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
Juliette [100K]
3 years ago
6

Gravitational Acceleration inside a Planet

Physics
1 answer:
vazorg [7]3 years ago
3 0

Answer:

PART A

g(R) = \frac{G(rho)(4)\pi R}{3} ;

PART B

g(R) = g(Rp) × \frac{R}{Rp}.

Explanation:

Given density of planet = rho.

The planet's radius = Rp.

An object is located a distance R from the center of the planet,

where R< Rp.

The gravitational fore between two point masses m₁ and m₂ is,

F = \frac{Gm_{1}m_{2}}{r^{2} } ; G= universal gravitational constant

                                                                 r = distance between the masses.

for mass m₂ , F=  m₂ g;  where g = acceleration due to gravity;

so, g = \frac{F}{m_{2} } =  \frac{Gm_{1}}{r^{2} };

From figure, only inside part of the planet exerts force and which can be treated as a point mass.

so, g =  \frac{Gm_{R}}{R^{2} }

where m_{R} = mass of the planet with radius R.

⇒  m_{R} = rho × \frac{4}{3}×\pi×R³

 ⇒ g(R) = \frac{G(rho)(4)\pi R}{3} →  PART A

        PART B

  At the surface g(Rp) =  \frac{G(rho)(4)\pi Rp}{3}

⇒  g(R) = g(Rp) × \frac{R}{Rp}

         

You might be interested in
What is the speed of a car traveling 100 m in 20 s?
Ludmilka [50]

Answer: To answer this question, we will need the following equation: SPEED = DISTANCE/TIME (A multiplication and division triangle will be shown)i) The speed of the car is calculated by doing 100 metres/ 20 seconds which gives us 5 metres per second. ii) Rearranging the equation earlier, we can make the distance the subject of the equation so that we get SPEED x TIME = DISTANCE. We worked out the speed and the time was given as 1 minute 40 seconds but we cannot plug in the numbers yet as the time has to be converted to units of seconds (because our speed is in meters per second). 1 minute 40 seconds = 60 seconds + 40 seconds = 100 secondsWe then plug in the numbers to get the distance travelled = 5 metres per second x 100 seconds = 500 metres.

Explanation:

3 0
3 years ago
When lights are wired such that if one bulb fails, the entire string of lights
Viktor [21]

Answer:

series

Explanation:

In a series circuit all the components are attached to one branch, so that if one component fails, all the others stop working. In a parallel circuit, however, the components are wired in separate branches, so that even if one branch fails, the rest are not disrupted.

8 0
2 years ago
Read 2 more answers
12) Water flows through a horizontal pipe of cross-sectional area 10.0 cm2 at a pressure of 0.250 atm with a flow rate is 1.00 L
masha68 [24]

Answer:

The pressure after passing the valve is 23,8 [Kpa] ( 0,234 atm) and the pressure drop is about 1,53 [Kpa]

Explanation:

We need to use the formula of bernoulli, in the attached image we can see the fluid throw the pipe, we also can calculate the velocity inside the pipe using the flow rate and the cross sectional area.

For this case, we don't use the elevation difference and therefore those terms can be cancelled.

When the area has reduced the velocity of the fluid is increased but there is a drop pressure through the valve.

5 0
3 years ago
Which of the following would most likely be considered nonpoint source pollution
fredd [130]
The best answer is b) increased turbidity from erosion.

Nonpoint source pollution generally happens as a result of many systems interacting, and is not directly attributed to one event or pollutant. Generally, natural environmental systems participate in pollution of this kind, regardless of whether or not human activity was a factor. Examples include water runoff, or erosion. 

The other pollutants listed have a direct cause and direct effect, the animal waste goes directly from the animals to the ground they live on, the car shop directly sumps the oil on the ground, and the oil tank leaks directly into the earth. Erosion causing turbidity is a less direct form of pollution, and is due to the synthesis of several natural phenomena<span />
8 0
3 years ago
Are fat fish more likely to have broad stripes than thin fish?
maw [93]

yes, just like human skin. The bigger you grown the more your skin stretches, I a fish is bigger their skin will stretch leading to broad stripes.
7 0
3 years ago
Other questions:
  • A person can jump 1.5m on the earth. How high could the person jump on a planet having the twice the mass of the earth and twice
    13·2 answers
  • Perhaps to confuse a predator, some tropical gyrinid beetles(whirligig beetles) are colored by optical interference that is duet
    15·1 answer
  • An inductor is connected in series to a fully charged capacitor. which of the following statements are true?
    7·1 answer
  • What is the gravitational acceleration close to the surface of a planet with a mass of 9ME and radius of 3RE, where ME and RE ar
    8·1 answer
  • Series circuit when you had one bulb and battery voltage was at 9 volts, what was current into battery?
    13·1 answer
  • PLZ help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • The physical quantity represented as rate of change of change in position in a
    12·1 answer
  • Which model could represent a neutral atom of boron?
    9·2 answers
  • When throwing a ball upwards, the velocity is positive, and the acceleration is negative. True of False?
    15·1 answer
  • 4. If a 75 kg astronaut moves from Earth to Mars, how much weight did he lose?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!