Problem 14: Two charged conducting marbles each have a of and exert a force F on

Question

Problem 14: Two charged conducting marbles each have a of and exert a force F on each other, If the between the marbles does not distance change, what happens to the force exerts on the other if the that each charge of both marbles is halved? Select One of the Following: (a) The force is unchanged. (b) The force is doubled. (c) The force is halved. (d) The force is four times as strong. (e) The force is a quarter of the original strength. Problem 15: Two point charges each experience an acceleration with a magnitude of a due to the electric force between them when they are separated by a distance equal to r. What accelerations do they experience when they are separated by a distance of r/2? Select One of the Following (a) a/4 (b) a/2 (c) 2a (d) 4a (e) a Problem 16: Two point charges have charge q and exert a force F on each other. If the distance between the charges does not change, what happens to the force that each exerts on the other if the charge of each point charge is doubled to 2g? Select One of the Following (a) The force is unchanged. (b) The force is doubled. (c) The force is halved. (d) The force is four times as strong. (e) The force is a quarter of the original strength.

Explanation / Answer

Answers:

Problem 14:

(e) The force is quarter of the original strength

Finitial = k q *q / r2

After changing charge on each to q/2

Fnew = k q *q / 4 r2

Fnew = 1/4 * Finitial

Problem 15:

(d) 4a

Finitial = m a = k q * q / r2

After changing distance between them to r/2

Fnew = k q *q / (r/2)2 = 4 * Finitial = m anew

That is,

m anew = 4 *m a

anew = 4 a

Problem 16

(d) The force is four times as strong.

Finitial = k q *q / r2

After changing charge on each to 2q

Fnew = k 2q *2q / r2

Fnew = 4 * Finitial

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