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A proton with an initial speed of 800,000 m/s is brought to rest by an electric field. a. Did the proton move into a region of higher potential or lower potential? b. What was the potential difference that stopped the proton? c. What was the initial kinetic energy of the proton, in electron volts?

Two parallel plates have equal and opposite charges. When the space between the plates is evacuated, the electric field is $E=3.20\times {10}^5\mathrm{V}/\mathrm{m}$. When the space is filled with dielectric, the electric field is $E=2.50\times {10}^5\mathrm{V}/\mathrm{m}$. (a) What is the charge density on each surface of the dielectric? (b) What is the dielectric constant?

At a certain location, wind is blowing steadily at 10 m/s. Determine the mechanical energy of air per unit mass and the power generation potential of a wind turbine with 60-m-diameter blades at that location. Take the air density to be ${\displaystyle 1.25 \frac{kg}{m^3}}$.

a. When the displacement of a mass on a spring is ${\displaystyle \frac{1}{2}}$ A, what fraction of the mechanical energy is kinetic energy and what fraction is potential energy? b. At what displacement, as a fraction of A, is the energy half kinetic and half potential?

A 2.0-kg projectile is fired with initial velocity components ${\displaystyle v_{0x}=30}$ m/s and ${\displaystyle v_{0y}=40}$ m/s from a point on the earth's surface. Neglect any effects due to air resistance. What is the kinetic energy of the projectile when it reaches the highest point in its trajectory? How much work was done in firing the projectile?

A box is sliding with a speed of 4.50 m/s on a horizontal surface when, at point P, it encounters a rough section. On the rough section, the coefficient of friction is not constant but starts at .100 at P and increases linerly with distance past P, reaching a value of .600 at 12.5 m past point P. (a) Use the work energy theorem to find how far this box slides before stopping. (b) What is the coefficient of friction at the stopping point? (c) How far would the box have slid iff the friciton coefficient didn't increase, but instead had the constant value of .1?

Find the tension in each cord in Figure if the weight ofthe suspended object is w. 
a)  
b)

Four point charges form a square with sides of length d, as shown in the figure. In the questions that follow, use the constant k in place of ${\displaystyle \frac{1}{4\pi {ϵ}_0}}$.

Part A
What is the electric potential ${\displaystyle V_{\to t}}$ at the center of the square?
Make the usual assumption that the potential tends to zero far away from a charge.
Express your answer in terms of q ,d, and appropriate constants.
${\displaystyle V_{\to t}=}$ 
Part B
What is the contribution ${\displaystyle U_{2q}}$ to the electric potential energy of the system, due to interactions involving the charge 2q ?
Express your answer in terms of q, d, and appropriate constants.
${\displaystyle U_{2q}=}$
Part C
What is the total electric potential energy ${\displaystyle U_{\to t}}$ of this system of charges? Express your answer in terms of q, d, and appropriate constants.
${\displaystyle U_{\to t}=}$
, plz i want just the final answers , thanks

Two point charges ${\displaystyle q_1=+2.40}$ nC and ${\displaystyle q_2=-6.50}$ nC are 0.100 m apart. Point A is midway between them and point B is 0.080 m from ${\displaystyle q1}$ and 0.060 m from ${\displaystyle q_2}$. Take the electric potential to be zero at infinity.

(a) Find the potential at point A.
(b) Find the potential at point B.
(c) Find the work done by the electric field on a charge of 2.50 nC that travels from point B to point A.

A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 50 cm. What is the spring constant of the spring?

The spring in the figure (a) is compressed by length delta x . It launches the block across a frictionless surface with speed v0. The two springs in the figure (b) are identical to the spring of the figure (a). They are compressed by the same length delta x and used to launch the same block. What is the block's speed now?

The end of the cutting cord on a gas-powered weed cutter is0.15 m in length. If the motor rotates at the rate of 20rev/s, what is the tangential sped of the end of the cord? 
a) 628 m/s 
b) 25 m/s 
c) 19 m/s 
d) 63 m/s 
e) 75 m/s

A point charge has a charge of 2.50x10-11C. Atwhat distance from the point charge is the electric potential a)90.0V? b) 30.0V? Take the potential to be zero at an infinitedistance from the charge.

A sled with rider having a combined mass of 120 kg travels over the perfectly smooth icy hill shown in the accompanying figure. How far does the sled land from the foot of the cliff (in m)?

A 2.0- kg piece of wood slides on the surface. The curved sides are perfectly smooth, but the rough horixontal bottom is 30 m long and has a kinetic friction coefficient of 0.20 with the wood. The iece of wood starts fromrest 4.0 m above the rough bottom (a) Where will this wood eventually come to rest? (b) For the motion from the initial release until the piece of wood comes to rest, what is the total amount of work done by friction?

A block of mass m slides on a horizontal frictionless table with an initial speed v. It then compresses a spring of force constant kand is brought to rest. How much is the spring compressed from its natural length?

If a negative charge is initially at rest in an electric field, will it move toward a region of higher potential or lower potential? What about a positive charge? How does the potential energy of the charge change in each instance?