Question

A force of 2n acting on a body changes its velocity uniformly from 2m/s to 5m/s in 10s. calculate the mass of body

Answer 1

I surely , you understand my solution . if really you understand #.... MARK BRAINLIST☺☺

Answer 2

Mass of the body is 6.67 kg.

Explanation:

Given :

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

To Find :

The mass of the body.

Solution :

We know that :

$\textbf{\underline{\underline{The 1st equation of motion :}}}\\ \\ \\ \implies \boxed{\sf{v = u + at}} \\ \\ \\ \implies \sf{a = \dfrac{v - u}{t}} \\ \\ \\ \implies \sf{a = \dfrac{5 - 2}{10}} \\ \\ \\ \implies \sf{a = \dfrac{3}{10}} \\ \\ \\ \implies \bigstar\;{\underline{\boxed{\bf{{a = 0.3}}}}}\:\\ \\ \\ \underline{\underline{\sf{\therefore \: Acceleration \: of \: body \: is \: 0.3 \: ms^{-2}}}}$

Now, We also know the formula of Force,

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