Answer
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Hint: Newton’s second law of motion states that the rate of change of momentum of a body is directly proportional to the force applied, and the change in momentum takes place in the direction of the applied force.
Formula Used: $F = kma$
Complete answer:
Newton’s second law of motion is defined as the acceleration of an object produced by a net force which is directly proportional to the magnitude of the net force, in the same direction to that of the net force and is inversely proportional to the mass of the object.
Mathematically it is given as,
$F \propto \dfrac{{dP}}{{dt}}$
$ \Rightarrow F \propto \dfrac{{mv - mu}}{t}$
$ \Rightarrow F \propto \dfrac{{m\left( {v - u} \right)}}{t}$
$ \Rightarrow F \propto ma$
$ \Rightarrow F = kma$
Where ‘k’ is denoted as the constant of proportionality, it is equal to 1 when the values are taken in SI units.
Thus, the final expression is given as, $F = ma$
Therefore, Newton’s second law of motion gives the magnitude of force.
Hence, option (A) is the correct answer.
Note:
For a better understanding of the concept of Newton’s second law we can see some applications of it. The application is seen in identifying the amount of force needed to make the object move or to stop it. Some examples are:
1. Kicking ball: When a ball is kicked a force is exerted in a specific direction in which it travels. The stronger the ball is kicked, further away it travels.
2. Pushing a cart: An empty cart is easier to push than a loaded one. Heavier objects require more force to get accelerated.
3. Walking: If you are walking with someone else, the one who weighs heavier than the other will walk slower as the acceleration of the person weighing lighter is greater.
Formula Used: $F = kma$
Complete answer:
Newton’s second law of motion is defined as the acceleration of an object produced by a net force which is directly proportional to the magnitude of the net force, in the same direction to that of the net force and is inversely proportional to the mass of the object.
Mathematically it is given as,
$F \propto \dfrac{{dP}}{{dt}}$
$ \Rightarrow F \propto \dfrac{{mv - mu}}{t}$
$ \Rightarrow F \propto \dfrac{{m\left( {v - u} \right)}}{t}$
$ \Rightarrow F \propto ma$
$ \Rightarrow F = kma$
Where ‘k’ is denoted as the constant of proportionality, it is equal to 1 when the values are taken in SI units.
Thus, the final expression is given as, $F = ma$
Therefore, Newton’s second law of motion gives the magnitude of force.
Hence, option (A) is the correct answer.
Note:
For a better understanding of the concept of Newton’s second law we can see some applications of it. The application is seen in identifying the amount of force needed to make the object move or to stop it. Some examples are:
1. Kicking ball: When a ball is kicked a force is exerted in a specific direction in which it travels. The stronger the ball is kicked, further away it travels.
2. Pushing a cart: An empty cart is easier to push than a loaded one. Heavier objects require more force to get accelerated.
3. Walking: If you are walking with someone else, the one who weighs heavier than the other will walk slower as the acceleration of the person weighing lighter is greater.
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