Math, asked by ᴠɪʀᴀᴛ, 15 hours ago

If a force of 12 N acting on a body changes its velocity uniformly from 2 m/s to 5 m/s in 20 s then what is the mass of the body? A. 40 kg B. 48 kg C. 80 kg D. 96 kg​.​

Answers

Answered by himshikhavirmani0505
42

Answer:

C ) 80 kg

Step-by-step explanation:

F= ma

F= mass X acceleration

a=(v-u)/t

=(5-2)/20= 3/20 m/s^2

12 N= ma

12= m X 3/20

m= 12 X 20/3 = 80 kg

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Answered by amansharma264
119

EXPLANATION.

Force of 12N acting on a body.

Change its velocity uniformly from 2 m/s to 5 m/s.

In 20 seconds.

As we know that,

Formula of :

Newton first equation of motion.

⇒ v = u + at.

Using this formula in the equation, we get.

Initial velocity = u = 2 m/s.

Final velocity = v = 5 m/s.

time = t = 20 seconds.

Put the values in the equation, we get.

⇒ v = u + at.

⇒ 5 = 2 + a(20).

⇒ 5 - 2 = 20a.

⇒ 3 = 20a.

⇒ a = 3/20.

⇒ a = 0.15 m/s².

As we know that,

Force = Mass x Acceleration.

⇒ 12 = M x 0.15.

⇒ 12/0.15 = M.

⇒ M = 80 kg.

Mass of the body = 80 kg.

Option [C] is correct answer.

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