A proton, traveling with a velocity of 1.6 × 106 m/s due east, experiences a maximum magnetic force of 8.0 × 10-14 N. The direction of the force is straight down, toward the surface of the earth. What is the magnitude and direction of the magnetic field B, assumed perpendicular to the motion?

The magnitude of magnetic field is 0.312 T and direction of the magnetic field is out of the page.

Explanation:

Given:

Velocity of proton

Magnetic force N

Charge of proton C

The magnetic force experience by proton in magnetic field is given by,

Here magnetic force experienced by proton is maximum so we take

    T

According to the left hand rule the direction of magnetic field is out of the page.

Therefore, the magnitude of magnetic field is 0.312 T and direction of the magnetic field is out of the page.

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