Two spheres have a gravitational force between
them of 45 N. If the distance between the masses
is increased to 4.0 times its original distance, what
is the new force?

Answers

Answer 1

Answer:

The new force is 2.8125 N

Explanation:

Newton’s Law of Universal Gravitation

Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.  

[tex]\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}[/tex]

Where:

m1 = mass of object 1

m2 = mass of object 2

r     = distance between the objects' center of masses

G   = gravitational constant: 6.67\cdot 10^{-11}~Nw*m^2/Kg^2

Suppose two spheres have a gravitational force between them of F = 45 N. Now increase the distance to r'=4r. The new force F' is:

[tex]\displaystyle F'=G{\frac {m_{1}m_{2}}{(4r)^{2}}}[/tex]

[tex]\displaystyle F'=G{\frac {m_{1}m_{2}}{16r^{2}}}[/tex]

[tex]\displaystyle F'=\frac{1}{16}\ G{\frac {m_{1}m_{2}}{r^{2}}}[/tex]

Substituting the original value of the force:

[tex]\displaystyle F'=\frac{1}{16}\ 45 N[/tex]

F' = 2.8125 N

The new force is 2.8125 N


Related Questions

How will the electrostatic force between two electric charges change if the first charge is doubled and the second charge is only one third of the original charge?
A) 4/9
B) 2/3
C) 6 times
D) 2/9

Answers

Answer:

B) [tex]\frac{2}{3}[/tex]

Explanation:

The electric force between charges can be determined by;

F = [tex]\frac{kq_{1} q_{2} }{r^{2} }[/tex]

Where: F is the force, k is the Coulomb's constant, [tex]q_{1}[/tex] is the value of the first charge, [tex]q_{2}[/tex] is the value of the second charge, r is the distance between the centers of the charges.

Let the original charge be represented by q, so that;

[tex]q_{1}[/tex] = 2q

[tex]q_{2}[/tex] = [tex]\frac{q}{3}[/tex]

So that,

F = [tex]q_{1}[/tex][tex]q_{2}[/tex] x [tex]\frac{k}{r^{2} }[/tex]

  = 2q x [tex]\frac{q}{3}[/tex] x [tex]\frac{k}{r^{2} }[/tex]

  = [tex]\frac{2q^{2} }{3}[/tex] x [tex]\frac{k}{r^{2} }[/tex]

  = [tex]\frac{2}{3}[/tex] x [tex]\frac{kq}{r^{2} }[/tex]

F = [tex]\frac{2}{3}[/tex] x [tex]\frac{kq}{r^{2} }[/tex]

The electric force between the given charges would change by [tex]\frac{2}{3}[/tex].

Question 2
3 pts
If a car is traveling at 32 m/s and has a mass of 2,413, how much
Kinetic Energy does it have? (Round to the nearest tenth)

Answers

Answer:

1235.5J

Explanation:

Given parameters:

Mass of car  = 2413kg

Speed of car  = 32m/s

Unknown:

Amount of kinetic energy it has  = ?

Solution:

Kinetic energy is the energy due to the motion of a body;

     Kinetic energy  = [tex]\frac{1}{2}[/tex] m v²  

m is the mass

v is the velocity

         Now insert the parameters;

     Kinetic energy  =  [tex]\frac{1}{2}[/tex] x 2413 x 32²   = 1235.5J

Help me I got this photo please

Answers

Answer:

Carbon Sink- photosythesis, ocean absorption, fossilization

Carbon Source- combustion, respiration

Explanation:

Hello, what does the first condition mean?

Answers

Answer:

An object at rest is described by Newton's First Law of Motion. An object in static equilibrium has zero net force acting upon it. The First Condition of Equilibrium is that the vector sum of all the forces acting on a body vanishes.

Explanation:

Answer:

see below

Explanation:

the first condition means that the light ray inside the optically denser medium hits the surface of the optically less dense medium.

this in simple words means, light must be travelling from am optically denser medium to an optically less dense medium

hope this helps :)

A complete description of your _____ includes a distance, direction, and reference point. This includes an object's distance in a certain direction from a reference point.

Answers

Answer:

Position.

Explanation:

Motion can be defined as a change in location with respect to a reference point.

This ultimately implies that, motion would occur as a result of a change in location (position) of an object with respect to a reference point or frame of reference i.e where it was standing before the effect of an external force.

Mathematically, the motion of an object is described in terms of acceleration, time, distance, speed, velocity, displacement etc.

A complete description of your position includes a distance, direction, and reference point. Thus, this includes an object's distance in a certain direction from a reference point.

A car battery produces 12 from electric that each produce 2.0 V. What is the minimum number of electric cells in car battery?

Answers

Answer:

6

Explanation:

From the given question, since a total of 12 V was obtained from the battery which is made up of a number of cells with each producing 2.0 V.

Assuming that the cells have a very low internal resistance, then;

minimum number of electric cells in the car battery = [tex]\frac{total voltage from the cells}{individual voltage of the cells}[/tex]

                                          = [tex]\frac{12}{2}[/tex]

                                          = 6

Thus, the minimum number of electric cells in the car battery is 6.

This implies that the addition of 6 cells which has 2.0 V supply in the battery produces a total of 12 V. Provided that the cells have a very low internal resistance.

What elements/isotopes are formed via Big Bang Nucleosynthesis?

Answers

Answer:

deuterium, helium and lithium

Explanation:

Big Bang nucleosynthesis is defined as the production of nuclei other than Hydrogen during the early phases of the universe but shortly after the occurrence of the Big Bang.

Now, the other nuclei formed are usually the elements deuterium, helium and lithium or their corresponding isotopes.

What net force is required to accelerate a car at a rate of 3m/s^2 if the car has a mass of 2,000 kg?

Answers

Answer:

6000 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 2000 × 3

We have the final answer as

6000 N

Hope this helps you

Which event is best demonstrated with the model below? plate plate Formation of a mid -ocean ridge An earthquake A volcanic eruption Formation of a mountain

URGENT
Is it
A
B
C
Or D

A: formation of mid ocean ridge
B: an earthquake
C: a volcanic eruption
D: formation of a mountain

Answers

Answer:

d i think

Explanation:

becuse

Answer:

B

Explanation:

Is work being done on a barbell when a weight lifter is holding the barbell
over his head?

Answers

Answer:

Because in order for work to be done on an object, the object must be moving. Why isn't work being done on a barbell when a weight lifter is holding the barbell over his head? Work is maximized when force is applied in the same direction that the object is moving. ... In order to do work faster, more_is required.

A 445-N force is used to hold up a Papa Johns sign in place. What is the mass of the sign?

Answers

Answer:

The mass of the sign is 44.5 kg.

Explanation:

Given that,

Force acting on the sign, F = 445 N

We need to find the mass of the sign.

Net force acting on it is given by :

F = mg

Where g is the acceleration due to gravity

[tex]m=\dfrac{F}{g}\\\\m=\dfrac{445\ N}{10\ m/s^2}\\\\m=44.5\ kg[/tex]

So, the mass of the sign is 44.5 kg.

How much of the matter in the universe is comprised
of atoms?

a. 1%

b. 100%

c. 30%

d. 99%

Answers

Answer: I believe the correct answer is A.

The answer should be A

Can anyone help me with these questions? TIA!!

Answers

Hey There!_____________________________________Question 1:_____________________________________[tex]\Huge\text{Resistance:}[/tex]

Resistance is a material's tendency to resist the flow of charge (current). Resistance is the measure of the opposition to motion of free electrons(current) due to their continuous collisions with the atom of the lattice. An electric current flows when electrons move through a conductor, such as a metal wire. The moving electrons can collide with the atoms in the metal. This makes it more difficult for the current to flow, and causes resistance. The unit of Resistance is "OHM". Ohm is denoted by the greek letter "Ω".

_____________________________________Question 2:[tex]\Huge\text{Ohm's Law}[/tex]

  If a current 'I' is caused to flow in a conductor by a battery of potential difference 'V', it is found that the current is directly proportional to potential difference provided there is no change in the conductor itself. That means more will be I if we increase V. So

                   

                     [tex]{\Longrightarrow}\qquad \qquad \qquad I {\propto} V\\\\{\Longrightarrow}\qquad \qquad \qquad I = KV[/tex]

Where K is Conductance. Conductance is the ability of a conductor to allow the current to pass through it.  Resistance(R) is the reciprocal(opposite) of conductance(K) thus K is inversely proportional to R,

                     [tex]{\Longrightarrow}\qquad \qquad \qquad I = \frac{1}{R}V \\\\{\Longrightarrow}\qquad \qquad \qquad V = IR[/tex]

This is known as OHM's Law, and V = IR is the equation linking the R, V and I.

_____________________________________Question 3:

[tex]\Huge\text{Circuit Diagram:}[/tex]

Circuit Diagram no 1 attached is of this question. In the circuit diagram, V is voltmeter to find the potential difference, A is the ammeter to find the current, R is the resistance i.e. the conductor wire, The switch and the battery.

Suppose the wire of length 100 cm is connected to a battery, the Voltmeter observes the potential difference and ammeter reads the current of the wire. We will use the R, V and I i.e. V = IR equation to find out the resistance of that wire and Record the resistance. Then attach another small wire of suppose 90 cm to the battery, and similarly Find out its resistance too. After recording the resistance 3 or 4 times, you will observe that When you decrease the length of the wire,

The Resistance decreasesThe Current increases The Potential Difference decreases_____________________________________Question 4:[tex]\Huge\text{Resistance:}[/tex]

The resistance of a conductor depends upon the following factors.

Length(L), Longer the length of conductor, Greater the resistance.    

                   [tex]{\Longrightarrow}\qquad \qquad \qquad R\quad {\propto}\quad L[/tex]    

Cross-Sectional Area(A), thicker the Wire, lesser the Resistance.

                   [tex]{\Longrightarrow}\qquad \qquad \qquad R\quad {\propto}\quad \frac{1}{A}[/tex]

Material of the Conductor, The Resistance also changes because of the material of the wire. If we use copper it will have different resistance than the steel wire.

The relation between only length of the wire and resistance is [tex]R\quad {\propto} \quad L[/tex] . The relation of R, L and A is given by, ρ

                    [tex]{\Longrightarrow}\qquad \qquad \qquad R\quad {\propto}\quad \frac{L}{A}\\\\{\Longrightarrow}\qquad \qquad \qquad R\quad =\ \frac{\ {\rho}\ L\ }{A}[/tex]

Where ρ is known as resistivity depends upon the nature of the material of the wire. The meter of resistivity is Ω x m(Ohm x meter).

_____________________________________Question 5:

[tex]\Huge\text{I-V Characteristic:}[/tex]

I-V curves of an electrical device or component, are a set of graphical curves which are used to define its operation within an electrical circuit. I-V characteristic curves show the relationship between the current flowing through an electronic device and the applied voltage across its terminals. The circuit diagram to find I-V characteristic must have a resistor which is a device or component connected to a battery which is providing the potential difference V. When a resistor is connected to a battery, current I is observed due to drift velocity. To find the current and potential difference(voltage) the circuit must have the Ammeter and voltmeter. Recorded current and voltage must be used to plot the graph to check the I-V characteristic. The picture attached is the circuit diagram.

_____________________________________Question 6:

We calculate the resistance at constant temperature by ohm's law. The Ohms law is applied at constant temperature because the resistance of any material varies with the change in temperature. It shows a linear relationship between the applied voltage and the resulting current, resistance being a constant. So we could use V = IR because resistance is constant at constant temperature.

_____________________________________Best Regards,'Borz'

                       

The middle one please it’s due in 40 min

Answers

Answer:

3240000000 Joules

Explanation:

A wave has frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave? Group of answer choices

Answers

Explanation:

hehshehebdbajahwwdszsjshshs shsbw

Which of these characteristics would best help a student who is focused on reaching academic goals?

Creativity
Responsibility
Love
Acceptance

Answers

Answer: Responsibility

Answer:

B. responsibility

Explanation:

A 55 kg person falling with a velocity of 0.6

Answers

Answer:

What are we supposed to find, if it is kinetic energy then this is the solution.

K.E=1/2mv^2

K.E= kinetic energy

M=mass

V=velocity

K.E =0.5*55*0.6^2

K.E=9.9J

Explanation:

A ball of mass 0.3kg, moving at a velocity of 20m/s is suddenly hit by a force of 5N for a time of 0.03 sec. Find its new velocity of motion​

Answers

Answer:

F * t = m * Δv

F * t = m * (v2 - v1) where v2 is the new velocity and v1 is the current velocity

m * (v2 - v1) = (F * t)

Plugging in the values,

0.3kg * v2 - 0.3kg * 20 m/s = 5 * 0.03 s

0.3 * v2 - 6 = 0.15

0.3 * v2 = 0.15 + 6

v2 = 6.15 / 0.3

v2 = 20.5 m/s

The new velocity of motion is 20.5 m/s.

What is the working principle of an electric motor?
a) Electromagnetic induction.
b) An electric current flowing through a matallic wire produces magnetic
field.
c) Relative motion of a coil in a magnetic field produces electric current.
d) A current carrying wire experiences a force in a magnetic field.

Answers

The answer B homie trust
The answer is b have a nice day

A car moved 80 km to the south.What is its displacement?​

Answers

car moved 80 km to the South. What is its displacement? 80 km South -------------------------------------

describe four uses of the heating effect of electricity in the home.

Answers

Answer:

Explanation:

Electric Bulb: In an electric bulb, the filament of bulb gives light because of heating effect of electricity. The filament of bulb is generally made of tungsten metal; having melting point equal to 3380°C.

Electric iron: The element of electric iron is made of alloys having high melting point. Electric heater and geyser work on the same mechanism.

Electric fuse: Electric fuse is used to protect the electric appliances from high voltage; if any. Electric fuse is made of metal or alloy of metals, such as aluminium, copper, iron, lead, etc. In the case of flow of higher voltage than specified, fuse wire melts and protects the electric appliances.

Write the equation for Newton's law of universal gravitation

Answers

Answer:

This was done by measuring the acceleration due to gravity as accurately as possible and then calculating the mass of Earth M from the relationship Newton's universal law of gravitation gives mg=GmMr2 m g = G m M r 2 , where m is the mass of the object, M is the mass of Earth, and r is the distance .

An 8 Newton wooden block slides across a horizontal wooden floor at constant velocity. What is the magi notice of the force of kinetic friction between the block and the floor

Answers

Answer:

The force of kinetic friction between the block and the floor is 2.4 N

Explanation:

The given parameters are;

The weight of the block = 8 Newtons

The velocity of the block = Constant velocity

Taking the kinetic friction for wood, [tex]\mu _k[/tex] = 0.3, we have;

The normal reaction of the block on horizontal ground, N = The weight of the block = 8 N

The force of kinetic friction between , [tex]F_k[/tex] = [tex]\mu _k[/tex] × N

Therefore, we have;

The force of kinetic friction between the block and the floor, [tex]F_k[/tex] = 0.3 × 8 N = 2.4 N.

10. Electrical Power: Why do our electronic devices get hot? We know
that electrons flow through a circuit to do useful work in the circuit.
Explain why do resistors/ resistive elements heat up in a circuit. *

Answers

Answer:

Now, think on the electrons flowing through a conductor (we can think on the resistor as a simple conductor, like a piece of metal)

Inside the conductor, we have some "fixed" (they do not flow with the current) electrons, such that as the current flows in the conductor, the flowing electrons can interact with the fixed ones in the conductor. Then we can have collisions inside the conductor.

In those collisions, the flowing electrons leave energy in the conductor, and as we know, heat is a form of energy. Then when we have a lot of these collisions, the temperature of the conductor increases.

That is why electronic devices get hot.

Also, as the temperature of a conductor increases, the electrons inside of it start to move more, then the probability of an interaction with the flowing electrons increases.

Estimate the volume of each ball. Use the formula

where V is the volume and r is the radius. Record the volumes in Table A of your Student Guide.
What is the estimated volume of the table tennis ball?
cm3
What is the estimated volume of the golf ball?
cm3

Answers

The given question is incomplete. The complete question is:

Estimate the volume of each ball. Use the formula [tex]v=\frac{4\pi\times r^3}{3}[/tex] where v is the volume and r is the radius. record the volume in table A of your student guide. The radius of the tennis ball is 2.1 cm and the radius of thr golf ball is 2.0 cm. What is the estimated volume of the table tennis ball in [tex]cm^3 [/tex] What is the estimated volume of the golf ball in

Answer: Volume of the tennis ball is [tex]38.8cm^3[/tex] and  Volume of the golf ball is [tex]33.5cm^3[/tex]

Explanation:

We have to find the Volume of tennis ball and golf ball by using the formula [tex]v=\frac{4\pi\times r^3}{3}[/tex]

Radius of the tennis ball = 2.1 cm

Radius  of the golf ball =2.0 cm.

Putting the value of radius in the formula , we get:

Volume of the tennis ball =  [tex]\frac{4\times 3.14\times (2.1cm)^3}{3} =38.8cm^3[/tex]

Volume of the golf ball =   [tex]\frac{4\times 3.14\times (2.0cm)^3}{3} =33.5cm^3[/tex]

Volume of the tennis ball is [tex]38.8cm^3[/tex] and  Volume of the golf ball is [tex]33.5cm^3[/tex]

it's  38.8 and 33.5 hope this helps

7. A volcanic island arc is formed when

Answers

A I believe ^^^^^^ luck!!!

ITS EASY TRUST ME!!!!

Answers

Answer:

it appears to be B. acceleration

It’s most definitely b

A person sitting still in a moving airplane is considered to be... (SP1a) a. Motionless in relation to everything in the plane. B. In motion compared to everything on the ground. C. Both a and b. D. Neither a nor b.

Answers

Answer:

C. Both a and b

Explanation:

Firstly, persons and objects in a moving plane as described in this question, are moving at the same speed as the plane even if there is no individual movement of these objects.

However, this question describes a person sitting still in a moving plane. This means that;

- The person is motionless in relation to everything in the plane i.e the person is not moving even if other things in the plane are.

- The person is in motion compared to everything on the ground i.e. the person is moving at the same speed as the plane, hence, in comparison with the ground, the person is moving.

Therefore, options A and B are correct

An object moves with constant velocity .

•1st law
•2nd law

Answers

Answer:

An object moves with constant velocity .

Explanation:

•2nd law

(97-R) Dos cargas puntuales iguales están separadas por una distancia d. A) ¿Es nulo el campo eléctrico total en algún punto? Si es así, ¿cuál es la posición de dicho punto? B) Repita el apartado anterior suponiendo que las cargas fueran de distinto signo.

Answers

Answer:

Explanation:

El campo eléctrico provocado por una carga puntal sobre determinado punto viene dado por la ecuación:

E  = K * Q /r²       en esa ecuación E es el campo eléctrico (un vector), K es una constante K = 1/4*π*ε₀   Q es la carga que origina el campo, y r la distancia entre la carga y el punto donde se quiere determinar el campo. La fuerza de origen eléctrico y el campo eléctrico van en la dirección de la recta de unión entre carga y punto ( es decir según r) y esta fuerza sera repulsiva o de atracción según que la carga que la origina sea positiva o negativa (respectivamente, ya que en la determinación de fuerza y campo, se asume que se coloca una carga de prueba positiva en el punto ).

Siendo así, si dos cargas elécticas son iguales y están separadas una distancia r ; en el punto medio (r/2) los campos producidos por cada una de las cargas serán de la misma magntud.

Carga Q₁  = Carga Q₂  = Q

E₁ = K * Q₁ / (r/2)²   y    E₂  = K * Q₂/(r/2)²

Y además tendran direcciones totalmente opuestas, por lo que se anularan

En el segundo caso las cargas son iguales en magntud pero de diferentes signos ( una positiva y la otra negativa ). En este caso los campos eléctricos continuaran siendo de la msma magnitud pero dado que la carga positiva repele la carga de muestra (teorica) y la negativa la atrae los dos campos coinciden en su dirección y resultará una campo de magnitud doble. La dirección del campo será en la tendencia de acercarse a la caga negativa, así si la carga negativa está a la derecha la fuerza de origen eléctrico y el campo van hacia la derecha y si la carga negativa está a la izquierda pues esa será la diercción del campo

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main idea of Spanish Colonies in the Americas Three systems of two charged particles are shown below. All the particles have the same mass,and all are initially at rest. In System X, two positive charges are separated by distance d.System Y is similar, but one of the charges is negative. In System Z, both charges are positive,but one has twice the charge of the other and the distance between the charges is double that ofSystems X and Y. When the particles are released, they accelerate until all the electricalpotential energy is converted to kinetic energy.System X-9+Systemy --2dSystem z 9+29Rank the systems from the one with the greatest final kinetic energy to the one with the leastfinal kinetic energy?A. X=Z>YB. X>Z>YC. X=Z=YD. X=Y>Z Natural Causes of Climate Change:Pick one cause of natural climate change. Explain what it is and howit causes dimate change. What is the effect of the climate change?Helpp plzzz Question 3 Evaluate 2-8-2-3-12-6-2 Which of the following ideas would not be appropriate for an essaycomparing Philadelphia with Seattle?A. Philadelphia has more historic landmarks than Seattle.B. People in both cities are friendly and kind.C. I don't know much about Seattle and even less about Philadelphia.D. Seattle's climate is moderate, whereas Philadelphia's climate ismore extreme What is this problem: It is also a rational function. 6 / x^2 - 9 - 1 / x - 3 = 1 Answers: A) -1+-sqr(73) / 2 B)-4 C)2 D)3 or -4 How did slavery influence Texas to enter the Civil War? I dont understand this 1/3 divided by 42/5 divided by 44/7 divided by 42/5 divided by 3 5/6 divided by 55/8 divided by 10 A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells every day after that. How many cells of bacteria are there on day 5? 3 5 5 3 15 18 I need help ASAP! picture below is what I need I need help whats this. its about heart rate Match each decimal to its equivalent percent.12.5%10.88%0.12580%0.251%0.5%50%0.01100%0.50.0825%0.005 What is the answer pls help Help please!!!!Its making me struggle You spent 9.5 hours playing Among Usthis week. This is 2.75 hours more than thenumber of hours h you played last week.Which equation can be used to find h? What was the cause of food and other items being put into the tombs? The author states that the war itself was mostly a political and military disaster for the country. Why is this the case? What is the area of the shaded region?(25/1 - 48) cm(2571 - 30) cm (2572 - 24) cm(2571 12) cm2