math 117

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1.
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

1. The gravitational force between two large space ships in space may be expressed as

a. Solve the equation for r

b. Suppose that two large ships experience a force of 0.00667 Newtons when they are 10 meters apart, find the value of G that make the relationship valid.

c. Use the value of G you found in the previous question to determine how strong the force would be when the ships are

i. 100 meters apart
ii. 40 meters apart

1. The time (sec) it takes for an object to fall from a height of h(ft) is expressed by the following equation:

a. Solve this equation for t.

b. A penny dropped from the top of the Grand Canyon takes 19.4 seconds to hit the ground at the bottom of the canyon; how deep is the canyon?