Question

The mass of a large car is $1000kg$. How much force would be required to accelerate the car at a rate of $3m{s^{ - 2}}?$

Answer 1

Hint:In the above question, we are given a large car of certain mass and with acceleration. We have to find the force required to accelerate the car at the given rate. Use Newton's second law, which states that resultant force is equal to the product of mass and acceleration of the body.

Formula used:
Resultant force = mass $ \times $ acceleration
$F = ma$
where $F$ is the resultant force, $m$ is the mass of the body and $a$ be the acceleration of the body.

Complete step by step answer:
According to the question, mass of the car $\left( m \right)$=$1000kg$ and the acceleration $\left( a \right) = 3m{s^{ - 2}}$,Force=?
Solving the above question by using Newton’s second law:
Resultant force = mass $ \times $ acceleration
Mathematically, $F = ma$ where $F$ is the resultant force, $m$ is the mass of the body and $a$ be the acceleration of the body.
Substituting the given values,
$
F = ma \\
\Rightarrow F = 1000 \times 3 \\
\therefore F = 3000N $
Hence, the force needed to accelerate the large car is $3000N$.

Note:The units should be written carefully. Force is measured in newtons (N), mass of the body should be in kilograms (kg) and acceleration to be in meter per second square $\left( {m{s^{ - 2}}} \right)$ If the question don’t contains are quantities in standard units then firstly, convert the quantities to standard and then apply the formula.