Potential difference to bring a proton to rest

In summary, the conversation discusses how to calculate the potential difference required to reduce the initial speed of a proton by a factor of 2. The equations used include kinetic energy and electric potential energy, and the solution involves conservation of energy. The final answer was found through the equation KEi = EPE + 1/2 KEi.
  • #1
foreignfishes
3
0

Homework Statement


A proton has an initial speed of 3.5×10^5 . What potential difference is required to reduce the initial speed of the proton by a factor of 2?


Homework Equations


KE=.5*m*v^2
EPE=q*V


The Attempt at a Solution


I did KE=.5(1.67x10^-27)(3.5x10^5/2)^2 and then divided that by the charge of a proton to get V, and I got 160 V which is wrong. Then I tried squaring the velocity first, then dividing it by 2 and I got 320 V, which is also not right. I'm stuck.
 
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  • #2
this is just conservation of energy

electric potential starts at zero plus kinetic energy starts at some KEi

this must be equal to some electric potential energy plus half of KEi
 
  • #3
SHISHKABOB said:
this is just conservation of energy

electric potential starts at zero plus kinetic energy starts at some KEi

this must be equal to some electric potential energy plus half of KEi

Thank you so much! I didn't even think of that. I got the answer.
 

FAQ: Potential difference to bring a proton to rest

What is potential difference?

Potential difference is the difference in electrical potential between two points in an electric field. It can also be referred to as voltage.

How is potential difference related to bringing a proton to rest?

Potential difference is directly related to the amount of work required to bring a proton to rest from a certain point in an electric field. The higher the potential difference, the more work is required to bring the proton to rest.

How is potential difference measured?

Potential difference is typically measured using a voltmeter, which measures the difference in electrical potential between two points in an electric circuit. It is usually measured in volts (V).

What is the unit of potential difference?

The unit of potential difference is volt (V). It is a derived unit in the International System of Units (SI) and is equivalent to one joule per coulomb.

How is potential difference calculated?

Potential difference can be calculated by dividing the work required to move a proton from one point to another by the charge of the proton. This can be represented by the equation V = W/q, where V is potential difference, W is work, and q is the charge of the proton.

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