The acceleration due to gravity at the surface of Planet X is 10 m/s2 . What is the acceleration due to gravity at an altitude of 3 000 km above the surface of this planet?
a. 10 m/s2
b. 8.0 m/s2
c. 4.4 m/s2
d. More information is needed.
[Ques. 2] If a planet has a radius 16.0 greater than that of the Earth but has the same mass as the Earth, what is the acceleration due to gravity at its surface?
a. 8.45 m/s2
b. 1.57 m/s2
c. 10.0 m/s2
d. 7.28 m/s2
[Ques. 3] An Earth satellite is orbiting at a distance from the Earth's surface equal to one Earth radius (4 000 miles). At this location, the acceleration due to gravity is what factor times the value of g at the Earth's surface?
a. There is no acceleration since the satellite is in orbit.
b. 2
c. 1/2
d. 1/4
[Ques. 4] An object of mass 0.50 kg weighs 2.0 N when it is 1.0 106 m above the surface of Planet X. The radius of the planet is 4.0 106 m. What free-fall acceleration will the 0.50-kg object experience when at the surface of Planet X?
a. 4.8 m/s2
b. 2.0 m/s2
c. 4.0 m/s2
d. 6.3 m/s2
[Ques. 5] A roller coaster, loaded with passengers, has a mass of 2 000 kg; the radius of curvature of the track at the bottom point of the dip is 24 m. If the vehicle has a speed of 18 m/s at this point, what force is exerted on the vehicle by the track? (g = 9.8 m/s2)
a. 4.7E+4 N
b. 2.7E+4 N
c. 2.0E+4 N
d. 7.4E+3 N
[Ques. 6] A 0.30-kg rock is swung in a circular path and in a vertical plane on a 0.25-m-length string. At the top of the path, the angular speed is 12.0 rad/s. What is the tension in the string at that point?
a. 7.9 N
b. 16 N
c. 18 N
d. 83 N
[Ques. 7] A 0.650-kg object is swung in a circular path and in a vertical plane on a 0.500-m-length string. If the angular speed at the bottom is 8.00 rad/s, what is the tension in the string when the object is at the bottom of the circle?
a. 27.2 N
b. 20.8 N
c. 14.4 N
d. 6.37 N
[Ques. 8] What angular speed (in revolutions/second) is needed for a centrifuge to produce an acceleration of 1 000 g at a radius arm of 15.0 cm?
a. 40.7 rev/s
b. 75.4 rev/s
c. 81.4 rev/s
d. 151 rev/s
[Ques. 9] Consider a child who is swinging. As she reaches the lowest point in her swing:
a. the tension in the rope is equal to her weight.
b. the tension in the rope is equal to her mass times her acceleration.
c. her acceleration is downward at 9.8 m/s2.
d. none of the above.
[Ques. 10] At what speed will a car round a 52.0-m-radius curve, banked at a 40.0 angle, if no friction is required between the road and tires to prevent the car from slipping? (g = 9.80 m/s2)
a. 18.1 m/s
b. 22.6 m/s
c. 20.7 m/s
d. 43.6 m/s
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