Hi there!
We can use the work-energy theorem to solve.
Recall that:
The initial kinetic energy is 0 J because the crate begins from rest, so we can plug in the given values for mass and final velocity:
Now, we can define work:
Now, plug in the values:
Solve for theta:
.Answer:
The value of the work done is .
Explanation:
When a charged particle having charge is moving through an electric field
, the net force (
) on the charge is
and the work done () by the particle is
Given, .
Substitute the value of electric field in equation (1) and then substitute the result in equation (2).