# How much work is being done?

• bcalkins
In summary, work can be calculated by multiplying force and distance, and is measured in joules. It is a scalar quantity and is closely related to energy. Work can be negative when the force and displacement are in opposite directions.

#### bcalkins

A farmhand pushes a 26-kg bale of hay 3.9 meters across the floor of a barn. If she exerts a horizontal force of 88N on the hay, how much work has she done?

W=88N x 3.9m
= 343.2 Joules

My question: Is this correct or do I have to do something with the mass of 26-kg?
Thank you!

Perfectly correct. The mass is irrelevant. (But maybe the question has another part.)

## 1. How do you calculate the amount of work being done?

The amount of work being done can be calculated by multiplying the force applied to an object by the distance it moves in the direction of the force. This is represented by the equation W = Fd, where W is work, F is force, and d is distance.

## 2. What is the unit of measurement for work?

The unit of measurement for work is joules (J). Other common units include foot-pounds (ft-lb) and kilogram-meters squared per second squared (kg*m^2/s^2).

## 3. Is work a scalar or vector quantity?

Work is a scalar quantity, meaning it has magnitude but no direction. This is because it is the product of two scalar quantities, force and distance.

## 4. How is work related to energy?

Work and energy are closely related concepts. Work is the transfer of energy from one object to another, or the conversion of one form of energy into another. The work done on an object is equal to the change in its energy.

## 5. Can work be negative?

Yes, work can be negative. This occurs when the force applied to an object is in the opposite direction of its displacement. For example, if a person pushes a box uphill and the box rolls back down, the work done by the person is negative because their force was in the opposite direction of the box's displacement.

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