answer.
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
vlabodo
3 months ago
10

A small segment of wire contains 10 nC of charge. The segment is shrunk to one-third of its original length. A proton is very fa

r from the wire. What is the ratio Ff/Fi of the electric force on the proton after the segment is shrunk to the force before the segment was shrunk?
Physics
1 answer:
Softa [3K]3 months ago
7 0

To address this query, we will utilize principles related to electric fields, linear charge density, and electrostatic forces.

The electric field is described as:

E = \frac{\lambda}{2\pi \epsilon_0 r}

In this context:

\lambda= Linear charge density

\epsilon_0 = Permittivity of free space

r = Distance

The expression for linear charge density can be articulated as:

It is defined as

\lambda = \frac{q}{L}

By substituting,

E = \frac{\frac{q}{L}}{2\pi \epsilon_0 r}

E = \frac{q}{2\pi \epsilon_0 rL}

The initial and final electric force can be represented based on charge and electric field through

F_i = E_i q

F_f = E_f q

Upon substituting the electric field value, we obtain:

F_i = (\frac{q}{2\pi \epsilon_0 rL})q = (\frac{q^2}{2\pi \epsilon_0 rL})

If the length is reduced to one-third, then

F_f = (\frac{q}{2\pi \epsilon_0 r(L/3)})q = (\frac{3q^2}{2\pi \epsilon_0 rL})

The electric force ratio becomes

\frac{F_f}{F_i} = \frac{(\frac{3q^2}{2\pi \epsilon_0 rL})}{(\frac{q^2}{2\pi \epsilon_0 rL})}

\frac{F_f}{F_i} = 3

Hence, the determined ratio is 3.

You might be interested in
Experimental tests have shown that hammerhead sharks can detect magnetic fields. In one such test, 100 turns of wire were wrappe
Ostrovityanka [3204]

B = µo*N*I/2r  

Thus, B = 4πx10^-7*150*1.6/2*3.5 = 4.31x10^-5T

7 0
1 month ago
Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (a), the distance albert
Yuliya22 [3333]

To tackle this question, we know the following:

1 Albert equals 88 meters.

1 A = 88 m.

Initially, we square both sides of the equation:

(1 A)^2 = (88 m)^2

1 A^2 = 7,744 m^2

<span>Since 1 acre equals 4,050 m^2, let’s divide both sides by 7,744 to find out how many acres match this value:</span>

1 A^2 / 7,744 = 7,744 m^2 / 7,744

(1 / 7,744) A^2 = 1 m^2

Then multiply both sides by 4,050.

(4050 / 7744) A^2 = 4050 m^2

0.523 A^2 = 4050 m^2

<span>Thus, one acre is approximately 0.52 square alberts.</span>

7 0
3 months ago
What is the angular acceleration of the pencil when it makes an angle of 10.0 degrees with the vertical?
Sav [3153]
<span>  </span><span>When the net torque and moment of inertia are given, calculating becomes straightforward.

Using the equation torque = I * alpha, where I represents the moment of inertia and alpha is the angular acceleration.

Consequently, 0.098 / 0.000075 results in 1306.666... rad / s^2

While the angular acceleration stays the same, you can also determine the angular velocity at that instance, which is 21.36 rad / s.</span>
6 0
3 months ago
Read 2 more answers
A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved
inna [3103]

Answer:

4.17 m/s

Explanation:

To approach this problem, we start by examining the vertical movement of the pea.

The initial vertical speed of the pea is

u_y = u sin \theta = (7.39)(sin 69.0^{\circ})=6.90 m/s

We can solve the problem using the suvat equation:

v_y^2-u_y^2=2as

where

v_y is the vertical speed when the pea impacts the ceiling

a=g=-9.8 m/s^2 is the acceleration due to gravity

s = 1.90 is the distance from the ceiling

Finding v_y,

v_y = \sqrt{u_y^2+2as}=\sqrt{(6.90)^2+2(-9.8)(1.90)}=3.22 m/s

The horizontal speed stays constant throughout the motion and is defined by

v_x = u cos \theta = (7.39)(cos 69.0^{\circ})=2.65 m/s

Consequently, the speed of the pea upon reaching the ceiling is

v=\sqrt{v_x^2+v_y^2}=\sqrt{2.65^2+3.22^2}=4.17 m/s

5 0
3 months ago
Other questions:
  • A baseball thrown at an angle of 60.0° above the horizontal strikes a building 16.0 m away at a point 8.00 m above the point fro
    6·1 answer
  • Suppose you are drinking root beer from a conical paper cup. The cup has a diameter of 10 centimeters and a depth of 13 centimet
    15·1 answer
  • Jack pulls a sled across a level field by exerting a force of 110 n at an angle of 30 with the ground. what are the parallel and
    7·2 answers
  • If a person weighs 882 N on the surface of the earth, at what altitude above the earth’s surface must they be for their weight t
    7·1 answer
  • During a hockey game on a pond, the defenseman passes a 114-g hockey puck over the ice to the center, who fails to catch it. the
    15·1 answer
  • A titanium bicycle frame displaces 0.314 l of water and has a mass of 1.41 kg.part what is the density of the titanium in g/cm3
    7·1 answer
  • A worker pushes a 7 kg shipping box along a roller track. Assume friction is small enough to be ignored because of the rollers.
    10·1 answer
  • Write a hypothesis for Part II of the lab, which is about the relationship described by F = ma. In the lab, you will use a toy c
    14·2 answers
  • Killer whales are known to reach 32 ft in length and have a mass of over 8,000 kg. They are also very quick, able to accelerate
    15·1 answer
  • where again p is the phonon momentum, E is the photon energy and c is the speed of light. When you divide the photon energy foun
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!