Question

An object accelerates 12.3 m/s2 when a force of 4.2 newtons is applied to it. What is the mass of the object?

Answer 1

Answer :

Given :

Acceleration = 12.3m/s^2

Force = 4.2 newtons

Required to find:

1. Mass of the object

Solution:

To solve this question we need to learn about the Newton's 2nd law of motion in detail.

From this Newton's 2nd law of motion we are going to derive a formula to solve this question simply.

Newton's 2nd law of motion

Newton's 2nd law of motion states that

The rate of change of momentum is directly proportional to the unbalanced force in the direction of force .

So, this represented as

$force \: \: ∝ \frac{mv - mu}{t} \\ force \: ∝ \frac{m(v - u)}{t} \\ force \:∝mass \: \times \: acceleration$

This proves that,

Force is directly proportional to Mass.

Force is directly proportional to Acceleration.

So , from above we get a formula

$force \: = \: mass \: \times \: acceleration$

Therefore, using this formula we are solving this question but we need to chance this formula a bit to get our answer directly!!

Hence ,

$f \: = \: m \times a \\ mass = \frac{force}{acceleration}$

Therefore,

Mass = 4.2 N / 12.3 m/s^2

= 0.3414-----

= 0. 34 kg ( approximately)

Hence ,

The mass of the object is 0.34 kgs.

Answer 2

Answer:

Answer :

Given :

Acceleration = 12.3m/s^2

Force = 4.2 newtons

Required to find:

Mass of the object

Solution:

To solve this question we need to learn about the Newton's 2nd law of motion in detail.

From this Newton's 2nd law of motion we are going to derive a formula to solve this question simply.

Newton's 2nd law of motion

Newton's 2nd law of motion states that

The rate of change of momentum is directly proportional to the unbalanced force in the direction of force .

So, this represented as

\begin{gathered}force \: \: ∝ \frac{mv - mu}{t} \\ force \: ∝ \frac{m(v - u)}{t} \\ force \:∝mass \: \times \: acceleration\end{gathered}

force∝

t

mv−mu

force∝

t

m(v−u)

force∝mass×acceleration

This proves that,

Force is directly proportional to Mass.

Force is directly proportional to Acceleration.

So , from above we get a formula

force \: = \: mass \: \times \: accelerationforce=mass×acceleration

Therefore, using this formula we are solving this question but we need to chance this formula a bit to get our answer directly!!

Hence ,

\begin{gathered}f \: = \: m \times a \\ mass = \frac{force}{acceleration} \end{gathered}

f=m×a

mass=

acceleration

force

Therefore,

Mass = 4.2 N / 12.3 m/s^2

= 0.3414-----

= 0. 34 kg ( approximately)

Hence ,

The mass of the object is 0.34 kgs.