# 'Charging' down the wedge.

An object with charge $$Q$$ and mass $$m$$ is held at rest on a friction-less inclined inclined plane of angle $$\theta$$. There exists a magnetic field $$\vec{B}$$ as shown in the figure. Then it is released. Find the distance (in meters) the object travels in $$1$$ second.

$$\textbf{Details and Assumptions}$$

• The inclined plane is sufficiently long.

• There is no friction, as mentioned above.

• $$m=1 \ \text{kg}$$

• $$Q=1 \ \text{C}$$

• $$B=1 \ \text{T}$$

• $$g=9.8 \ \text{m} / \text{s}^2$$

• $$\theta=45^{\text{o}}$$

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