What is the potential difference required to accelerate a deuteron of mass 3.3x10^27kg and charges 1.6x10^-19C from rest to a speed of 5.0x10^6m/s?

It is the kinetic energy 1/2 m v^2 divided by the charge.

Please, I really need help with this.

I'm getting twice what I should be getting...

Also, can you please explain why I have to use that equation; is that the equation for potential difference?

I really need help understand this, please

Never mind, I was using the values incorrectly, thank you.

To find the potential difference required to accelerate a charged particle, we can use the equation:

ΔV = (mv^2) / (2q)

Where:
ΔV is the potential difference (in volts),
m is the mass of the particle (in kilograms),
v is the final speed of the particle (in meters per second), and
q is the charge of the particle (in coulombs).

In this case, the mass of the deuteron is given as 3.3x10^(-27) kg, the final speed is 5.0x10^6 m/s, and the charge is 1.6x10^(-19) C.

Plugging these values into the equation, we get:

ΔV = ((3.3x10^(-27) kg) * (5.0x10^6 m/s)^2) / (2 * 1.6x10^(-19) C)

Now we can calculate this value using a calculator or a tool capable of handling large numbers.