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So, the work was done by that hot air-balloon is 30,000 J or 30 kJ.
Hi ! In this question, I will help you. Work is the amount of force exerted to cause an object to move a certain distance from its starting point. In physics, the amount of work will be proportional to the increase in force and increase in displacement. Amount of work can be calculated by this equation :
[tex] \boxed{\sf{\bold{W = F \times s}}} [/tex]
With the following condition :
Now, the s (displacement) can be written as ∆h (altitude change) because the object move to vertical line. The formula can also be changed to:
[tex] \boxed{\sf{\bold{W = F \times \Delta h}}} [/tex]
With the following condition :
If an object has mass, then the object will also be affected by gravity. Always remember that F = m × g. So that :
[tex] \sf{W = F \times \Delta h} [/tex]
[tex] \boxed{\sf{\bold{W = m \times g \times \Delta h}}} [/tex]
With the following condition :
We know that :
What was asked :
Step by step :
[tex] \sf{W = F \times \Delta h} [/tex]
[tex] \sf{W = 100 \times 300} [/tex]
[tex] \boxed{\sf{W = 30,000 \: J = 30 \: kJ}} [/tex]
So, the work was done by that hot air-balloon is 30,000 J or 30 kJ.