A mass is connected by a light string that passes over a pulley of mass M to a mass as shown in the figure. Both masses move vertically and there is no slippage between the string and the pulley. The pulley has a radius of 20.0 cm and a moment of inertia of 1?2 If is 3.00 kg, is 6.00 kg and M is 4.00 kg, then what is the tension in the string that is attached to mass

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A. 20.8 N

B. 27.4 N

C. 30.2 N

D. 37.4 N

E. 43.5 N

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D. 37.4 N

Physics & Space Science

A star cluster of age 100 million years contains no type O stars

Indicate whether the statement is true or false

If an electric field is applied to a metal

a. very few electrons are excited into the conduction band. b. electrons having energies near the Fermi energy require only a small amount of additional energy from the applied field to reach nearby empty energy states. c. electrons having energies near the bottom of the band require only a small amount of additional energy from the applied field to reach nearby empty energy states. d. the principal mode of conduction is through the motion of holes in the filled part of the band. e. the Fermi energy Ef becomes equal to the applied electric field E.

A heat engine absorbs 2 500 J of heat from a hot reservoir and expels 1 000 J to a cold reservoir. When it is run in reverse, with the same reservoirs, the engine pumps 2 500 J of heat to the hot reservoir, requiring 1 500 J of work to do so. Find the ratio of the work done by the heat engine to the work done by the pump. Is the heat engine reversible?

a. 1.0 (no) b. 1.0 (yes) c. 1.5 (yes) d. 1.5 (no) e. 2.5 (no)

A long wire is known to have a radius greater than 4.0 mm and to carry a current uniformly distributed over its cross section. If the magnitude of the magnetic field is 0.285 mT at a point 4.0 mm from the axis of the wire and 0.200 mT at a point 10 mm from the axis, what is the radius of the wire?

a. 4.6 mm b. 7.1 mm c. 5.3 mm d. 12 mm e. 10 mm