Two balls have their centers 3.0 m apart. One ball has a mass of 2.7 kg. The other has a mass of 4.5 kg. What is the gravitational force between them? Assume G = 6.67 × 10-11 N·m2/kg2 a. 1.3 x 10-11 N b. 9.0 x 10-11 N c. 2.7 x 10-10 N d. 9.0 x 10-10 NAccording to Kepler's laws, Don't forget about the age old question of What is luxury genes?
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an imaginary line from the Sun to a planet __________. a. sweeps out equal areas in equal time periods b. sweeps out larger areas the greater the planet's distance from the Sun than it would in the same time interval when closest to the Sun c. sweeps out smaller areas when the planet is closest to the Sun than it would in the same time interval when farthest from the Sun d. remains a constant length through the entire orbit of that planetAccording to Newton's law of universal gravitation in the case of a planet near the Sun, which of the following would cause the attractive force to be quadrupled? a. square the mass of the planet b. Double the distance from the sun c. Quadruple the distance from the sun d. Quadruple the mass of the planetIf you weigh 500.0 N on Earth's surface, how much would you weigh on the planet Jupiter? Jupiter has a mass of 1.90 × 1027 kg and a radius of 71.5 × 106 m. a. 1260 N b. 1.26 N c. 12.6 N d. 12600 NThe force of gravity between two objects is a. Inversely proportional to the distance between them. b. Directly proportional to the distance between them c. Inversely proportional to the square of the distance between them d. Directly proportional to the square of the distance between themTwo objects of equal mass are separated by a distance of 2 m. If the mass of one object is doubled, the force of gravity between the two objects will a. Be half as great b. Be twice as great c. Be one-fourth as great d. Be 4 times as greatThe distance between a spaceship and the center of the earth increases from one earth radius to three earth radii. What happens to the force of gravity acting on the spaceship? a. It becomes 1/9 as great b. It becomes 9 times as great c. It becomes 1/3 as great d. It becomes 3 times as greatA 100-kg astronaut lands on a planet with a radius 3- times that of earth and a mass 9 times that of earth. The force of gravity experienced by the astronaut will be a. 9 times the value on earth b. 3 times the value on earth c. The same as the value on earth d. 1/3 the value on earthAccording to Kepler’s third law of planetary motion if you double the distance of an orbiting planet as measured from the center of the sun, the period of the orbit will a. Double as well b. Increase by a factor of 22/3. c. Increase by a factor of 23/2. d. Remain the sameA steel beam of uniform cross-section and composition weight 100 N. What minimum force is required to lift one end of the beam off the ground? a. 25 N b. 50 N c. 250 N d. 500 NA non-uniform wooden beam 8-m long is placed on a pivot 2.0 m from the lighter end of the beam. The center of gravity of the beam is located 2.0 m from the heavier end. If placing a 500 N weight on the lighter end of the beam balances the beam, what must be the weight of the beam? a. 125 N b. 250 N c. 500 N d. 1000 NA massless plank has 2 objects placed on it resulting in the system being balanced. Determine the distance d of the 10-kg object. a. 0.5 m b. 1.0 m c. 1.5 m d. 2.0 mA point on the rim of a 0.30 m radius wheel has a tangential speed of 4.0 m/s. What is the tangential speed of a point 0.20 m from the center of the wheel? a. 1.0 m/s b. 1.3 m/s c. 2.7 m/s d. 8.0 m/sA figure skater with arms initially extended starts spinning on the ice at an angular speed of 3 rad/s. She them pulls her arms in close to her body. Which of the following results? a. A smaller angular speed b. A larger angular speed c. A greater angular momentum d. A smaller angular momentumThe earth’s gravity exerts no torque on a satellite orbiting the earth in an elliptical orbit. Compare the motion of the satellite at the point nearest the earth to the motion at the farthest from the earth. At these two points: a. The tangential velocities are the same b. The angular velocities are the same c. The angular momenta are the same d. The kinetic energies are the sameA simple pendulum has a period of 4.63 s at a particular point on the Earth’s surface where the acceleration due to gravity is 9.82 m/s2. The pendulum is moved to a different point and the period increases to 4.64 s. What is the value of g at this new location? a. 9.78 m/s2 b. 9.82 m/s2 c. 9.86 m/s2A simple pendulum with a length L has a period of 2 s. In order for the pendulum to have a period of 4 s we must a. Halve the length b. Quarter the length c. Double the length d. Quadruple the lengthIf a pendulum is 12 m long and has a frequency of 0.25 Hz, what will be the period of a second pendulum at the same location if the length is 3.0 m? a. 2.0 s b. 3.0 s c. 4.0 s d. 6.0 sA pendulum clock is losing time. How should the pendulum be adjusted? a. The weight of the bob should be decreased. b. The length of the pendulum should be decreased. c. The amplitude of the swing should be reduced.A 20 kg mass is attached to a wall by a spring. A 5.0 N force is applied horizontally to the mass so it is displaced 1.0 m from equilibrium. Once released, what is the approximate period of the motion? a. 2.0 s b. 6.0 s c. 13.0 s d. 16.0 sSuppose a 0.3 kg mass on a spring has been compressed 0.10 m has spring potential energy of 1.0 J. How much further must the spring be compressed to triple the spring potential energy? a. 0.3 m b. 0.2 m c. 0.17 m d. 0.07 mIf x = 0.5 sin (4.0πt), what is the frequency of oscillation? a. 0.5 Hz b. 4.0 Hz c. 2.0 Hz d. 4.0π Hz