Question

A car wit a mass of 1500 kg accelerates when the traffic lights turns green. If the new force on the car is 4000 Newton's, what is the car's acceleration?

Answer 1

To answer this we apply what is know as "Newton's Second Law of Motion"

Which states that the net force suffered by a particle is directly proportional to its mass()$m$ and acceleration ($a$).

This law is expressed by the equation:

$F=ma$

Net force ($F$) simply means the sum of all forces or total force.

In the problem we're given total force (4000 N) and mass (1500 kg), so the equation becomes:

$4000=1500a$

We solve for acceleration:

$a= \frac{F}{m}= \frac{4000}{1500}=2.67 \frac{m}{s^2}$

Answer 2

Acceleration is the rate of change in direction or speed of the object.  The acceleration of the given car is $\bold { 2.67\ m/s^2}$.

Acceleration:

It is defined as the rate of change in direction or speed of the object.

From Newtons's second law of motion,

F = ma

Where,

F = force  = 4000 N

m = mass = 1500 kg

a = acceleration = ?

Put the values in the equation,

4000 N = 1500 kg x a

$\bold { a =2.67\ m/s^2}$

Therefore, the acceleration of the given car is $\bold { 2.67\ m/s^2}$.

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