AP® Physics C
1987 Free Respon Questions
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原本大学微言
1987M1. An adult exerts a horizontal force on a swing that is suspended by a rope of length L, holding it at an angle with the vertical. The child in the swing has a weight W and dimensions that are negligible compared to L. The weights of the rope and of the at are negligible. In terms of W and , determine
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a. the tension in the rope;
b. the horizontal force exerted by the adult.
The adult releas the swing from rest. In terms of W and determine
c. the tension in the rope just after the relea (the swing is instantaneously at rest);
d. the tension in the rope as the swing pass through its lowest point.
1987M2. The above graph shows the potential energy U(x) of a particle as a function of i
路飞英文ts position x.
a. Identify all points of equilibrium for this particle.
Suppo the particle has a constant total energy of 4.0 joules, as shown by the dashed line on the graph.
b. Determine the kinetic energy of the particle at the following positions
i. x = 2.0 m
ii. x = 4.0 m
c. Can the particle reach the position x = 0.5 m? Explain.
d. Can the particle reach the position x = 5.0 m? Explain.
e. On the grid below, carefully draw a graph of the conrvative force acting on the particle as a function of x, for 0 < x < 7 meters.
1987M3. A l.0kilogram object is moving horizontally with a velocity of 10 meters per cond, as shown above, when it makes a glancing collision with the lower end of a bar that was hanging vertically at rest before the collision. For the system consisting of the object and bar, linear momentum is not conrved in this collision, but kinetic energy is conrved. The bar, which has a length l of 1.2 meters and a mass m of 3.0 kilograms, is pivoted about the upper end. Immediately after the collision the object moves with speed v at an angle relative to its original direction. The bar swings freely, and after the collision reaches a maximum angle of 90° with respect to the vertical. The moment of inertia of the bar about the pivot is Ibar = ml²/3 Ignore all friction.
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a. Determine the angular velocity of the bar immediately after the collision.
b. Determine the speed v of the lkilogram object immediately after the collision.
一溜烟c. Determine the magnitude of the angular momentum of the object about the pivot just before the collision.
d. Determine the angle .
1987E1. A total charge Q is distributed uniformly throughout a spherical volume of radius R. Let r denote the distance of a point from the center of the sphere of charge. U Gauss's law to derive an expression for the magnitude of the electric field at a point
a. outside the sphere, r > R;
b. inside the sphere, r < R.
The electrostatic potential is assumed to be zero at an infinite distance from the sphere.
c. What is the potential at the surface of the sphere?
d. Determine the potential at the center of the sphere.
