1-Suppose the moon were held in its orbit not by gravity but by a massless cable

Question

1-Suppose the moon were held in its orbit not by gravity but by a massless cable attached to the center of the earth.

Part A

What would be the tension in the cable? Use the table of astronomical data inside the back cover of the textbook.

Express your answer to three significant figures and include the appropriate units.

2-The weight of passengers on a roller coaster increases by 54 % as the car goes through a dip with a 40 m radius of curvature.

Part A

What is the car's speed at the bottom of the dip?

Express your answer to two significant figures and include the appropriate units.

3- You've taken your neighbor's young child to the carnival to ride the rides. She wants to ride The Rocket. Eight rocket-shaped cars hang by chains from the outside edge of a large steel disk. A vertical axle through the center of the ride turns the disk, causing the cars to revolve in a circle. You've just finished taking physics, so you decide to figure out the speed of the cars while you wait. You estimate that the disk is 6 m in diameter and the chains are 6 m long. The ride takes 10 s to reach full speed, then the cars swing out until the chains are 25 from vertical.

Part A

What is the car's speed?

Express your answer to one significant figure and include the appropriate units.

Explanation / Answer

Here
mass of earth = 5.9742 * 10^24 kg
mass of moon = 7.36 * 10^22 kg
distance between them = 384403 km, or 384403000 m.
G = 6.67300 * 10^-11 N

From Newton law of Gravitation states that any two bodies in the universe attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Fnet = G*M1*M2 /R^2
Fnet = 6.67300 * 10^-11 * 5.9742 * 10^24 * 7.36 * 10^22 / (384403000)^2

Fnet = 1.985 * 10^20 N

so the tension would be about 1.985 x 10^20 N applied equally across the cable.

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.