Question

A force of 5N acts on a body of weight 9.8 N.What is the acceleration produced in m/s square?


A. 49.00
B. 5.00
C. 1.46
D. 0.51​

Answer 1

$\huge\sf\pink{Answer}$

☞ Acceleration is 5 m/s²

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$\huge\sf\blue{Given}$

✭ Force Applied = 5 N

✭ Weight = 9.8 N

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$\huge\sf\gray{To \:Find}$

◈ Acceleration of the body?

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$\huge\sf\purple{Steps}$

We know that Weight of a body is given by,

$\underline{\boxed{\sf Weight = mg}}$

◕ Weight = 9.8 N

◕ m = Mass = ?

◕ g = Gravitational Acceleration = 9.8 m/s²

Substituting the given values,

➝ $\sf Weight = Mass \times Acceleration$

➝ $\sf 9.8 = Mass \times 9.8$

➝ $\sf \dfrac{9.8}{9.8} = Mass$

➝ $\sf \red{Mass = 1 \ kg}$

As per Newton's second law of motion,

$\underline{\boxed{\sf F = ma}}$

◕ F = Force = 5 N

◕ m = Mass = 1 kg

◕ a = Acceleration = ?

Substituting the given values,

➳ $\sf F = ma$

➳ $\sf 5 = 1\times a$

➳ $\sf \dfrac{5}{1} = a$

➳ $\sf \orange{Acceleration = 5 \ m/s^2}$

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Answer 2

We know that F=ma
5N=9.8a
a=5/9.8
a=5*10/98
a=5*5/49
a=25/49
a=0.51m/s^2