Question

What force is needed to a accelerate a$60-ki\log ram$wagon from rest to $5.0meterspersecond$ in $2.0seconds$

• A. $100\mathrm{N}$
• B. $120\mathrm{N}$
• C. $150\mathrm{N}$
• D. $130\mathrm{N}$

Answer 1

The correct option is C

$150\mathrm{N}$

Step 1: Given data.

Given, mass, $m=60\mathrm{kg}$
Initial velocity, $u=0$
Final velocity, $v=5\mathrm{m}/\mathrm{s}$
Time, $t=2s$

Step 2: Calculations.
Using the formula,
$v=u+at$
Where a= acceleration
Or, $a=\frac{v-u}{t}$
Putting the values, we get
$a=\frac{5-0}{2}=\frac{5}{2}{\mathrm{ms}}^{-2}$
Using the formula,
$F=m\times a$
Putting the values, we get
$F=60\times \frac{5}{2}=150\mathrm{N}\text{.}$
Thus, The required force is $150\mathrm{N}$.