answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
disa
3 months ago
11

Charge q is accelerated starting from rest up to speed v through the potential difference V. What speed will charge q have after

accelerating through potential difference 4V?
Physics
1 answer:
Ostrovityanka [3.2K]3 months ago
7 0

Answer: v = 1.19 * 10^{6} m/s

Explanation: q signifies the amount of electric charge = 1.609 * 10^{-19} c

mass of an electron = 9.10 * 10^{-31} kg

V = potential difference = 4V

v = speed of the electron

Using the work-energy theorem, the kinetic energy acquired by the electron must equal the work done in propelling it.

The kinetic energy = \frac{mv^{2} }{2}, and potential energy = qV

Thus, \frac{mv^{2} }{2} = qV

\frac{9.10 *10^{-31} * v^{2} }{2} = 1.609 * 10^{-16} * 4\\\\\\\\9.10*10^{-31} * v^{2} = 2 * 1.609 *10^{-16} * 4\\\\\\9.10 *10^{-31} * v^{2} = 1.287 *10^{-15} \\\\v^{2} = \frac{1.287 *10^{-15} }{9.10 *10^{31} } \\\\v^{2} = 1.414*10^{15} \\\\v = \sqrt{1.414*10^{15} } \\\\v = 1.19 * 10^{6} m/s

You might be interested in
A ball is dropped from the top of a cliff. By the time it reaches the ground, all the energy in its gravitational potential ener
ValentinkaMS [3465]

The ball was released from a height of 20 meters

Explanation:

The scenario is as follows:

1. A ball drops from the edge of a cliff.

2. Upon reaching the ground, the energy held in its gravitational potential energy transforms entirely into kinetic energy.

   This implies K.E = P.E.

3. The ball impacts the ground at a speed of 20 m/s.

4. The gravitational field strength noted is 10 N/kg.

<pOur goal is to ascertain the height from which the ball was dropped.

<pSince the ball was dropped from a cliff, its initial velocity is 0.<p→ K.E = \frac{1}{2}m(v^{2}-v_{0}^{2})

where v is the final velocity, v_{0} is the initial velocity, and m is the mass.

<p→ v = 20 m/s and v_{0} = 0 m/s.<p→ K.E = \frac{1}{2}m(20^{2}-0^{2})

→ K.E = \frac{1}{2}m(400)

→ K.E = 200 m joules when the ball strikes the ground.

<p→ P.E = mg h

where g is the gravitational field strength, m is mass, and h signifies height.

<p→ g = 10 N/kg.<p→ P.E = m(10)(h)

→ P.E = 10m h joules.

<p→ P.E = K.E.

→ 10m h = 200 m.

Dividing through by 10m yields:

→ h = 20 meters.

The ball was released from a height of 20 meters.

Learn more

To understand more about gravitational potential energy, visit

8 0
3 months ago
Oceanographers use submerged sonar systems, towed by a cable from a ship, to map the ocean floor. In addition to their downward
Yuliya22 [3333]
The tension exerted in the cable amounts to T = 16653.32 N. Parameters: Cross section area A = 1.3 m² Drag coefficient CD = 1.2 Velocity V = 4.3 m/s The angle formed by the cable with the horizontal is 30 degrees. Density defined as follows: The drag force FD is determined by the equation: FD = (1/2) * ρ * V² * A * CD Calculating the drag force yields 14422.2 N acting opposite to motion. Given the cable's angle of 30 degrees with horizontal, the horizontal component contributes to the drag force calculation: T * cos(30) = F_D Thus, T = 16653.32 N.
7 0
2 months ago
A group of science and engineering students embarks on a quest to make an electrostatic projectile launcher. For their first tri
Maru [3345]
The charge on the plastic cube is determined as follows.
7 0
2 months ago
The iron ball shown is being swung in a vertical circle at the end of a 0.7-m string. how slowly can the ball go through its top
Keith_Richards [3271]
<span>A centripetal force maintains an object's circular motion. When the ball is at the highest point, we can assume that the ball's speed v is such that the weight of the ball matches the required centripetal force to keep it moving in a circle. Hence, the string will not become slack. centripetal force = weight of the ball m v^2 / r = m g v^2 / r = g v^2 = g r v = sqrt { g r } v = sqrt { (9.80~m/s^2) (0.7 m) } v = 2.62 m/s Thus, the minimum speed for the ball at the top position is 2.62 m/s.</span>
6 0
3 months ago
Other questions:
  • a carpenter hits a nail with a hammer. compared to the magnitude of the force the hammer exerts on the nail, the magnitude of th
    8·2 answers
  • The parasailing system shown uses a winch to pull the rider in towards the boat, which is traveling with a constant velocity. Du
    9·1 answer
  • A 5kg bucket hangs from a ceiling on a rope. A student attaches a spring scale to the buckets handle and pulls horizontally on t
    15·1 answer
  • While walking to work in Boston shortly after sunrise you notice that the water level in the bay is exceptionally low. Based on
    12·1 answer
  • A microwave oven operates at 2.60 ghz . what is the wavelength of the radiation produced by this appliance?
    7·1 answer
  • In 2014, about how far in meters would you have to travel on the surface of the Earth from the North Magnetic Pole to the Geogra
    5·1 answer
  • When boating in shallow areas or seagrass beds, you see a mud trail in your wake where your boat has churned up the bottom. If y
    5·1 answer
  • You must determine the length of a long, thin wire that is suspended from the ceiling in the atrium of a tall building. A 2.00-c
    6·1 answer
  • The following items are connected in a circuit. in which one would you find a voltage gain?
    12·1 answer
  • The National Ignition Facility at Lawrence Livermore National Laboratory initiates nuclear fusion by converging 192 laser beams
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!