Final Answer:
This equation gives us the final speed of the cart when the change in electric potential energy is fully transformed into kinetic energy
Step-by-step explanation:
To determine the final speed of the cart when the change in electric potential energy is fully transformed into kinetic energy, we can use the conservation of energy principle. The initial electric potential energy is transformed into kinetic energy, so we can set the initial electric potential energy equal to the final kinetic energy:
Initial electric potential energy = Final kinetic energy
The initial electric potential energy can be calculated using the formula:
Initial electric potential energy = qV
Where q is the charge and V is the electric potential.
The final kinetic energy can be calculated using the formula:
Final kinetic energy = (1/2)mv^2
Where m is the mass of the cart and v is the final speed.
Setting the initial electric potential energy equal to the final kinetic energy, we have:
qV = (1/2)mv^2
Solving for v, we get:
v = sqrt(2qV/m)
This equation gives us the final speed of the cart when the change in electric potential energy is fully transformed into kinetic energy.