Rotational Dynamics: A 375-g stone hangs from a thin light string that is wrapped around the circumference of a frictionless pulley with a moment of inertia of 0.0125 kg ? m2 and a radius of 26 cm. When the stone is released, the stone accelerates downward and the pulley rotates about its axis as the string unwinds.(a) What is the magnitude of the acceleration of the stone?(b) What is the tension in the string?
What will be an ideal response?
(a) 6.6 m/s2 (b) 1.2 N
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An initially uncharged hollow metallic sphere with radius of 5 cm has a small object with a charge of -10 µC carefully placed at the center of the sphere through a hole in the latter's surface. What charge resides inner surface of the sphere?
a. -10 µC c. +10 µC b. zero d. -4000 µC
A pipe of length L closed at one end is resonating at its fundamental frequency. Which statement is correct?
A) The wavelength is 4L and there is a displacement node at the pipe's open end. B) The wavelength is 4L and there is a displacement antinode at the pipe's open end. C) The wavelength is L and there is a displacement node at the pipe's open end. D) The wavelength is L and there is a displacement antinode at the pipe's open end.
Which of the following statements about Kepler's laws is false?
A) Kepler's laws provide mathematical descriptions of the motion of the planets. B) Kepler's first law states that planetary orbits are shaped as ellipses. C) Kepler's second law implies that when planets are closer to the sun, they move faster. D) Kepler's laws explain why planets with larger semi-major axes have much longer orbital periods.
Ideal Gas Law: A gas-filled vertical cylinder, closed at the bottom end, is fitted at the top with a piston that can move freely. The mass of the piston is 10.0 kg, and the initial height of the piston above the bottom of the cylinder is 25 cm. A mass of 8.0 kg is placed on the piston. What is the resulting height of the piston, assuming that the temperature of the ideal gas is kept constant?
A. 12 cm B. 13 cm C. 14 cm D. 15 cm E. 16 cm