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Chapter 10: Q.15 (page 256)
How far must you stretch a spring with k = 1000 N/m to store 200 J of energy?
As the all we solve above from that we have , the spring's stretched distance is.
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In a physics lab experiment, a compressed spring launches a metal ball at a angle. Compressing the spring causes the ball to hit the floor below the point at which it leaves the spring after traveling horizontally. What is the spring constant?
A system in which only one particle can move has the potential energy shown in . What is the y-component of the force on the particle at and ?
In Problems through you are given the equation used to solve a problem. For each of these, you are to
a. Write a realistic problem for which this is the correct equation.
b. Draw the before-and-after pictorial representation.
c. Finish the solution of the problem.
Protons and neutrons (together called nucleons) are held together in the nucleus of an atom by a force called the strong force. At very small separations, the strong force between two nucleons is larger than the repulsive electrical force between two protons—hence its name. But the strong force quickly weakens as the distance between the protons increases. A well-established model for the potential energy of two nucleons interacting via the strong force is
where x is the distance between the centers of the two nucleons, x0 is a constant having the value , and
Quantum effects are essential for a proper understanding of nucleons, but let us innocently consider two neutrons as if they were small, hard, electrically neutral spheres of mass and diameter . Suppose you hold two neutrons apart, measured between their centers, then release them. What is the speed of each neutron as they crash together? Keep in mind that both neutrons are moving.
You have a ball of unknown mass, a spring with spring constant , and a meter stick. You use various compressions of the spring to launch the ball vertically, then use the meter stick to measure the ball’s maximum height above the launch point. Your data are as follows:
Use an appropriate graph of the data to determine the ball’s mass.
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