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
Troyanec [42]
3 years ago
5

The electric force between two charged vinyl balloons is 3.0 × 10-3 newtons. If the distance between them is 6.0 × 10-2 meters a

nd the charge of one vinyl balloon is 3.3 × 10-8 coulombs, what is the charge on the other vinyl balloon? (k = 9.0 × 109 newton·meter2/coulombs2) 3.3 × 10-8 coulombs 3.6 × 10-8 coulombs 4.8 × 10-8 coulombs 6.0 × 10-8 coulombs 3.3 × 10-3 coulombs
Physics
1 answer:
irakobra [83]3 years ago
8 0
The electric force between two objects can be understood by looking at Coulomb's Law. The law states that the electric force is directly proportional to the charges of the 2 objects, and inversely proportional as the square of the distance. This is shown below:

F = (k * Q1 * Q2) / d^2

Where: k = proportionality constant; Q1 = charge of object 1; Q2 = charge of object 2; d = distance between objects.

Given:

F = <span>3.0 × 10^-3 N
Q1 = </span>3.3 × 10^-8 coulombs<span>
Q2 = ?
d = </span><span>6.0 × 10^-2 m
</span><span>k = 9.0 × 10^9

Substituting:

3 x 10^-3 = (9 x 10^9 * 3.3 x 10^-8 * Q2) / (6 x 10^-2)^2
[(</span>3 x 10^-3) * (6 x 10^-2)^2] / [(<span>9 x 10^9) * (3.3 x 10^-8)</span>] = Q2
Q2 = 3.636 x 10^-8 coulombs
You might be interested in
A telephone line hangs between two poles 14 m apart in the shape of the catenary , where and are measured in meters.
Masja [62]

Answer:

a) At x=14 the slope will be given by:

\frac{dy}{dx}(14)=a\sinh \left({\frac {14-C_{1}}{a}}\right).

b) Then, the angle between the line and the pole will be:

\phi=\pi - \theta

where \theta is the angle between the tangent to the catenary and the x-axis.

Explanation:

The catenary has the following general form:

y(x)==a\cosh \left({\frac {x-C_{1}}{a}}\right)+C_{2}

a) The slope at any point will be given by the derivative of y.

\frac{dy}{dx}(x)=a\sinh \left({\frac {x-C_{1}}{a}}\right)

At x=14:

\frac{dy}{dx}(14)=a\sinh \left({\frac {14-C_{1}}{a}}\right).

b) The angle between the tangent to the catenary and the x-axis at a given point will be given by:

\frac{dy}{dx}(x)=tan(\theta) ⇒ \theta=tan^{-1} (\frac{dy}{dx}(x))

Then, the angle between the line and the pole will be:

\phi=\pi - \theta.

5 0
4 years ago
A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 6.0 m, y = 10.0 m, and has vel
mihalych1998 [28]

Explanation:

Given that,

Position of the particle at t = 0,

y=(6i+10j)\ m

Velocity of the particle at t = 0

u=(1i+6j)\ m

Acceleration of the particle,

a=(5i+7j)\ m/s^2

Solution,

(a) Let v is the velocity at t = 10 s. Using the equation of kinematics as :

v=u+at

v=(1i+6j)+(5i+7j)10

v=(51i+76j)\ m/s

(b) Let y' is the position at t = 1 s. Again using second equation of kinematics as :

y'=y+ut+\dfrac{1}{2}at^2

y'=(6i+10j)+(1i+6j)1+\dfrac{1}{2}\times (5i+7j)1^2

y'=\dfrac{19}{2}i+\dfrac{39}{2}j

(c) Magnitude of y',

|y'|=\sqrt{(\dfrac{19}{2})^2+(\dfrac{39}{2})^2}

|y'| = 21.69 meters

Direction of the y',

tan\theta=\dfrac{y}{x}

tan\theta=\dfrac{39/2}{19/2}

\theta=64.02^{\circ}

Hence, this is the required solution.

4 0
3 years ago
If one object is 103 km away and a second object is 106 km away, one could say that the second object is _____ times further awa
vaieri [72.5K]

Answer:

1.03

Explanation:

\frac{object_{second}}{object_{first}} = \frac{106}{103} = 1.02912621359

Round to three significant digits

1.03

7 0
4 years ago
Betelgeuse (in Orion) has a parallax of 0.00451 + 0.00080 arcsec,as measured by the Hipparcos satellite. What is the distance to
IgorC [24]
Betelgeuse, the bright red star in the constellation of Orion the Hunter, is in the end stage of its stellar life. Astronomers have long thought it will someday explode to become a supernova. In late 2019 and early 2020, Betelgeuse generated a lot of
4 0
3 years ago
The magnification priduced by a spherical mirror is +1/4.what type of image is formed?
Kitty [74]

Explanation:

As the magnification is positive , thus the image formed is inverted and real

7 0
3 years ago
Other questions:
  • 3. In which activity is no work done?
    15·1 answer
  • The terminal velocity of a sand grain in air is __________ the terminal velocity of the same sand grain in seawater. greater tha
    7·1 answer
  • A response to a touch on the palm of the hand observable in newborns is known as __________.
    7·1 answer
  • Two people are talking through a thick wall, 3 meters high, between them. This fact can best be explained by the phenomenon of A
    12·1 answer
  • Does the force of gravitation exist between two objects on the earth
    10·1 answer
  • Which of the following is true concerning nuclear fusion?
    12·1 answer
  • When an object oscillating in simple harmonic motion is at its maximum displacement from the equilibrium position. What are its
    11·1 answer
  • Una rueda gira con una frecuencia de 530 rpm. Determina la velocidad angular, el periodo y la frecuencia.
    9·1 answer
  • In asexual reproduction the new plant is identical to its parent.<br><br><br> true<br><br><br> false
    13·2 answers
  • a copper rod is sliding on two conducting rails that make an angle of 18 with respect to each other, as in the drawing. The rod
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!