Question

Determine which of the nine statements below are true. Thanks!!! (the statements are in the comment section)

Answer 1

1. On a roller coaster ride, more massive occupants experience smaller accelerations when going through loops.
2. If several objects were tied to a string and then twirled in a circle, then the objects which are further from the center of the circle experience the smallest acceleration.
3. On the Cliff Hanger ride (barrel ride) at Great America, the occupants do not slide down the wall of the barrel because they are being pushed outwards away from the center of the barrel.
4. The orbital velocity of a satellite about the Earth is dependent upon the mass of the satellite.
5. Astronauts on the space shuttle feel weightless because the gravitational acceleration at that distance from the Earth is much, much less than on the Earth.
6. If the sun's mass were to shrink to the size of a black hole ( a few kilometers in diameter), then the orbits of the planets would still not be deviated from their current paths.
7. Gravitational forces act between two students in a classroom. The reason that the students do not feel these forces is because they balance each other out in accordance with Newton's third law.
8. The force of gravity at a location two Earth radii above the surface of the Earth is one-ninth the size as it is on the surface of the Earth.
9.A bucket of water is tied to a string and twirled in a circle in a vertical plane. The string is most likely to break (if it breaks) at its lowest position.

Answer 2

1. F. People have same accelerations, v^2/r and g, but greater forces because these are multiplied by their masses.

2. F. All on the string have same angular velocity, w, but those farther out from the center have the greater centripetal acceleration, r w^2. w is omega.

3. F. Centripetal acceleration/force pushes them to the wall, but friction keeps them from sliding down it.


4. F. mv^2/r = mMG/r^2 and the m (satellite mass) cancels out.

5. F? Weightless when orbiting due to balance of gravity and mv^2/r, but nearly weightless far from earth as 1/r^2 decreases gravity to near zero.

6. T? We can treat the sun as a point mass for predicting the orbits. There may be some subtle relativistic effects I am not familiar with.

7. F. Gravity between persons too small to be noticed.

8. T. Inverse square law of gravitation, (1/r)^2 vs. (1/3r)^2 . 9:1 ratio.

9. T. At the lowest point, the string must both support mv^2/r and mg.

Answer 3

awesome thank you so much!!!!