To double the total energy of a mass oscillating at the end of a spring with amplitude A, we need to

A.

increase the angular frequency by .

B.
increase the amplitude by .

C.
increase the amplitude by 2.

D.
increase the angular frequency by 2.

E.
increase the amplitude by 4 and decrease the angular frequency by .


Answer: B

Physics & Space Science

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The Sun produces its energy through ________.

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What is the best evidence for an extremely massive black hole in the center of the Milky Way?

A) The orbits of stars in the center of the galaxy indicate that the presence of an approximately 4 million solar-mass object in a region no larger than our solar system. B) Huge amounts of x-rays are pouring out of the center of the galaxy. C) The center of our galaxy hosts a pulsar that is spinning so fast that it could only be a black hole. D) We observe stars vanishing in the center of the Galaxy as they are sucked into the black hole.

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Liquid sodium is to be heated from 500 K to 600 K by passing it at a flow rate of 5.0 kg/s through a 5-cm-ID tube whose surface is maintained at 620 K. What length of tube is required?

GIVEN

FIND
The length of tube (L) required
ASSUMPTIONS
Surface temperature is constant and uniform
SKETCH

PROPERTIES AND CONSTANTS
for liquid sodium at the average bulk temperature of 550 K

Physics & Space Science

The distance between two massive objects quadruples. By what factor has the gravitational force between them changed?

A) one eighth B) one sixteenth C) one fourth D) one half E) one third

Physics & Space Science