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
Sedbober [7]
3 years ago
9

A proton is traveling to the right at 2.0 * 107 m/s. It has a head on perfectly elastic collision with a carbon atom. The mass o

f the carbon atom is 12 times the mass of the proton.
What are the speed and direction of each after the collision?

Physics
2 answers:
mars1129 [50]3 years ago
8 0

Answer:

(a) v_{fC} = 3.1\times 10^{- 6}\ m/s, in the initial direction of the proton.

(b) v_{fp} - 3.7\times 10^{- 5}\ m/s, in the opposite direction.

Solution:

As per the question:

Velocity of the proton, v_{ip} = 2.0\times 10^{7}\ m/s

If,

Mass of proton  be m_{p}

Then

Mass of carbon atom, m_{C} = 12m_{p}

Now, if the initial velocity of the proton be v_{ip}

Let the carbon atom be initially at rest with initial velocity v_{iC} = 0\ m/s

As the collision is perfectly elastic:

Using the principle of conservation of linear momentum:

m_{p}v_{ip} + m_{c}v_{iC} = m_{p}v_{fp} + m_{c}v_{fC}

v_{fp} = 2.0\times 10^{7} - 12v_{fC}             (1)

Using the conservation of energy:

\frac{1}{2}m_{p}v_{ip}^{2} + \frac{1}{2}m_{c}v_{iC}^{2} = \frac{1}{2}m_{p}v_{fp}^{2} + \frac{1}{2}m_{c}v_{fC}^{2}

\frac{1}{2}m_{p}v_{ip}^{2} + 0 = \frac{1}{2}m_{p}v_{fp}^{2} + \frac{1}{2}12m_{p}v_{fC}^{2}

Using eqn (1):

(2.0\times 10^{7})^{2} = (2.0\times 10^{7} - 12v_{fC})^{2} + 12v_{fC}^{2}

Solving the above quadratic eqn, we get:

v_{fC} = 3.1\times 10^{- 6}\ m/s

Since, the velocity here is positive, i.e., the direction of the carbon atom is along the initial direction of proton.

Now, for the speed of the proton:

v_{fp} = 2.0\times 10^{7} - 12(3.1\times 10^{- 6}) = - 3.7\times 10^{- 5}\ m/s

Negative sign here indicates that the movement of the proton is in the opposite direction.

Nat2105 [25]3 years ago
6 0

Answer:

Vc = 17.83m/s

and Vp = 0.04m/s

This problems was solver by applying the principle of conservation of momentum and energy.

Explanation:

The kinetic energy is conserved.

You might be interested in
For metalloids on the periodic table, how do the group number and the period number relate?
lapo4ka [179]
Im guessing it's (a) since the numbers go in chronological order and you read the periodic table left to right
3 0
3 years ago
Read 2 more answers
what is the resistance of a clock if it has a current of 0.30 a and runs on a 9.0-v battery? 0.033 2.7 9.3 30
Nataliya [291]
R = V/I =  9 / 0.3

R = 30 ohms.
5 0
3 years ago
Read 2 more answers
A drone flies 8 m/s due East with respects to the wind. The wind is blowing 6 m/s due North with respects to the ground. What is
vekshin1

Answer:

B. 10m/s

Explanation:

If a drone flies 8 m/s due East with respects to the wind and the wind is blowing 6 m/s due North, the speed of the drone with respect to the ground is its displacement.

Displacement is calculated using Pythagoras theorem.

d² = 8²+6²

d² = 64+36

d² = 100

Square root both sides

√d² = √100

d = 10m/s

Hence the distance of the drone with respect to the ground is 10m/s

Option B is correct

8 0
3 years ago
Which of the following would have the greatest force of gravitational attraction?
Mekhanik [1.2K]

Answer:

two 5kg objects 2 meters apart✨

8 0
3 years ago
What two factors affect the strength of a magnetic field
Stels [109]

Answer:

Factors Affecting the Strength of the Magnetic Field of an Electromagnet: Factors that affect the strength of electromagnets are the nature of the core material, strength of the current passing through the core, the number of turns of wire on the core and the shape and size of the core.

Explanation:

I HOPE I HELPED :)

7 0
3 years ago
Other questions:
  • Is this snow or water
    11·2 answers
  • 2. A string with a length of 0.9m that is fixed at both ends
    15·1 answer
  • 7) A6 kg ball is thrown at 12 m/s. What is the momentum of the ball before it strikes a pin?
    15·1 answer
  • true or false temperature and precipitation are the two most important elements of climate for the majorit of living things
    11·1 answer
  • If a ball is 10m high with what velocity will it fall?
    13·1 answer
  • An object is travelling in a straight line. The diagram is the speed-time graph for
    15·1 answer
  • Explain how you can use the factors of production to produce a fruit juice in a production company
    12·1 answer
  • 3. When two liquids are mixed and a solid
    13·1 answer
  • A car moved 35 km to the South and Then 10 km to the North. What is its Displacement?
    9·1 answer
  • Frieda stands on a hill with a slope of 62°. If her mass is 49 kg, what is the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!