Question

What is the relationship between mass and acceleration for cars ?

Answer 1

Hint: A force is a push or pull applied to an object as a result of its interaction with another object. As two objects collide, each is subjected to a force. As soon as the touch is broken, neither subject feels the force.

Complete answer:
The relationship between mass and acceleration of an object or in this case a car, is given by Newton’s second law of motion. According to Newton's second law of motion, the rate at which a body's momentum varies over time is proportional to the force exerted and occurs in the same direction as the force. The above theorem states that the force is proportional to the mass of the object times the acceleration of the object while the mass of the object is held constant.
So, we get the formula:
$$F=m\times a$$
$a={\displaystyle \frac{F}{m}}$
Here, $m$ is the mass of the car and $a$ is the constant acceleration given to the car. This acceleration is given by a pushing force $F$.

Thus, $F=m\times a$ gives the relationship between mass and acceleration for a car.

Note: The horizontal acceleration of a vehicle is given by $a={\displaystyle \frac{F}{m}}$.Forces can only exist only through interaction. The SI unit of force is in Newtons. Force is said to be a vector quantity. A vector quantity is one that has both magnitude and direction.