# Work Calculator

Work is defined as the energy transferred to or from an object through the application of force along with a displacement for a certain period of time. The work calculator developed by us helps to determine the work done by the object under the constant force at a particular distance in a given period of time. Simply give the input fields like force, displacement in the allotted fields and click on the calculate button to find the work done by an object easily.

### What is meant by Work

In our every day to day life, work is any kind of effort, job, or action that we perform for a particular period of time. Work in physics, however, has a very strict and clear definition and is quite different from real life. As it happens normally, the work definition in physics is almost the same as the work equation which is based on the force and the distance acting upon it.

In physics calculations, to calculate work we need an object to move as a result of a force applied to it. The work equation (or the work definition) is **W = F * d**

- Where, W is defined as the work done;
- F is defined as the force applied to the object; and
- d is defined as the distance about which you moved the object.

The force can be decomposed like this: F = m * a where 'm' is the mass and 'a' is the acceleration.

### Work from Velocity Change

Let us consider an object that changes its speed from an initial velocity (v0) to a final velocity (v1) over a particular period of time (t). We could hence calculate the force using the acceleration F = m * a = m * (v_{1} - v_{0}) / t then we obtain the distance traveled that can be estimated as d = t * (v_{0} + v_{1}) / 2

substituting and combining everything into the work formula, we get the formula given below **W = F * d = [m * (v _{1} - v_{0}) / t] * [t * (v_{0} + v_{1}) / 2]**

W = (m/2) * (v_{1}^{2} - v_{0}^{2})

- Where v = final velocity
- u = initial velocity
- a = acceleration and
- s = displacement

### How can I calculate Work? | Work Equation

If the user needs to understand that how is work calculated in physics by using fundamental formulas, here is a small guide on how to do it.

- In physics, work is based on the force acting on the object, the angle the object makes with the normal, and the distance covered by the object from the relative initial point.
- All you need to do is take the force, F, and multiply it by the distance the object moved in the direction of motion.
- The result hence performed will give work as the output.

The advanced formula for calculating the same work with the help of the mass of the object, the acceleration acting on it and the distance covered by it is **W = m * a * d**

### How to use the Work Calculator?

The work calculator developed by us is very simple to use and check the below process to know the functionality of it

- In its basic form, the user simply needs to input the force and the distance from your question
- it will automatically calculate the result accurately and in a very short span of seconds, when you once you click on it to proceed in the calculator.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### Examples on finding Work

**Example 1:**

Calculate the work done by a force of 80 N in lifting a load of 2kg to a height of 10m (g = 10ms-2)

**Solution:**

Given that:

Force mg = 80 N ; height = 10 m

Work done to lift a load W

W = F.S (or) mgh

= 80x10

W = 800 J

**Example 2:**

A ball with a velocity of 5 m s-1 impinges at an angle of 60˚ with the vertical on a smooth horizontal plane without any force acting on it. If the coefficient of restitution is 0.5, find the velocity and direction after the impact.

**Solution:**

The impulse on the ball acts perpendicular to the smooth plane.

(i) The component of velocity of ball parallel to the surface at which the force acts.

For the component of velocity of ball perpendicular to the surface, apply the law of restitution.

The component of velocity parallel to the surface will be changed by the components of the force.

v cos α = u cos 60°

v cos α = 5 × 1/2 = 5/2 ….(1)

According to the law of restitution

v sin α = e, u sin 60°

Solving the above equations, we get:

v = 3.3 ms-1

### FAQs on Work Calculator

**1. What is work in physics?**

Work is defined as the energy transferred to or from an object through the application of force along with a displacement.

**2. What is the SI unit of work?**

The SI unit of work is Joules.

**3. What is the work done formula?**

Work done formula is defined as, W = F * d

**4. What do you mean by power in physics?**

Power means work (J) per unit time (s). The SI unit for power is the watt (W)

**5. Is work a dimensionless quantity?**

No, work is not a dimensionless quantity. Its dimensions are [M^{1} L^{2} T^{-2}].