Question

A 12 n force when applied on a body produces an acceleration of 4ms.the force required to give this body and acceleration of 10ms is:

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

A 12N force when applied on a body produces an acceleration of 4m/s².the force required to give this body and acceleration of 10m/s² is -

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Force ${\sf F_1}$ = 12N
• Acceleration ${\sf a_1}$=4m/s²
• Acceleration ${\sf a_2}$=10m/s²

According of Newton's Second Law Of Motion ➝

❏$\large{\boxed{\bf \blue{Force=ma} }}$

$\implies{\bf F_1=m×a_1 }$

$\implies{\sf 12=m×4 }$

$\implies{\sf \pink{m=5\:m/s^2}}$

$\implies{\bf F_2=m×a_2 }$

$\implies{\sf F_2=5×10}$

$\implies{\bf \red{Force (F_2)=50N }}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Force required to give this body and acceleration of 10m/s² is ${\bf \red{50N}}$.

Answer 2

$\huge \fcolorbox{red}{pink}{Solution :)}$

Given ,

• When 12 n force applied on a body it produces an acceleration of 4 m/s²

We know that ,

$\large \mathtt{ \fbox{Force = Mass × Acceleration }}$

Substitute the known values , we get

Mass = 12/4

Mass = 3 kg

Now , the amount force required to move an object of 3 kg with acceleration of 10 m/s² is

Force = 3 × 10

Force = 30 Newton

Hence , the required value of force is 30 N

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