# Acceleration and Kinetic Energy

• k0k
In summary, the conversation discusses the equations for force, mass, velocity, and kinetic energy. The speaker is unsure how to proceed with a given kinetic energy and is asking about the change in kinetic energy at the point of closest approach, the speed of the particle at that point, and where the energy has gone. They also question if the force between two positive charges is attractive or repulsive.
k0k

## Homework Equations

a=F/m
Ek= 1/2mv^2
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Not exactly sure how to go through with this..
I tried finding velocity with the given kinetic energy, but am unsure what to do next.

What has happened to the kinetic energy at the point of closest approach? Where is the point of closest approach?

Um, the kinetic energy is at it's maximum when it's approaching the nuclues?

Wait.. so is the kinetic energy given to me, is the Ek at the beginning I believe. Not sure how that'll help me though.

How fast is the particle moving when at its closest to the nucleus? What has been the change in KE? Where has the energy gone? Can you determine the distance of closest approach?

k0k said:
Um, the kinetic energy is at it's maximum when it's approaching the nuclues?

Are you sure about that? You have a positive charge approaching another positive charge? Is the force attractive or repulsive?

## 1. What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a measure of how quickly an object's velocity is changing, and can be calculated by dividing the change in velocity by the change in time.

## 2. How is acceleration related to kinetic energy?

Acceleration and kinetic energy are related through the equation KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity. This means that an object with a greater acceleration will have a greater change in velocity and therefore a greater change in kinetic energy.

## 3. How does the mass of an object affect its acceleration?

The mass of an object has an inverse relationship with its acceleration. This means that as the mass of an object increases, its acceleration decreases. This is because a larger mass requires more force to accelerate it at the same rate as a smaller mass.

## 4. Can an object have acceleration without having kinetic energy?

Yes, an object can have acceleration without having kinetic energy. This can occur when an object is accelerating in the opposite direction of its velocity, causing its kinetic energy to decrease. An example of this is a car decelerating as it approaches a red light.

## 5. How is acceleration measured?

Acceleration is typically measured in meters per second squared (m/s^2). This unit represents the amount of velocity gained or lost in one second due to acceleration. Acceleration can also be measured using other units, such as miles per hour per second or kilometers per hour per second.

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