Question

A 30.0 kg box is placed on a 3.00 m tall shelf. What how much work was done on the box?

Answer 1

Answer:

W = 882.9[J]

Explanation:

In order to be able to calculate the work, we must first calculate the force necessary to lift the box. Since the necessary force is equivalent to the weight of the box, we can determine the weight of the box by means of the product of mass by gravitational acceleration.

$w = m*g$

where:

w = weight [N]

m = mass = 30 [kg]

g = gravity acceleration = 9.81 [m/s²]

$w = 30*9.81\\w = 294.3 [N]$

Now, the work can be calculated multiplying the force (weight) by the distance [m]

$W = w*d\\W = 294.3*3\\W=882.9[J]$