Sage-Tips

Is work done a vector?

Work is not a vector quantity, but a scalar quantity.

What is the formula of force in vector form?

Force, like displacement, velocity, and acceleration, is a vector quantity, which is why Newton’s Second Law is written as sigmaF = ma. Put into words, it says that the vector sum of the forces acting on an object is equal to its mass (a scalar) multiplied by its acceleration (a vector).

Why is work done vector?

For a work to be done there must be a force exerted and there should be displacement in the direction of the force. Both force and displacement are vector quantities. That means force and displacement have both magnitude and direction.

How do you solve work done problems?

Important Time and Work Formula

1. Work Done = Time Taken × Rate of Work.
2. Rate of Work = 1 / Time Taken.
3. Time Taken = 1 / Rate of Work.
4. If a piece of work is done in x number of days, then the work done in one day = 1/x.
5. Total Wok Done = Number of Days × Efficiency.
6. Efficiency and Time are inversely proportional to each other.

How do you solve work done problems in physics?

Apply the work equation to determine the amount of work done by the applied force in each of the three situations described below.

1. Diagram A Answer: W = (100 N) * (5 m)* cos(0 degrees) = 500 J.
2. Diagram B Answer: W = (100 N) * (5 m) * cos(30 degrees) = 433 J.
3. Diagram C Answer: W = (147 N) * (5 m) * cos(0 degrees) = 735 J.

Is the work done scalar or vector?

Also, we know that work is a dot product of vectors force and the displacement. Since, the dot product is a scalar quantity. So, work is a scalar quantity, it has only magnitude not direction.

How does work done is a scalar quantity?

Work is a scalar quantity because it is the dot product of two vectors (Force and displacement). Dot product of two vectors becomes scalar quantity. So, work done has only magnitude but not direction. Work done may be positive, negative or zero.

What is work done measured in?

One joule
One joule is defined as the amount of work done when a force of one newton is exerted through a distance of one meter. In the English system of units, where force is measured in pounds, work is measured in a unit called the foot-pound (usually abbreviated ft-lb).