Calculating Centripetal Force for Particle in Circular Motion

In summary, a particle with a charge of Q is fixed at the origin of an xy coordinate system. At t = 0, another particle with a mass of 0.694 g and a charge of 5.04 µC is located on the x-axis at x = 20.2 cm, moving with a speed of 34.0 m/s in the positive y direction. The question asks for the value of Q (in μC) that will allow the moving particle to execute circular motion. To solve this, Newton's 2nd law is applied, with the acceleration needed to execute circular motion being equal to the force acting on the particle divided by its mass. Using this, the equation F=k(.00504
  • #1
buttontugger
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A particle of charge Q is fixed at the origin of an xy coordinate system. At t = 0 a particle (m = 0.694 g, q = 5.04 µC is located on the x-axis at x = 20.2 cm, moving with a speed of 34.0 m/s in the positive y direction. For what value of Q (in μC) will the moving particle execute circular motion? (Neglect the gravitational force on the particle.)

I tried plugging everything in, I just can't seem to figure out where to put the mass or velocity, if at all needed.

does F=k(.00504C)(Q)/(.202^2) ?

I really need somewhere to start
 
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  • #2
What must the acceleration be, if it's to execute circular motion? Apply Newton's 2nd law.

Note that µC means micro C = 10-6 C.
 

Related to Calculating Centripetal Force for Particle in Circular Motion

1. What is centripetal motion of charges?

Centripetal motion of charges refers to the circular motion of charged particles, such as electrons, in an electric or magnetic field. The particles are accelerated towards the center of the circle due to the force exerted on them by the field.

2. What are some examples of centripetal motion of charges?

Some examples of centripetal motion of charges include the motion of electrons in a cathode ray tube, the motion of charged particles in a particle accelerator, and the motion of electrons in an atom's orbit.

3. What is the role of centripetal force in this type of motion?

Centripetal force is the force that causes a charged particle to move in a circular path. This force is directed towards the center of the circle and is equal to the product of the particle's mass, velocity, and the radius of the circle.

4. How does the strength of the electric or magnetic field affect the centripetal motion of charges?

The strength of the electric or magnetic field determines the magnitude of the centripetal force acting on the charged particle. A stronger field will result in a greater force and thus a faster circular motion, while a weaker field will result in a slower motion.

5. Can centripetal motion of charges be used in practical applications?

Yes, centripetal motion of charges has many practical applications, including in particle accelerators, mass spectrometers, and in the functioning of electric motors and generators. It is also used in the development of new technologies, such as charged particle therapy for cancer treatment.

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