Which of the following statements is a true statement?
A) A vector can have positive or negative magnitudes.
B) A vector's magnitude cannot be more than the magnitude of one of its components.
C) A vector's magnitude cannot be less than the sum of the magnitude of its components.
D) If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component.
E) The magnitude of a vector cannot be zero unless all of its components are zero.
E
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Velocity Addition: Three spaceships A, B, and C are in motion as shown in the figure. The commander on ship B observes ship C approaching with a relative velocity of 0.82c. The commander also observes ship A, advancing in the rear, with a relative velocity of 0.50c. What is the speed of ship C as measured by the captain of ship A?
A. 0.94c B. 0.23c C. 2.2c D. 0.54c E. 1.3c
A 4.0 kg mass is moving in a circular path of radius 2.5 m with a constant tangential velocity of 5.0 m/sec. The centripetal force on the mass is
A. 20 N. B. 25 N. C. 35 N. D. 40 N. E. 45 N.
A model rocket sits on the launch pad until its fuel is ignited, blasting the rocket upward. During the short time of blast-off, as the ignited fuel goes down, the rocket goes up because:
a. the fuel pushes on the ground. b. air friction pushes on the escaping fuel. c. the downward force of gravity on the rocket is less than the rate of downward momentum increase of the fuel. d. of none of the above reasons.
The transit method allows us in principle to find planets around
A) only a small fraction of stars that have planets. B) all stars that have planets of any kind. C) only stars of about the same mass and size as our Sun. D) only stars located within about 100 light-years of Earth.