A forklift raises a box 1.0 m doing 6.0 kJ of work on it. What is the mass of the box?
Question
A forklift raises a box 1.0 m doing 6.0 kJ of work on it. What is the mass of the box?
Solution
To solve this problem, we need to use the formula for work done, which is:
Work = Force x Distance
In this case, the force is the weight of the box, which is mass x gravity. So we can rewrite the formula as:
Work = Mass x Gravity x Distance
We know the work done (6000 J, because 1 kJ = 1000 J), the distance (1.0 m), and the acceleration due to gravity (approximately 9.8 m/s²). We can rearrange the formula to solve for mass:
Mass = Work / (Gravity x Distance)
Substituting the known values:
Mass = 6000 J / (9.8 m/s² x 1.0 m)
Mass = 612.24 kg
So, the mass of the box is approximately 612.24 kg.
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