The correct answer is C: the speedboat's direction of motion will change. This is In fact, the new force of 500 N from the side of the boat is not balanced by any forces from the other side, and therefore this force will cause an acceleration in the direction of the force itself, which is not the same direction of motion. Therefore, the speedboat will acquire a movement on the lateral direction as well.
Answer:
The magnitude of the Force is
and the direction is South
Explanation:
From the question we are told that
The magnetic field point due west and since East point toward the positive x -axis
then this magnetic field would be mathematically represented as

Now from the question we are told that the kinetic energy is

Now this kinetic energy can be mathematically represented as

Where m is the mass of proton which has a general value of

Now making the subject of the formula

Substituting values we have


Now from the question we are told that proton is moving upward which is in the positive z direction so the velocity of the proton would be in the positive
So the velocity would be

Now the magnetic Force can be mathematically represented as

Where q is the charge on the proton which has a general value of 
Now substituting the value


Now according to Fleming's left hand rule the direction of the magnetic force is south toward the negative Y - direction 
So the force can be denoted as

It is FALSE.
The absolute value of both numbers is 7, therefore they are equal!
Hope this helps!
Money, or dictatiorship, trading, something that involes with money
The electron is accelerated through a potential difference of

, so the kinetic energy gained by the electron is equal to its variation of electrical potential energy:

where
m is the electron mass
v is the final speed of the electron
e is the electron charge

is the potential difference
Re-arranging this equation, we can find the speed of the electron before entering the magnetic field:

Now the electron enters the magnetic field. The Lorentz force provides the centripetal force that keeps the electron in circular orbit:

where B is the intensity of the magnetic field and r is the orbital radius. Since the radius is r=25 cm=0.25 m, we can re-arrange this equation to find B: