Question

You were tasked with pushing a large box of textbooks across the commons area at Elevation. The box of textbooks have a mass of 23kgs and the total displacement is 75 meters. You manage to complete this task with an acceleration of 0.75 m/s2. How much work did you do?

Answer 1

Given data:

* The mass of the textbooks is m = 23 kg

* The displacement of the textbooks is d = 75 meters.

* The acceleration of the motion is,

$a=0.75ms^{-2}$

Solution:

According to Newton's second law, the force acting on the textbooks is,

$F=ma$

Substituting the known values,

$\begin{gathered} F=23\times0.75 \\ F=17.25\text{ N} \end{gathered}$

The work done on the textbooks is,

$\begin{gathered} W=Fd \\ W=17.25\times75 \\ W=1293.75\text{ J} \\ W=1.29375\times10^3\text{ J} \\ W\approx1.3\text{ kJ} \end{gathered}$

Thus, the work done on the textbooks is approximately 1.3 kJ.