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A charged particle of mass m=1.242 g and charge q=1.144 μC is moving in the xz-plane...

A charged particle of mass m=1.242 g and charge q=1.144 μC is moving in the xz-plane (unit vectors i and k) under the action of both Earth's gravity g=−g k and the electric field E=−E i, where magnitude E=10.8 kV/m. The particle started at position x0=z0=0 with the initial velocity v0=v0i, the initial speed being v0=0.98 m/s.

At some point later in time, the particle is found in a position with the z-coordinate z=-32.8 cm. What is the x-coordinate of this position?:
x= ____ cm.

What is the speed v of the particle at this position?:
v= ____ m/s.

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Answer #1

Analyse motion of the charged particle in x axis and z axis seperately. Find the time taken when the particle is in given z coordinate.Then find its position in x coordinate. Find its velocity along the axes seperately and get the speed by taking magnitude of resultant velocity.

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