1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrej [43]
3 years ago
13

You have two small spheres, each with a mass of 2.40 grams, separated by a distance of 10.0 cm. You remove the same number of el

ectrons from each sphere.
1) What is the charge on each sphere if their gravitational attraction is exactly equal to their electrical repulsion?

2) How many electrons did you remove from each sphere?
Physics
1 answer:
nordsb [41]3 years ago
4 0

Answer:

q = 2.066* 10⁻¹³ C.

n = 1,291,250 electrons.

Explanation:

1)

  • If the gravitational attraction is equal to their electrical repulsion, we can write the following equation:

       F_{g} = F_{c} (1)

  • where Fg is the gravitational attraction, that can be written as follows        according Newton's Universal Law of Gravitation:

       F_{g} = G*\frac{m_{1}*m_{2}}{r_{12}^{2}} (2)

  • Fc, due to it is the electrical repulsion between both charged spheres, must obey Coulomb's Law (assuming  we can treat both spheres as point charges), as follows:

       F_{c} = k*\frac{q_{1}*q_{2}}{r_{12}^{2}} (3)

  • since m₁ = m₂ = 0.0024 kg, and  r₁₂ = 0.1m, G and k universal constants, and q₁ = q₂ = Q, we can replace the values in (2) and (3), so we can rewrite (1) as follows:

       G*\frac{(0.0024kg)^{2}}{r_{12}^{2}} = k*\frac{Q^{2}}{r_{12}^{2}} (4)

  • Since obviously the distance is the same on both sides, we can cancel them out, and solve (4) for Q² first, as follows:

       Q^{2} = \frac{6.67e-11*(0.0024kg)^{2}}{9e9Nm2/C2} = 4.27*e-26 C2 (5)

  • Since both charges are the same, the charge on each sphere is just the square root of (5):
  • Q = 2.066* 10⁻¹³ C.

2)

  • Assuming that both spheres were electrically neutral before being charged, the negative charge removed must be equal to the positive charge on the spheres.
  • Now, since each electron carries an elementary charge equal to -1.6*10⁻¹⁹ C, in order to get the number of electrons removed from each sphere, we need to divide the charge removed from each sphere (the outcome of part 1) with negative sign) by the elementary charge, as follows:
  • n_{e} =\frac{-2.066e-13C}{-1.6e-19C} = 1,291,250 electrons. (6)
You might be interested in
Is there proof of the existence of God and Satan?If so what proof?
ivolga24 [154]
Religiously it has been proved that God exist and even satan exist
scientist does not believe God exist.The big bang theory is a theory that postulated that a big bang occur when and everything but my proverb says "in a film there is always behind the scene" if God doesnt exist who created mountains,hills,rivers,oceans,man,animal,spirit and if satan doesnt exist why does hell exist but if God doesnt exist why is it in grammar law to use capital letter for God
but my advise for you is to ask God to show you if He truly exist

3 0
3 years ago
Some substances have the same chemical composition, but their atoms are arranged differently. A classic example is carbon. A pen
Bumek [7]

No, the density of diamond and graphite would not be the same

Explanation:

What is density?

Density is the amount of substance per unit volume. It is simply mass divided by volume.

Density is greatly influenced by the way substances are packed.

Substances that are well packed will have lower volume for the same amount of matter than another that is poorly packed.

  • The carbon atoms in graphite are poorly packed. They are arranged layers upon layers.
  • Diamond carbon atoms have a cross-linked networked pattern. They are well packed.
  • For the same mass of matter, graphite will take up more space than diamond.

Since:

    Density = \frac{mass}{volume}

 The one that has a lesser volume will have a higher density.

Therefore diamond will have a higher density.

learn more:

Density brainly.com/question/5055270

#learnwithBrainly

4 0
2 years ago
Read 2 more answers
which of the following is not an example of force? A. magnetism B. Electric force C. energy D. friction​
Tcecarenko [31]

Answer:

Friction​

Explanation:

5 0
3 years ago
An unbalanced force of 20N acts on a 4.0kg mass what is it's acceleration​
tankabanditka [31]

Hi there!

According to Newton's second law:

∑F = m · a, where:

∑F = net force (N = kgm/s²)

m = mass (kg)

a = acceleration (m/s²)

Rearrange to solve for acceleration:

F/m = a

20N / 4.0kg = 5 m/s²

4 0
2 years ago
If a projectile fired beneath the water, straight up, breaks through the surface at a speed of 13m/s, to what height above the w
OlgaM077 [116]
Well if you had either the velocity or distance traveled i could tell you. But since you haven't all i can say for sure is that the water slowed the bullet down to 13m/s so lets say you knew the distance you would calculate how many meters it traveled and you would have your answer because in this situation, meters (height) =how many seconds spent going into the air. 
3 0
3 years ago
Other questions:
  • I need this fast thank you❣️
    7·2 answers
  • NEED HELP RIGHT NOW PLSSSS!!
    8·1 answer
  • a car travels 50 kilometers West and 10 minutes. after reaching the destination the car troubles back to the starting point, aga
    5·1 answer
  • Suppose earth's mass increased but earth's diameter didn't change. Describe how the gravitational force between Earth and the ob
    13·1 answer
  • The speed of sound through oxygen at 0°C is 316 meters per second. The speed of sound through solid copper is 5,010 meters per s
    6·2 answers
  • ) The rate of submergence is the total change in the elevation of the pier (two m) divided by the total amount of time involved
    15·1 answer
  • Two similar waves X and Y travel through the same medium. Wave X has a frequency of 200 hertz and a
    11·1 answer
  • A car travelling at 14.0 m/s approaches a traffic light. The driver applies the brakes and is able to come to halt in 5.6 s. Det
    11·1 answer
  • #38 , what is this answer?
    10·2 answers
  • Calculate the potential energy stored in an object of mass 50 kg at a height of 20 m from the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!