Newton''s law of gravitation says that the magnitude f

Assignment Help Mathematics

Reference no: EM13201210

Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is the following.
F=(GmM)/r^2
Here G is the gravitational constant and r is the distance between the bodies.
(a) Find dF/dr
(b) Suppose it is known that Earth attracts an object with a force that decreases at the rate of 2 N/km when r = 30,000 km. How fast does this force change when r = 15,000 km?

Reference no: EM13201210

Questions Cloud

A nuclear cooling tower is in the shape of a hyperboloid : A nuclear cooling tower is in the shape of a hyperboloid (that is, a hyperbola rotated around its conjugate axis). The equation of the hyperbola is (x^2/3600)- (y^2/6400)=1.

State how much higher is the red ball two seconds : Find a polynomial D(t) that represents the difference in the heights of the two balls. b) How much higher is the red ball 2 seconds after the balls are tossed?

What factors should the worker to take in consideration : the worker doing the mathematical operation by hand in 32 seconds, and with the computer application, the operation is doing in 16 seconds with a 50 % of improvement. (theoretic - experimental)/theoretical *100% is the used formula for the 50%

Explain-conservationists want to save too many spotted owls : Consider this statement: “Conservationists want to save too many spotted owls.” Use graphical analysis accompanied by a concise narrative discussion.

Newton''s law of gravitation says that the magnitude f : Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is the following. F=(GmM)/r^2

Risk management and hedging strategy using forwards : Identify the steps you would initiate to protect the company from fluctuating fuel costs and achieve your above two objectives.

State the market price is set at the equilibrium price : If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus?(Round your answers to the nearest dollar.)

Why the natural monopoly is a economic of scale : Traditional Monopoly is a firm that is the only seller of a good or service that does not have any close to substitutes. Government keeps out or keep other firms from entering in a market. The firm, one firm is the key source that produce less and..

Does the cost of advertising have any influence : The publisher must spend $1 million advertising the new book. It is now ready to print the book. For practical purposes, as many books as they like can be printed. In deciding how many copies to run.

User Account

All Pages