Question

A 30-N box is pulled up a ramp of 6.0 m inclined at 37° to a vertical height of 3.6 m.What is the work done by the weight (gravitational force) of the box?1) 11 )2) 110 )3) 180)4) 1.8 x 103 J

Answer 1

Schematic diagram:

The work done by the weight of the box is given as,

$W=(mg)h$

Here, m is the mass of the box, g is the acceleration due to gravity, and h is the height.

Note: mg is the weight of the box (mg=30 N; given).

Substituting all known values,

$\begin{gathered} W=30\text{ N}\times3.6\text{ m} \\ =108\text{ J} \\ \cong110\text{ J} \end{gathered}$

Therefore, the work done by the weight (gravitational force) of the box is about 110 J. Hence, option (2) is the best choice.