Question

Newton's second law states that the net force is equal to the product of mass and acceleration. A boat’s mass is $9.6 \times {10^5}kg$ and it experiences a net force of $1.5 \times {10^4}N$.what is its acceleration.

Answer 1

Hint: In order to solve the question, we will use the newton’s second law as stated in the question and in the formula, we will substitute the mass of the boat as given in the question and the net force applied on the boat after all this, we will reach to our answer that is the acceleration applied on the boat

Complete step by step solution:
The question states that newton’s second law states that the net force equal to the product of mass and acceleration and in the question, we are given a boat whose mass and net force applied on it is given and we have to find the acceleration of the boat
Mass of the boat = $9.6 \times {10^5}kg$
Net force applied on the boat = $1.5 \times {10^4}N$
In order to find the acceleration applied on the boat we have to use newton’s second law as stated in question
Formula of newton’s second law
$force = mass \times acceleration$
In the above formula we will substitute the mass of the boat and the force applied on it
$1.5 \times {10^4}N = 9.6 \times {10^5}kg \times acceleration$
Now we will take the mass on the other side below force
$$\dfrac{{1.5 \times {{10}^4}}}{{9.6 \times {{10}^5}}}m{s^{ - 2}} = acceleration$$
Now we will divide the force and mass in order to find acceleration applied on boat
$$acceleration = 1.5 \times {10^{ - 2}}m{s^{ - 2}}$$
Hence, the answer is $$1.5 \times {10^{ - 2}}m{s^{ - 2}}$$ .

Note:
Many of the people will may confuse between standard international unit (SI) as force is product of mass and acceleration so along with newton it can also be written as kg $m{s^{ - 2}}$ so that is why when we divide the force by mass in the above calculation we have directly written newton by mass as meter per square second.