Ask question

Ask question

All categories

3 years ago

14

A positive charge Q1 = 34 nC is located at the origin. A negative charge Q2 = -5.5 nC is located on the positive x-axis p = 15 c

m from the origin. Calculate the location of x axis in cm where electric field is.

1 answer:

vodomira [7]3 years ago

8 0

Answer:

10.7 cm and 25.1 cm

Explanation:

Given:

Q_1 = 34 * 10^(-9) C

Q_1 = -5.5 * 10^(-9) C

Distance between charges = 0.15 m

Distance from origin where E is zero = x

k = 8.99*10^9 Nm^2 / C^2

It is to be noted that E due to positive charge at origin is directed along + x-axis while for negative charge it is directed towards the origin. General, the electric field strength E at a distance R due to charge q is given by :

E = k*(Q) / R^2

The Net Electric field strength of the two charges and is equated to zero as follows:

E_net = k*(Q_1) / x^2 + k*(Q_2) / (0.15 - x)^2 = 0

(Q_1) / x^2 + (Q_2) / (0.15 - x)^2 = 0

Solve the above equation for x:

Q_1 * (0.15 - x)^2 + Q_2 * x^2 = 0

Q_1 * (x^2 - 0.3x + 0.0225) - Q_2 * x^2 = 0

(Q_1 + Q_2) x^2 - 0.3*Q_1*x + 0.0225*Q_1 = 0

2.85x^2 - 1.02x + 0.0765 = 0

x = 0.107 m

x = 0.251 m

You might be interested in

The ratio of the output work to input force is the _ of the machine ?

Colt1911 [192]

<h3><u>Answer;</u></h3>

Mechanical advantage

<h3><u>Explanation;</u></h3>

Mechanical advantage is the ratio of force output from a machine divided by the force input into the machine.
Mechanical advantage measures the machine's force-magnifying effect. It is an advantage gained by using simple machines to accomplish work with less effort.
The formula is; M.A = output force/ Input force

3 0

3 years ago

Read 2 more answers

The invisible line that passes through the North Pole and the South<br> Pole is called Earth's what

REY [17]

Answer:

The Prime Meridian

5 0

3 years ago

Explain the difference in reactivity of the elements based on their electron configurations.

victus00 [196]

Well a basic explanation is that some elements have enough electrons to be considered stable. These elements do not need to react with other elements to gain more electrons. Reactive elements are no where near stable; they respond with other elements in order to become stable. The more unstable, the harsher the reaction is.

5 0

3 years ago

Our eyes can see light with an angular resolution of about 1’—equivalent to about a third of a millimeter at arm’s length. Suppo

olya-2409 [2.1K]

Answer:

We would not be able to make our way around the earth's surface, to read, to sculpt or to create technology because we cannot see!

Explanation:

The minimum angular separation that can be distinguished by an eye gives the angular resolution of the eye.

Given that the Angular resolution with infrared radiation is = $1.0^0$ equal to $60'$

This resolution is very much greater than that of the eye $(1')$

The angular resolution that our eyes can see is about $\frac{1}{3}mm$ at arms length

Angular resolution of infrared = $\frac{1}{3} * 60 = 20mm$ at arms length

We therefore cannot read, sculpt or create technology because we cannot see.

7 0

3 years ago

A 4.0 kg circular disk slides in the x- direction on a frictionless horizontal surface with a speed of 5.0 m/s as shown in the a

finlep [7]

Solution :

Let $m_1=m_2=4$ kg

$u_1 = 5$ m/s

Let $v_1$ and $v_2$ are the speeds of the disk $m_1$ and $m_2$ after the collision.

So applying conservation of momentum in the y-direction,

$0=m_1 .v_1_y -m_2 .v_2_y$

$v_1_y = v_2_y$

$v_1 . \sin 60=v_2. \sin 30$

$v_2 = v_1 \times \frac{\sin 60}{\sin 30}$

$v_2=1.732 \times v_1$

Therefore, the disk 2 have greater velocity and hence more kinetic energy after the collision.

Now applying conservation of momentum in the x-direction,

$m_1.u_1=m_1.v_1_x+m_2.v_2_x$

$u_1=v_1_x+v_2_x$

$5=v_1. \cos 60 + v_2 . \cos 30$

$5=v_1. \cos 60 + 1.732 \times v_1 \cos 30$

$v_1 = 2.50$ m/s

So, $v_2 = 1.732 \times 2.5$

= 4.33 m/s

Therefore, speed of the disk 2 after collision is 4.33 m/s

5 0

2 years ago