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Answers
First Option
Explanation:
Given :-
Body 1 has mass m and velocity v , body 2 has twice the mass of the body 1 and thrice of the velocity of body 1.
To find :-
Find the relation between the two kinetic energies ?
Solution :-
Given that
The mass of the body 1 = m
The velocity of the body = v
Then,
We know that
The kinetic energy of the body 1
=> KE 1 = (1/2) mv² --------------(1)
Given that
The mass of the body 2 = Twice the mass of the body 1 = 2×m = 2m
and
The velocity of the body 2 = Thrice the velocity of the body 1 = 3×v = 3v
Now,
Kinetic energy of the body 2
=> KE 2 = (1/2)(2m)(3v)²
=> KE 2 = (1/2)(2m)(9v²)
=> KE 2 = (2m×9v²)/2
=> KE 2 = 18mv²/2
=> KE 2 = 18[(1/2)mv²]
=> KE 2 = 18 KE 1 (from 1))
Therefore, KE 2 = 18 KE 1
Answer:-
The Kinetic energy of the body 2 is 18 times the kinetic energy of the body 1
Used formulae:-
→ Kinetic Energy of the body = (1/2) mv² kg m/s
or KE = (1/2)mv² J
- m = Mass of the body (in kg)
- v = velocity ( in m/s)