A space station is located in a gravity-free region of space. It consists of a large...

A space station is located in a gravity-free region of space. It consists of a large diameter, hollow thin-walled cylinder which is rotating freely about its axis. It is spinning at a speed such that the apparent gravity on the inner surface is the same as that on earth. The cylinder is of radius r and mass M. (a) What is the minimum total work which had to be done to get the cylinder spinning up to speed. (b) Radial spokes, of negligible mass, connect the cylinder to the centre of rotation. An astronaut, of mass m, climbs a spoke from the inner surface of the cylinder to the centre. What will be the fractional change in the apparent gravity on the surface of the cylinder? (c) If the astronaut now climbs halfway up a spoke and lets go, how far along the cylinder circumference from the base of the spoke will the astronaut hit the cylinder? Assume throughout that the astronaut is point-like

Solutions

Expert Solution

The cylinder is rotating such that centrepetal acceleration provided by the Normal on its surface is equal to the acceleration due to gravity of the Earth.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A space station has a large ring-like component that rotates to simulate gravity for the crew....

A space station has a large ring-like component that rotates to simulate gravity for the crew. This ring has a mass M = 2.1×10^5 kg and a radius of R= 86.0 m and can be modeled as a thin hoop. Before spinning up the ring section, crew members Dave and Frank dock their ships, each with mass m= 3.5×10^4 kg on two docking ports located on opposite sides of the center of the ring. The docking ports are located r...

Is there gravity in space? Explain why? If an astronaut leaves his air-filled space station and...

Is there gravity in space? Explain why? If an astronaut leaves his air-filled space station and takes his guitar out into space on a spacewalk, another astronaut will not be able to hear the sound guitar as he plays it. Why? Moon's radius distance from the centre of the Earth is given by ‘R’. If this radius is increased to 1.5 times ‘R’, how would this change affect the magnitude of gravitational force of the Earth on the Moon? How...

A space station consists of three modules, connected to form an equilateral triangle of side length...

A space station consists of three modules, connected to form an equilateral triangle of side length 82.0 m. Suppose 100 people, with an average mass of 75.0 kg each, live in each capsule and the mass of the modules is negligible compared to the mass of the people. If everyone went to the top left module for a parade what would be the change in position of (a) the center of mass of the station and (b) top left module,...

The magnetic flux density in a region of free space is given by B = −x2...

The magnetic flux density in a region of free space is given by B = −x2 ax + 2y3 ay − 2z az T. Find the total force on the rectangular loop shown which lies in the plane y = 0 and is bounded by x = 1, x = 3, Z= 2, and Z= 5, all dimensions in cm. The current is 30 ampere in anticlockwise direction.

Two astronauts are on a space station preparing for a mission to Mars. The space station...

Two astronauts are on a space station preparing for a mission to Mars. The space station is powered by the combustion of a mixture of gases released from the high pressure container in which they are both contained. When not in use, the high pressure gas canister is stored in the far corner of the station away from the crew. One of the two gases possesses a high molecular weight, has a strong foul odor but is harmless to humans...

A solid S occupies the region of space located outside the sphere x2 + y2 +...

A solid S occupies the region of space located outside the sphere x2 + y2 + z2 = 8 and inside the sphere x2 + y2 + (z - 2)2 = 4. The density of this solid is proportional to the distance from the origin. Determine the center of mass of S. Is the center of mass located inside the solid S ? Carefully justify your answer.

The Wellington Plaza Hotel is located close to the main railway station in a large regional...

The Wellington Plaza Hotel is located close to the main railway station in a large regional city. Its main client base is business people visiting the city for work-related purposes. The second-largest group of clients consists of groups of (mainly) women visiting the city for its great shopping. All major department stores have a presence in the city and there are a number of specialty shops and factory outlets. Another large group of clients are groups of (mainly) men visiting...

Your spaceship has docked at a space station above Mars. The temperature inside the space station...

Your spaceship has docked at a space station above Mars. The temperature inside the space station is a carefully controlled 24 ∘C at a pressure of 735 mmHg . A balloon with a volume of 515 mL drifts into the airlock where the temperature is -83 ∘C and the pressure is 0.120 atm . What is the final volume, in milliliters, of the balloon if n remains constant and the balloon is very elastic?

13. Imagine a large inland sea located in a semi-desert region that supports a booming fishing...

13. Imagine a large inland sea located in a semi-desert region that supports a booming fishing and shipping trade. Through various lines of research, the following facts about this sea have been uncovered: . e. Thirty years ago, upstream irrigation systems were introduced to supply surrounding farms. a. About twenty years ago, the water level of the sea began to drop noticeably. Today, over half the water volume has been lost. b. Salt content of this inland sea has nearly...

You are a junior space cadet on an interstellar space station. Your job is to launch...

You are a junior space cadet on an interstellar space station. Your job is to launch a long distance spacecraft. The mass of the spacecraft without any fuel is 1217 kg. This mass is often called dry mass. The rocket engine of the craft can exhaust hot gas at a speed of 2.26 km/s relative to the space craft. How much rocket propellant does the craft need, if you want the craft to reach a final speed of 5.51 km/s...

Subjects