Sunday, October 27, 2013

Newton HW etc.

I will collect this homework on Thursday.

1.  Review Kepler's laws.  Consider an asteroid with a 10 AU semi-major orbit. How long will it take to orbit the Sun?  

2.  Two bodies in space are separated by a certain distance.  They experience a gravitational force.  If their distance is increased to five times as great, how will the force change exactly?

3.  Consider an object in freefall.  If released from rest, how fast will it be traveling after 3.5 seconds, assuming that it was dropped near the earth surface?  How far can it fall in this time?  It will be helpful to recall the freefall distance formula:  d = 0.5 gt^2

4.  Why is it harder to breathe at high altitudes?  What does this have to do with gravity?  How does boiling point and cooking time (say, for Mac and cheese) change at high altitudes?

5.  Distinguish between weight and mass,

6.  Find your mass in kg.

7.  Now find your weight in newtons.

8.  How is g different on the Moon?  On Mars?

9.  Why exactly do you suppose the heliocentric system met with such resistance?  Forget about the religious aspect for a moment.  Why would it be difficult to convince folks of its correctness?





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