Force on a moving charge is given by formula

here we know that this force will be maximum when velocity is perpendicular to magnetic field

here we know that



now we have


Answer:
2.210N
Explanation:
Workdone = Force x distance
Distance = 38m , Workdone = 84J
Hence 84J = Force x 38m
Force = 84J / 38m
Force = 2.210N =2.2N
1) The average velocity is 
2) The instantaneous velocity is 
Explanation:
1)
The average velocity of an object is given by

where
d is the displacement
t is the time elapsed
In this problem, the position of the particle is given by the function

where t is the time.
The position of the particle at time t = 6 sec is

While the position at time t = 12 sec is

So, the displacement is

And therefore the average velocity is

2)
The instantaneous velocity of a particle is given by the derivative of the position vector.
The position vector is

By differentiating with respect to t, we find the velocity vector:

Therefore, the instantaaneous velocity at any time t can be found by substituting the value of t in this expression.
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Explanation:
It is known that wave intensity is the power to area ratio.
Mathematically, I = 
As it is given that power is 28.0 W and area is
.
Therefore, sound intensity will be calculated as follows.
I = 
= 
= 
or, = 
Thus, we can conclude that sound intensity at the position of the microphone is
.