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
Inessa [10]
3 years ago
15

A proton and an alpha particle are momentarily at rest at adistance r from each other. They then begin to move apart.Find the sp

eed of the proton by the time the distance between theproton and the alpha particle doubles. Both particles arepositively charged. The charge and the mass of the proton are,respectively, e and m. The e charge and the mass of the alphaparticle are, respectively, 2e and 4m.
Find the speed of the proton (vf)p by the time the distancebetween the particles doubles.
Express your answer in terms of some or all of the quantities,e, m, r, and ?0.
Which of the following quantities are unknown?
A initial separation of the particles
B final separation of the particles
C initial speed of the proton
D initial speed of the alpha particle
E final speed of the proton
F final speed of the alpha particle
G mass of the proton
H mass of the alpha particle
I charge of the proton
J charge of the alpha particle
Physics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

The unknown quantities are:

E and F

The final velocity of the proton is:

√(8/3) k e^2/(m*r)

Explanation:

Hello!

We can solve this problem using conservation of energy and momentum.

Since both particles are at rest at the beginning, the initial energy and momentum are:

Ei = k (q1q2)/r

pi = 0

where k is the coulomb constant (= 8.987×10⁹ N·m²/C²)

and q1 = e and q2 = 2e

When the distance between the particles doubles, the energy and momentum are:

Ef = k (q1q2)/2r + (1/2)m1v1^2 + (1/2)m2v2^2

pf = m1v1 + m2v2

with m1 = m,   m2 = 4m,    v1=vf_p,    v2 = vf_alpha

The conservation momentum states that:

pi = pf      

Therefore:

m1v1 + m2v2 = 0

That is:

v2 = (1/4) v1

The conservation of energy states that:

Ei = Ef

Therefore:

k (q1q2)/r = k (q1q2)/2r + (1/2)m1v1^2 + (1/2)m2v2^2

Replacing

      m1 =  m, m2 = 4m, q1 = e, q2 = 2e

      and   v2 = (1/4)v1

We get:

(1/2)mv1^2 = k e^2/r + (1/2)4m(v1/4)^2 =  k e^2/r + (1/8)mv1^2

(3/8) mv1^2 = k e^2/r

v1^2 = (8/3) k e^2/(m*r)

You might be interested in
A spherical capacitor is formed from two concentric sphericalconducting shells separated by vacuum. The inner sphere has radius1
zubka84 [21]

Explanation:

(1).  Formula to calculate the potential difference is as follows.

       \Delta V = -\int E dr

                  = -\int \frac{kq}{r^{2}} dr

                 = \frac{kq}{r_{f}} - \frac{kq}{r_{i}}

                 = \frac{kq(r_{f} - r_{i})}{r_{f}r_{i}}

                 = \frac{9 \times 10^{9} \times 3.30 \times 10^{-9}(0.1 - 0.015)}{0.1 \times 0.015}

                = 38.7 volts

Therefore, magnitude of the potential difference between the two spheres is 38.7 volts.

(2).  Now, formula to calculate the energy stored in the capacitor is as follows.

           E = \frac{1}{2}QV

              = \frac{1}{2} \times 3.30 \times 10^{-9} \times 3.87 V

              = 6.39 \times 10^{-8} J

Thus, the electric-field energy stored in the capacitor is 6.39 \times 10^{-8} J.

7 0
2 years ago
Read 2 more answers
What would be the result of an alpha particle coming into a magnetic field?
Aneli [31]
The right answer for the question that is being asked and shown above is that: "C) The alpha particle will be deflected in a curve path. " the result of an alpha particle coming into a magnetic field is that <span>C) The alpha particle will be deflected in a curve path. </span>
8 0
2 years ago
Read 2 more answers
Jason knows that the equation to calculate the period of a simple pendium T=2π√L/8, where T is the period, L is the length of th
erik [133]

Answer: L can be expressed in terms of g and f as

L = g/(2πf)^2

Explanation: Please see the attachments below

3 0
3 years ago
physical changes occur when existing bonds break and new bonds form
Luba_88 [7]
<span>A physical change is any change that alters the form or appearance of a substance but does not change it into another substance 
-Some of the physical properties may be altered, but the chemical composition stays the same 
-Examples: Bending, Crushing, Cutting, Melting, Freezing, Boiling</span>
6 0
3 years ago
The Coriolis effect
alexandr402 [8]
The coriolis effect is due to the rotation of the earth. Look up youtube videos on it, its pretty cool. If we didn't have coriolis effect then hurricane's wouldn't even form! Also it affects the trajectory of hurricanes. If you look at a path a hurricane takes it always curves quite a bit. That's also because of the coriolis affect. Imagine you're on a merry go round or on some spinning disk. You throw a ball towards the center. The ball will seem to curve away from your target because you're spinning. Now its not because the ball curved and you missed, the ball goes in a straight line but because of the spinning the target you aimed at shifted. 
3 0
3 years ago
Other questions:
  • An ideal monatomic gas at 300 k expands adiabatically and reversibly to twice its volume. what is its final temperature?
    12·1 answer
  • What should you do when a crate is too heavy to be lifted by the pulley?
    13·1 answer
  • A car cruises at a constant rate of 50 miles per hour. How much time will it take to go 600 miles?
    8·1 answer
  • Can someone help me PLEASE? I need to finish this because I have more homework and I need to go to bed
    7·1 answer
  • The wavelength of the light is 0.63 micrometers. How much of this length stays in 1 centimeter
    6·1 answer
  • 4. A 75 kg bobsled is pushed along a horizontal surface by two athletes. After the
    9·1 answer
  • List examples of foliated and non-foliated rocks. Explain the difference between the two types of metamorphic rocks.
    14·1 answer
  • In order for two objects to have the same temperature, they must a. be in thermal equilibrium.
    12·1 answer
  • What is variable velocity?​
    14·2 answers
  • What is the probability of randomly selecting a z-score less than z = 2.25 from a normal distribution?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!