Physics, asked by sumalathaakinapelli, 3 months ago

3
.
An object of mass m and velocity v has kineti
energy = 2009. Find the new
if the
mass of the object becomes double and velocity
kinetic energy
still remains the same,​

Answers

Answered by Anonymous
13

Correct Question :

  • An object of mass m and velocity v has kinetic energy = 200 J. Find the new kinetic energy if the mass of the object becomes double and velocity still remains the same.

Answer :

In the question we have provided that, An object of mass "m" and velocity "v" has kinetic energy "K.E" = 200 J.

We need to find the new kinetic energy if the mass of the object becomes double and velocity still remains the same.

  • Let, Kinetic energy be K.E
  • Let, Velocity be v
  • Let, Mass be m

According to the first condition :

→ K.E = ½ mv²

→ 200 = ½ mv²

→ 200 × 2 = mv²

→ 400 = mv²

mv² = 400 ....(I)

According to the second condition :

  • Let, the new kinetic energy be K.E'
  • The mass of the object becomes double = 2m
  • Velocity still remains the same.

↠K.E' = ½ mv²

↠K.E' = ½ × 2m × v²

↠K.E' = mv²

K.E' = 400 J [From eqⁿ (I)]

Hence,the new kinetic energy (K.E') is 400 J.

Answered by Anonymous
94

{\large{\pmb{\sf{\bigstar \:{\underline{Correct \; QuEstion...}}}}}}

⋆ An object of mass,m and velocity,v has kinetic energy as 200 J. Find the new kinetic energy if the mass of the object becomes double and velocity still remains the same.

{\large{\pmb{\sf{\bigstar \:{\underline{GivEn \: That...}}}}}}

⋆ An object of mass m and velocity v has kinetic energy as 200 Joules.

★ Situations regards this question are mentioned below:

⋆ The mass of the object becomes double.

⋆ Velocity still remains the same.

{\large{\pmb{\sf{\bigstar \:{\underline{To \: FiNd...}}}}}}

⋆ The new kinetic energy is the mass of the object becomes double.

⋆ The new kinetic energy is the velocity still remains the same.

{\large{\pmb{\sf{\bigstar \:{\underline{SoluTion...}}}}}}

⋆ The new kinetic energy is the mass of the object becomes double = 400 Joules

⋆ The new kinetic energy is the velocity still remains the same = 400 Joules

{\large{\pmb{\sf{\bigstar \:{\underline{Using \: ConcEpt...}}}}}}

⋆ Formula to find out the kinetic energy =

{\small{\underline{\boxed{\sf{K.E \: = \dfrac{1}{2} mv^{2}}}}}}

{\large{\pmb{\sf{\bigstar \:{\underline{Full \; SoluTion...}}}}}}

{\underline{\sf{According \: to \: Situation \: 1)}}}

{\small{\underline{\boxed{\sf{K.E \: = \dfrac{1}{2} mv^{2}}}}}} \\ \\ :\implies \sf K.E \: = \dfrac{1}{2} mv^{2} \\ \\ :\implies \sf 200 \: = \dfrac{1}{2} mv^{2} \\ \\ :\implies \sf 200 \times 2 = 1 \: mv^{2}  \\ \\ :\implies \sf 400= 1 \: mv^{2} \\ \\ :\implies \sf 400= mv^{2} \\ \\ :\implies \sf  mv^{2} = 400

Henceforth, we get mv² as 400

{\underline{\sf{According \: to \: Situation \: 2)}}}

~ Now as it's given that the mass of the object becomes double(2) and velocity still remains the same.

{\small{\underline{\boxed{\sf{K.E \: = \dfrac{1}{2} mv^{2}}}}}} \\ \\ :\implies \sf K.E \: = \dfrac{1}{2} mv^{2} \\ \\ :\implies \sf K.E \: = \dfrac{1}{2} \:  2mv^{2} \\ \\ :\implies \sf K.E \: = \dfrac{1}{\cancel{2}} \:  \cancel{2}mv^{2} \\  \\ :\implies \sf K.E \: = 1 \: mv^{2} \\  \\ :\implies \sf K.E \: = mv^{2} \\  \\ :\implies \sf K.E \: = 400 \: Joules

Henceforth, the new kinetic energy is the mass of the object becomes double and the new kinetic energy is the velocity still remains the same is 400 Joules.

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