final-secC-vD

# A particle moves along the x axis its momentum is

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17. A particle moves along the x axis. Its momentum is graphed below as a function of time. p t 1 2 3 4 Rank the numbered regions according to the magnitude of the force acting on the particle, least to greatest. (a) 1, 3, 4, 2 (b) 2, 4, 3, 1 (c) 1, 4, 3, 2 (d) 1, 2, 3, 4 (e) 2, 3, 4, 1 4 18. A 3 kg-block, attached to a spring, executes simple harmonic motion according to x 2 cos p 50 t q where x is in meters and t is in seconds. The spring constant of the spring is: 19. Suppose we have three different uniform spheres, all pivoted on horizontal axes that are tangent to their surfaces. Sphere X has radius R and mass M . Sphere Y has radius R and mass 2 M . Sphere Z has radius 2 R and mass M . Rank the spheres according to their periods of oscillation, least to greatest. 8

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20. If a wheel turns with constant angular speed then: 21. You stand on a spring scale on the floor of an elevator. Of the following, the scale shows the highest reading when the elevator: (a) remains stationary (b) moves upward with decreasing speed (c) moves upward at constant speed (d) moves downward with decreasing speed 4 (e) moves downward with increasing speed 22. The diagram shows a plot of the potential energy as a function of x for a particle moving along the x -axis. U x a b c d e The points of stable equilibrium are: (a) b and d (b) only b 4 (c) only d (d) only a (e) only c 9
23. The displacement of an object oscillating on a spring is given by x p t q “ x m cos p ωt ` φ q . If the initial displacement is zero and the initial velocity is in the negative x direction, then the phase constant φ is, in radians: 24. The velocity of a particle moving along the x -axis changes from v i to v f . For which values of v i and v f is the total work done on the particle positive?

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