Work-Energy Theorem and Conservation of Energy

Flashcards to help review and understand concepts related to the Work-Energy Theorem and Conservation of Energy in Physics.

What is the formula for Kinetic Energy?

K = (1/2)mv^2

What are the two main forms of mechanical energy?

Kinetic Energy and Potential Energy.

What does the Work-Energy Theorem state?

The total work done on an object is equal to the change in its kinetic energy.

What is the relationship between force and energy according to the notes?

Force is an interaction that involves two objects, while energy is a quantity that can be given or taken.

What is the dot product used for in calculations of work?

The dot product is used to calculate the work done by multiplying the force vector by the displacement vector.

How is work calculated with the dot product?

W = F ⋅ Δx = |F||Δx|cos(θ).

What happens to the gravitational force's work on a satellite moving in a circular orbit?

The work done by gravitational force on the satellite is zero after it travels halfway around the earth.

What does the work-energy theorem indicate about the net work done on an object?

It indicates that the net work done is equal to the change in kinetic energy of the object.

If a car of mass m travels up a hill making an angle θ, what is the expression for the work done by the gravitational force?

Wg = -mgd cos(θ).

What is the relationship between work and energy in terms of systems of objects?

Energy can be transferred into or out of a system via work.

What is the gravitational potential energy formula for an object at height y?

Ug = mgy.

What are the units of work, and how do they relate to energy?

The units of work are joules (J), which are the same as the units of energy.

What is the significance of discussing the work done by both D'Andre and friction on the box?

It illustrates how different forces can do positive or negative work on an object.

How do you define kinetic energy in terms of work?

Kinetic energy is defined as the work done on an object to accelerate it from rest.

What key ideas must you consider when discussing work done by gravity?

The work done by gravity does not depend on the path taken but only on the initial and final heights.

What happens to the speeds of a lighter car and a heavier truck when both are pushed with the same force?

The lighter car will achieve a higher speed than the heavier truck if both are pushed with the same constant force.

In the context of energy, what does it mean that energy is conserved?

Energy can change forms but the total amount of energy in an isolated system remains constant.