Find the final velocity of a metallic bar

In summary, the problem involves a ramp at an angle theta with a metallic bar and weight attached by a rope at height h. There is also a magnetic field with magnitude B and direction k. The equations involved are PE+KE=PE+KE and F=q*v*B. After solving for V, it is determined that the magnetic field does not do work and therefore does not affect the final velocity.
  • #1
TobyRaicoon
1
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Homework Statement


We have a ramp with some angle theta. The metallic bar sitting on a ramp at height h. Also, we have some weight that attached by a rope to a metallic bar while hanging on the height h. There is a magnetic field with a magnitude B and direction k.
M = metallic bar
m = weight
height is the same for metallic bar and weight

Homework Equations


PE + KE = PE +KE
F = q*v*B

The Attempt at a Solution


Mgh + mgh = 0.5MV^2 + mgh(1+1/sin/tetha)

Solve for V.

Then I am lost because the magnetic field does not do work. Hence the final velocity is not changing due to a presence of a magnetic field.
 
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  • #2
TobyRaicoon said:
have a ramp with some angle theta. The metallic bar sitting on a ramp at height h. Also, we have some weight that attached by a rope to a metallic bar while hanging on the height h. There is a magnetic field with a magnitude B and direction
This is going to require either a diagram or a far better description.
 

FAQ: Find the final velocity of a metallic bar

1. How do you calculate the final velocity of a metallic bar?

The final velocity of a metallic bar can be calculated using the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

2. What units are used to express the final velocity of a metallic bar?

The final velocity of a metallic bar is typically expressed in meters per second (m/s). However, it can also be expressed in other units such as kilometers per hour (km/h) or feet per second (ft/s).

3. Can the final velocity of a metallic bar be negative?

Yes, the final velocity of a metallic bar can be negative if the bar is slowing down or moving in the opposite direction of its initial velocity. This indicates a decrease in speed or a change in direction.

4. What factors can affect the final velocity of a metallic bar?

The final velocity of a metallic bar can be affected by the initial velocity, the acceleration, and the time. Other factors such as air resistance, friction, and external forces can also impact the final velocity.

5. How does the mass of a metallic bar affect its final velocity?

The mass of a metallic bar does not directly affect its final velocity. However, a heavier bar may require more force to accelerate to a certain final velocity compared to a lighter bar. This is due to the relationship between mass and acceleration, as described by Newton's second law of motion.

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