Math Help: Cherry Blossom Height, Earth's Circumference & More!

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To determine the height of the cherry blossom tree, the time of 0.25 seconds can be used in free fall calculations. Eratosthenes' measurement of 6.5 degrees for the shadow difference can be compared to the modern value of 7 degrees to assess Earth's circumference. Jupiter's orbital period of 687 days translates to an angular velocity of approximately 0.524 degrees per day. The gravitational force between a 70 kg man and Earth at a height of 2 meters can be calculated using Newton's law of universal gravitation, and this can be compared to the force between the man and Jupiter. The discussion also touches on the context of the questions, indicating they are part of a survey rather than academic work.
jacksthomas44
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A little help?

A cherry blossom is seen falling from a tree. An astronomer with a stop watch times the blossom to fall for 0.25 seconds, how tall is the tree from which it fell?

Erastosthenes has measured the difference between the shadow at alexandria and syene to be 6.5 degrees, how does this compare to the modern value of the circumference of earth? (which is 7 degrees)

Jupiter takes 687.0 days to orbit the sun, what is the angular velocity in degrees per day? per hour?

A 70 kg man is standing on Earth at a height of 2 meters. What is the gravitational force between the man ane earth? how does this compare with the garvitational force between the man and Jupiter?
 
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No help until you show what you have done yourself.
 
ahh, ok sorry wasnt sure how it works.. this is not for a class but an survey here at work.. thanks for the reply.
 
Where do you work? An observatory maybe?
 
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