Mass of a particle traveling in a circular path

In summary, the mass of the particle can be found by using the equation mv = sqrt(2*m*ke), where m is the mass and ke is the kinetic energy of the particle. The particle has a charge of 1.6 x 10^-19 C and is moving in a circular path with a radius of 10 cm. The kinetic energy is given as 3.2 x 10^-19 J and it is moving perpendicular to a magnetic field of 0.200 T. By substituting these values into the equation, the mass of the particle is found to be approximately 3.2 x 10^-21 kg.
  • #1
taylor.simon
8
0
1. Homework Statement
what is the mass of a particle which travels in a circular path with a kinetic energy of 3.2 x 10 ^-19 J moving perpendicular to a 0.200t magnetic field if it has a charge of 1.6 x10 ^-19 C and the path radius is 10 cm


2. Homework Equations
ke= 1/2 mv^2

mv^2/r = qvB

r = mv^2/qvB = mv/qB

mv = qBr



3. The Attempt at a Solution


mv =qbr
mv = 1.6 x10 ^-19 C x 0.200 T x 0.1 M
mv = 3.2x 10 ^-21

i can't figure out how to separate the mass and velocity using ke=1/2mv^2
any help is much appreciated
 
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  • #2
mv = sqrt(2*m*ke)

Find m.
 

1. What is the formula for calculating the mass of a particle traveling in a circular path?

The formula for calculating the mass of a particle traveling in a circular path is m = (mv2)/r, where m is the mass of the particle, v is the velocity, and r is the radius of the circle.

2. Does the mass of the particle affect its circular motion?

Yes, the mass of the particle does affect its circular motion. According to Newton's second law of motion, the force required to keep an object moving in a circular path is dependent on its mass. This means that a particle with a larger mass will require more force to maintain its circular motion compared to a particle with a smaller mass.

3. How is the mass of a particle related to its centripetal force?

The mass of a particle is directly proportional to its centripetal force. This means that as the mass of the particle increases, the centripetal force required to keep it in a circular path also increases. This relationship is expressed in the formula F = (mv2)/r, where F is the centripetal force.

4. Can the mass of a particle affect the radius of its circular path?

Yes, the mass of a particle can affect the radius of its circular path. According to the formula m = (mv2)/r, the radius of the circular path is inversely proportional to the mass of the particle. This means that as the mass increases, the radius of the circular path decreases, and vice versa.

5. How does the mass of a particle affect its angular velocity?

The mass of a particle does not directly affect its angular velocity. Angular velocity is determined by the speed of the particle and the radius of its circular path, according to the formula ω = v/r. However, the mass does indirectly affect the angular velocity by affecting the centripetal force, which in turn affects the speed of the particle.

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