# How much work does it take to raise a #6 kg # weight #72 m #?

##### 2 Answers

#### Explanation:

The formula to know how much work is done is:-

Work

Here in the mentioned problem, the object weighing

Here,

and

We will take acceleration due to gravity

The formula for Force is:-

Force

Force =

Force =

In this problem, we see that the force is also applied in the upward direction and the displacement is also in upward direction.

This implies, that the angle between force and displacement is

Plugging in the values of displacement, force and

Work

Work

Work

#### Explanation:

We use the work equation, which states that,

#F# is the force in newtons

#d# is the distance in meters

Here, the force is the weight of the box.

Weight is defined by the equation,

#m# is the mass of the object in kilograms

#g# is the gravitational acceleration, which is around#9.8 \ "m/s"^2# .

So here, the weight is,

Therefore, the work is,