A 0.40-kg cart with charge 4.0 x 10-5 C starts at rest on a horizontal frictionless surface 0.50 m from a fixed object with charge 2.0 x 10-4 C. When the cart is released, it moves away from the fixed object. (a) How fast is the cart moving when very far (infinity) from the fixed charge

Answers

Answer 1
Answer:

Answer:

26.82m/s

Explanation:

Given

Mass = m= 0.4kg

Initial Velocity = u = 0

Charge = 4.0E-5C

Distance= d = 0.5m

Object Charge = 2E-4C

First, we'll calculate the initial energy (E)

E = Potential Energy

PE = kQq / d

Where k = coulomb constant = 8.99E9Nm²/C²

Energy is then calculated by;

PE = 8.99E9 * 4E-5 * 2E-4 / 0.5

PE = 143.84J

Energy = Potential Energy = Kinetic Energy

K.E = ½mv² = 143.84J

½mv² = ½ * 0.40 * v² = 143.85

0.2v² = 143.85

v² = 143.85/0.2

v² = 719.25

v = √719.25

v = 26.81883666380777

v = 26.82m/s

Hence, the object is 26.82m/s fast when the cart moving is very far (infinity) from the fixed charge


Related Questions

Who experiences MORE force in her glove during a softball game, the catcher or the outfielder? Defend your answer. Use FΔT=mΔv in your explanation.
Advantages and disadvantages of nuclear energy
During a _____ change a system absorbs energy from its surroundings
Which statement best describes the difference between moving and fixed position pulleys-Moving pulleys are attached to the object and are stationary. Fixed-position pulleys are connected to a fixed point and do not move -moving pulleys are attached to the object and move with the object. Fixed-position pulleys are connected to a fixed point and do not move -moving pulleys are easier to use than fixed position pulleys -moving pulleys have more force than fixed-position pulleys
To produce a second overtone when strumming a guitar, you will want to _____________.

Mathematically boyle's law is​

Answers

Explanation:

Boyles law is the pressure of a fixed mass of gas which is inversely proportional to its volume provided that the temperature is kept constant.

Which of the following is NOT an early sign of heat illness?Dizziness
Headache
Flushed face
Excessive sweating
Struggling to perform

Answers

Struggling to perform is not an early sign of heat illnesses.

There are times when the body system will be unable to dissipate heat effectively. When this happens, heat illness bounds to occur.

Also, heat illnesses tend to occur when the balance of salt and water in the body becomes unbalanced, the temperature rises unexpectedly or the sweet couldn't keep an individual cool.

Some of the early signs includes Headache, dizziness, Muscle cramps, weak pulse among other related symptoms.

Based on the above explanation, we can see that struggling to perform is not an early sign of heat illnesses.

Learn more at: brainly.com/question/19609187

The answer is struggling to perform

What is the term used to describe the energy needed to get a reaction started

Answers

Activation Energy is the amount of energy needed to get a reaction started.

What can be found in every skeletal muscle?

Answers

You can find muscle fibers, nerves, connective tissue, and blood vessels in every skeletal system. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer:

D.  tendons, nerves, blood vessels, and bones

Explanation:

Which describes the relationship between potential and kinetic energy of a ball thrown up in the air as it falls back to the ground? A.
Gravitational potential energy increases; kinetic energy increases.


B.
Kinetic energy equals gravitational potential energy.


C.
Kinetic energy increases; gravitational potential energy decreases.


D.
The mass of the ball is required to answer this.

Answers

The ball originally contains potential energy and no kinetic energy, therefore we can use the theory of conservation of mechanical energy. Its total energy, which is made up of the KE and PE, is constant and equal to its starting PE as it falls. Thus, option C is correct.

What potential and kinetic energy of a ball thrown up?

As the ball falls toward the ground, its gravitational potential energy is transformed into kinetic energy. The kinetic energy of the ball will increase as it accelerates until it collides with something. The ball's collision generates kinetic energy, which is transformed into several forms of energy.

As it rises, the ball's speed slows until the very apex of its motion, where it briefly pauses. At the peak, it accelerates at -9.8 m/s2.

Therefore, A ball is thrown up into the air, yet although though it rises into the air, the direction, and velocity of the ball are actually downward.

Learn more about kinetic energy here:

brainly.com/question/26472013

#SPJ2

The answer is c, because ball is falling so its gravitationl potential energy decreases, but it kinetic energy increases. Energy is always conserved.

How did the lab activities help you answer the lesson question: How do environmental changes affect both living and nonliving things in a watershed? What conclusions can you make based on your observations?

Answers

Answer:

In the lab activity, I used a virtual watershed to demonstrate how pollutants enter and flow through the watershed. I constructed food chains to show how biotic factors are related. I also predicted and modeled how human activity affected the biotic factors in an ecosystem. Based on my observations, I can conclude that biotic and abiotic factors are closely linked and that human activity that changes the environment, like pollution, can affect all the other parts of an ecosystem in a negative way.

Answer:

In the lab activity, I used a virtual watershed to demonstrate how pollutants enter and flow through the watershed. I constructed food chains to show how biotic factors are related. I also predicted and modeled how human activity affected the biotic factors in an ecosystem. Based on my observations, I can conclude that biotic and abiotic factors are closely linked and that human activity that changes the environment, like pollution, can affect all the other parts of an ecosystem in a negative way.

Explanation: