A force causes an acceleration of 10 m s2 in a body of
mass 500 g. What acceleration will be caused by the
same force in a body of mass 5 kg ?
Ans. 1 m 2
Answers
Given :-
Acceleration of the body = 10 m/s
Mass of the body = 500 g
To Find :-
The acceleration caused by the same force in a body of mass 5 kg.
Analysis :-
Firstly find the force of the body given using the formula of force by substituting the values accordingly.
Then using the same formula substitute the force and the new mass and find the acceleration required for it accordingly.
Solution :-
We know that,
- f = Force
- a = Acceleration
- m = Mass
Using the formula,
Given that,
Acceleration (a) = 10 m/s
Mass (m) = 500 g = 0.5 kg
Substituting their values,
⇒ f = ma
⇒ f = 0.5 × 10
⇒ f = 5 N
Using the formula,
Given that,
Force (f) = 5 N
Mass (m) = 5 kg
Substituting their values,
⇒ f = ma
⇒ 5 = 5 × a
⇒ a = f/m
⇒ a = 5/5
⇒ a = 1 m/s
Therefore, the acceleration is 1 m/s.
Answer:
Given :-
- A force causes an acceleration of 10 m/s² in a body of 500 g and the same force in a body of mass of 5 kg.
To Find :-
- What is the acceleration caused by the same force in a body of mass of 5 kg.
Formula Used :-
❶ To find force we know that,
❷ To find acceleration we know that,
where,
- F = Force
- m = Mass
- a = Acceleration
Solution :-
❶ First we have to find the force,
Given :
- Mass (m) = 500 g = = 0.5 kg
- Acceleration (a) = 10 m/s
According to the question by using the formula we get,
⇒ F = ma
⇒ Force = Mass × Acceleration
⇒ Force = 0.5 × 10
➠ Force = 5 N
Hence, the force of a body is 5 N .
❷ Now, we have to find the acceleration,
Given :
- Force (F) = 5 N
- Mass (m) = 5 kg
According to the question by using the formula we get,
↦
↦
↦
↦
➦
The acceleration will be caused by the same force in a body of mass of 5 kg is 1 m/s² .