A uniform ball with diameter of 10 cm rolls without slipping on a horizontal tabletop. The moment of inertia of the ball about an axis through its center is 2.2 × 10-3 kg ? m2,
and the translational speed of its center is 0.45 m/s.
(a) What is its angular speed of the ball about its center of mass?
(b) What is the rotational kinetic energy of the ball?
(c) What is the ball's angular momentum about its center of mass?
(a) 9.0 rad/s (b) 0.089 J (c) 0.020 kg ? m2/s
You might also like to view...
Displacement: Consider a deer that runs from point A to point B. The distance the deer runs can be greater than the magnitude of its displacement, but the magnitude of the displacement can never be greater than the distance it runs.
A. True B. False
Two twin sisters, Gwen and Jackie, are both 20 years old in the year 2050. Suppose that Jackie makes the round-trip to Vega, which is 25 light-years away, at an average speed of 0.9999c. Which of the following correctly describes the situation when Jackie returns to Earth? (Ages in this problem refer to biological ages, that is, how much time has passed for each sister since she was born.)
A) It's the year 2100. Gwen (who stayed home) is 70 years old, but Jackie is only a little older than her age of 20 when she left. B) It's the year 2100 and both twin sisters are 70 years old. C) It's the year 2100. Gwen is 70 years old. Jackie is 19. D) According to Gwen, Jackie returns to Earth in the year 2100, but according to Jackie, she returns in the year 2051.
The luminosity of a star is determined by the star's ________ and ________.
A. diameter; surface temperature B. apparent brightness; surface temperature C. brightness; temperature D. distance; surface temperature E. diameter; distance
A satellite of mass M takes time T to orbit a planet. If the satellite had twice as much mass, the time for it to orbit the planet at the same altitude would be
A) 4T. B) 2T. C) T. D) T/2. E) T/4.