A baseball pitcher, loosening up his arm before a game, tosses a 0.140-kg ball using only the rotation of his forearm, 0.290 m in length, to accelerate the ball. If the ball starts at rest and is released with a speed of 24.0 m/s in a time of 0.450 s, what is the average angular acceleration of the arm and ball?
a. 3.13 rad/s2 b. 37.2 rad/s2
c. 15.5 rad/s2 d. 184 rad/s2
e. 25.7 rad/s2
d
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A 5.00-kg ball is hanging from a long but very light flexible wire when it is struck by a 1.50-kg stone traveling horizontally to the right at 12.0 m/s
The stone rebounds to the left with a speed of 8.50 m/s, and the ball swings to a maximum height h above its original level. The value of h is closest to A) 3.69 m. B) 0.0563 m. C) 1.93 m. D) 1.10 m. E) 2.20 m.
According to Einstein's equivalence principle, which of the following cannot be distinguished from a system accelerating with uniform acceleration in the presence of no gravity by any measurement within the system?
A) a system moving with constant velocity in the presence of no gravitational force B) a system that only contains massless objects C) a system that is not accelerating, but is subject to a uniform gravitational acceleration D) a system that is moving at the speed of light E) a system in free fall
The unified model describes active galactic nuclei using
a. a super massive black hole at the center of a normal spiral galaxy. b. a super massive black hole surrounded by an accretion disk and dense disk of gas. c. an accretion disk around a neutron star. d. gravitational lenses to intensify the radiation coming from them. e. different lines of sight toward and dwarf irregular galaxy.
Energy Conservation With Nonconservative Forces: A heavy sled and a light sled, both moving horizontally with the same kinetic energy, suddenly slide onto a rough patch of snow and eventually come to a stop. The coefficient of kinetic friction between the sleds and the rough snow is the same for both of them. Which of the following statements about these sleds are correct? (There could be more than one correct choice.)
A. Both sleds will slide the same distance on the rough snow before stopping. B. The heavy sled will slide farther on the rough snow than the light sled. C. The light sled will slide farther on the rough snow than the heavy sled. D. On the rough snow, the change in kinetic energy will be the same for both sleds. E. The friction from the snow will do the same amount of work on both sleds.