Question

force at an object of mass 10kg and change its velocity 20m/s to 40m/s in 5 seconds. Find the magnitude of force​

Answer 1

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Answer 2

$\huge\sf\pink{Answer}$

☞ Force = 40 N

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$\huge\sf\blue{Given}$

✭ Mass (m) = 10 kg

✭ Initial velocity (u) = 20 m/s

✭ Final Velocity (v) = 40 m/s

✭ Time (t) = 5 sec

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

◈ The Force applied?

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$\huge\sf\purple{Steps}$

So here we shall first find the acceleration of the body and to do so we shall use the first equation of motion, that is,

$\underline{\boxed{\sf v=u+at}}$

Substituting the given values,

➝ $\sf v=u+at$

➝ $\sf 40 = 20+a\times 5$

➝ $\sf 40-20 = 5a$

➝ $\sf 20 = 5a$

➝ $\sf \dfrac{20}{5} = a$

➝ $\sf \red{a=4 \ m/s^2}$

To find the force applied we shall use,

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

Substituting the values,

➳ $\sf F=ma$

➳ $\sf F=10\times 4$

➳ $\sf \orange{F=40 \ N}$

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