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
⏭ 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.
⋆ 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.
⋆ 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.
⋆ The new kinetic energy is the mass of the object becomes double.
⋆ The new kinetic energy is the velocity still remains the same.
⋆ 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
⋆ Formula to find out the kinetic energy =
Henceforth, we get mv² as 400
~ Now as it's given that the mass of the object becomes double(2) and velocity still remains the same.
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.