a 5.00 kg mass is at the origin. a 7.00 kg mass is located at x = 0.600 m, and a 4.00 kg mass is at x = 0.900 m. What is the net gravitational force on the 5.00 kg mass?

Answers

Answer 1

Answer:

Given,

A 5 kg mass is at the origin. A 7 kg mass is located at x = 0.6 m and a 4 kg mass is at x = 0.9 m.

To find,

the net gravitational force on the 5 kg mass.

we know, from Newton's gravitational law, two massive bodies attract each other by a force , F = Gm₁m₂/r²

so, 7 kg mass attracts 5kg mass by the force, F₁ = G(7kg)(5kg)/(0.6)²

= 35G/0.36 = 97.22G

similarly, 4kg mass attracts 5kg mass by the force, F₂ = G(4kg)(5kg)/(0.9)²

= 20G/0.81 = 24.69G

net gravitational force = F₁ + F₂

= 97.22G + 24.69G

= 121.91G

we know, G = 6.67 × 10¯¹¹ Nm²/Kg²

F = 121.91 × 6.67 × 10¯¹¹

= 813.1397 × 10¯¹¹ N

= 8.131397 × 10^-9 N ≈ 8.13 × 10^-9 N

Therefore net gravitational force acting on mass 5kg is 8.13 × 10^-9 N


Related Questions

what is steam engine it's action and reaction​

Answers

Explanation:

steam shooting out through 2 l shaped Falls creators and action force that is accompanied by backward reaction in force in opposite direction

To win the game, a placekicker must kick a football from a point 44 m (48.1184 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 24 m/s at an angle of 31◦
from the horizontal.
The acceleration of gravity is 9.8 m/s^2.
By how much vertical distance does the ball clear the crossbar?
Answer in units of m.

Answers

Answer:

The distance by the ball clear the crossbar is 1.15 m

Explanation:

Given that,

Distance = 44 m

Speed = 24 m/s

Angle = 31°

Height = 3.05 m

We need to calculate the horizontal velocity

Using formula of horizontal velocity

[tex]u_{x}=u\cos\theta[/tex]

Put the value into the formula

[tex]u_{x}=24\cos(31)[/tex]

[tex]u_{x}=20.5\ m/s[/tex]

We need to calculate the vertical velocity

Using formula of vertical velocity

[tex]u_{y}=u\sin\theta[/tex]

Put the value into the formula

[tex]u_{y}=24\sin(31)[/tex]

[tex]u_{y}=12.3\ m/s[/tex]

We need to calculate the time

Using formula of time

[tex]t=\dfrac{d}{u_{x}}[/tex]

Put the value into the formula

[tex]t=\dfrac{44}{20.5}[/tex]

[tex]t=2.1\ sec[/tex]

We need to calculate the vertical height

Using equation of motion

[tex]h=u_{y}t+\dfrac{1}{2}at^2[/tex]

Put the value into the formula

[tex]h=12.3\times2.1-\dfrac{1}{2}\times9.8\times(2.1)^2[/tex]

[tex]h=4.2\ m[/tex]

We need to calculate the distance by the ball clear the crossbar

Using formula for vertical distance

[tex]d=h-3.05[/tex]

Put the value of h

[tex]d=4.2-3.05[/tex]

[tex]d=1.15\ m[/tex]

Hence, The distance by the ball clear the crossbar is 1.15 m

Propane burns in oxygen to produce carbon dioxide and water. What are the chemical formulas of the reactants and products? The formulas of the reactants are C3H8, O, and CO2. The formula of the product is H2O. The formulas of the reactants are C3H8 and O2. The formulas of the products are CO and H2O. The formulas of the reactants are C3H8 and O2. The formulas of the products are CO2 and H2O.

Answers

Answer:

The formulas of the reactants are C3H8 and O2. The formulas of the products are CO2 and H2O.

Explanation:

Propane is the third member of the alkane group with the general formula CnH2n+2. According to this question, propane burns in oxygen to produce carbon dioxide and water. This means that propane and oxygen are the reactants of this reaction while carbon dioxide and water are the products.

The chemical formulas of the respective reactants and products are as follows:

REACTANTS:

Propane = C3H8 i.e C3H(2×3)+2

Oxygen = O2

PRODUCTS:

Carbon dioxide = CO2

Water = H2O

The balanced chemical reaction is as follows:

C3H8 + 5O2 ----> 3CO2 + 4H2O

Answer:

Option C would be your answer!

The formulas of the reactants are C3H8 and O2. The formulas of the products are CO2 and H2O.

Also, for the second part, the answer is Option B!

C3H8(g) + 5O2(g) → 3CO2(g) + 4H2O(g)

Explanation:

This is correct on Edge! :D

I hope this helped!

How far did the object travel by the end of eight seconds, according to the graph above?
A) It traveled 4 centimeters.
B) It traveled 8 centimeters.
C) It traveled 12 centimeters.
D) It traveled 20 centimeters.

Answers

Answer:

The object traveled 4 cm by the end of eight seconds. Correct: A)

Explanation:

Speed vs Time Graph

In a speed-time graph, speed is plotted on the vertical axis and time is plotted on the horizontal axis. If the graph is a horizontal line, the speed is constant, if the line is sloped up, the speed is increasing and the acceleration is positive and constant, and if the line is sloped down, the speed is decreasing and the acceleration is negative and constant.

The distance traveled by the object can be found by calculating the area under the graph and above the x-axis.

The graph provided shows two different zones: the first 4 seconds, the speed is constant at 1 cm/s, and the last 4 seconds, the speed is zero, i.e. the object is not moving.

The area behind the first zone is a rectangle of height 1 cm/s and base 4 sec, thus the distance is 1 * 4 = 4 centimeters.

The second zone corresponds to an object at rest, thus no distance is traveled.

The object traveled 4 cm by the end of eight seconds.

A) Correct. As shown above

B) The distance traveled is 4 cm. Incorrect

C) The distance traveled is 4 cm. Incorrect

D) The distance traveled is 4 cm. Incorrect

A group of stars connected by lines is circled and labeled Saturn.

The night sky is filled with images of wild animals. Which animal is the circled constellation named after?


scorpion

serpent

snake

salamander

Answers

Answer: scorpion I think

Which phenomenon is an example of electric discharge?

A) Friction


B) Lightning


C) Magnetism


D) Static cling

Answers

I think it is D pls don’t get mad if is wrong I am not really sure

An airplane flying at a speed of 130 mi/h (58.1 m/s) and at an altitude of 4.9 km drops a food package. Without a parachute, at what angle (degrees) below the horizontal will the package strike the ground?

Answers

The food package will strike the ground at 11 degrees below the horizontal.

Time for the food package to hit the ground

The time for the food package to hit the ground is calculated as follows;

h = vt + ¹/₂gt²

let the initial velocity be horizontal

4900 = 0(t) + (0.5 x 9.8)t²

4900 = 4.9t²

t² = 4900/4.9

t² = 1,000

t = √1,000

t = 31.62 s

Final speed of the food package when it hits ground

vf(y) = vo + gt

vf(y) = 0 + (31.62 x 9.8)

vf(y) = 309.88 m/s

Angle of projection

The horizontal component of the speed will be constant, while vertical component will change

[tex]tan(\theta ) = \frac{V_y}{V_x} \\\\\theta = tan^{-1} (\frac{V_y}{V_x})\\\\\theta = tan^{-1} (\frac{309.88}{58.1} )\\\\\theta = 79^0[/tex]

Angle below the horizontal = 90 - 79 = 11⁰

Thus, the food package will strike the ground at 11 degrees below the horizontal.

Learn more about angle of projection here: https://brainly.com/question/10671136

Which pair does NOT have an electric force between them?.

Answers

Two neutral objects will not have any electric force of attraction or repulsion between them.

What is the condition for the electric force between two objects?

As we know from the electrostatics that whenever there are two charges having a positive charge on one and a negative on the other will attract each other

similarly, if they are having like charges which are both of them having positive or both of them having a negative charge then there will be a force of repulsion between them.

But if both of them or even one of them is neutral then there will not be any electric force between them.

Thus neutral objects will not have any electric force of attraction or repulsion between them.

To know more about the nature of charged particles follow

https://brainly.com/question/22492496

Which type of force is shown in the image?

Answers

Answer:

D contact force

Explanation:

What’s the mass of the sample please help me!

Answers

Answer:

A. 0,11

Explanation:

Sorry if wrong. i hope this helps. thank you.

1. A mass of 630g is hung on a spring. Using Force = mass x gravity, what is the force of the mass, acting on the spring?

Answers

Answer:

The answer is 6.3

Explanation:

[tex]f \: = \: m(kg) \times g( \frac{n}{kg} )[/tex]

[tex]f \: = \: 630 \times {10}^{ - 3} \times 10 = 6.3[/tex]

The normal force acting on a body is the weight by gravitational pull of earth. The force acting on the hanging mass of 630 g is 6.17 N.

What is force?

Force is an external agent acting on a body to deform it or to change it from the state of rest or motion. Force is a vector quantity having both magnitude and direction.

A  normal force acting on a body is due to its weight by gravitational pull of earth. The force of gravitation is a kind of force by which an object attracts other objects into its centre of mass. The strength of force depends on the mass of the object.

The weight of an object in earth is the product of its mass and gravity. The acceleration due to gravity on earth is 9.8 m/s². Therefore, the force by weight of the hanging mass of 630 g or 0.630 Kg is :

0.63 × 9.8 m/s² = 6.17 N.

To find more on gravitational force, refer here:

https://brainly.com/question/12528243

#SPJ2

On an average, a human heart is found to beat 75 times in a minute. Calculate its frequency and time period.

Answers

1 min=60sHeart beats per minute=75

Frequency=

75/60=5/4=1.25s^{-1}

Now

Time period:-

[tex]\\ \rm{:}\dashrightarrow \dfrac{1}{\nu}[/tex]

[tex]\\ \rm{:}\dashrightarrow \dfrac{1}{1.25}[/tex]

[tex]\\ \rm{:}\dashrightarrow \dfrac{4}{5}[/tex]

[tex]\\ \rm{:}\dashrightarrow 0.8s[/tex]

he cai
9) Mount Everest is 8848 m above the sea level. Find the
acceleration due to gravity at this height. The value of
acceleration due to gravity at the earth's surface is 9.8 m/s2
and the radius of the earth is 6400km.​

Answers

Given parameters:

Height of Everest  = 8848m

Acceleration due to gravity on earth  = 9.8m/s²

Radius of the earth = 6400km = 6400000m

Unknown:

Acceleration due to gravity at the peak of Everest  =?

Solution:

According to Newton's law of universal gravitation, we have that acceleration due to gravity is proportional to the altitude.

 To solve this problem, use the mathematical expression below;

        g[tex]_{e}[/tex]   = g(1 - [tex]\frac{2h}{R}[/tex])

where g[tex]_{e}[/tex]  is gravity on top of Everest

            g is the gravity on the earth surface

            h is the height of the mountain

            R is the radius of the earth

      g[tex]_{e}[/tex]   = 9.8 (1 -[tex]\frac{2 x 8848}{6400000}[/tex] )

      g[tex]_{e}[/tex]  = 9.8 (1-0.002765)   = 9.77m/s²

The acceleration due to on top of Everest is  9.77m/s²

In the graph above, what is the instantaneous speed of the object after the first five seconds?
A) 0 m/s
B) 5 m/s
C) 12.5 m/s
D) 25 m/s

Answers

Answer:

D) 25 m/s

Explanation:

In order to solve this problem we must use the following kinematics equation.

[tex]v_{f} =v_{i} +(a*t)\\[/tex]

where:

Vf = final speed [m/s]

Vi = initial speed = 0

a = acceleration = 5[m/s^2]

t = time = 5[s]

After 5 seconds the acceleration is equal to 5 [m/s^2]

Now replacing the values in the equation:

Vf = 0 + (5*5)

Vf = 25[m/s]

A heavy brick weighs more than a fluffy cushion, but the cushion takes up more space. Which object has more matter? How do you know?

Answers

Answer:

Explanation:The brick has more matter because it has more mass. :))

Which solutions have a density greater than 1.0 g/mL?
Mass = 888 g Volume = 800 mL
Mass = 7.8 g Volume = 8.7 ml
Mass = 725 g Volume = 715 mL
Mass = 1.3 g Volume = 1.1 ml
Mass = 18 g Volume = 19 mL
Mass = 1.25 g Volume = 1.78 ml

Answers

Density = Mass / Volume

A) Density = 888/800 = 1.11g/mL > 1.0g/mL
B) Density = 7.8 / 8.7 = 0.897g/mL < 1.0g/mL
C) density = 725 / 715 = 1.01 g/mL > 1.0g/mL
D)density = 1.3/1.1= 1.18 g/mL > than 1.0 g/mL
E) Density = 18/19 = 0.95g/mL < 1.0g/mL
F) Density = 1.25/1.78 = 0.7 g/mL < 1.0g/mL

SUMMARY:
A C D have densities greater than 1.0g/mL

The solutions that have their mass greater than their volumes are:

Mass = 888 g Volume = 800 mL  Mass = 725 g Volume = 715 mL Mass = 1.3 g Volume = 1.1 ml

The ratio of the mass of a substance to its volume is known as the density of the substance. Mathematically;

Density = Mass/Volume

For any solution to have a density greater than 1, the mass of the substance must be greater than its volume.

For the given option, the solutions that have their mass greater than their volumes are:

Mass = 888 g Volume = 800 mL  Mass = 725 g Volume = 715 mL Mass = 1.3 g Volume = 1.1 ml

Learn more here: https://brainly.com/question/17780219

Davien and Jackson are headed to a beach that is 50km from school. At noon, Davien leaves his house that is 10 km closer to the beach than the school is and moves at 40 km/h. Jackson starts from school at 12:30 P.M. And moves at 100 km/h. What time does Davien reach the beach? * Answer Format: Time

Answers

Distance between Davien's school and beach, D = 50 km.

Also, Davian's house is 10 km closer to the beach than the school.

So, distance between Davien's house and beach, d = 40 km.

Speed of Davian, s = 40 km/h.

Now, time taken is given by :

[tex]t =\dfrac{Distance}{Speed}\\\\t=\dfrac{40}{40}=1\ hour[/tex]

Therefore, Davien reach the beach at 1 : 30 P.M .

Hence, this is the required solution.

When your mass increases, your weight remains constant , True or false

Answers

I think the answer is true

It
starts at position 0 and moves to the right until it arrives at
position 1. It then turns around and stops at position 2.
What is the average velocity of the ghost for the entire trip
if the entire trip takes 7 seconds?
0 -1.42 m/s
-1.42
1.42
O 1.42 m/s

Answers

The answer is 0 -1.42 m/s

Can I have some help, please?

Answers

Answer:

yes you can gwet help with a whole lot of nothing

Explanation:

which of the following would typically be used to express speed

Answers

Answer:

One term that could be used as speed is sprint or rush

Explanation:

Question 8 of 10
Which term describes the sum of all forces acting on an object
A Free body force
B. Centripetal force
0, Nat force
D. Reaction force

Answers

Answer:

Net force ! because it the total force that being addednon the obj !

How fast Will a brick be going after it falls for 2.5 seconds?

Answers

Answer:

25 m/s

Explanation:

Initial Velocity = 0 m/s

Time = 2.5 m/s

Acceleration due to gravity = 9.8

Final Velocity = ?

By the formula,

                           [tex]V_{f} = V_{i} + at[/tex]

                            [tex]V_{f}= 0 + 10 x 2.5[/tex]

                            Vf = 25 m/s

After 2.5 seconds the velocity of ball will be 24.5 m/s.

We have a brick falling from a certain height.

We have to find the velocity of the brick after 2.5 seconds of falling.

What do you mean by Free fall ?

The motion of any object under the influence of gravity alone is called as free fall.

According to the question -

Initial velocity = u = 0 m/s

Final velocity = v m/s (say)

g = 9.8 m/[tex]s^{2}[/tex]

t = 2.5 seconds

Using the first equation of motion -

v = u + at

v = 0 + gt

v = 9.8 x 2.5 = 24.5 m/s

Hence, after 2.5 seconds the velocity of ball will be 24.5 m/s.

To solve more questions on Kinematics, visit the link below-

https://brainly.com/question/11331097

#SPJ2

An immersion heater is rated 120w. How long does it take the heater to raise the temperature of 1.2kg of water by 15°c.

Answers

Answer:

dmakqkwnwj fddfgdddwsf

Which would have a longer vector arrow?
a: A vector representing 100 miles/hour north
b: Avector representing 100 miles/hour east
c: A vector representing 100 miles/hour south
d: They would all be the same length​

Answers

All the vectors would all be the same length.

option D is the correct answer.

What is the magnitude of a vector?

The magnitude of a vector is the length of the vector. This is the absolute value of the vector.

The length of a vector describes its magnitude, so the magnitude or length of the given vectors is determined as follows;

A vector representing 100 miles/hour north ⇒ magnitude = 100 miles / hour

A vector representing 100 miles/hour east ⇒ magnitude = 100 miles / hour

A vector representing 100 miles/hour south ⇒ magnitude = 100 miles / hour

Thus, all the given vectors have equal magnitude but different directions.

Learn more about magnitude of vectors here: https://brainly.com/question/3184914

#SPJ1

please hellllllllllppppppppp meeeeee​

Answers

Answer:

The displacement of the man has a magnitude of 40 m

Explanation:

Distance and Displacement

A moving object constantly travels for some distance at defined periods of time. The total distance is the sum of each individual distance the object traveled. It can be written as:

dtotal=d1+d2+d3+...+dn

This sum is obtained independently of the direction the object moves.

The displacement only takes into consideration the initial and final points of the path defined by the object in its moving. The displacement, unlike distance, is a vectorial magnitude and can be even zero if the object starts and ends the movement at the same point.

The man walks around half the circumference and ends up at the opposite side of the circled shape. Taking into consideration only the starting and ending points, the man's displacement is a vector whose magnitude is the diameter of the circle, thus:

The displacement of the man has a magnitude of 40 m

I really need help with this, I would be happy if someone could help me.

You fly round-trip from Los Angeles to New York. The flight takes 6 hours each way and covers a distance of 4800 km. What were your average speed and average velocity on this round-trip flight?

Answers

Answer:

Average speed = 800 km/h and average velocity = 0

Explanation:

You fly round-trip from Los Angeles to New York.

Distance covered, d = 4800 km in 6 hours

We need to find the average speed and average velocity on this round-trip flight. Round trip means to come back at the initial point.

Total distance = 4800 km + 4800 km = 9600 km

Time, t = 6 h + 6 h = 12 h

Average speed,

[tex]v=\dfrac{9600\ km}{12\ h}\\\\v=800\ km/h[/tex]

So, the average speed is 800 km/h

When it comes back to the initial point. Its displacement is equal to 0. It means its average velocity will be equal to 0.

what is the measure of m​

Answers

Answer:

x = 50°

Explanation:

52° + 78° + x = 180° (Because of the angle sum property)

=> 130° + x = 180°

=> x = 180° - 130°

=> x = 50°

Answer:

50°

Explanation:

Step 1:

52° + 78° + x = 180°       Sum of a Δ

Step 2:

130° + x = 180°       Combine Like Terms

Step 3:

x = 180° - 130°      Subtract 130° on both sides

Answer:

x = 50°

Hope This Helps :)

You lift your pet cat vertically by 2.0 m, and
then you lower it vertically by 2.0 m. During this
exercise, is the total work done by gravity positive,
negative, or zero? Explain your answer.

Answers

Answer:

zero cause the positivity and negativity would cancel out

Explanation:

Compare and Contrast atoms and ions..Thanks for your help!

Answers

Answer:

atoms is basic unit of matter, neutral because of the equal numbers to + and - particle charges.

ions is a charged molecule formed by the loss or gain of electrons.

Hope this helps

Other Questions
Dustin, who is 48 years old, works for Pinnacle Inc., with a salary of $300,000, a car allowance, and a very nice expense account. Pinnacle is a Fortune 1,000 company that sponsors a defined benefit plan that pays 2 percent times years of participation times the average of the three final years of compensation. In addition, Pinnacle sponsors a 401(k) / profit sharing plan and contributes 18% of employees salary to the profit sharing plan. There is no additional match. If the ADP of the NHCEs is 3%, what is the maximum that Dustin can defer this year (2020)? a. $17,100. b. $14,250. c. $19,500. d. $5,700. A math test is made up of 7 problems each worth 10 points. There is no partial credit. Every test taker receives 30 points for taking the test. Enter a function to describe the test score determined by the number of correct answers. Then, graph the function.f(x)=_____ The three types of mechanical waves are transverse waves, latitudinal waves, and surface waves. Is this true or false? Whats the difference between the points of view in these two historical accounts of life on the Oregon Trail? Account #1: J.T. Kerns, a farmerJuly 18: Traveled up Thomas fork of the Bear River, twelve miles to the ford and encamped on the west bank. Country nice and streams full of fish. Some good farms might be made along here, as the valleys are rich and the mountains high enough to preserve an evenness of temperature. Timber is, however, scarce to supply the demands of a farmer.Account #2: Abigail Jane Scott, a young girl who traveled west with her large familyJuly 17: We came twenty two miles, traveling all day in the Bear River valley. The valley and mountains are covered with grass and the summits of the latter are adorned with splendid groves of fir making the scenery beautiful. We passed a (small) stream every few miles. The water runs very swiftly and is perfectly clear and very cold with a pleasant taste. A horse ran away today, causing a wagon train ahead of us to stampede.A. One writer is sad about leaving home for Oregon while the other is very excited.B. One writer is looking out for good farmland while the other is drawn to beautiful or interesting details.C. One writer is a seasoned traveler who has made the trip many times while the other writer is new to wagon trains. (NOW my brother wont stop bothering me about the question omg- ;-; (so pls be fast :3)) On a vocabulary list within a study guide definitions should be written a. In alphabetical order b. In complete sentences c. With abbreviations d. None of these Rewrite 48 + 60 using the distributive property. but in the equation form Question is in picture what is the meaning of introvert and extrovert? When Ellen buys a new computer for her accounting business, it is included in gross domestic product (GDP) as ________, and when she buys a new computer for personal use at home, it counts as ________.a. consumption; consumption.b. consumption; investment.c. government purchases; consumption.d. investment; investment.e. investment; consumption. \text{Time (hours)}Time (hours) \text{Earnings (dollars)}Earnings (dollars)4 \$70.8099 \$159.3028 \$495.60How long does it take him to make \$132.75 PLEASE HELP I WILL GIVE BRAINLIEST Help meeeee pleaseeeeee if you change the _ you change the identity of the atom You work for the police. An accident has happened. A farmer was taking his dairy cows for milking across a road. The crossing point was 100m from a blind bend. In normal conditions with an alert driver obeying the speed limit of 30m/s a car can safely stop before reaching the crossing point. Mr Hoyland was driving home, saw the cows around the bend and was unable to stop. He ran into one of the cows and killed it. how you steal a bus? Which person is eligible to become a naturalized citizen, a child who only has one parent as a us citizen or a.person born on a us military base in Germany to us parents 4. Which of the following would a scale be used to measure?the length of a piece of wood for building a treehousethe weight of a fish after it is caughtthe volume of water a fish tank can holdthe distance between two points on a trail Choose the slope-intercept form of y + 3 = 4(x 5). Which of the following is the correct relationship between latitude and temperature 1.2A brick slides on a rough horizontal surface. Which ONE of the followingactions will increase the frictional force acting on the brick?A. Decreasing the surface area of contactB. Increasing the surface area of contactC. Putting a second brick on itD. Decreasing the mass of the brick10-HIS