Physics, 08.07.2019 21:30, Metlife

An arrangement of source charges produces the electric potential v=5000x2v=5000x2 along the x-axis, where v is in volts and x is in meters. what is the maximum speed of a 1.0 g, 10 nc charged particle that moves in this potential with turning points at ± 8.0 cm?

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answered: aliceotter2007

The maximum speed of the particle in arrangement of source charges produces 32 volts electric potential is 0.025 meter per second.

What is electric potential energy?

Electric potential energy is the energy which is required to move a unit charge from a point to another point in the electric field.

It can be given as,

U=qV

Here, (q) is the charge and (V) is the electric potential difference.

Given infroamtion-

The electric potential producers by the arrangement of source charges is given by,

V=5000x^2

The mass of the particle is 1.0 gram.

The charge of the particles 10 nC.

As, the electric potential producers by the arrangement of source charges is given by,

V=5000x^2

At the x equal to 8 cm or 0.08 m, the equation become,

$V=5000(0.08)^2\\V=32\rm V$

Thus the potential difference at the is 32 volts.

The electric potential energy of the particle is,

$U=10\times10^{-9}\times32\\U=3.2\times10^{-7}\rm j$

Now the electric potential energy is equal to the kinetic energy of the particle. Thus,

$\dfrac{1}{2}\times0.001\times v^2=3.2\times10^{-7}\\v=0.025\rm m/s$

Thus the maximum speed of particle is 0.025 meter per second.

Learn more about the electric potential energy here;

link

answered: debbys1802

v = 0.025 m/s

Explanation:

Given that the voltage is

V = 5000 x^2

now at x = 0

V_1 = 0 Volts

also we have at x = 8 cm

V_2 = 5000(0.08)^2 = 32 Volts

now change in potential energy of the charge is given as

$\Delta U = q\Delta V$

$\Delta U = (10 \times 10^{-9})(32 - 0)$

now by mechanical energy conservation law

$\frac{1}{2}mv^2 - 0 = 3.2 \times 10^{-7}$

$\frac{1}{2}(1 \times 10^{-3})v^2 = 3.2 \times 10^{-7}$

v = 0.025 m/s

answered: Guest

Isuck at math i am no sorry

answered: Guest

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol

b. a hockey puck sliding across the ice

c. a compressed spring

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice is the correct option.

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An arrangement of source charges produces the electric potential v=5000x2v=5000x2 along the x-axis,...