An electron with a speed of 3.00 106 m/s moves into a uniform electric field of magnitude 1.00 103 n/c. the field lines are parallel to the electron's velocity and pointing in the same direction as the velocity. how far does the electron travel before it is brought to rest?

0.0256 m

Explanation:

initial speed of electron, u = 3 x 10^6 m/s

Final speed of electron, v = 0 m/s

Electric field strength, E = 1 x 10^3 N/C

Charge on electron, q = 1.6 x 10^-19 C

mass of electron, m = 9.1 x 10^-31 kg

The electron experiences an electric force due to electric field which is given by

F = q E

Where, f be the electric force, and E be the strength of electric field.

Let a be the acceleration of electron

So,

where, m is the mass of electron

By substituting the values, we get

Let the distance traveled by the electron before coming to rest is s.

Use third equation of motion

s = 0.0256 m

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min