The force exerted by the earth on a particle of mass m a distance r from the
Question:
The force exerted by the earth on a particle of mass m a distance r from the center of the earth has the magnitude GMEm/r2 = mgRE2/r2.
(a) Calculate the work you must do against gravity to move the particle from a distance r1 to r2.s
(b) Show that when r1 = RE and r2 = RE + h, the result can be written
(c) Show that when h << RE, the work is given approximately by W = mgh.
W = mgR RE RĘ +h
Step by Step Answer:
a b In the above expression replace GM E m by ...View the full answer
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Related Video
Take 2 forks and place them on one another in such a way that we can place the coin in between the prongs. Now try to place the coin with forks on the edge of the glass. It will take you some time to adjust the coin on the edge. This requires a little practice to adjust the coin on the edge of the glass. With a little effort, we will see the coin sitting on the edge calmly. If you look closely you will see it wobbling a little bit. The mass is in the handles of the forks so as a low center of mass it stables as it looks.
Students also viewed these Mechanics questions
-
A fixed force center scatters a particle of mass m according to the force law F(r) = k/r3. If the initial velocity of the particle is u0, show that the differential scattering cross section is km (T...
-
The net force on a particle of mass m has the potential energy function graphed in Fig. 7.24a. If the total energy is E 1 , graph the speed v of the particle versus its position x. At what value of x...
-
A particle of mass M = 0.25 kg is dropped from a point that is at height h = 1.80 m above the ground and horizontal distance s = 0.45 m from an observation point O, as shown in Figure. What is the...
-
You are in a supermarket, shopping for orange juice. There are several brands of orange juice on the shelf. Provide one example of how you may use the availability heuristic to decide which brand of...
-
60-day interest rate (simple, p.a.) are 3% at home (usd) and 4% abroad (eur). The spot rate is 1.250. (a) Check that borrowing eur 1m (=current proceeds, not future debt), hedged, costs as much as...
-
Give reasons why companies provide online access to descriptions of inventory products and on hand quantity levels to key inventory suppliers. Discuss risks associated with making that information...
-
Look through several professional society magazines such as Civil Engineering, Mechanical Engineering, or ASEE Prism. Count the advertisements for CFD software and calculate an "ad density" in...
-
Assume the Federal Interstate Commission began the fiscal year with the following account balances: 1. Congress passed a spending bill providing $12,000,000 to fund the agencys operations for the...
-
Consider a bond with maturity 2 year, 100 face value, coupon 5.95%, and yield 7.80%. Compute a dollar duration numerically using a dy =0.001%. Report you result with two digits decimal accuracy and...
-
Cinder Inc. is a Canadian-controlled private corporation based in your province. The company operates a wholesale business. The following information is provided for its year ended May 31, 2020: 1....
-
Joe and Sally learn that there is a point between the earth and the moon where the gravitational effects of the two bodies balance each other. Being of a New Age bent, they decide to try to conceive...
-
Suppose that the gravitational force of attraction depended not on 1/r 2 but was proportional to the distance between the two masses, like the force of a spring. In a planetary system like the solar...
-
Express the following quantities to the nearest standard prefix using no more than three digits. (a) \(3600 \mathrm{~s}\) (b) \(5 \times 10^{13} \mathrm{~W}\) (c) \(850,000 \mathrm{~Hz}\) (d) \(68...
-
A die is rolled 8 times. What is the probability that we will get exactly two 3s?
-
If negative goodwill is still remaining after allocations, the remaining amount is recognized as an extraordinary gain. Does this meet the definition of an extraordinary item?
-
What are the three requirements to be eligible for differential reporting?
-
In Problems 11-18, find the three measures of central tendency (the mean, median, and mode). 1, 2, 3, 4, 5
-
If externally reported financial statements are general purpose statements, how can specific objectives influence their content?
-
Suppose that you are a project manager asked to develop the network activity diagram and identify the critical path for a project based on the following information. Draw the activity network as a...
-
Make an argument that Williams had a right to delay the closing until after August 1.
-
Use properties of the integral and the formulas in the summary to calculate the integrals. So 10 x dx
-
A lens that has a focal length of 5.00 cm is used as a magnifying glass. (a) To obtain maximum magnification, where should the object be placed? (b) What is the magnification?
-
The distance between eyepiece and objective lens in a certain compound microscope is 23.0 cm. The focal length of the eyepiece is 2.50 cm, and that of the objective is 0.400 cm. What is the overall...
-
The desired overall magnification of a compound microscope is 140/. The objective alone produces a lateral magnification of 12.0X. Determine the required focal length of the eyepiece.
-
An investor put 60 percent of his money into a risky asset offering a 10 percent return with a standard deviation of return of 8 percent, and he put the balance of his risk-free asset offering 5...
-
There is a bonus with the following characteristics: nominal value $98.650.000 annual coupon rate 4.5% term 5 years, tir 6.5% A) Calculate the price of the bond assuming it is zero coupon B)...
-
Ida Company produces a handcrafted musical Instrument called a gamelan that Is similar to a xylophone. The gamelans are sold for $949. Selected data for the company's operations last year follow:...
Study smarter with the SolutionInn App