# How mush work is done in lifting a 40 kilogram weight to a height of 1.5 meters?

##### 1 Answer

Aug 21, 2014

The answer is

Always start with the definition:

#W=int_a^b F(x)dx#

Sometimes, the simple problems are the hardest because it looks too easy so we tend to add unnecessary things. Since this is a vertical lift, we are dealing with gravity which is 9.8

#F(x)=9.8m/(s^2)*40kg=392N#

Remember that work is force times distance. We have force which is just a constant function. And we have distance which is

#a=0#

#b=1.5#

#W=int_0^(1.5) 392 dx#

#=392x|_0^(1.5)#

#=588J#