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#