Question

Calculate the force required to accelerate a car from rest to a velocity of $30m{s}^{-1}$ in $10seconds$. The mass of the car is $1500kg$.

• A. $4000N$
• B. $3000N$
• C. $4500N$
• D. $3500N$

Answer 1

The correct option is C $4500N$

Here, mass m = $1500kg$
Initial velocity, u = 0, final velocity, v = $30m{s}^{-1}$, time taken, t = $10s$.
Now, putting these values in the first equation of motion,$v=u+at$, we get
$30=0+a\times t$,
$\Rightarrow$ $10a=30$
$\Rightarrow$ $a=3m{s}^{-2}$
Now, putting $m=1500kg$ and a = $3m{s}^{-2}$ in equation, $F=m\times a$, we get
$F=1500\times 3$ = $4500N$.
Thus, the force required is $4500N$.