Question

When a force of 1 Newton acts on a mass of 1 kg that is able to move freely, the object moves with a/ an
A. Speed of $1 m{s}^{-1}$
B. Acceleration of $1 m{s}^{-2}$
C. Speed of $1 km{s}^{-1}$
D. Acceleration of $10 m{s}^{-2}$

Answer 1

In this problem, only force and mass of the object is given. Thus, acceleration can be calculated and not speed of the object. So, to solve this problem, use Newton's second law of motion which gives a formula for force which gives a relationship between force, mass and acceleration. Then, substitute the given values in the formula. Rearrange the equation and find the value of acceleration of the object.

Formula used:
$Force = mass \times acceleration$

Complete step by step answer:
Given: Force (F)= 1 Newton
Mass (m)= 1 kg
We know, according to Newton’s second law, force is given by,
$Force = mass \times acceleration$
Where, F is the force acting on the body
m is the mass of the body
a is the acceleration acting on the body
$\Rightarrow F= m \times a$
Substituting the values in above equation we get,
$1 = 1 \times a$
$\Rightarrow a = 1$
Hence, the object moves with an acceleration of $1 m{s}^{-2}$.

So, the correction answer is option B i.e. Acceleration of $1 m{s}^{-2}$.

Note:
To solve these types of problems, students must remember the basic formulas of speed, force, acceleration etc. And by looking at the given values they should understand which other parameters can be calculated with the help of that. If time was also mentioned in this question, then after calculating the acceleration we could have also calculated the speed of the object using the relation between acceleration and speed of an object.