Chapter 5, Problem 10Q

(a)

To determine

The fall of the objects.

Answer to Problem 10Q

Solution:From the Astronaut’s point of view, the rock moves with a curvilinear trajectory. From the point of view of an observer outside the cylinder, a rock is observed that falls in a rectilinear trajectory (tangential to the cylinder) until it reaches the floor.

Explanation of Solution

Given info:Astronauts walking on the inside surface of the spaceship with the shape of the cylindrical shell that rotates.

Suppose that the Astronaut releases a rock inside the rotating cylinder.From the Astronaut’s point of view, the rock moves with a curvilinear trajectory as the Astronaut moves away from it. From the point of view of an observer outside the cylinder, a rock is observed that falls in a rectilinear trajectory (tangential to the cylinder) until it reaches the floor.

Conclusion:

From the Astronaut’s point of view, the rock moves with a curvilinear trajectory. From the point of view of an observer outside the cylinder, a rock is observed that falls in a rectilinear trajectory until it reaches the floor.

(b)

To determine

The force felt on the feet.

Answer to Problem 10Q

Solution:The force we feel on our feet would be the same as Normal Force on Earth ifsatisfies the relation $\frac{v^2}{R}=9.8{\text{ m/s}}^2$

Explanation of Solution

Given info:Astronauts walking on the inside surface of the spaceship with shape of cylindrical shell that rotates.

Inside the rotating cylinder, the Astronaut experiences a centripetal force in the direction of the center of the cylinder. This force is similar to the force experienced by the astronaut himself on the surface of the Earth, this force is known as normal force. If the speed ( $v$ ) of the cylinder and its radius ( $R$ ) satisfy the relation $\frac{v^2}{R}=9.8{\text{ m/s}}^2$ then the force on our feet would be the same as on Earth.

Conclusion:

The force we feel in our feet would be the same as Normal Force on Earthifsatisfies the relation $\frac{v^2}{R}=9.8{\text{ m/s}}^2$

(c)

To determine

Any other aspects of gravity that can be thought of.

Answer to Problem 10Q

Solution:

Playing Basketball inside the cylinder would be totally different than on the ground.

Explanation of Solution

Given info:Astronauts walking on the inside surface of the spaceship with the shape of the cylindrical shell that rotates.

Playing Basketball inside the cylinder would be totally different than on the ground, on Earth the trajectory of a ball that is thrown into the basket is parabolic, while inside a cylinder the trajectory would be different and changes according to the location of the player and the basket inside the cylinder, either near or far from its center.

Conclusion:

The trajectory changes according to the location of the player and the basket.