10 questions

18 minutes

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1. A stopper of mass M is tied to a string of length R and swings around horizontally in uniform circular motion with a velocity of v when acted on by a force of F.

What is the period of the stopper?

2. A stopper of mass M is tied to a string of length R and swings around horizontally in uniform circular motion with a velocity of v when acted on by a force of F.

What is the power developed by the force?

(C) Mv^{2}

3. Two objects, A and B, have equal charge and equal mass. Neither body is in motion because the gravitational and electrostatic forces between them are equal. If the mass of Object A is halved, equilibrium will be maintained if

4. Which configuration of battery and resistors will create a circuit with the greatest current?

5. Which of the following changes to a circuit will always bring about an increase in the current?

1.

If R_{1} were to burn out, the current coming out from the battery would

2. Wire #1 has three times the length and twice the diameter of Wire #2. If both wires are made of the same material and if R_{1} is the resistance of Wire #1 and R_{2} is the resistance of Wire #2, then which of the following is true?

3.

A Wheatstone bridge (diagram above) is a configuration of resistors and a sensitive current meter, called a galvanometer, that is used to determine the resistance of an unknown resistor. In the Wheatstone bridge shown here, find the value of R_{x} such that the current through galvanometer G is zero.

4. If T, C, M, and L represent the dimensions of time, charge, mass, and length, respectively, which of the following represents the correct dimensions for the permittivity of free space (ε_{0})?

5.

In the figure above, four charges are arranged. If the magnitudes of all the charges q are all the same and the distance R between them is as shown above, what is the magnitude of the net force on the bottom right charge in terms of q, R, and k (where )?