Question

A force of 92.0N is exerted straight up on a small troll that weighs 73.5N. Find the acceleration of the troll.

Answer 1

Answer: $12.26 m/s^{2}$

Explanation:

We have the following data:

$F=92 N$ is the force exerted on the troll

$W=73.5 N$ is the weight of the troll

Now, the weight is expressed as:

$W=m.g$ (1)

Where $m$ is the mass of the troll and $g=9.8 m/s^{2}$ is the acceleration due gravity

Isolating $m$:

$m=\frac{W}{g}$ (2)

$m=\frac{73.5 N}{9.8 m/s^{2}}$ (3)

$m=7.5 kg$ (4) This is the mass of th troll

On the other hand, the exerted force is given by:

$F=m.a$ (5)

Where $a$ is the acceleration:

$a=\frac{F}{m}$ (6)

$a=\frac{92 N}{7.5 kg}$ (7)

Finally:

$a=12.26 m/s^{2}$ This is the acceleration of the troll