Two objects have a force of gravity of 100 N. If the distance between both objects decreases by a factor of 7, while the masses both decrease by a factor of 8. What is the new Fg?

Answers

Answer 1

The gravitational force F between two masses M and m a distance r apart is

F = G M m / r ²

Decrease the distance by a factor of 7 by replacing r with r / 7, and decrease both masses by a factor of 8 by replacing M and m with M / 8 and m / 8, respectively. Then the new force F* is

F* = G (M / 8) (m / 8) / (r / 7)²

F* = (1/64 × G M m) / (1/49 × r ²)

F* = 49/64 × G M m / r ²

In other words, the new force is scaled down by a factor of 49/64 ≈ 0.7656, so the new force has magnitude approx. 76.56 N.


Related Questions

Which of Newton’s laws explains why a satellite continually orbits the earth and does not fall into the ground?

1st

2nd

None

3rd

Answers

Answer:

Newtons 1st law of inertia

Explanation:

Explanation:

probably the 1st law of motion, it'll continue at in a straight line as long as no external force is added or the net force equals to zero, same for the centrifugal force and the gravitational force

All of the following are possible transition points that occur during adulthood except __________.
A.
marriage
B.
rapid physical growth
C.
parenthood
D.
divorce

Answers

Answer:

B

Explanation:

.....................

Answer:

B. Rapid Physical Growths

The law of universal gravitation states that any two objects in the universe, without exception,
a
repel each other

b
attract each other
c
create friction

Answers

Answer:

attract each other

Explanation:

..........

You are working as an electrical technician. One day, out in CR the field, you need an inductor but cannot find one. Look- ing in your wire supply cabinet, you find a cardboard tube with single-conductor wire wrapped uniformly around it to form a solenoid. You carefully count the turns of wire and find that there are 580 turns. The diameter of the tube is 8.00 cm, and the length of the wire-wrapped portion is 36.0 cm. You pull out your calculator to determine:

a. the inductance of the coil
b. the emf generated in it if the current in the wire increases at the rate of 4.00 A/s.

Answers

Explanation:

Given info: The Number of turns in the wire is 580 the diameter of  

tube is [tex]8.00 \mathrm{~cm}[/tex] and the length of the tube up to which wire is wrapped is [tex]36.0 \mathrm{~cm}[/tex].  

Formula to calculate the inductance of the coil is,  

[tex]L=\frac{\mu_{0} N^{2} A}{l}[/tex]  

Here,  

[tex]L[/tex] is inductance of the coil.  

[tex]\mu_{0}[/tex] is the permittivity.  

[tex]N[/tex] is the number of turns.  

[tex]l[/tex] is the length up to which wire is wrapped.  

[tex]A[/tex] is the cross sectional area of the coil.  

The expression for the area is,  

[tex]A=\frac{\pi d^{2}}{4}[/tex]

Substitute [tex]\frac{\pi d^{2}}{4}[tex] for [tex]A[/tex] in equation (1).  

[tex]L=\frac{\left(\mu_{0} N^{2}\right) \frac{d d^{2}}{4}}{l}[/tex]

Substitute 580 for [tex]N, 4 \pi \times 10^{-7}[tex] for [tex]\mu_{0}, 8.00 \mathrm{~cm}[tex] for [tex]d[tex] and [tex]36.0 \mathrm{~cm}[tex] for [tex]l .[/tex]  

[tex]\begin{array}{c}  

=\frac{4 \pi \times 10^{-7} \times 580 \times 580 \times \frac{x(8.00 \mathrm{~cm} \times 8.00 \mathrm{~cm})}{4}}{36 \mathrm{~cm}} \\  

=5.90 \mathrm{mH}  

\end{array} [/tex]

Conclusion:  

Therefore, the inductance of the given single conductor wire is  

[tex]5.90 \mathrm{mH} .[/tex]

Given info: The rate of increasing current [tex]4.00 \mathrm{~A} / \mathrm{s}[/tex] and the inductance of the coil [tex]5.90 \mathrm{mH}[/tex].

The generated emf is,

[tex]

\varepsilon=L \frac{d i}{d t}

[/tex]

Here,

[tex]\varepsilon[/tex] is the generated emf.

[tex]L[tex] is the inductance of the coil.

[tex]\frac{d i}{d t}[tex] is the rate of change of current.

Substitute [tex]5.90 \mathrm{mH}[tex] for [tex]L[tex] and [tex]4.00 \mathrm{~A} / \mathrm{s}[tex] for [tex]\frac{d i}{d t}[/tex]

[tex]\begin{array}{c}

\varepsilon=5.90 \mathrm{mH} \times 4.00 \mathrm{~A} / \mathrm{s} \\

= & 23.6 \mathrm{mV}

\end{array}[/tex]

Conclusion:

Therefore, the generated emf is [tex]23.6 \mathrm{mV}[/tex].

Rahul is carrying a load of 80 kg a distance of 200m in 5 minutes but the same lord is carried by Reena to the same distance in 4 minutes who has. more power.​

Answers

Answer:

Reena has more power.....

Hope it helps!!!

6. A basketball player is 6 ft 10.5 in tall. What is his height in centimeters?​

Answers

Answer:

19.5 is answer Dee oo w e je e8 d c hehe udhdhd r

The height of the basketball player which is 6 ft 10.5 inches will be 209.55 centimeters.

What is Unit conversion?

A unit conversion expresses the same property as a different unit of the measurement of a quantity. For instance, the time can be expressed in the units of minutes instead of hours, while the distance can be converted from miles to kilometers, or feet, or any other measure of length.

1 ft = 30.48 cm

6 ft = 182.88 cm

1 inch = 2.54 cm

10.5 inch = 26.67 cm

Therefore, the total height in unit of centimeters will be (182.88 + 26.67) will be 209.55 centimeters.

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Two identical balls move at the same speed what momentum do the balls possess

Answers

At highest point above h from initial position .

And then ball B come to point A with same velocity v and after that elastic collision between A and B .

B get rest and A move with velocity v by momentum conservation .

The momentum of ball 1 is mv and momentum of the ball 2 is -mv. Therefore, option (C) is correct.

What is momentum?

The momentum of an object can be explained as the function of the object's mass and object's velocity. Momentum (p) can be used to determine kinetic energy and is the multiplication of velocity (v) and mass (m).

The momentum is the vector quantity because the velocity is the vector while mass is the scalar. So the product of the vector and scalar quantity is a vector.

The momentum can be determined from the mathematical formula:

p = m×v

The momentum can be described as a conserved quantity but it can be zero if the object is stationary because the velocity of an object is zero.

The mass of both balls is 'm' but they are moving in different directions, therefore, the velocity of one ball will be 'v' while the ball will be - v. Therefore the momentum of one ball is mv and the other ball is - mv.

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A child pulls a sled by a rope across the lawn at a constant speed. Of the forces listed, identify which act upon the sled.

Answers

Normal force, gravity, and friction

Speed versus Time
The graph below suggests

A. a constant speed of 3 m/s followed by speed of 1 m/s
B. a constant velocity of 2 m/s followed by speed of zero
C. a constant speed of 4 m/s followed by speed of zero
D. a constant acceleration of 2 m/s followed by speed of zero
F. a constant speed of 2 m/s followed by speed of zero

Answers

A since it’s the only one that makes sense! So A is correct.

Answer:

a constant speed of 2 m/s followed by speed of zero

Explanation:

I got it right on the test.

Lithium (chemical symbol Li) is located in Group 1, Period 2. Which is lithium most likely to be? O A. A soft, shiny, highly reactive metal OB. A soft, shiny, highly reactive nonmetal O C. A gaseous, highly reactive nonmetal O D. A metalloid with properties of both metals and nonmetals SUBMIT​

Answers

Answer:

A. A soft, shiny, highly reactive metal

Explanation:

Lithium  is located in Group 1, Period 2. lithium is most likely to be soft, shiny, highly reactive nonmetal. Hence option A is correct.

What is Atom ?

Atom is smallest entity of a body. Body is made up of atoms. it is basic building block of a body. An atom consist of electrons, protons and neutrons as sub atomic particle. whole mass of the atom is concentrated at the center of the atom which we call it as nucleus, nucleus consist of proton and neutron. Electron revolve around the nucleus at determined(fixed) orbit. Total number of protons in the atom decides the atomic number and the elements in the periodic table.

The electrons which are completely filled orbitals are called as core shell electrons and which are not filled completely are called as valence electron. valence electrons are responsible for physical and chemical properties of the element. Elements which are on same column in periodic table have same number of valence electrons .

Hence option A is correct.

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What are 4 ways individuals can influence the government?

Answers

Voting, running, speaking in front of government


Three resistors having resistances of 1.10 .3.00
, and 5.00 are connected in series to a 26.0V battery that has negligible internal resistance.
A)
Find the equivalent resistance of the combination
Req = 9.10
B) Find the current in through 1.10 resistor


B)

Find the current in through 1.10 ?

Answers

A=9.10 ohms and B=24 A

Examine the diagram of a cell.
Which organelle is marked with an X?
cell membrane
mitochondrion
nucleus
ribosome

Answers

Answer:

It is the Nucleus

Answer:

Nuclease

Explanation:

REAL ANSWER = BRAINLIST LOOK AT PICS ATTACHED

Answers

Answer:

there are no pictures attached.

Can you answer these questions would mean so much grades are due next week and im just really busy will give 35 points

Answers

Answer:

C.) X-Rays

B.) Focus

A.) Laser

B.) 38 x 10^-16 Joules

A 7.0kg object rests on a horizontal frictionless surface. What is the magnitude of the horizontal

force that is required to accelerate it at the rate of 2.3m/s2

?if you can show work it would be perfect

Answers

Answer:

16.1 N

Explanation:

From the question,

F = ma.............................. Equation 1

Where F = horizontal force, m = mass of the object, a = acceleration .

Given: m = 7.0 kg, a = 2.3 m/s²

Substitute this values into equation 1

F = (7.0×2.3)

F = 16.1 N.

Hence the magnitude of the horizontal force is 16.1 N

Which pair of sentences is describing the same velocity?

Answers

In this problem, only the following pair of sentences describe people with same velocity: Valerie rides her bike south at 8 kilometers per hour. Owen jogs south at 8 kilometers per hour. In fact, both Valerie and Owen are moving at same speed (8 km per hour) in the same direction (south), so they have same velocity.

A truck covers 40.0 m in 7.40 s while uniformly slowing down to a final velocity of 2.85 m/s.
(a) Find the truck's original speed.
(b) Find its acceleration.

Answers

Answer:

Summary

Motion in one dimension

Reading Quiz

Class Quiz

Kinematic equations

Picture (508x368, 5.6Kb)

Example #1

Example #2

Graphs of motion applet

constant speed

constant acceleration

vectors & graphs applet

graphical analysis applet

Example #3

Example #4

Self-quiz applet

Interactive Example 2-9


Find the magnitude of the sum
of these two vectors:
5.00 mA,
30.0°
B4
6.00 m
magnitude (m)​

Answers

Answer:

Approximately [tex]3.01\; \rm m[/tex].

Explanation:

Decompose each vector into the sum of two vectors: a horizontal one (parallel to the arrow that points to the right) and a vertical one (parallel the arrow that points upwards.)

Vector [tex]\sf A[/tex] is horizontal and is at an angle of [tex]0^\circ[/tex] with the horizon.  

Horizontal component of vector [tex]\sf A[/tex]: to the right, with a length of [tex]5.00\; \rm m \cdot \cos\left(0^\circ \right) = 5.00\; \rm m[/tex].Vertical component of vector [tex]\sf A[/tex]: [tex]5.00\; \rm m \cdot \sin\left(0^\circ \right) = 0\; \rm m[/tex].

Vector [tex]\sf B[/tex] is at an angle of [tex]30^\circ[/tex] below the horizon.

Horizontal component of vector [tex]\sf B[/tex]: to the right, with a length of [tex]\displaystyle 6.00\; \rm m \cdot \cos\left(30^\circ \right) = (6.00\; \rm m) \times \frac{\sqrt{3}}{2}\approx 5.19615\; \rm m[/tex].Vertical component of vector [tex]\sf B[/tex]: downwards, with a length of[tex]\displaystyle 6.00\; \rm m \cdot \sin\left(30^\circ \right) = 6.00\; \rm m \times \frac{1}{2} = 3.00\; \rm m[/tex].

Calculate the sum of vector [tex]\sf A[/tex] and vector [tex]\sf B[/tex].

The horizontal component of vector [tex]\sf A[/tex] and vector [tex]\sf B[/tex] are opposite to one another. Therefore, the length of the horizontal component of [tex]\sf (A + B)[/tex] would be the difference between the length of the horizontal components of vector [tex]\sf A\![/tex] and of vector [tex]\sf B\![/tex]:

[tex]\displaystyle (6.00\; \rm m) \times \frac{\sqrt{3}}{2} - 5.00\; \rm m \approx 0.196152\; \rm m[/tex].

The length of the vertical component of vector [tex]\sf A[/tex] is [tex]0\; \rm m[/tex]. Therefore, the length of the vertical component of [tex]\sf (A + B)[/tex] would be equal to the length of the vertical component of vector [tex]\sf B[/tex], [tex]\displaystyle 6.00\; \rm m \times \frac{1}{2} = 3.00\; \rm m[/tex].

Therefore, the length of the horizontal and vertical component of [tex]\sf (A + B)[/tex] are approximately [tex]0.196152\; \rm m[/tex] and [tex]3.00\; \rm m[/tex], respectively. The length of vector [tex]\sf (A + B)\![/tex] would be approximately:

[tex]\displaystyle \sqrt{(0.196152\; \rm m)^{2} + (3.00\; \rm m)^{2}} \approx 3.01\; \rm m[/tex].

Infer Which of the following is NOT true of gravitational force?

Answers

do you have the options?

Answer:

I think it's a repulsive force

Select the correct answer
Alight wave travels at a speed of 3.0 x 108 meters/second. If the wavelength is 7.0X107 meters, what is the frequency of the wave?

Answers

Answer:

[tex]f= 3.0 \times 10 {}^{8} \div 7.0 \times 10 {}^{7} \\ f = 4.28hz[/tex]

Given

Squashed into a smaller space; as you pump more gas into a container the gas becomes what?

Answers

Answer:

The pressure of the gas increases. If u go on pumping more gas in the same smaller space, it may condense to its liquid form.

What is the fastest bird​

Answers

She is correct I looked it up

Answer:

Peregrine Falcon/hawk

Explanation:

i really dunno if you are talking about brids that can't fly or not.

at Niagara Falls, if 505 kg of water fall a distance of 50.0 m, what is the increase in the internal energy of the water at the bottom of the falls? Assume that all of the initial potential energy goes into increasing the water's internal energy and that the final kinetic energy is zero

Answers

Answer:

Hope that helps

Explanation:

the increase in the internal energy of the water at the bottom of the falls

= mgh

= 505 * 9.81 * 50

= 247703 J ----answer

Answer:

247702.5 J

Explanation:

the question says that all of the initial potential energy is transferred into internal energy, meaning we have to find PEi

PE=mgh

m=505 kg

g=9.81 m/s^2

h=50 m

=>505(9.81)(50)= 247702.5

the internal energy increased by 247702.5 J

PLS HELP ANYONE
The image below shows how cloud formation can be affected by a mountain range.

The moist air on one side of the mountain condenses to form clouds and rain. However, on the other side of the mountain, the air is cooler and drier. Which of Earth's spheres are interacting when this happens?
A. atmosphere and geosphere
B. biosphere and geosphere
C. biosphere and hydrosphere
D. atmosphere and biosphere

Answers

Answer:

hi :3

Explanation:

A body to projected horizontally with a velocity of 100m/s
from the top of a tower 200m above the ground deduce
the following
time of flight and
Range obtained​

Answers

Answer:

(a) Time flight is 6.39 s

(b) The range of the projectile is 639 m.

Explanation:

Given;

initial horizontal velocity of the projectile, [tex]v_x[/tex] = 100 m/s

initial vertical velocity of the projectile, [tex]v_y[/tex] = 0

height of the tower, h = 200 m

(a) Time flight is calculated as follows;

[tex]h = v_yt + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2\times 200}{9.8} }\\\\t = 6.39 \ s[/tex]

(b) The range of the projectile is calculated as follows;

[tex]R = v_x \times t\\\\R = 100\ m/s \ \times \ 6.39\ s\\\\R = 639 \ m[/tex]

what is not a form of erosion

1) mass
2) water
3) wind
4) ice
5) gravity

Answers

Answer:

mass

Explanation:

Answer:

Mass wind water ice gravity

This graph shows the path length based on the number of speciation events in a evolution path.

Speciation Events vs. Path Length gradual evolution Path Length punctuational evolution Number of Speciation Events

What does the graph suggest about the evolution path length


a. The punctuational evolution path is the same as the gradual evolution path
b. The gradual evolution path is longer that the punctuational evolution path
c. Gradual evolution does not effect the evolution path length
d. Punctuational evolution does not effect the evolution path length

Answers

Answer:

Nbhb

Explanation:

Timed plz hurry
Enlarged brain ventricles are presumed to signify
A. an excess of dopamine activity
B. frontal lobe abnormalities
C. development of brain tissue
D. a deterioration of brain tissue

Answers

Answer:

D. a deterioration of brain tissue

A deterioration of brain tissue cause enlargement of brain ventricles

When an injury or illness alters the circulation of CSF, one or more of the ventricles becomes enlarged as CSF accumulates. In an adult, the skull is rigid and cannot expand, so the pressure in the brain may increase profoundly. Hydrocephalus is a chronic condition in which  is the buildup of fluid in the cavities (ventricles) deep within the brain. It can be controlled, but usually not cured.What is CSF?Cerebrospinal fluid (CSF) is a clear, colorless liquid found in your brain and spinal cord. They combinedly form central nervous system.Central nervous system controls and coordinates everything you do including  muscle movement, organ function, and even complex thinking and planning

Hence, D) is the correct option.

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The specific heat of water in its solid phase (ice) is 2090 J/(kg K), while in the liquid phase (water) its specific heat is 4190 J/(kg K). Water's latent heat of fusion is 333,000 J/kg. If you have a 2kg block of ice at -90°C and you add 1,000,000 J of heat, what is its new temperature?

a. 0°C
b. 14°C
c. 49°C
d. 149°C

Answers

Answer:

d. 149 ⁰C.

Explanation:

Given;

mass of the block of ice, m = 2 kg

specific heat capacity of the ice, C = 2090 J/(kgK)

initial temperature of the ice, t₁ = -90 ⁰C

heat added to the ice, H = 1,000,000 J

let the final temperature of the ice = t₂

The final temperature of the ice after adding the heat is calculated as follows;

[tex]H = mC_{ice} \Delta t\\\\H = mC_{ice} (t_2 - t_1)\\\\1,000,000 = 2 \times 2090 \times (t_2 - (-90))\\\\1,000,000 = 4,180(t_2 +90)\\\\1,000,000 = 4,180t_2 + 376,200\\\\1,000,000 - 376,200 = 4,180t_2\\\\623,800 = 4,180 t_2\\\\t_2 = \frac{623,800}{4,180} \\\\t_2 = 149 \ ^0C[/tex]

Therefore, the new temperature of the water is 149 ⁰C.

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