Need help with a electromagnetism question

[Gardalay]

A stone is moving constantly in a horizontal motion in a uniform magnetic field in the direction pointing into the page. The field's strength is 1.7T. How fast does the stone have to move in order for it to remain moving horizontally without any vertical deviation?

For this quesion, using (9.8)(mass of rock)=QvB doesn't work because there's no vertical deviation. I also tried to do mv^2/r=QvB, but since it is moving horizontally and not in a circle, that doesn't work either. Can someone help me with this question please.

 

[ehild]

Is that stone charged? What is its charge? Is the page vertical?

Do you know the meaning of the letters in the equations you cited? Is any of them include "vertical deviation"?

ehild

 

[Gardalay]

yeah i know the letters...the charge is -0.010C, my page is not vertical...

 

[ehild]

What is the direction of the magnetic field? You said, it is pointing into the page. Which page? Show a picture.

ehild

 

[rdl]

Based on the information provided, it seems like the stone is experiencing a constant force due to the magnetic field. In order for the stone to remain moving horizontally without any vertical deviation, the magnetic force must be equal and opposite to the gravitational force acting on the stone. This can be expressed as Fm = -Fg, where Fm is the magnetic force and Fg is the gravitational force.

To determine the speed at which the stone needs to move, we can use the equation Fm = QvB, where Q is the charge of the stone, v is its velocity, and B is the strength of the magnetic field. Since the stone is not deviating vertically, we can assume that QvB = mg, where m is the mass of the stone and g is the acceleration due to gravity.

Therefore, we can rearrange the equation to solve for v, giving us v = mg/QB. Plugging in the values given in the problem (m = mass of rock, Q = charge of rock, B = 1.7T), we can calculate the speed at which the stone needs to move horizontally to remain in its current path.

It's important to note that this calculation assumes that the stone is a point particle and does not take into account any other forces acting on the stone. In a real-world scenario, there may be other factors to consider such as air resistance or friction that could affect the stone's motion. It's always best to analyze a problem in its entirety and consider all possible factors before reaching a conclusion. I hope this helps with your question.