An astronaut orbits the earth in a space capsule whose height above the earth is equal to the earth's radius. How does the weight of the astronaut in the capsule compare to her weight on the earth?
A)It is equal to her weight on earth.
B)It is equal to one-half of her weight on earth.
C)It is equal to one-third of her weight on earth.
D)It is one-fourth her weight on earth.
E)It is equal to one-sixteenth her weight on earth.
D
Object A is twice the mass of object B. Both objects are dropped off a cliff and fall under the sole influence of earth’s gravity near its surface. Compare the acceleration of A to the acceleration of B.
A. Acceleration of A is four times that of B.
B. Acceleration of A is twice that of B.
C. Acceleration of A is half that of B.
D. Acceleration of A is equal to that of B.
D. Acceleration of A is equal to that of B.
What is the stopping distance of a car with initial speed 10.0 m/s that decelerates uniformly at a rate of 2.0 m/s2 ?
25 m
Which of the following statements applies to the motion of a ball rising and then falling in free fall?
I. The ball has constant acceleration as it moves upward.
II. The ball has constant acceleration at the top of its path.
III. The ball has constant acceleration as it moves downward.
a) I only
b) III only
c) I and III
d) I, II, and III
d) I, II, and III
A ball of mass M at the end of a string is swung in a horizontal circular path of radius R at constant speed V. Which combination of changes would require the greatest increase in the centripetal force acting on the ball?
(1) doubling V and doubling R
(2) doubling V and halving R
(3) halving V and doubling R
(4) halving V and halving R
(2) doubling V and halving R
In which of the following situations would an object be accelerated?
I. It moves in a straight line at constant speed.
II. It moves with uniform circular motion.
III. It travels as a projectile in a gravitational field with negligible air resistance.
(A) I only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III
D
On the surface of Earth, a spacecraft has a mass of 2.00 × 104 kilograms. What is the mass of the spacecraft at a distance of one Earth radius above Earth’s surface?
2.00 × 104 kilograms
For which one of the following situations will the path length equal the magnitude of the displacement?
A)A jogger is running around a circular path.
B)A ball is rolling down an inclined plane.
C)A train travels 5 miles east; and then, it stops and travels 2 miles west.
D)A ball rises and falls after being thrown straight up from the earth's surface.
E)A ball on the end of a string is moving in a vertical circle.
B
Two identical bowling balls A and B are each dropped from rest from the top of a tall tower. Ball A is dropped 1.0 s before ball B is dropped, but both balls fall for some time before ball A strikes the ground. After ball B is dropped, but before ball A strikes the ground, which of the following is true?
(A) The distance between the two balls decreases.
(B) The velocity of ball A increases with respect to ball B.
(C) The velocity of ball A decreases with respect to ball B.
(D) The distance between the two balls remains constant.
(E) The distance between the two balls increases
E