Question

a force of 2n acting on a body changes its velocity uniformly from 2m/s to 5m/s in 10 s calculate mass of the body ? give ans on Instagram kajalpoojarajput 8019​

Answer 1

GiveN :

• Force (F) = 2 N
• Initial velocity (u) = 2 m/s
• Final velocity (v) = 5 m/s
• Time interval (t) = 10 s

To FinD :

• Mass of the body

SolutioN :

Use 1st equation of motion for calculating value of acceleration :

$\\ \implies \boxed{\rm{v = u + at}} \\ \\ \\ \implies \rm{a = \dfrac{v - u}{t}} \\ \\ \\ \implies \rm{a = \dfrac{5 - 2}{10}} \\ \\ \\ \implies \rm{a = \dfrac{3}{10}} \\ \\ \\ \implies \rm{a = 0.3} \\ \\ \\ \underline {\rm{\therefore \: Acceleration \: of \: body \: is \: 0.3 \: ms^{-2}}}$

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Now, use formula of force

$\implies \boxed{\rm{F = ma}} \\ \\ \\ \implies \rm{m = \dfrac{F}{a}} \\ \\ \\ \implies \rm{m = \dfrac{2}{0.3}} \\ \\ \\ \implies \rm{m = 6.67} \\ \\ \\ \underline {\rm{\therefore \: Mass \: of \: body \: is \: 6.67 \: kg}}$

Answer 2

AnSwer:

• Mass of the body is 6.67 kg

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✰ GiVen :

• Force (F) = 2 N
• Initial velocity (u) = 2 m/s
• Final velocity (v) = 5 m/s
• Time interval (t) = 10 sec

✰ To Find :

We need to find the mass of the body.

✰ SoluTion :

According to the question,

By using the 1st equation of motion :

$\\ \implies \boxed{\rm{v = u + at}} \\ \\ \\ \implies \rm{a = \dfrac{v - u}{t}} \\ \\ \\ \implies \rm{a = \dfrac{5 - 2}{10}} \\ \\ \\ \implies \rm{a = \dfrac{3}{10}} \\ \\ \\ \implies {\underline{\boxed{\bf{\purple{a = 0.3}}}}}\: \bigstar \\ \\ \\ \underline {\sf{\therefore \: Acceleration \: of \: body \: is \: 0.3 \: ms^{-2}}}$

Now, use the formula of force to calculate the mass,

$\implies \boxed{\rm{F = ma}} \\ \\ \\ \implies \rm{m = \dfrac{F}{a}} \\ \\ \\ \implies \rm{m = \dfrac{2}{0.3}} \\ \\ \\ \implies {\underline{\boxed{\bf{\red{m = 6.67}}}}}\: \bigstar \\ \\ \\ \underline {\sf{\therefore \: Mass \: of \: body \: is \: 6.67 \: kg}}$

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