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
storchak [24]
2 years ago
14

If a proton were released from rest at the sphere's surface, what would be its speed far from the sphere?

Physics
2 answers:
balu736 [363]2 years ago
5 0

Let the sphere is having charge Q and radius R

Now if the proton is released from rest

By energy conservation we can say

U = K

\frac{kQe}{R} = \frac{1}{2}mv^2

\frac{2kQe}{mR} = v^2

now take square root of both sides

v =\sqrt{\frac{2kQe}{mR}}

so the proton will move by above speed and

here Q = charge on the sphere

R = radius of sphere

k = 9 * 10^9


il63 [147K]2 years ago
4 0

The speed of proton is about 1 × 10⁷ m/s

<h3>Further explanation</h3>

Electric charge consists of two types namely positive electric charge and negative electric charge.

There was a famous scientist who investigated on this matter. His name was Coulomb and succeeded in formulating a force of attraction or repulsion between two charges.

\large {\boxed {F = k \frac{Q_1 Q_2}{R^2} } }

<em>F = electric force(N)</em>

<em>k = electric constant (N m² / C²)</em>

<em>q = electric charge (C)</em>

<em>r = distance between charges (m)</em>

<em>The value of k in a vacuum = 9 x 10⁹ (N m² / C²)</em>

Let us now tackle the problem!

Let me repeat the question!

<em>A 3.0 cm -diameter isolated metal sphere carries a net charge of 0.90 μC. If a proton were released from rest at the sphere's surface, what would be its speed far from the sphere?</em>

<u>Given:</u>

diameter of sphere = d = 3 cm

charge of sphere = 0.90 μC

mass of proton = 1.67 × 10⁻²⁷ kg

charge of proton = 1.6 × 10⁻¹⁹ C

<u>Unknown:</u>

speed of proton = v = ?

<u>Solution:</u>

We will use the law of conservation of energy to solve this problem.

The potential energy of proton on the surface of the sphere will be the same as the kinetic energy when it is far from the sphere.

Ek = Ep

\frac{1}{2} m_{proton}v^2 = k \frac{Q_{sphere} ~ q_{proton}}{R}

\frac{1}{2} (1.67 \times 10^{-27})v^2 = 9 \times 10^9 \times \frac{0.9 \times 10^{-6} \times 1.6 \times 10^{-19}}{\frac{1}{2} \times 3 \times 10^{-2}}

\large {\boxed {v \approx 1 \times 10^7 ~ m/s} }

<h3>Learn more</h3>
  • The three resistors : brainly.com/question/9503202
  • A series circuit : brainly.com/question/1518810
  • Compare and contrast a series and parallel circuit : brainly.com/question/539204

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Static Electricity

Keywords: Series , Parallel , Measurement , Absolute , Error , Combination , Resistor , Resistance , Ohm , Charge

You might be interested in
A 3.0-kg block starts at rest at the top of a 37° incline, which is 5.0 m long. Its speed when it reaches the bottom is 2.0 m/s.
Mama L [17]

Answer: f_{r} = 16.49N

Explanation: The object is placed on an inclined plane at an angle of 37° thus making it weight have two component,

W_{x} = horizontal component of the weight = mgsinФ

W_{y} = vertical component of weight = mgcosФ

Due to the way the object is positioned, the horizontal component of force will accelerate the object thus acting as an applied force.

by using newton's law of motion, we have that

mgsinФ - f_{r} = ma

where m = mass of object=5kg

a = acceleration= unknown

Ф = angle of inclination = 37°

g = acceleration due to gravity = 9.8m/s^{2}

f_{r} = frictional force = unknown

we need to first get the acceleration before the frictional force which is gotten by using the equation below

v^{2} = u^{2} + 2aS

where v = final velocity = 2m/s

u = initial velocity = 0m/s (because the object started from rest)

a= unknown

S= distance covered = length of plane = 5m

2^{2} = 0^{2} + 2*a*5\\\\4= 10 *a\\\\a = \frac{4}{10} \\a = 0.4m/s^{2}

we slot in a into the equation below to get frictional force

mgsinФ - f_{r} = ma

3 * 9.8 * sin 37 - f_{r} = 3* 0.4

17.9633 - f_{r} =  1.2

f_{r} = 17.9633 - 1.2

f_{r} = 16.49N

4 0
3 years ago
A centrifuge was used to separate into it’s components. What conclusions out the sample can be formed based on the technique use
Tatiana [17]

-- The sample was a fluid.

-- It was a mixture or a suspension ... NOT a solution.

4 0
3 years ago
Joe Burrow of the Cincinnati Bengals ate a turkey sandwich and an apple for lunch. Later that day, he spent 2 hours on the footb
Nostrana [21]

Answer:

A Thermal energy was converted to kinetic energy

7 0
2 years ago
27.0 mL to the nearest milliliter
Mila [183]

Answer:

27.0 milliliters is the nearest mililiter so 27.0 is the answer

Explanation:

8 0
2 years ago
3. Si usted duplicara la amplitud de un M.A.S. ¿cómo cambiaría la frecuencia, velocidad máxima, la aceleración máxima y la energ
WITCHER [35]

Answer:

Explanation:

la frecuencia = ω/2π, nada cambio

v(max) = ωA → ω2Α = 2ωA  duplicara velocidad máxima

a(max) = ω²Α → ω²2Α = 2ω²Α duplicara la aceleración máxima

la energía total ½kA² → ½k(2Α)² = 4(½kA²) cuatro veces la energía

8 0
2 years ago
Other questions:
  • The force of repulsion between two like-charged particles will increase if
    12·2 answers
  • Object A attracts object B with a gravitational force of 10 newtons from a given distance. If the distance between the two objec
    8·1 answer
  • Does wax paper, aluminum foil, or plastic wrap cause more friction
    7·2 answers
  • Physical Science
    9·1 answer
  • Which by freud domain would cover bullying
    7·1 answer
  • which type of geoscientist interprets data from certain instruments to help detect earthquakes and identify fault lines
    15·2 answers
  • Whichiscorrect?(A)anopaqueobjectdoesnotallowlighttopassthroughit.(B)an
    7·2 answers
  • Mr. Covault gave his students an assignment to design and conduct experiments that would allow them to find the relationship bet
    7·1 answer
  • When dropping a grape and a bowling ball from a height, the force of gravity would be identical on each object. True or False
    9·2 answers
  • Dan is working as a family resources coordinator. Which of these statements are true about him?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!