Science, asked by sangeetapanda690, 8 months ago

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)​

Answers

Answered by MisterIncredible
52

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/

Answered by yash0025
3

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

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