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Chapter 8: Q.9 (page 199)

Suppose the moon were held in its orbit not by gravity but by a massless cable attached to the center of the earth. What would be the tension in the cable? Use the table of astronomical data inside the back cover of the book

Short Answer

Expert verified

The tension in the cable isFc=2.01脳1020N.

Step by step solution

01

Given Information

From the table on the back cover of book Astronomical Data we can find that the value of the moon we needed.

mmoon=7.36脳1022kgdfrom earth=r=3.84脳108kmperiod=t=27.3days=2,358,720s
02

Explanation

Fc=mv2rFc=m(r蝇)2rFc=mr蝇2Fc=mr2蟺t2Fc=4蟺2mrt2

Fc=4蟺27.36脳1022kg3.84脳108km(2,358,720s)2

Fc=2.01脳10N
03

Final Answer

The tension in the cable isFc=2.01脳10N.

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A 500g model rocket is on a cart that is rolling to the right at a speed of 3.0m/s. The rocket engine, when it is fired, exerts an8.0N vertical thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is 20m above the ground. At what horizontal distance left of the hoop should you launch?

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