Skip to main content
Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 31a

Two positively charged particles are first brought close together and then released. Once released, the repulsion between particles causes them to move away from each other. a. This is an example of potential energy being converted into what form of energy?

Verified step by step guidance
1
Identify the type of potential energy involved: Since the particles are charged and initially stationary, the potential energy here is electrical potential energy.
Understand the effect of releasing the particles: When the particles are released, the electrical potential energy stored due to their positions and charges begins to convert into another form of energy as they move apart.
Recognize the nature of the forces and motion: The repulsive force between the similarly charged particles causes them to accelerate away from each other, indicating a change in their kinetic states.
Determine the form of energy resulting from the motion: As the particles move away from each other, their velocities increase, indicating that their kinetic energy is increasing.
Conclude the conversion of energy: The initial electrical potential energy is being converted into kinetic energy as the particles move away from each other.

Verified Solution

Video duration:
1m
This video solution was recommended by our tutors as helpful for the problem above.
Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Potential Energy

Potential energy is the stored energy in an object due to its position or configuration. In the context of charged particles, when they are brought close together, they possess electric potential energy due to the electrostatic forces acting between them. This energy is dependent on the distance between the charges and their magnitudes.
Recommended video:
Guided course
00:34
Kinetic & Potential Energy

Kinetic Energy

Kinetic energy is the energy of an object in motion. When the two positively charged particles are released, the potential energy that was stored due to their proximity is converted into kinetic energy as they repel each other and accelerate away. The faster the particles move, the greater their kinetic energy becomes.
Recommended video:
Guided course
00:34
Kinetic & Potential Energy

Conservation of Energy

The conservation of energy principle states that energy cannot be created or destroyed, only transformed from one form to another. In this scenario, the potential energy of the charged particles is transformed into kinetic energy as they move apart, illustrating this fundamental principle of physics.
Recommended video:
Guided course
01:48
Law of Conservation of Mass
Related Practice
Textbook Question

A soccer ball is dropped out of a window on the second floor of a dormitory to the ground below. Which of the following statements is or are true?

i. The kinetic energy of the ball is greatest at the time it is dropped out the window.

ii. As the ball falls, potential energy is converted into kinetic energy.

iii. The potential energy of the ball is due to the force of gravity acting on it.

Textbook Question

(a) Calculate the kinetic energy (in joules) of a 1200-kg automobile moving at 18 m/s.

2
views
Open Question

The mass of a helium atom is roughly four times that of a hydrogen atom. The mass of an oxygen atom is roughly 16 times that of a hydrogen atom.

a. For each of the following pairs, choose the one that has the greater kinetic energy: (i) a H atom moving at 1000 m/s or a He atom moving at 400 m/s, (ii) a H atom moving at 1000 m/s or an O atom moving at 400 m/s, (iii) a He atom moving at 1000 m/s or an O atom moving at 400 m/s.

b. A He atom is moving at 800 m/s. What is the speed of an O atom that has the same kinetic energy as the He atom?

Textbook Question

Two positively charged particles are first brought close together and then released. Once released, the repulsion between particles causes them to move away from each other. b. Does the electrostatic potential energy of the two particles increase or decrease as the distance between them is increased?

2
views
Textbook Question

For each of the following processes, does the potential energy of the object(s) increase or decrease? (b) Water is pumped from ground level to the reservoir of a water tower 30 m above the ground.

454
views
Textbook Question

Use appropriate metric prefixes to write the following measurements without use of exponents: c. 6.48×10-7 L

2
views