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
Alexxandr [17]
3 years ago
13

An alpha particle (charge +2e) travels in a circular path of radius .5m in a magnetic field of 1.0 T. Find the (a) period, (b) s

peed, and (c) kinetic energy (in electron volts) of the alpha particle. Take m = 6.65 x 10 -27 kg for the mass of the alpha particle.
Physics
1 answer:
navik [9.2K]3 years ago
5 0

Given Information:

Radius = r = 0.5 m

Magnetic field = 1.0 T

Required Information:

Period = T = ?

Speed = v = ?

Kinetic energy = KE = ?

Answer:

Period = 0.13x10⁻⁶ seconds

speed = 24.16x10⁶ m/s

Kinetic energy = 12.11 MeV

Explanation:

(a) period

The time period of alpha particle is related to its orbital speed as

T = 2πr/v  eq. 1

According to newton's law

F = ma

Force due to magnetic field is given by

F = qvB

qvB = ma

qvB = m(v²/r)

qB = mv/r

v = qBr/m  eq. 2

substitute the eq. 2 in eq. 1

T = 2πr/qBr/m

r cancels out

T = 2π/qB/m

T = 2πm/qB

T = 2π*6.65x10⁻²⁷/2*1.602x10⁻¹⁹*1

T = 0.13x10⁻⁶ seconds

(b) speed

From equation 1

T = 2πr/v

v = 2πr/T

v = 2π*0.5/0.13x10⁻⁶

v = 24.16x10⁶ m/s

(c) kinetic energy (in electron volts)

Kinetic energy is given by

KE = 0.5mv²

KE = 0.5*6.65x10⁻²⁷*(24.16x10⁶)²

KE = 1.94x10⁻¹² J

since 1 electron volt has 1.602x10⁻¹⁹ J

KE = 1.94x10⁻¹²/1.602x10⁻¹⁹

KE = 12.11 MeV

You might be interested in
A boy whirls a ball on a string in a horizontal circle of radius 1 m. How many revolutions per minute must the ball make if its
spayn [35]

Answer:

Nearest, the revolutions per minute will be 29.

Explanation:

Given that,

Radius of circle = 1 m

Acceleration a =g

We know that,

Angular frequency is defined as,

\omega=2\pi n

Where, n = number of revolutions in one second

We need to calculate the revolutions in one second

Using formula of centripetal acceleration

a=\omega^2r

Put the value of a and ω

g=(2\pi n)^2r

n=\sqrt{\dfrac{g}{r}}\times\dfrac{1}{2\pi}

Put the value into the formula

n=\sqrt{\dfrac{9.8}{1}}\times\dfrac{1}{2\pi}

n=0.49

We need to calculate the revolutions per minute

Using value for the revolutions per minute

n=0.49\times60

n=29.4

Hence, Nearest, the revolutions per minute will be 29.

7 0
2 years ago
A child jumps on a trampoline, which of the following causes the child to rise in the air?
weeeeeb [17]

Answer:

Force pull the child up. With the springs and the weight when you jump.

4 0
2 years ago
A skateboarder shoots off a ramp with a velocity of 7.3 m/s, directed at an angle of 60° above the horizontal. The end of the ra
erica [24]

Answer:

y maximum   3.54 m, value X  2.35 m

Explanation:

We have a projectile launch problem, let's calculate the maximum height of the projectile, where the vertical speed must be zero

                     

        Vyf² = Vyo² - 2g (Y-Yo)

Where Yo is the initial height of the ramp 1.5 m

        0 = Vyo² -2g (Y-Yo)

        Y-Yo = Voy² / 2g

       Y = Yo + Voy² / 2g

Let's calculate the velocity components using trigonometry

       Voy = vo without T

       Vox = Vo cost

       Voy = 7.3 sin 60

       Vox = 7.3 cos 60

       Voy = 6.32 m / s

       Vox = 3.65 m / s

Let's calculate the maximum height

         Y = 1.5 +6.32²/2 9.8

          Y = 3.54 m

This is the maximum height from the ground

b) They ask us for the position of this point horizontally, we can calculate it looking for the time it took for the skateboarder to reach the highest point

                             

          Vfy = Voy - gt

          0 = Voy - gt

           t = Voy / g

           t = 6.32 / 9.8

           t = 0.645 s

     

Since there is no acceleration on the x-axis, we have a uniform movement, we can calculate the distance for this time

          X = Vox t

          X = 3.65 0.645

          X= 2.35 m

8 0
3 years ago
A. Calculate the electric potential energy stored in a capacitor that stores <img src="https://tex.z-dn.net/?f=3.40%20x%2010%5E%
sertanlavr [38]

Part a)

As we know that energy stored inside the capacitor is given as

U = \frac{1}{2}CV^2

for a given capacitor we know

Q = CV

Now we can use it in above equation to find the energy

U = \frac{1}{2}QV

U = \frac{1}{2}(3.4\times 10^{-6})(24)

U = 40.8\times 10^{-6} J

PART b)

If two negative charges are hold near to each other and then released

Then due to mutual repulsion they start moving away from each other

Due to mutual repulsion as the two charges moving away the electrostatic potential energy of two charges will convert into kinetic energy of the two charges.

So here as they move apart kinetic energy will increase while potential energy will decrease

Part c)

As we know that capacitance is given as

C = \frac{Q}{V}

here we know that

Q = 3\times 10^{-10}C

V = 35 volts

C = \frac{3\times 10^{-10}}{35}

C = 8.6 \times 10^{-12} F

5 0
3 years ago
Read 2 more answers
What is net force? A. The fundamental forces B. The unified force C. The gravitational force D. The vector sum of the forces
avanturin [10]
It is the vector sum of the forces
8 0
3 years ago
Read 2 more answers
Other questions:
  • In order for an object to sink, its density must ___________ 1g/ml.
    7·2 answers
  • What are 2 different ways you can improve your endurance, muscular strength, flexibility, and body composition before your next
    5·1 answer
  • The variable you want to test is...
    6·1 answer
  • Why the fortune tellers never win the lottery
    10·1 answer
  • Which of these is not considered a pure substance?
    15·2 answers
  • The resistance of an electric heater is 50 Ω when connected to 120 V. How much energy does it use during 15 min of operation?
    7·1 answer
  • How u do this atomic mass
    14·2 answers
  • What do the astrometric, doppler, and transit methods share in common?
    12·1 answer
  • A proton in the nucleus of an atom has an electrical charge of:<br> neutral<br> -<br> +<br> zero
    13·1 answer
  • if a cyclist traveled southwest a distance of 12,250 meters in 1.7 hrs what would the velocity of the cyclist be?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!