Two charged particles are separated by 10 cm. suppose the charge on each particle is doubled. By what factor does the electric force between the particles change?

Answers

Answer 1
Answer:

Answer:

The electric force increases by a factor of 4.

Explanation:

The electric force between two charges q_1 and q_2 separated a distance d can be calculated using Coulomb's Law:

F=(kq_1q_2)/(d^2)

where k=9*10^9Nm^2/C^2 is the Coulomb constant.

If the value of each charge is doubled, then we will have a force between them which is:

F'=(k(2q_1)(2q_2))/(d^2)=4(kq_1q_2)/(d^2)=4F

So the new force is 4 times larger than the original force.

Answer 2
Answer:

Final answer:

Doubling the charge on each particle increases the electric force between them by a factor of 4.

Explanation:

The force between two charged particles is given by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. So, if we denote the electric force as F, the charges as q1 and q2, and the distance as r, we can write Coulomb's law as F = k* q1*q2/r^2, where k is a constant.

Now if you double the charges (q1 and q2 become 2q1 and 2q2), and use these values in the formula, we get Fnew = k*(2q1) *(2q2)/r^2 = 4 * k*q1*q2/r^2 = 4F.

So, by doubling the charge on each particle, the electric force between them is multiplied by the factor of 4. So, the force increases fourfold.

Learn more about Coulomb's Law here:

brainly.com/question/32002600

#SPJ3


Related Questions

NASA scientists suggest using rotating cylindrical spacecraft to replicate gravity while in a weightless environment. Consider such a spacecraft that has a diameter of d = 148 m. What is the speed v, in meters per second, the spacecraft must rotate at its outer edge to replicate the force of gravity on earth?
The radius of Earth is 6370 km in the Earth reference frame. The cosmic ray is moving at 0.880Co relative to Earth.a. In the reference frame of a cosmic ray how wide does Earth seem along the flight direction?b. In the reference frame of a cosmic ray how wide does Earth seem perpendicular to the flight direction?Express your answer with the appropriate units.
When the frequency of an electromagnetic wave increases, its energy A. increases. B. decreases. C. stays the same. D. It depends on the exact type of electromagnetic wave.
A 0.060 ???????? tennis ball, moving with a speed of 5.28 m/???? , has a head-on collision with a 0.080 ???????? ball initially moving in the same direction at a speed of 3.00 m/ ???? . Assume that the collision is perfectly elastic. Determine the velocity (speed and direction) of both the balls after the collision.
Make the following conversion.56.32 kL = _____ L0.0563200.563205,63256,320

What are 4 ways individuals can influence the government?

Answers

Voting, running, speaking in front of government

If you were unfortunate enough to be 5.5 mm away from such a lightning bolt, how large a magnetic field would you experience

Answers

The question is incomplete. Here is the complete question.

Lightning bolts can carry currents up to approximately 20kA. We can model such a current as the equivalent of a very long, straight wire.

(a) If you were unfortunate enough to be 5.5m away from such a lightning bolt, how large a magnetic field would you experience?

(b) How does this field compare to one you would experience by being 5.5cm from a long, straight household current of 5A?

Answer: (a) B = 7.27 x 10⁻⁴ T

              (b) Approximately 40 times higher than a household one.

Explanation: Using Biot-Savart Law, the magnetic field in a straight, long wire is given by

B=(\mu_(0)I)/(2.\pi.r)

where:

\mu_(0) (permeability of free space) = 4.\pi.10^(-7)T.m/A

(a) If lightning bolt is compared to a long and straight wire, then magnetic field is

B=(4.\pi.10^(-7).10.10^(3))/(2.\pi.5.5)

B = 7.27 x 10⁻⁴ T

The magnitude of magnetic field in a lightning bolt is 7.27 x 10⁻⁴ T

(b) Magnetic field in a household wire will be

B=(4.\pi.10^(-7).5)/(2.\pi.5.5.10^(-2))

B = 1.82 x 10⁻⁵ T

Comparing fields:

(7.27.10^(-4))/(1.82.10^(-5)) ≈ 40

The filed for a lightning bolt is approximately 40 times higher than for a household wire.

Light emitted by element X passes through a diffraction grating that has 1200 slits/mm. The interference pattern is observed on a screen 75.0 cm behind the grating. First-order maxima are observed at distances of 56.2 cm, 65.9 cm, and 93.5 cm from the central maximum. What are the wavelengths of light emitted by element X?

Answers

Answer:

Explanation:

Width of slit = 10⁻³ / 1200

d  = 8.3 x 10⁻⁷ m

First order maxima will be observed at

x = λD/d

D = 75 cm = 75 x 10⁻² m

56.2 x 10⁻² = λ₁D/d

= λ₁ x 75 x 10⁻² / 8.3 x 10⁻⁷

λ₁ = 56.2 x 8.3 x 10⁻⁷ / 75

= 6.219 x  10⁻⁷ m

= 6219 A

Similarly

λ₂ = 65.9 x 8.3 x 10⁻⁷ / 75

= 7293 A

λ₃ =  93.5 x 8.3 x 10⁻⁷ / 75

= 10347 A

ou are writing a short adventure story for your English class. In your story, two submarines need to arrive at a place in the middle of the Atlantic Ocean at the same time. They start out at the same time from positions equally distant from the rendezvouspoint. They travel at different speeds, but both go in a straight line. The first submarine travels at an average speed of 20 km/hr for the first 500 km, 40 km/hr for the next 500 km, 30 km/hr for the next 500 km and 50 km/hr for the final 500 km. In the story’s plot, the second submarine is required to travel at a constant velocity, so the captain needs to determine the magnitude of that velocity. What is that velocity?

Answers

Answer:

The constant speed of second submarine is 31.16 km/hr

Explanation:

Given that

v₁=20 km/hr ,d₁= 500 Km

v₂=40 km/hr ,d₂=500 km

v₃=30 km/hr, d₃=500 km

v₄=50 km/hr ,d₄=500 km

We know that

Displacement = Velocity x Time

d = v t

Total displacement = Average velocity x Total time

d_1+d_2+d_3+d_4=V_(avg)\left((d_1)/(v_1)+(d_2)/(v_2)+(d_3)/(v_3)+(d_4)/(v_4)\right)

Now by putting the values

2000=V_(avg)\left((500)/(20)+(500)/(40)+(500)/(30)+(500)/(50)\right)

V_(avg)=31.16\ km/hr

So the constant speed of second submarine will be the average speed of first submarine because they have to meet at the same time.

The constant speed of second submarine is 31.16 km/hr

Two narrow slits separated by 1.5 mm are illuminated by 514 nm light. Find the distance between adjacent bright fringes on a screen 5.0 m from the slits. Express your answer in meters using two significant figures.

Answers

The distance between the adjacent bright fringes is : 1.7 * 10⁻³ M

Given data :

separation between slits ( d ) = 1.5 x 10⁻³ m

wavelength of light ( λ ) =  514 * 10⁻⁹ m

Distance from narrow slit ( D ) = 5.0 m

Determine the distance between the adjacent bright fringes

we apply the formula below

w = D * λ  / d  ---- ( 1 )

where : w = distance between adjacent bright fringes

Back to equation ( 1 )

w =  ( 5 * 514 * 10⁻⁹ ) / 1.5 x 10⁻³

   = 1.7 * 10⁻³ M

Hence we can conclude that The distance between the adjacent bright fringes is : 1.7 * 10⁻³ M

Learn more about bright fringes calculations  : brainly.com/question/4449144

Answer:

1.7* 10^(-3) m

Explanation:

d = separation between the two narrow slits = 1.5 mm = 1.5 x 10⁻³ m

λ = wavelength of the light = 514 nm = 514 x 10⁻⁹ m

D = Distance of the screen from the narrow slits = 5.0 m

w = Distance between the adjacent bright fringes on the screen

Distance between the adjacent bright fringes on the screen is given as

w = (D\lambda )/(d)

w = ((5.0)(514* 10^(-9)) )/(1.5* 10^(-3))

w = 1.7* 10^(-3) m

A person exerts a horizontal force of F=45N on the end of an 86cm wide door. The magnitude of the torque due to F about the pivot point is determined by |τ|=|rxF|=rFsinθ . Determine the magnitude of the torque, |τ| , on the door about its hinges due to F . |τ|=0Nm |τ|=38.7Nm |τ|=3870Nm

Answers

Answer: The magnitude of torque is 38.7Nm

Explanation: Please see the attachment below

The magnitude of the torque on the door about its h1nges due to the applied force is  38.7 Nm.

How to calculate the magnitude of the torque?

The magnitude of the torque on the door about its h1nges due to the applied force is calculated by applying the following formula as shown below;

τ = rF

where;

  • r is the perpendicular distance of the applied force
  • F is the applied force

The given parameters include;

perpendicular distance, r = 86 cm = 0.86 m

the applied force , F = 45 N

The magnitude of the torque on the door about its h1nges due to the applied force is calculated as;

τ = rF

τ = 0.86 m x 45 N

τ = 38.7 Nm

Learn more about torque here: brainly.com/question/30338159

#SPJ3