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
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 :-
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 ;
✒ 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 ;
✐ Acceleration = 48 N / 24 kgs
✐ Acceleration = 2 m/s²
Therefore,
✐ Acceleration produced = 2 m/s²
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