'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.

• $m=1 \ \text{kg}$

• $Q=1 \ \text{C}$

• $B=1 \ \text{T}$

• $g=9.8 \ \text{m} / \text{s}^2$

• $\theta=45^{\text{o}}$