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
lisabon 2012 [21]
4 years ago
8

Air becomes a conductor when the electric field strength exceeds 3.01 × 106 N/C. Determine the maximum amount of charge that can

be carried by a metal sphere 5.0 m in radius. The value of the Coulomb constant is 8.99 × 109 N · m2 /C 2 . Answer in units of C.
Physics
1 answer:
Blizzard [7]4 years ago
3 0

Answer:

8.37×10⁻³ C.

Explanation:

The formula of electric field is given as

E = kq/r².......................... Equation 1

Where E = electric field, q = amount of charge, k = coulomb constant, r = radius of the sphere

make q the subject of the equation

q = Er²/k .................... Equation 2

Given: E = 3.01×10⁶ N/C, r = 5.0 m, k = 8.99×10⁹ Nm²/C².

Substitute into equation 2

q = (3.01×10⁶)(5²)/(8.99×10⁹)

q = (75.25/8.99)×10⁻³

q = 8.37×10⁻³ C.

Hence the maximum amount of charge = 8.37×10⁻³ C.

You might be interested in
A block of mass M on a horizontal surface is connected to the end of a massless spring of spring constant k. The block is pulled
slamgirl [31]

Answer:

Minimum coefficient of kinetic friction between the surface and the block is \mu_k=\frac{kx}{2Mg} .

Explanation:

Given:

Mass of the block = M

Spring constant = k

Distance pulled = x

According to the question:

<em>We have to find the minimum co-efficient of kinetic friction between the surface and the block that will prevent the block from returning to its equilibrium with non-zero speed.  </em>

So,

From the FBD we can say that:

⇒ Normal force, N=Mg                                   <em>...equation(i)</em>

⇒ Elastic potential energy, PE = \frac{kx^2}{2}               <em>  ...equation (ii)</em>

⇒ Frictional force, f = \mu_kN                                <em> ...equation (iii)</em>

⇒ Plugging (i) in (iii).

⇒ f=\mu_kMg

Now,

⇒ As we know that the energy lost due to friction is equivalent to PE .

⇒ PE=fx                     <em>...considering PE as</em> mgh or f(x) .

   Arranging the equation.

⇒ \frac{kx^2}{2}=\mu_k Mg (x)

⇒ \frac{kx}{2}=\mu_k Mg                 <em>...eliminating x from both sides.</em>

⇒ \frac{kx}{2Mg}=\mu_k                    <em>...dividing both sides wit Mg.</em>

Minimum coefficient of kinetic friction between the surface and the block is \frac{kx}{2Mg}=\mu_k .

4 0
4 years ago
A stationary 15 kg object is located in a table near the surface of the earth. The coefficient of static friction between the su
Marta_Voda [28]

The net force acting on the object perpendicular to the table is

∑ F[perp] = F[normal] - mg = 0

where mg is the weight of the object. Then

F[normal] = mg = (15 kg) (9.8 m/s²) = 147 N

The maximum magnitude of static friction is then

0.40 F[normal] = 58.8 N

which means the applied 40 N force is not enough to make the object start to move. So the object has zero acceleration and does not move.

8 0
2 years ago
when astronomers study a star, they look at its luminosity, color, surface, temperature, and size. Explain how these characteris
Alona [7]

Explanation:

One of the moments most valued by astronomers is twilight. As the Sun sets, the sky darkens and the first stars are seen. At first there are two or three, but as the minutes go by they become more and more visible; the first to appear will be the brightest stars of the night, the last, the dimmest. But their brightness is not the only thing that differentiates the stars. As the night progresses and the sky darkens, if we look closely, we will see stars of red, white and blue… Stars have colours, and learning about them takes us on a fascinating journey through their lives.

During these early spring weeks, it is easy to locate the constellation of Orion, along with Canis Major and Taurus, shortly after sunset. At first sight, the stars might appear to have the same colour, but if we seek out a dark sky and take a second closer look, we will notice different colours. Sirius (in Canis Major) is white, Rigel (Orion’s right foot) is blue, Aldebaran (in Taurus) is orange and Betelgeuse (Orion’s left shoulder) is red.

3 0
3 years ago
The intensity of electromagnetic radiation from the sun reaching the earth's upper atmosphere is 1.37kW/m2kW/m2. Part A Assuming
Juli2301 [7.4K]

Answer:

#_photon = 7  10²¹ photons

Explanation:

Let's look for the power that affects the panel of area of ​​1.5 m2

           I = P / A

           P = I A

           P = 1.37 10³  1.5

           P = 2,055 10³ W

           P = E / t

       

If we use t = 1 s

           E = P t

           E = 2,055 10³ J

This is the power that the panel receives, let's look for the energy of a photon

            E = h f

            c = λ f

            f = c /λ

            E = h c /λ

Let's calculate

            E₀ = 6.63 10⁻³⁴  3 10⁸/680 10⁻⁹

            E₀ = 2.925 10⁻¹⁹ J

In one second the total energy is the number of photons for the energy of each one

             E = #_photon  E₀

             #_photon = E / E₀

             #_photon = 2,055 10³ / 2,925 10⁻¹⁹

            #_photon = 7  10²¹ photons

8 0
3 years ago
Particles q1, 92, and q3 are in a straight line.
frutty [35]

Answer:

<u>-1.35 N</u>

Explanation:

<u>Force due to q1</u>

  • F = 9 × 10⁹ × 5 × 10⁻⁶ × 2.5 × 10⁻⁶ / 0.5²
  • F = 450 × 10⁻³
  • <u>F = 0.45 N (+)</u>

<u>Force due to q2</u>

  • F = 9 × 10⁹ × 5 × 10⁻⁶ × 2.5 × 10⁻⁶ / 0.25²
  • F = 1800 × 10⁻³
  • <u>F = 1.8 N (-)</u>

<u />

<u>Net Force</u>

  • 0.45 - 1.8
  • -1.35 N
7 0
2 years ago
Other questions:
  • 3. Nearsighted people can undergo a medical procedure called keratotomy to produce normal (or at least more-normal) vision. In t
    8·1 answer
  • An ion with charge of Q = +3.2 x 10-19 C is in a region where a uniform electric field of magnitude E = 5.0 X 105 V/m is perpend
    7·1 answer
  • In 2013, renewable energy provided 10% of the total energy used in the united states, and wind energy accounted for 17.4% of the
    10·1 answer
  • How much does Earth weight?​
    13·2 answers
  • Which of these has kinetic energy
    11·1 answer
  • Which of the following describes the variable that responds to a change?
    15·2 answers
  • Hailey is preparing a debate on the benefits of using synthetic polymers over natural polymers, and she wants to create a list t
    15·2 answers
  • Two objects collide. One of the objects deforms upon collision. What type of collision is this?
    9·1 answer
  • Which statement is true of an alpha particle?
    5·2 answers
  • Plz help with this paper.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!