as functions of time. (b) what is the maximum height reached by the rocket? (c) sketch the path of the rocket. (d) what is the horizontal displacement of the rocket when it returns to y = 0?
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What is a possible explanation for a set of facts that can be tested by further investigations called
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Two identical steel balls, each of diameter 24.8 mm and moving in opposite directions at 4 m/s, run...
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