A box with a mass of 5 kg is lifted (at constant velocity) to a height of 3 m to place it on the shelf of a closet. How much work was required to lift the box to this position?
w=mgh
w=5*9.8*3
w= 147j
To calculate the work required to lift the box to a certain height, we can use the formula:
Work = Force × Distance
In this case, the force required to lift the box is equal to its weight, which can be calculated using the formula:
Weight = mass × gravity
where gravity is approximately 9.8 m/s^2.
Given that the mass of the box is 5 kg and the height it is lifted to is 3 m, we can now calculate the work required.
Step 1: Calculate weight:
Weight = mass × gravity
Weight = 5 kg × 9.8 m/s^2
Weight = 49 N
Step 2: Calculate work:
Work = Force × Distance
Work = Weight × Distance
Work = 49 N × 3 m
Work = 147 J (Joules)
Therefore, the work required to lift the box to a height of 3 m is 147 Joules.