1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maksim [4K]
3 years ago
9

During a solar eclipse, the Moon, Earth, and Sun all lie on the same line, with the Moon between the Earth and the Sun. The Moon

has a mass of 7.36 × 1022 kg; the Earth has a mass of 5.98 × 1024 kg; and the Sun has a mass of 1.99 × 1030 kg. The distance between the Moon and the Earth is 3.84 × 108 m; the distance between the Earth and the Sun is 1.496 × 1011 m. Calculate the total gravitational potential energy for this arrangement.
Physics
1 answer:
Andreyy893 years ago
8 0

Answer:

U = 5.37*10^33 J

Explanation:

The gravitational potential energy between two bodies is given by:

U_{1,2}=-G\frac{m_1m_2}{r_{1,2}}

G: Cavendish's constant = 6.67*10^-11 m^3/kg.s

For three bodies the total gravitational potential energy is:

U_{T}=U_{1,2}+U_{1,3}+U_{2,3}\\\\U_{T}=-G[\frac{m_1m_2}{r_{1,2}}+\frac{m_1m_3}{r_{1,3}}+\frac{m_2m_3}{r_{2,3}}]

BY replacing the values of the parameters for 1->earth, 2->moon and 3->sun you obtain:

U_{T}=-(6.67*10^{-11}m^3/kg.s)[\frac{(5.98*10^{24}kg)(7.36*10^{22}kg)}{3.84*10^{8}m}+\\\\\frac{(5.98*10^{24}kg)(1.99*10^{30}kg)}{1.496*10^{11}m}+\frac{(7.36*10^{22}kg)(1.99*10^{30}kg)}{1.496*10^{11}m-3.84*10^8m}]\\\\U_{T}=5.37*10^{33}J

hence, the total gravitational energy is 5.37*10^33 J

You might be interested in
A piece of rope is pulled by two people in a tug-of-war. each exerts a 400-n force. what is the tension in the rope?
Leokris [45]
Newtons 3.law: Action = Reaction

If a body exerts a force on a rope of 400 N the rope exerts a force on the body of 400N also. So the tension in the rope is 400N. See pictures below.

3 0
3 years ago
Read 2 more answers
What is the SPEED of a ball that travels 120 m in 6s?
AVprozaik [17]

Answer:

20m/second

Explanation:

The reason the answer is 20m/second is because to find the speed of the ball  in this question you have to divide the distance over the time giving you the result of 20m/second

7 0
3 years ago
During low-intensity activity, your body obtains most of its energy from
Gemiola [76]
Carbohydrates, in cellular respiration.
3 0
2 years ago
a cone is constructed by cutting a sector from a circular sheet of metal with radius . the cut sheet is then folded up and welde
Svet_ta [14]

The expression for the radius and height of the cone can be obtained from

the property of a function at the maximum point.

  • The \ radius, \ of \ the \ base \ of \ the \ cone \ is \ \sqrt{ \dfrac{3}{4}} \times radius \ of \ circular \ sheet \ metal
  • The height of the cone is half the length of the radius of the circular sheet metal.

Reasons:

The part used to form the cone = A sector of a circle

The length of the arc of the sector = The perimeter of the circle formed by the base of the cone.

Volume \ of \ a \ cone = \dfrac{1}{3} \cdot  \pi \cdot r^3 \cdot h

  • Volume \ of \ a \ cone, \, V = \dfrac{1}{3} \cdot  \pi \cdot r^3 \cdot \sqrt{(s^2- r^2)}

θ/360·2·π·s = 2·π·r

Where;

s = The radius of he circular sheet metal

h = s² - r²

  • \dfrac{dV}{dr} = \dfrac{d}{dr}  \left(\dfrac{1}{3} \cdot  \pi \cdot r^3 \cdot \sqrt{(s^2- r^2)}\right) = \dfrac{\pi \cdot (3 \cdot r^2 \cdot  s^2 - 4 \cdot r^4)}{\sqrt{(s^2- r^2)}} = 0

3·r²·s² - 4·r⁴ = 0

3·r²·s² = 4·r⁴

3·s² = 4·r²

\underline{\left  \right. The \ radius, \, r =\sqrt{ \dfrac{3}{4}} \cdot s}

\underline{The \ height, \, h =\sqrt{s^2 - \dfrac{3}{4}\cdot s^2} = \dfrac{s}{2}}}

Learn more here:

brainly.com/question/14466080

3 0
2 years ago
Why are so many people using this on thing like a freaking dating app???
Westkost [7]

Answer:

this is were you get everything

Explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • You ride your bike at 12.1 m/s directly away from your neighbor's trumpet sound and toward the sound of another neighbor's tromb
    6·1 answer
  • Consider the Bohr energy expression (Equation 30.13) as it applies to singly ionized helium He+ (Z = 2) and an ionized atom with
    14·1 answer
  • Where is the us constitution does it mention anything about local governments
    8·1 answer
  • When you place charge on a conducting doorknob by touching it after walking across a carpet, what happens to the charge on the d
    15·1 answer
  • which of the following is accurate in describing the placement and classification of iodine? a. iodine is located in period 5, g
    14·1 answer
  • The picture shows an aerialist walking on a tightrope and holding a balancing bar.
    11·2 answers
  • What is the mass of a vehicle that has 50,000 N and 25M/S/S
    9·1 answer
  • A fox locates its prey under the snow by slight sounds rodents make. The fox then leaps straight into the air, and then burrows
    13·1 answer
  • How do the nuclei of covalently bonded atoms help keep the bond together.
    5·2 answers
  • A 1650kg car accelerates at a rate of 4.0 m/s2. How much force is the car’s engine producing?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!