Katie and Mark sit next to one another in class. She has a mass of 40 kg and his mass is 65 kg.
If they are 0.5 meters apart, what is the gravitational force between Mark and Katie?

Answers

Answer 1
A :-) for this question , we should apply
F = GMm by d^2
( For making the calculation easy , first remove the decimals )
Given : G = 6.7 x 10^-11 Nm^2 / kg^2
= 67 x 10^-12 Nm^2 / Kg^2
M = 65 kg
m = 40 kg
d = 0.5 m
Solution -
F = GMm by d^2
F = 67 x 10^-12 x 65 x 40 by 0.5 x 0.5
F = 4355 x 40 x 10^-12 by 0.25
F = 174200 x 10^-12 by 0.25
F = 696800 x 10^-12

.:. The Gravitational force between mark and Katie is 696800 x 10^-12

Related Questions

4. Density is a property of all matter.
True
False
Neither true or false due to lack of information

Answers

Pretty sure it’s true

An electric heater is rated 1000watts. If a current of 5A pass through the heater, find the value of its resistance.​

Answers

Answer: R=40 Ω

Explanation: [tex]P=I^{2} R[/tex]

R=1000/ (25)=40

The asteroid, Ida, has a small moon, Dactyl, that orbits at a speed of 5.66 m/s in an orbit of radius 90, 000m . What is Ida's mass?

Answers

Answer:

4.3 x 10^16 kg

Explanation:

M = rv^2/G =[90,000 x 5.66^2] / [6.67 x 10^-11]

M = 43,226,446,776,611,694 = 4.3 x 10^16 kg - Ida's mass.

Answer:

Explanation:

the person on top of me was correct 4.3 10^16 i have it in my notes from when i was in school :) so they are right

A textbook is pushed across a desk. It experiences what type of force ​

Answers

Answer:

kinetic friction force

Explanation:

Think about the difference between thermal energy and temperature. How might the melting icicles gain energy without changing temperature.
Ok someone pls answer this BY TM.

Answers

The melting icicles gain energy without changing temperature because the kinetic energy of the individual particles increases but the average kinetic energy or the temperature does not.

What is the difference between thermal energy and temperature?

Thermal energy is a measure of the total kinetic energy of the particles of a substance. Thermal energy transfer is i the form of heat. Thermal energy is measured in Joules.

Temperature on the other hand is a property of a substance that exists as a result of differences in the heat content. Temperature is measured in celsius or Kelvin.

Therefore, a substance may have increased heat content without a detectable temperature increase.

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A positive charge is 1 m to the left of a negative charge. The positive charge is then moved and placed 1 m to the right of the negative charge. What happens to the electrostatic force between the charges?
The electrostatic force remains attractive, and the magnitude does not change.
The electrostatic force remains repulsive, and the magnitude does not change.
The electrostatic force remains repulsive, but the magnitude changes.
The electrostatic force remains attractive, but the magnitude changes.

Answers

Answer:

Option (a) is correct.

Explanation:

Let the magnitude of the positive charge = [tex]q_1[/tex] and the magnitude of the negative charge = [tex]q_2[/tex]

Earlier, the distance between both the charge, d = 1m

By using Coulomb's law, the magnitude of the force between two charge

[tex]F=k\frac {q_1 q_2}{d^2}[/tex], where k is a constant.

So, the magnitude of the force in the initial configuration,

[tex]F_i = k\frac {q_1 q_2}{1^2}= k q_1q_2\cdots(i)[/tex]

The nature of the force is attractive, as both the charges are opposite in nature.

On replacing the positive charge from 1m left to 1 m right side of the negative charge, the distance between the charges remains the same, i.e d=1m.

Moreover, the magnitude, and nature of each charge, [tex]q_1[/tex] as well as [tex]q_2[/tex], are remain the same.

So, the magnitude of the force in the final configuration,

[tex]F_f = k\frac {q_1 q_2}{1^2}= k q_1q_2[/tex]

From equation (i), [tex]F_f=F_i[/tex]

The nature of the force is attractive, as both the charges are opposite in nature.

So, the electrostatic force remains attractive, and the magnitude does not change.

Hence, option (a) is correct.

When the electrostatic force lies between the charges so here the force should remain attractive, also the magnitude should remain the same.

Impact on the electrostatic force:

Here we assume the magnitude of the positive charge should be q1 and the magnitude of the negative charge should be q2

Also, the distance between the charge should be d = 1 m

So here we use the columb law

F = kq1q2/d2

here k should be constant

Here the nature of the force should be attractive since the both the charges should be opposite.

Hence, the first option is correct.

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1
Assertion (A): Potential energy of a body depends upon height of the body from the surface of earth.
Reason (R): Potential energy and height of the body from ground are directly proportional to each
other (h«<r)
a) Both A and R are true and R is the correct explanation of A
[ ]
b) Both A and R true and R is not the correct explanation of A
c) A is true but Ris false
d) A is false but R is true
beha​

Answers

Answer:

a

Explanation:

it increases with increasing height

The property of an object at rest to remain at rest is known as??

Answers

Answer:

inertia

Explanation:

What is the net force (including direction and magnitude) acting on the object on the above left?

Answers

Answer:

Explanation:

the net force on the right left is 25 N and is directed upward

the net force on the left one is zero because 200N force act upward and 200N force act downward so both cancel each other and net force is zero

i hope this will help you

The net force on the right left is 25 N and is directed upward.

The net force on the left one is zero because 200 N force act upward and 200 N force act downward so both cancel each other and net force is zero.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

By looking at both figure we get idea of net force after calculation,

The net force on the right left is 25 N and is directed upward.

The net force on the left one is zero because 200 N force act upward and 200 N force act downward so both cancel each other and net force is zero.

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Hi, I don't really know I just guessed.

Answers

Answer:

direction

Explanation:

Need help solving this question.

Answers

Answer:

See the answers below.

Explanation:

to solve this problem we must make a free body diagram, with the forces acting on the metal rod.

i)

The center of gravity of the rod is concentrated in half the distance, that is, from the end of the bar to the center there is 40 [cm]. This can be seen in the attached free body diagram.

We have only two equilibrium equations, a summation of forces on the Y-axis equal to zero, and a summation of moments on any point equal to zero.

For the summation of forces we will take the forces upwards as positive and the negative forces downwards.

ΣF = 0

[tex]-15+T-W=0\\T-W=15[/tex]

Now we perform a sum of moments equal to zero around the point of attachment of the string with the metal bar. Let's take as a positive the moment of the force that rotates the metal bar counterclockwise.

ii) In the free body diagram we can see that the force acts at 18 [cm] of the string.

ΣM = 0

[tex](15*9) - (18*W) = 0\\135 = 18*W\\W = 7.5 [N][/tex]

what is theory of relativity and why this theory made??????
I will give brainlist no google ans I will check
..​

Answers

Answer:

e=mc2 made to relate mass with energy . bcoz energy can neither b created nor b destroyed

Answer:

Leave it bro!!!.....

I have got members!!!

But if you want then come up from my id #LV89QRGCL

Which boat experience the most force? *

Answers

Answer:

not sure u dont show anything??

Explanation:

Answer:

no idea

Explanation:

Calculate Vector component in Y if the hypotenuse is 32 and angle is 45

Answers

Answer:

The correct option is;

c. 22.6

Explanation:

The given parameters are;

The hypotenuse of the vector = 32

The angle of the vector = 45°

Therefore, the vector component in the y-axis is given as follows;

[tex]v_y = v \times sin(\theta)[/tex]

Substituting the values from the question gives;

[tex]v_y = 32 \times sin(45^{\circ}) \approx 22.6[/tex]

The vector component in the y-axis, [tex]v_y[/tex], is approximately 22.6.

Calculate the pressure exerted by the elephant (24000 Newtons) on the ground, assuming that
the total area of its feet is 0.8 m2.​

Answers

Answer:

3000 Pa

Explanation:

The pressure exerted by the elephant can be found by using the formula

[tex]p = \frac{f}{a} \\ [/tex]

f is the force

a is the area

From the question we have

[tex]p = \frac{2400}{0.8} \\ [/tex]

We have the final answer as

3000 Pa

Hope this helps you

If
you
increased one mass 2 times and another
mass by 4 times how would the force of gravity
between them change?

Answers

Answer:

A factor of 2*4 = 8

Explanation:

F_g = (G*m1*m2)/r^2  

where m1 and m2 are the two masses, G is Newton's gravitational constant, and r is the distance between the center of mass of the two objects.

So, if you double m1 and quadruple m2:

m1' = 2*m1

m2' = 4*m2

Then F_g' = (G*m1'*m2')/r^2 = (G*2*m1*4*m2)/r^2 = 8*(G*m1*m2)/r^2 = 8*F_g

A storage tank contains a liquid at depth y where y=0 when the tank is half full. liquid is withdrawn at a constant flow rate q to meet demands. the contents are resupplied at a sinusoidal rate 3qsin2(t). the equation can be written for this system as the

Answers

Answer:

y(t) = [tex]\frac{3Q}{2A} ( t - 1/2 sin2t ) - \frac{Q}{A} t + C[/tex]

Explanation:

Given data :

storage tank contains a liquid at depth ; Y

when tank is half full ;  y = 0

flow rate = q

sinusoidal rate = 3Q [tex]sin^{2} (t)[/tex]

Determine how the equation can be written for this system

solution is attached below

note ; from the question it can be seen that the surface area ( A )  is constant

Usain Bolt ran 100 m in 9.58 s, reaching a final speed of 12.43 m/s. What was his acceleration?

Answers

Answer:

1.3m/s²

Explanation:

Given parameters:

Distance  = 100m

Time taken  = 9.58s

Final speed  = 12.43m/s

Unknown:

Acceleration = ?

Solution:

Acceleration is the rate of change of velocity with time; to solve this problem, we apply one of the motion equation;

   v  = u + at

v is the final speed

u is the initial speed

a is the acceleration

t is the time

 u  = 0m/s

Insert the parameters and solve;

      12.43  = 0 + a x 9.58

     12.43  = 9.58a

       a  = [tex]\frac{12.43}{9.58}[/tex]   = 1.3m/s²

1. A pendulum is 0.25 m long. What is the frequency of its oscillations?
How do you solve this

Answers

Answer:

hi

Explanation:

hi

Liam wants to determine if foam is a good insulator. He decides to connect wires to two ends of a battery and then connect one wire to each end of a foam cup. Which inquiry skill is Liam using?

Answers

Answer: liain is using lucid mode

Explanation:btw im from canida so sorry if its wrong

can I get some help on this​

Answers

Answer:

sound

Explanation:

but im not exactlly sure so sorry if its wrong.

Answer:

It's Surface wave

Explanation: It travels in a circular motion. The particles travel both parallel and perpendicular in the direction of the wave-

how much work is done by a person if he stand carrying a load of 50 kg at the height of 1 metre

Answers

Totalmassm=50+20=70
heighth=20×0.2=4m
workdone=mgh=70×10×4
=2800

In a container of negligible mass, 0.0400 kg of steam at 100∘C100 ∘ C and atmospheric pressure is added to 0.200 kg of water at 50.0∘C50.0 ∘ C.
(a) If no heat is lost to the surroundings, what is the final temperature of the system?
(b) At the final temperature, how many kilograms are there of steam and how many of liquid water?

Answers

A - 100 C°
B - 0.0214 kg and 0.219 kg

Hope this helped out! Have a nice day :)

If no heat is lost to the surroundings, the final temperature of the system is 100 C°,  At the final temperature, 0.0214 kg and 0.219 kg kilograms are there of steam and how many of liquid water

What is heat ?

heat can be defined as the form of energy that is spontaneously transferred from one object to another object as the differences in temperatures is otherwise called as heat transfer.

The Heat transfer occurs  upto the  equilibrium point of an object has been reached.

Internal Energy is the total amount of energy of all the molecules of a body is the internal energy within the object.

Specific Heat or heat capacity, is   the amount of energy required to produce a unit change in its temperature.

For more details  heat,  visit

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Calculate the lateral displacement of a ray of light incident at an angle of 30o on a parallel – sided block of glass of thickness 40.0 mm and refractive index 1.6.

Answers

The lateral displacement is I don’t know tbh I think 16.8

You place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water. Which observation is correct and why? A The food coloring in the hot water will spread more slowly than in the cold water because water molecules move more slowly when hot. B The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot. C The food coloring in the cold water will spread more quickly than in the hot water because water molecules move more quickly when cold. D The food coloring in the cold water will spread at the same rate at the food coloring in the hot water because water molecules at any temperature move at the same rate.

Answers

Answer:

B food coloring will move quicker in hot water because the molecules move faster when they are hot

Explanation:

SCIENCE! aaaaand my physics text book

Option B is correct:  The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot since they have more kinetic energy.

Kinetic energy of the molecules:

According to the question, we place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water and then observe the spreading of the blue color in both the cups.

Option B will be correct because the kinetic energy of the molecules of a gas or a liquid is directly proportional to the absolute temperature of the gas or the liquid.

High kinetic energy means that the molecules will have higher velocity, which will make it easier for any solvent to dissolve in water since it will spread faster.  

So the cup which has water at a higher temperature will have a faster spread of the food coloring.

Learn more about kinetic energy:

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can you please help me?

Answers

Answer:

Iron, You're Welcome :)

Answer:

iron

Explanation:

A ball is dropped from a height of 50 meters above the ground. What is its velocity the moment it hits the ground?

Answers

Answer:

The distance is 45m. (s)

Acceleration is 9.8 m/s^2 (acceleration due to gravity). (a)

We have to find the time (t)

By the 3rd equation of motion,

s = ut + 1/2 at^2 (here u is the initial velocity of the ball)

Since the initial velocity was 0 m/s, the formula becomes s = 1/2 at^2.

(substituting the values in the formula)

45 = 1/2 x 9.8 x t^2

45 = 9.8/2 x t^2

45 = 4.9 x t^2 (9.8/2 = 4.9)

(divide 4.9 on both sides)

45/4.9 = 4.9 x t^2 / 4.9

9.1836 = t^2

3.030 = t

So it takes approximately 3 seconds for the ball to reach the surface of the earth (neglecting air resistance). You can try the same with 50 m .

The velocity of the ball the moment it hits the ground is equal to 31.3 m/s.

What is the equation of motion?

Equation of motion has established a relation between the velocity of the body and acceleration of the body when the body is moving with uniform acceleration along a straight line. The distance traveled in a specific time has expressed a set of equations termed equations of motion.

The first equation of motion can be expressed as follows:

v = u + at

The second equation of motion can be expressed as follows:

S= ut + (1/2)at²

Where u is the initial velocity of a body, v is the final velocity, S is the distance, a is the acceleration and t is the time.

Given, the distance traveled by the ball, S = 50 m

and, the initial velocity of the ball, u = 0 as ball is at rest initially.

From the second equation of motion, find the value of 't':

50 = (0) t + (1/2)× (9.8) ×(t²)

t = 3.19 sec

Now from the first equation of motion, find the value of the final velocity of the ball:

v = (0) + (9.8) (3.19)

v = 31.3 m/s

Therefore, the ball hits the ground with a velocity of 31/3 m/s.

Learn more about the equation of motion, here:

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State two effects of a force when applied on a body.​

Answers

Answer:

A force acting on an object may cause the object to change shape, to start moving, to stop moving, to accelerate or decelerate. When two objects interact with each other they exert a force on each other, the forces are equal in size but opposite in direction.

Explanation:

Please mark me as the brainliest answer

Applying force can change shape, stop movement, to start moving, to accelerate and to decelerate.


When two objects interact with each other they exert a force on each other, the forced are equal in size but opposite in direction

Please help me out if you want brainliest !!!!! ASAP easy

Answers

Answer:

Road A = 8 meters Wet

Road B = 2 meters Muddy

Road C = 12 meters Dry

Explanation:

Would time travel ever be possible? If so how and through what extensive process would it might be possible.

Answers

Answer:

There are two ways we may, one day, be able to time travel forwards.

You may have heard of Cryogenics. This is when someone who’s died is frozen instead of being buried or cremated. The theory is they can be “woken up” in the future when we have the technology to bring them back to life. Or a machine or device could be developed so that some people age more slowly than others around them. This way they’d live longer and see a future beyond the average person’s life span.  

Another very different way of travelling into the future is more like what you’d see in science fiction. This is might involve travelling in a rocket or spaceship at a very high speed, close to the speed of light. “We can’t establish equality with the speed of light but it is possible, in theory, to travel nearly as fast as the speed of light,” adds Dr Steane.  

So imagine you’re in a spaceship travelling very fast away from the Earth and you stay in orbit for a year. You would age at the same rate as if you were still on the Earth, by a year, but when you returned, the earth may have aged hundreds of years. “This is way beyond the technology we have at the moment,” he says. “But... in theory, it is possible.”

Explanation:

Hope this helped!

Answer:

It is and is not possible and if it is there are many factors to it at many dire consequences that come if we somehow interact with the people from the past

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