Question

1. Using the values of acceleration calculate Usain’s greatest and least net forces.Average Acceleration(m/s/s)02.84.861.120.60.510.180.19-0.18-0.180

Answer 1

Given:

mass of the usain is

$m=94\text{ kg}$

Acceleration is given as

$a=0,\text{ 2.8, 4.86, 1.12, 0.6, 0.51, 0.18 0.19, -0.18, 0}$

Required: calculate the greatest and least net forces.

Explanation:

we know the force is given as

$F=ma$

where m is the mass and a is the acceleration

to calculate the greatest force

we need find the greatest acceleration in the given table that is

$a=4.86\text{ m/s}^2$

plugging all the values in the above relation we get:

$\begin{gathered} F=ma \\ F=94\text{ kg}\times4.86\text{ m/s}^2 \\ F=456.84\text{ N} \end{gathered}$

now, to calculate the least force we have the find the least acceleration

that is

$a=0\text{ m/s}^2$

plugging all the values in the above relation, we get:

$\begin{gathered} F=ma \\ F=94\text{ kg}^\times0 \\ F=0 \end{gathered}$

so least force is zero.

we can se another least force when the acceleration is negative that is

$a=-0.18\text{ m/s}^2$

then force is

$\begin{gathered} F=ma \\ F=94\text{ kg}\times-0.18\text{ m/s}^2 \\ F=-16.92\text{ N} \end{gathered}$

Thus. the greatest force is

$\begin{equation*} 456.84\text{ N} \end{equation*}$

and least force is

$-16.92\text{ N}$