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Question: Newton's law of gravity says that the gravitational force between two bodies is attractive and given by
F = GMm/r2,
Where G is the gravitational constant, m and M are the masses of the two bodies, and r is the distance between them. This is the famous inverse square law. For a falling body, we take M to be the mass of the earth and r to be the distance from the body to the center of the earth. So, actually, r changes as the body falls, but for anything we can easily observe (say, a ball dropped from the Tower of Pisa), it won't change significantly over the course of the motion. Hence, as an approximation, it is reasonable to assume that the force is constant. According to Newton's second law, acceleration is caused by a force and Force = Mass × Acceleration.
(a) Find the differential equation for the position, s of a moving body as a function of time.
(b) Explain how the differential equation shows the acceleration of the body is independent of its mass.
The simple interest formula I=prt gives the interest earned on an investment of p dollars at interest rate r for a time of t years. How much does Leroy need to invest at a rate of 7% in order to earn $420 interest in 4 years?
a plane is flying horizontally at an altitude of 2 mi and a speed of 400 miles per hour passes directly over a stadium. find the rate at which the distance from the plane to the stadium is increasing when the plane is 4 mi away from the station?
a. Construct a 98% confidence interval for the difference between the population means of reaction times.
Solve the logarithmic equation algebraically.
what is the maximum length of the repeating section of the representation?
37% of women consider themselves fans of professional baseball. you randomly select six women and ask each if she considers herself a fan of professional baseball. (a) Construct a binomial distribution using n=6 and p=0.37
Palo Alto College is planning to construct a rectangular parking lot on land bordered on one side by a highway. The plan is to use 480 feet of fencing to fence off the other three sides. What dimensions should the lot have if the enclosed area is ..
After viewing the two (2) Lynda.com videos on company culture this week, identify at least three (3) elements of a strong company culture of trust and integrity. Explain why each of these elements is important, and provide an example of each that ..
question a backyard garden is shaped like a rectangle with a length that is 25ft longer than the width and a perimeter
jim is retaking statistics as part of his doctoral program. on his final in his ma program he received a 225. the class
(a) State the null and alternative hypotheses in this case using correct statistical notation. Define the variable used. Is this a one-tailed or two-tailed test? (b) State the null and alternative hypotheses using words instead of statistical notat..
"Temperature on the Fahrenheit scale is a linear function of temperature on the Celsius scale. Tendegrees Celsius equals 50 degrees
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