Use the universal law of gravitation to solve the following problem.


Hint: mass of the Earth is = 5.97 x 1024 kg


A scientific satellite of mass 1300 kg orbits Earth 200 km above its surface. If Earth has a radius of 6378 km, what is the force of gravity acting on the scientific satellite?


a. Write out the formula for this problem.


b. Plug in the values from this problem into the formula.


c. Solve the problem, writing out each step.


d. Correct answer

Answers

Answer 1

Answer:

a.

[tex]F=G\cdot\dfrac{M \cdot m}{r^{2}}[/tex]

b.

[tex]F=6.67430 \times 10^{-11} \dfrac{N \cdot m^2}{kg^2} \times \dfrac{5.97 \times 10^{24} \ kg \times 1,300 \ kg}{(6,578 \ m)^{2}}[/tex]

c.

[tex]F=6.67430 \times 10^{-11} \dfrac{N \cdot m^2}{kg^2} \times \dfrac{5.97 \times 10^{24} \ kg \times 1,300 \ kg}{(6,578 \ m)^{2}} \approx 1.144 \times 10^{13} \ N[/tex]

d. The force of gravity acting on the satellite is approximately 1.144 × 10¹³ N

Explanation:

a. The formula for finding the force of gravity, F, acting object on an object is given as follows;

[tex]F=G\cdot\dfrac{M \cdot m}{r^{2}}[/tex]

Where;

F = The force acting between the Earth and the object

G = The gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

M = The mass of the Earth = 5.97 × 10²⁴ kg

m = The mass of the object

r = The distance between the center of the Earth and the object

b. Finding the gravitational force, 'F', between the Earth and the scientific satellite, we have;

The given mass of the satellite, m = 1,300 kg

The distance between the center of the Earth and the center of the satellite,  r = The length of the radius of the Earth + The height of orbit of the satellite

The given height of orbit of the satellite, h = 200 km

∴ r = R + h = 6,378 km + 200 km = 6,578 m

Therefore, by plugging in the values, we get;

[tex]F=6.67430 \times 10^{-11} \dfrac{N \cdot m^2}{kg^2} \times \dfrac{5.97 \times 10^{24} \ kg \times 1,300 \ kg}{(6,578 \ m)^{2}}[/tex]

c. Solving the above equation gives;

[tex]F=6.67430 \times 10^{-11} \dfrac{N \cdot m^2}{kg^2} \times \dfrac{5.97 \times 10^{24} \ kg \times 1,300 \ kg}{(6,578 \ m)^{2}} \approx 1.144 \times 10^{13} \ N[/tex]

d. The force of gravity acting on the satellite, F ≈ 1.144 × 10¹³ Newton


Related Questions

hey what is magnetic field






Answers

Answer:

a region around a magnetic material or a moving electric charge within which the force of magnetism acts.

Explanation:

The definition of a magnetic field is a place in space near a magnet or an electric current where a physical field is created from a moving electric charge that creates a force on another moving electric charge. An example of a magnetic field is the Earth's magnetic field.

how does a dragline excavator work​

Answers

dragline excavator is a piece of heavy equipment used in civil engineering, surface mining and excavating. A large excavator uses a dragline to pull a bucket by a wire cable. ... The operator than draws the cable so that the bucket gets dragged along the ground surface and digs into the material.

Đặt điện áp U = 200 cos Omega t vào hai đầu đoạn mạch gồm biến trở R và tụ điện mắc nối tiếp điều chỉnh r để công suất tiêu thụ của đoạn mạch đạt cực đại Khi Điện áp tức thời hai đầu r = 100 V và đang tăng thì điện áp tức thời giữa hai đầu đoạn mạch là

Answers

Answer:

I don't understand the Question

1. The mechanical energy of the pendulum at the highest point equals
a. kinetic energy only.
b. kinetic energy x potential energy.
c. potential energy only.
d. zero.

Answers

Answer:

c. potential energy only

Explanation:

at highest point the body will having some height and gravitational force will work on it.

since the velocity at highest point will be zero therefore there will no kinetic energy

The switch is released and the door locks. Explain in detail how this happens.

Answers

Answer:

The iron bolt is attracted to the electromagnet. The force of attraction between the electromagnet's core and the iron bolt is greater than the force of the spring, so the iron bolt is pulled out of its housing in the door

Explanation:


What is the volume occupied by 15.0 moles of the gas at 280 K at a pressure of 100 Pa?
Consider. R=831 Pa m (mol-K)

Answers

Answer:

34902

Explanation:

Pv=nRt

v=nrt/p

subsitute

v=15*831*280/100

v=34902

Please help ASAP!!
The velocity-time graph of a particle moving in a straight line is shown in a figure. Find the distance travelled by the particle in the time interval t = 0 and t= 10 s.

Answers

Answer:

40 m

Explanation:

The area under v-t graph gives the distance travelled by the particle.

Distance = area of ΔOBC + area of ΔCDE + area of ΔEFG

[tex]=\dfrac{1}{2}\times 4\times 10+\dfrac{1}{2}\times 2\times 10+\dfrac{1}{2}\times 4\times 5\\\\=40\ m[/tex]

So, the distance travelled by the particle in the time interval t = 0 and t= 10 s is equal to 40 m.

The isotope used to remove cancer malignancy cell the given options are a. Strontium 89 b. Uranium 238 c. Carbon 14 d. Chlorine 37.......... can anyone tell me the ans plzz​

Answers

Answer:

B. Uranium 238.

Explanation:

It is radioactive and can be used to treat cancer in the form of radiotherapy

HELPPP ILL GIVE BRAINLIST

Answers

Answer:

1= Kidneys

2= Ureters

3=Bladders

4=Urethra

Explanation:

Functions of kidney: Regulations of water balances, excretions of nitrogenous wastes(urea)

Functions of Liver: Detoxifications, protein synthesis

Functions of Skin: Temperature regulations, Metabolic functions, Excretion

Functions of lungs: Respiration, Water balance regulations

Tip: If you want faster and correct answers you should label your questions under the correct subject.

The realese of magma from the crater is called earthquake

True or False​

Answers

Answer:

False

Explanation:

I'm not the most sure but it seems reasonable that it's false

Good Luck Bestie :3

Answer:

The answer is false. If you want why. I will desxribe you.

Select the correct answer. Based on the law of conservation of energy, which statement is correct? A. Energy is always being added to all parts of the Universe. B. Energy is often destroyed in some parts of the Universe. C. Energy in a closed system cannot change forms. D. Energy in an isolated system remains constant.

Answers

Answer:

D. Energy in an isolated system remains constant.

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Gravitational potential energy (GPE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

Furthermore, the various forms of energy are solar energy, electrical energy, chemical energy, thermal energy, wind energy, nuclear energy etc.

The Law of Conservation of Energy states that energy cannot be destroyed but can only be transformed or converted from one form to another.

According to the law of conservation of energy, we can infer or deduce that the total energy of the system must stay the same because it cannot be destroyed, but kinetic energy (KE) can be transformed to potential energy (PE) and potential energy (PE) can be transformed to kinetic energy (KE) within the system.

What is amu?? How is 1amu=1.606*10*-27?

Answers

Answer:

amu is atomic mass unit

All of elements hydrogen is the lightest.

Hydrogen is taken as a basic unit so it happened 1amu

So 1 amu must be hydrogen mass

If I am wrong,Pls tell me the true answer....

digestion that takes place in the mouth.​

Answers

Mechanical digestion..............

True or false please help I’ll give brainliest

Answers

Answer:

All of them are false

Explanation:

4. electrons flow from earth to the object

5. electrons move freely

6. protons can't move

Answer:

They all false

What is energy and what is the formula of energy

Answers

Answer:

Energy is: the ability to do work

The formula for energy is: power x time = energy

Explanation:

Hope this helps (there isn't really an explanation)

You have 1 hour to answer this question or you will be logged out.
How much force (in Newtons) does a baseball pitcher have to exert on a 250g baseball to make it accelerate to 50 m/s the
Instant that it leaves his hand?

Answers

Answer:

Force = 12.5 Newton

Explanation:

Given the following data;

Mass = 250 g to kilograms = 250/1000 = 0.25 kg

Acceleration = 50 m/s²

To find the force;

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

[tex] Acceleration = \frac {Net \; force}{mass} [/tex]

Making force the subject of formula, we have;

[tex] Force = mass * acceleration [/tex]

Substituting into the formula, we have

[tex] Force = 0.25 * 50 [/tex]

Force = 12.5 Newton

1. A vehicle of mass 1500 kg braked to a standstill from a
velocity of 24 m/s in 12 s.
i. Show that the deceleration of the vehicle was 2.0 m/s2.
ii. Calculate the resultant force on the vehicle.

Answers

Explanation:

i. Vi=24

Vf=0

t= -2

a=vf-vi/t =0-24/12 = -2m/S2

ii. F=ma = 1500×-2= -3000 N

If velocity is Hositive, which would most likely yield a negative acceleration?
O A final velocity that is faster than an initial velocity.
O A time that is less than a half hour.
O An initial velocity that is faster than a final velocity.
O A time that is greater than a half hour.

Answers

Answer:

A final velocity that is faster than an initial velocity.

Explanation:

The acceleration of an object is given by :

[tex]a=\dfrac{v-u}{t}[/tex]

Where

v is final velocity and u is initial velocity

t is time taken

If the final velocity is more than the initial velocity, the acceleration is positive. So, the correct option is (a).

what is gravity..
what is force.
mention the two type of force
and give 3,3 exmples

Answers

Answer:

Oh, umm…

Jump! (The higher, the better!)

Drop your pencil! (or pen or ruler, whichever you prefer!)

Throw a ball of paper! (and make sure you pick it back up later!)

Explanation:

if you satisfied to my answer , just put brainliest please , and ur welcomeee♥️♥️

Suggest one reason why the experiment might not have given a correct value for
the specific heat capacity of the metal.

Answers

Answer:

It is because some of the heat is lost in the surroundings.

Explanation:

To calculate the specific heat of the metal, the following steps are performed.

Take a piece of metal whose mass and the initial temperature is known.

Now take a beaker filled with some measured amount of water and the temperature of water is known.

Drop the heated metal piece in the water so that the equilibrium is reached.

According to the principle of calorimetery,

Heat lost by the metal = heat gained by the water

here, some of the heat is lost in the surroundings so we don't get the correct value of the specific heta of the metal.

Which subatomic particle has the least mass?
O electron
O proton
O neutron
O the atom

Answers

Answer:

electron

Explanation:

The electron is the subatomic particle with the least mass. Therefore option A is correct.

Both protons and neutrons have significantly larger masses compared to electrons.

The mass of an electron is approximately 9.1 x 10^-31 kilograms, while the mass of a proton is about 1.67 x 10^-27 kilograms, and the mass of a neutron is also around 1.67 x 10^-27 kilograms.

It's important to note that the "atom" is not a subatomic particle but a structure composed of subatomic particles. An atom consists of a nucleus (composed of protons and neutrons) and electrons orbiting around the nucleus.

The mass of an atom depends on the number of protons, neutrons, and electrons it contains, so it can vary widely depending on the specific atom.

In summary, when comparing individual subatomic particles, the electron has the least mass.

Know more about electrons:

https://brainly.com/question/1255220

#SPJ7

A 59 kg block is positioned 2.0 meters away from another 59 kg block. What is the gravitational force exerted on each object?


A)
5.8 × 10-8 N

B)
2.0 × 10-9 N

C)
9.8 × 10-10 N

D)
1.2 × 10-7 N

Answers

Answer:

Explanation:

The gravitational force equation is

[tex]F_g=\frac{Gm_1m_2}{r^2}[/tex] where G is the gravitational constant. Filling in with what we are given and what we know to be true:

[tex]F_g=\frac{6.67*10^{-11}(59)(59)}{(2.0)^2}[/tex] which, when you do the math, comes out to be

[tex]F_g=5.8*10^{-8}N[/tex], choice A.


Which two forms of electromagnetic energy are used to produce the
most spectacular fluorescence when placed in darkness?
1. microwaves and x rays
2. microwaves and infrared
3. ultraviolet and x rays
4. ultraviolet and infrared

Answers

Answer:

3. ultraviolet and x rays

The two forms of electromagnetic energy are used to produce the most spectacular fluorescence when placed in darkness are ultraviolet and x rays.

What is electromagnetic energy?

Electromagnetic radiation is waves of the electromagnetic field, propagating through space, carrying electromagnetic radiant energy. It includes radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays.

What is fluorescence?

Fluorescence is the process in which a substance absorbs light at a high energy, short wavelength and emits light at a lower energy, usually visible wavelength.

What is ultraviolet rays?

Ultraviolet rays is a type of electromagnetic waves in which the wavelength is shorter than visible rays. It is responsible for 10% of sunlight and causes sun tan. It is used to purify water in water purifiers. It kill germs.

What is x rays?

X rays lies beyond ultraviolet rays. It is used to diagnose in medical field. It can destroy living tissues so excessive exposure should be limited to reduce harmful effect.

The color change of fluorescent minerals is most spectacular when the minerals are placed in darkness and exposed to electromagnetic energy shorter than visible light.

Ultraviolet and x rays are shorter than visible light so they exhibit fluorescent property.

To learn more about Electromagnetic radiation here

https://brainly.com/question/10759891

#SPJ2

A truck travelling at 30m/s decelerates at 1.5m/s². How far does it travel during the 10th second after the brakes are applied?​

Answers

Answer

225 meters.

Explanation:

x=x0+30t-(1/2)(1.5)t^2

x=0+30(10)-(1/2)(1.5)(10)^2

x=300-75

x=225

Brass is made by melting a mixture which contain 67% by mass of copper and 33% by mass of zinc if no change in volume.Calculate the density of brass​

Answers

Answer:

The density of brass is approximately 8,261.73 kg/m³

Explanation:

The percentage composition by mass of brass is given as follows;

The percentage by mass of copper = 67%

The percentage by mass of zinc = 33%

The density of copper, ρ₁ = 8.96 g/cm³

The density of zinc, ρ₂ = 7.133 g/cm³

Therefore, where we have, m = 100 g of brass, we have;

The mass of copper, m₁ = 67 g

The volume of copper, V₁ = m₁/ρ₁

∴ V₁ = 67 g/(8.96 g/cm³) ≈ 7.47767857 cm³

The volume of zinc, V₂ = m₂/ρ₂

∴ V₂ = 33 g/(7.133 g/cm³) ≈ 4.62638411 cm³

The volume of the brass, V = V₁ + V₂

V = 7.47767857 cm³ + 4.62638411 cm³ ≈ 12.104 cm³

The density of brass, ρ = m/V

∴ ρ = 100 g/(12.104 cm³) ≈ 8.26 g/cm³

The density of brass, ρ ≈ 8.26 g/cm³ = 8,261.73 kg/m³

If each metal is hit with light at the minimum wavelength, can I vary the intensity of the light to start emitting electrons? Yes or no? Explain

Answers

Answer:

Consequently the statement is FALSE

Explanation:

The process of emission of electrons or photoelectric effect, was explained by Einstein, assuming that light behaves as formed by how many so-called photons and each one of them collides with an electron, therefore to start an electron the incident photon energy must be greater than the work function of the material.

            E =K + Ф

 

By mentioning the intensity we increase the number of photons but we do not increase their energy.

Consequently the statement is FALSE

A car accelerates for 10 seconds. During this time, the angular
velocity of the wheels of the car increases from 10 rad/s to 25 rad/s.
What is the angular acceleration of the wheels during this time?
e

Answers

Answer:

the angular acceleration of the car is 1.5 rad/s²

Explanation:

Given;

initial angular velocity, [tex]\omega_i[/tex] = 10 rad/s

final angular velocity, [tex]\omega_f[/tex] = 25 rad/s

time of motion, t = 10 s

The angular acceleration of the car is calculated as follows;

[tex]a_r = \frac{\omega_f - \omega_i }{t} \\\\a_r = \frac{25-10}{10} = 1.5 \ rad/s^2[/tex]

Therefore, the angular acceleration of the car is 1.5 rad/s²

A sudden loud sound such as an explosion can damage the ear, as can long-term exposure to high levels of sound. *

Answers

Complete question is;

A sudden loud sound such as an explosion can damage the ear, as can long-term exposure to high levels of sound.

A) True

B) False

Answer:

True

Explanation:

This sudden sound described in the question is usually referred to as an impulse sound which can cause damage to hearing. Furthermore, it can lead to a type of hearing loss where one experiences buzzing, roaring or ringing sounds in one's ears.

Thus the statement in the question is true.


Which of the following is an example of the electrical force?
A. A rollercoaster car remains on the track despite being upside
down.

B. A crate rests on a loading ramp, despite the force of gravity pulling
it down the ramp.

C. A sock sticks to a pair of pants after both are removed from the
clothes dryer.

D. A bar magnet held above metal shavings causes them to move
and clump together.

Answers

Answer:

C. A sock sticks to a pair of pants after both are removed from the

clothes dryer.

Explanation:

there is influence of charges

Describe how the moment acts in each one of them.
1. Applying a force on the pedal of a bicycle​

Answers

Answer:

Moment is an expression involving the product of a distance and physical quantityA moment is due to a force not having an equal and opposite force directly along it's line of action. ... It is defined as the product of the force (F) and the moment arm (d). The moment arm or lever arm is the perpendicular distance between the line of action of the force and the center of moments.Moments act about a point in a clockwise or anticlockwise direction.

Answer: A ( how to pedal and balance )

Explanation:

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