Identical point charges (+30 ?C) are placed at the corners of a rectangle (4.0 m × 6.0 m). How much external energy is required to bring a charge of 55 ?C from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?

a. 22 J
b. 16 J
c. 13 J
d. 19 J
e. 8.0 J


b

Physics & Space Science

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Thin Lenses: A wrench is placed at 30 cm in front of a diverging lens with a focal length of magnitude 10 cm. What is the magnification of the wrench?

A. 0.25 B. -0.25 C. 0.67 D. -0.67 E. 4.0

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In a certain gas the molecules are 5.0 × 10?9 m apart on average, have a mean free path of 5.0×10?6 m, and have an average speed of 500 m/s. The rate at which a molecule has collisions with other molecules is about:

A. 10?11 s?1 B. 10?8 s?1 C. 1 s?1 D. 10^8 s?1 E. 10^11 s?1

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Biomagnetism has been detected in

A) bacteria. B) pigeons. C) wasps. D) humans. E) all of the above

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Which of the following frames would be an appropriate inertial reference frame for analyzing the effects on the earth of its gravitational interaction with the moon? In each case, answer A if the frame is appropriate, or B if it would be bad for this purpose. Except for the first case, assume the frames are nonrotating.

(a) A frame attached to the earth’s surface (b) A frame attached to the earth’s center of mass (CM) (c) A frame attached to the earth–moon system’s CM (d) A frame attached to the sun’s CM (e) A frame attached to the entire solar system’s CM

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