Two spherical objects have masses of 200 kg and 500 kg. Their centers are separated by a distance of 25 m. Find the gravitational attraction between them.

Answers

Answer 1

Answer:

1.07 x 10⁻⁸N

Explanation:

Given parameters:

Mass 1 = 200kg

Mass 2  = 500kg

Distance of separation  = 25m

Unknown:

Gravitational attraction between the two bodies  = ?

Solution:

To solve this problem, we use the equation of the universal gravitation;

                 F  = [tex]\frac{G mass 1 x mass 2}{r^{2} }[/tex]  

G is the universal gravitation constant  = 6.67 x 10⁻¹¹Nm²kg⁻²

r is the distance

 Now insert the parameters and solve;

    F  = [tex]\frac{6.67 x 10^{-11} x 200 x 500 }{25^{2} }[/tex]   = 1.07 x 10⁻⁸N

Answer 2
The gravitational attraction between the objects is "1.0672×10⁻⁸ N".

Given:

Mass of objects,

[tex]m_1 = 200 \ kg[/tex][tex]m_2 = 500 \ kg[/tex]

Distance,

[tex]r = 25 \ m[/tex]

We know,

[tex]G = 6.67\times 10^{-11} \ Nm^2/kg^2[/tex]

As we know the relation,

→ [tex]F_G = \frac{Gm_1m_2}{r^2}[/tex]

By substituting the values, we get

        [tex]= 6.67\times 10^{-11}\times \frac{200\times 500}{(25)^2}[/tex]

        [tex]= 1.0672\times 10^{-8} \ N[/tex]

Thus the above answer is right.

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Related Questions

Calculate the force of gravity between two objects of masses 1300 kg and 7800 kg, which are 0.23 m apart.

Answers

Answer:

F = Gm1m2/r^2 where G = 6.67x10^-11, m1 =1300, m2 = 7800, r = 0.23m

F = 6.67x10^-11 *1300*7800/(0.23)^2 = 0.0127852N

Explanation:

Moji listed the solids in order of hardness as graphite < chalk < quartz. His
peer group suggested some experimental errors that may have caused this to
happen. Which experimental error most likely led Moji to this conclusion?
A. Moji might have used color as an indication of hardness.
B. Moji might have thought that crumbliness was a sign of softness.
C. Moji might have thought that crumbliness was a sign of hardness.
D. Moji could have chosen hardness tests that were not reliable.

Answers

Answer: D.

Explanation:

Moji listed the solids in order of hardness as graphite < chalk < quartz. because his peer group suggested some experimental errors that may have caused this to happen. The experimental error most likely led Moji to the conclusion that Moji could have chosen hardness tests that were not reliable. Therefore the correct option is D.

What is the matter?

Anything which has mass and occupies space is known as matter, mainly there are four states of matter solid liquid gases, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

There are various tests to judge the mechanical hardness of any solid  material such as the Rockwell hardness test, Brinell's hardness test,Vicker's diamond hardness test, and Knoop's hardness test which is also known as microhardness test

The experimental error most likely led Moji to the conclusion that Moji could have chosen hardness tests that were not reliable. Therefore the correct option is D.

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what is everyone's take on time travel?

Answers

Answer:

Its not really possible I don't think. UNLESS! You fall into a manhole then find a wirling vortex in the sewers! : )

Explanation:

How do scientists classify species?
A. By comparing the ages of individuals
B. By comparing common names
C. By comparing who discovered them
D. By comparing traits

Answers

Answer:

D. By comparing traits

Explanation:

Because age isn't genetic, as well as names, as well as who discovered, but traits are genetic.  

Answer:

D

Explanation:

A hoist lifts a 1200 N object a vertical distance of 15 m in 15 s. 18,000 J of work is done on the object to raise it at a constant speed. How much power is generated?

Answers

Answer:

1,200 W

Explanation:

18,000 J / 15s = 1,200 W

\\Choose the answer that is most descriptive the Milky Way Galaxy.//
A. Giant nebula's, star nurseries, gas clouds, binary stars.
B. Black holes, quasars, gamma rays, galaxy clusters.
C. 200-400 billion stars, 100,000 light years diameter, spiral arms.
D. Planets, stars, comets, asteroids, planet asteroids, moons.

Answers

Answer:

it is C i dont need no explanat

Explanation:

Emma has a remote control toy quadcopter. She flies it but immediately loses sight of it. She knows it only flew for 2 minutes in a straight line before landing on the ground. Which of the following would best help her locate the missing toy?

A. weight of quadcopter
B. velocity of quadcopter
C. distance of flight​

Answers

Answer:

C Distance

Explanation:

If she knows how far the plane went then she just goes that far from where it took off


1
1 point
Which of the following is a true statement about light?
Light cannot be wave and a particle.
Light travels at the same speed as a really loud sound.
Light waves must have a medium in which to transfer energy
Light travels at 3.0 x 108 m/s in a vacuum.

Answers

Answer:

Light travels at 3.0 x 108 m/s in a vacuum.

Explanation:

Light travels at 3.0 x 108 m/s in a vacuum.

what caused the rate of the erosion to change around 1905 and 1906

Answers

Answer:

What caused the slope to change around 1905 and 1906? Building the Canadian hydroelectric plant reduced the rate of erosion after 1906. This change in the rate of erosion is represented by the change in the slope on the graph. Hydroelectric dams convert kinetic energy from moving water to electrical energy.

Answer:

In 1906, around the time the Canadian hydroelectric plant began operating, the erosion rate decreased to approximately 0.7 meters per year.

Explanation:

Which statement describes the heat that results from the radioactive decay of elements deep in the Earth's interior?

Answers

Answer:

Try C as the answer, if it works do the thanks button! :D

Explanation:

C) It drives the convection currents in the mantle.

The radioactive decay of elements in the Earth's mantle and crust results in production of daughter isotopes and release of neutrinos and heat energy.The radioactive decay in Earth's crust and mantle continuously adds heat and slows the cooling of the Earth.The heat from radioactive decay is thought to be distributed in the crust and mantle layers of the planet, greatly influencing currents in the mantle.

Learn more:

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An object on Earth's surface has a mass of 18.7 kg. The object's weight is ________ N.

Answers

Answer:

The mass of an object is the same on Earth, in orbit, or on the surface of the Moon. ... the absence of air resistance, all objects fall with the same acceleration g. ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N ... What force does he apply if the stone accelerates at a rate of 1.5m/s2?

Explanation:

Define efficiency of a simple machine? Do you think that in actual practice the efficiency of a machine is 100°/•? If not, explain the reason?​

Answers

Explanation:

Part 1 :

The efficiency of a simple machine is defined as the ratio of useful work done by the machine ( output work ) to the total work put into the machine ( input work ).

Part 2 : [tex] \boxed{ \sf{No}}[/tex]

In practice , the work output of a machine is always less than the work input due to the effect of friction. Since, there is always some loss of energy in the machine , if the frictional force in machines increases , efficiency decreases. Because machines are not frictionless in practice , efficiency of a machine is never 100% or greater.

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Microwaves travel at the speed of light, 300,000 km/s. What is the wavelength of a microwave received at 1000 gigahertz?

Answers

Answer:

3 x 10⁻⁴m

Explanation:

Given parameters:

Speed of light  = 300000km/s

Frequency  = 1000gigahz  = 1000 x 10⁹Hz

Unknown:

Wavelength = ?

Solution:

To solve this problem, we use the expression below:

    V  = F ∧  

V is the speed

F is the frequency

∧ is the wavelength

      300000 = 1000 x 10⁹ x   ∧  

Wavelength  = 3 x 10⁻⁷km = 3 x 10⁻⁴m

e) Thermal energy is released during
some energy conversions.
True or false ?
F) If enough heat energy is absorbed by a liquid, the liquid solidifies.
True or false ?

Answers

Answer:

e) True, f) False

Explanation:

e) Let consider a close system, that is, a system with no mass interactions with surroundings. Then, we get the following expression by the First Law of Thermodynamics:

[tex]Q_{net,in} - W_{net, out} = \Delta U[/tex] (1)

Where:

[tex]Q_{net, in}[/tex] - Net input heat, measured in joules.

[tex]W_{net, out}[/tex] - Net output work, measured in joules.

[tex]\Delta U[/tex] - Change in thermal energy, measured in joules.

Please notice that work comprises all kind of work (i.e. mechanical, electric, magnetic), whereas heat comprises all heat interactions including chemical and radioactive phenomena.

If thermal energy is released, then [tex]\Delta U < 0[/tex], which is caused by three scenarios:

(i) [tex]Q_{net,in} < 0[/tex], [tex]W_{net, out} < 0[/tex], [tex]|Q_{net,in}|>|W_{net,out}|[/tex]

(ii) [tex]Q_{net, in} > 0[/tex], [tex]W_{net,out} > 0[/tex], [tex]|Q_{net,in}|<|W_{net, out}|[/tex]

(iii) [tex]Q_{net,in}< 0[/tex], [tex]W_{net, out}>0[/tex]

In the case [tex]Q_{net,in} > 0[/tex], [tex]W_{net, out} <0[/tex], the thermal energy of the system is increased. Therefore, thermal energy is released during some energy conversions. Answer: True

f) A liquid solidifies when temperature goes below point of fusion, meaning a realease of heat with no work interactions. That is:

[tex]Q_{net, in} = \Delta U[/tex], [tex]Q_{net, in} < 0[/tex] (2)

If [tex]Q_{net, in} < 0[/tex], then  [tex]\Delta U < 0[/tex]. Then, if a liquid absorbs heat energy, then thermal energy is increase and the liquid does not solidifies. Answer: False.

Can you hear this Picture???
If you know it, you get it

Answers

Answer:

Ah yes.. Beetlejuice

Explanation:

I hear it so well ngl

Which type of wave interaction is shown in the diagram?

Answers

Answer:

Destructive inference

Explanation:

I just took the test

The type of wave interaction that is shown in the diagram is destructive interference. The correct option is C.

Destructive interference happens when two or more waves mix in such a way that they cancel each other out, causing the amplitude (or intensity) of the resulting wave to drop or disappear entirely at specific places.

The crests of one wave line up with the troughs of another wave when waves interact destructively.

Due to the individual waves' displacements being in opposition to one another as a result of this alignment, the net displacement is zero or has a small amplitude.

The superposition principle, which states that when two or more waves collide at a location in space, the resulting displacement is the sum of the individual displacements of each wave at that point, is what causes the destructive interference event.

Thus, the correct option is C.

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Your question seems incomplete, the probable complete question is:

Which type of wave interaction is shown in the diagram?

A. Constructive interference.

B, Diffraction interference.

C. Destructive interference.

How much power must an engine have to lift a 10,000 kg safe at a constant velocity to a 26 m height in 5 seconds?​

Answers

Answer:

520kw or 520, 000w

Explanation:

Given that power equsls workdone /time taken

P=mgh

____

t

M=10, 000kg

h=26m

T=5sec

g=10m/s²

Recall:

P=mgh/t

P=10,000×10×26/5

P=20,000×26

P=520,000w or 520kw

ANSWER ASAPPP

Rosario’s science teacher gives her three liquid substances. The substances are red, clear, and blue. Rosario places the three substances in a graduated cylinder as shown.


What is the relative density of the substances given this arrangement?

densest: blue; medium dense: clear; least dense: red
densest: clear; medium dense: blue; least dense: red
densest: red; medium dense: clear; least dense: blue
densest: clear; medium dense: red; least dense: blue

Answers

Answer:

densest: blue; medium dense: clear; least dense: red

Explanation:

i've done this question before :)

Atom X has an atomic number of 10. Atom Y has an atomic number of 4. All of these statements about atoms X and Y are correct except

A . atom X has 8 valence electrons
B. atom Y is less reactive than atom X
C. atom Y has 2 valence electrons
D atom X has the same number of energy levels as atom Y

Answers

A is the correct answer b

1. The resultant force on a ball is not zero. What will happen to the ball? *
(1 Point)
It will move or change direction.
O it will remain stationary.
O it will spin on its axis.

Answers

Answer:

it will more and change direction

Explanation:

because the resultant force (R) is not equal zero so may be there is a force greater than the other one and the ball will more in the direction of greater force.

and it can't be remain stationary because R=! 0 .

Help, please! I really don't understand potential and kinetic energy

Answers

C because he has energy stored in his muscles by contracting them and will soon stretch them explosively to release me Eric energy

Answer:

C is the correct answer.

Roller coasters accelerates from initial speed of 6.0 M/S2 final speed of 70 M/S over four seconds. What is the acceleration?

Answers

Answer:

[tex]a=16\ m/s^2[/tex]

Explanation:

Motion With Constant Acceleration

It's a type of motion in which the velocity of an object changes uniformly in time.

The formula to calculate the change of velocities is:

[tex]v_f=v_o+at[/tex]

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The roller coaster moves from vo=6 m/s to vf=70 m/s in t=4 seconds. To calculate the acceleration, solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

[tex]\displaystyle a=\frac{70-6}{4}=\frac{64}{4}[/tex]

[tex]\boxed{a=16\ m/s^2}[/tex]

the diameter of the moon is _____ that of the earth
answers:
2/3
1/4
1/2
1/3​

Answers

Answer:

2,158.8 mi?

Explanation:

sorry if this is wrong

A pendulum consists of a 2.0 kg stone swinging on a4.0 m string of negligible mass. The stone has a speed of 8.0 m/swhen it passes its lowest point. (a) What is the speed when thestring is at 60# to the vertical? (b) What is the greatest angle withthe vertical that the string will

Answers

Answer:

a) [tex]v_{60^{o}} =4.98 m/s[/tex]

b) [tex]\theta_{max}=79.34^{o}[/tex]

Explanation:

This problem can be solved by doing an energy analysis on the given situation. So the very first thing we can do in order to solve this is to draw a diagram of the situation. (see attached picture)

So, in an energy analysis, basically you will always have the same amount of energy in any position of the pendulum. (This is in ideal conditions) So in this case:

[tex]K_{lowest}+U_{lowest}=K_{60^{o}}+U_{60^{0}}[/tex]

where K is the kinetic energy and U is the potential energy.

We know the potential energy at the lowest of its trajectory will be zero because it will have a relative height of zero. So the equation simplifies to:

[tex]K_{lowest}=K_{60^{o}}+U_{60^{0}}[/tex]

So now, we can substitute the respective equations for kinetic and potential energy so we get:

[tex]\frac{1}{2}mv_{lowest}^{2}=\frac{1}{2}mv_{60^{o}}^{2}+mgh_{60^{o}}[/tex]

we can divide both sides of the equation into the mass of the pendulum so we get:

[tex]\frac{1}{2}v_{lowest}^{2}=\frac{1}{2}v_{60^{o}}^{2}+gh_{60^{o}}[/tex]

and we can multiply both sides of the equation by 2 to get:

[tex]v_{lowest}^{2}=v_{60^{o}}^{2}+2gh_{60^{o}}[/tex]

so we can solve this for [tex]v_{60^{o}}[/tex]. So we get:

[tex]v_{60^{o}}=\sqrt{v_{lowest}^{2}-2gh_{60^{0}}}[/tex]

so we just need to find the height of the stone when the pendulum is at a 60 degree angle from the vertical. We can do this with the cos function. First, we find the vertical distance from the axis of the pendulum to the height of the stone when the angle is 60°. We will call this distance y. So:

[tex]cos \theta = \frac{y}{4m}[/tex]

so we solve for y to get:

[tex]y = 4cos \theta[/tex]

so we substitute the angle to get:

y=4cos 60°

y=2 m

so now we can find the height of the stone when the angle is 60°

[tex]h_{60^{o}}=4m-2m[/tex]

[tex]h_{60^{o}}=2m [/tex]

So now we can substitute the data in the velocity equation we got before:

[tex]v_{60^{o}}=\sqrt{v_{lowest}^{2}-2gh_{60^{0}}}[/tex]

[tex]v_{60^{o}} = \sqrt{(8 m/s)^{2}-2(9.81 m/s^{2})(2m)}[/tex]

so

[tex]v_{60^{o}}=4.98 m/s [/tex]

b) For part b, we can do an energy analysis again to figure out what the height of the stone is at its maximum height, so we get.

[tex]K_{lowest}+U_{lowest}=K_{max}+U_{max}[/tex]

In this case, we know that [tex]U_{lowest}[/tex] will be zero and [tex]K_{max}[/tex] will be zero as well since at the maximum point, the velocity will be zero.

So this simplifies our equation.

[tex]K_{lowest} =U_{max}[/tex]

And now we substitute for the respective kinetic energy and potential energy equations.

[tex]\frac{1}{2}mv_{lowest}^{2}=mgh_{max}[/tex]

again, we can divide both sides of the equation into the mass, so we get:

[tex]\frac{1}{2}v_{lowest}^{2}=gh_{max}[/tex]

and solve for the height:

[tex]h_{max}=\frac{v_{lowest}^{2}}{2g}[/tex]

and substitute:

[tex]h_{max}=\frac{(8m/s)^{2}}{2(9.81 m/s^{2})}[/tex]

to get:

[tex]h_{max}=3.26m[/tex]

This way we can find the distance between the axis and the maximum height to determine the angle of the pendulum about the vertical.

y=4-3.26 = 0.74m

next, we can use the cos function to find the max angle with the vertical.

[tex]cos \theta_{max}= \frac{0.74}{4}[/tex]

[tex]\theta_{max}=cos^{-1}(\frac{0.74}{4})[/tex]

so we get:

[tex]\theta_{max}=79.34^{o}[/tex]

The speed when the string is at 60 degrees to the vertical is approximately 8.85 m/s. The greatest angle with the vertical that the string will make is approximately 57.6 degrees.

(a) To find the speed when the string is at 60 degrees to the vertical, we can apply the conservation of mechanical energy between the lowest point (initial position) and the 60 degrees point (final position).

At the lowest point, all of the gravitational potential energy is converted into kinetic energy:

m × g × h = (1/2) × m × v²

v = √(2 × g × h) = √(2 × 9.8 × 4.0) ≈ 8.85 m/s.

Therefore, the speed when the string is at 60 degrees to the vertical is approximately 8.85 m/s.

(b) The greatest angle with the vertical that the string will make, we need to determine the maximum height reached by the stone. At the highest point, all of the kinetic energy is converted into gravitational potential energy:

(1/2) × m × v² = m × g  h(max)

h(max) = (v²) / (2 × g) = (8.0²) / (2 × 9.8) ≈ 3.27 m.

Using the sine function:

sin(Θ) = h(max) / 4.0,

Θ = sin⁻¹(h(max) / 4.0) ≈ sin⁻¹(3.27 / 4.0) ≈ 57.6 degrees.

Therefore, the greatest angle with the vertical that the string will make is approximately 57.6 degrees.

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Question 1 (5 points) What is the frictional force acting on a 100 kg box as it moves across the floor with an acceleration of 1.5 m/s2, if the applied force is 300N? -150 N Ob 150 m/s2 C 150 N od -300 N Review Answers​

Answers

Answer:HJKGFHJYKIUGFJDTGYKUGFJDSX

Explanation:65TTY6Y Y YY. ;D DDS

HVC BJCHGNMGHJFYIKUHYGFTR6457TY8IUOHJKGYTDYR567YUOI8HJKBGJMVHDTR5E46T7Y TFGDGHYUFVYH T7UYGHUGFTY Y6TURF67URY

Which statement describes an example of destructive interference?
A. Light shining on a surface has gaps after passing through two slits.
B. Light shining on a DVD surface produces different colors.
C. The inside of a seashell appears to be many different colors.
D. A lamp lights an area around a corner.​

It's A

Answers

A Jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answer:

A

Explanation: Just did the test:)

Which type of wave is represented in this picture?

Answers

Answer:

The first one with the rope would be a transverse wave and the second with the slinky would be a longitudinal wave

help?? ASAP ill give brainlist

Answers

Answer:

i think its a wave length

The microwaves have a frequency of 1.8 x 10^9 Hz and travel at a speed of 3.0 x 10^8 m/s.
Calculate the wavelength of the microwaves. Give your answer to two significant figures

Answers

Answer:

0.17 m

Explanation:

The formula to apply in this question is that of speed of light.

The speed of the microwaves :

v = f * λ ------where f is frequency of the microwave, λ is the wavelength  and v is the speed of the wave

3.0 x 10⁸ = 1.8 x 10⁹ *λ

3.0 x 10⁸ / 1.8 x 10⁹ = λ

λ  = 0.16666666666

λ = 0.17 m { two significant figures}

A solution containing 3.4 moles of pl3 and one l water

Answers

Answer:

c

Explanation:

c

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