Mass of Particle in 0.200T Magnetic Field

Once you have v, you can use the equation r = mv/qB to find the mass. In summary, to find the mass of a particle traveling in a circular path with a kinetic energy of 3.2 x 10^-19 J moving perpendicular to a 0.200 T magnetic field with a charge of 1.6 x 10^-19 C and a path radius of 10 cm, you can use the equation r = mv/qB and solve for the mass by first finding the velocity with the equation ke = ½(mv)v.
  • #1
taylor.simon
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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

Homework Equations


ke= 1/2 mv^2

mv^2/r = qvB

r = mv^2/qvB = mv/qB

mv = qBr

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
 
Last edited:
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  • #2


Write ke=1/2mv^2 as ke = ½(mv)v and replace the mv with value you found. Since you know the value of ke, you can then easily find v.
 

1. What is the definition of "Mass of Particle in 0.200T Magnetic Field"?

The mass of a particle in a 0.200T magnetic field refers to the amount of matter that makes up the particle while it is under the influence of a magnetic field with a strength of 0.200 Tesla.

2. How is the mass of a particle in a 0.200T magnetic field calculated?

The mass of a particle in a 0.200T magnetic field can be calculated using the formula: m = qB/rv, where m is the mass of the particle, q is its charge, B is the magnetic field strength, r is the radius of the particle's path, and v is its velocity.

3. What units are used to measure the mass of a particle in a 0.200T magnetic field?

The mass of a particle in a 0.200T magnetic field is typically measured in kilograms (kg) or grams (g).

4. How does the mass of a particle in a 0.200T magnetic field affect its behavior?

The mass of a particle in a 0.200T magnetic field plays a role in determining its path and velocity under the influence of the magnetic field. The larger the mass, the more difficult it is for the particle to change direction or speed in the field.

5. Can the mass of a particle in a 0.200T magnetic field change?

Yes, the mass of a particle in a 0.200T magnetic field can change if the particle gains or loses mass due to interactions with other particles or energy. However, under a constant magnetic field strength, the mass of the particle will remain the same.

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