Question

b) An object of mass 16 kg is moving
with an acceleration of 3 m/s2
Calculate the applied force. If the
same force is applied on an object of
mass 24 kg, how much will be the
acceleration? (Ans: 48 N, 2 m/s2)​

Answer 1

Given :-

An object of mass 16 kg in moving with an acceleration of 3 m/s² .

Required to find :-

• Value of the applied force ?

• Acceleration caused when a the same force is applied on body of mass 24 kg ?

Formula used :-

$\large{ \text{ \bf \orange{Force = mass \times acceleration \: }}}$

Solution :-

Given information :-

A object of mass 16 kg is moving with an acceleration of 3 m/s²

we need to find ;

1. Value of the applied force ?

2. The acceleration when the same force is applied on the body of mass 24 kg

_________________________

From the given information we can conclude that ;

• Mass of the object = 16 kg

• Acceleration = 3 m/s²

Using the formula ;

$\underline{\overline{\rm{\bf{ Force = Mass \times Acceleration }}}}$

✒ Force = 16 kg x 3 m/s²

✒ Force = 48 kg*m/s²

✒ Since, 1 kg*m/s² = 1 N

✒ So,

✒ Force = 48 N

Hence,

✒ Force applied on the object = 48 N

Similarly,

We need to find the acceleration when the above resulted force acts on an object of 24 kgs

So,

Mass of the object = 24 kgs

Force applied = 48 N

Using the formula ;

$\underline{\overline{\rm{\bf{ Acceleration = \dfrac{ Force }{ Mass } }}}}$

✐ Acceleration = 48 N / 24 kgs

✐ Acceleration = 2 m/s²

Therefore,

✐ Acceleration produced = 2 m/s²

Answer 2

Given:

Mass=16kg

acceleration =3m/s²

F=ma=16×3=48N

If,

Mass=24kg

Force=48N

a=F/m

a=48/24=2m/s²

hope it helps u