Explain the difference between mechanical work, energy, and power.

• Mechanical work is the energy transferred by a force, energy is the capacity to do work, and power is the rate of doing work.

• Mechanical work is the rate of doing work, energy is the energy transferred by a force, and power is the capacity to do work.

• Mechanical work is the capacity to do work, energy is the rate of doing work, and power is the energy transferred by a force.

• Mechanical work is the energy transferred by a force, energy is the rate of doing work, and power is the capacity to do work.

Outline D’Alembert's principle.

• D'Alembert's principle is a statement of the conservation of momentum.

• D'Alembert's principle is a method for solving differential equations.

• D'Alembert's principle is a technique for analyzing static equilibrium.

• D'Alembert's principle is a reformulation of Newton's second law.

What is the formula for work done when a force acts on an object?

• work done = force + distance

• work done = force × distance moved in the direction of the force

• work done = force / distance

• work done = distance - force

Fill in the blank: Mechanical energy is the sum of the KE (energy of motion) and ___ (stored energy of position) of an object.

• PE

• KE

• TE

• NE

Power is the rate at which ______ is done or the rate at which energy is transferred.

• work

• force

• momentum

• velocity

What is the standard SI unit of power?

• Joule (J)

• Watt (W)

• Newton (N)

• Volt (V)

What is D’Alembert’s principle also known as?

• Newton's first law

• Lagrange–d’Alembert principle

• Principle of inertia

• Principle of relativity

D’Alembert’s principle is explained in the context of Newton’s second law as:

• A method to convert a dynamic problem into a static problem

• A principle that states the sum of forces is zero

• A law of motion that describes the relationship between an object's motion and the forces acting on it

• A principle that explains the conservation of energy

According to D’Alembert’s principle, what is the sum of the differences between the forces exerted on a system of particles and the time derivatives of the momenta of the system when projected into virtual displacement?

• Zero

• One

• Infinity

• Negative