define kinetic energy
Answers
Answer:
✍ The Kinetic theory was developed by Maxwell, Boltzmann and others in the 19th century.
✍ It explains the behaviour of gases based on the idea the gases consists of a large number of atoms or molecules in a state of continuous random motion.
✍ The inter atomic forces binding the atoms are negligible. The theory is consistent with various gas laws and Avogadro's hypothesis.
✍ It gives molecular interpretation of temperature, pressure, specific heat capacities, viscosity, conduction and diffusion of gases.
Kinetic energy of an object is an energy that is possessed due to its motion.
• Example : Rotation of planet around sun or A planet rotating around the earth.
• Unit : Joule (J) or kg m²/s²
• Derivation :
Consider an object (O) on which force (F) is acting which moves the object through distance (s).
Now..
W (work done) = F × s
We know that
F = ma
So,
W = (ma) s ______ (eq 1)
After workdone the object changes it's velocity from u to v. Acceleration (a) also acts on it.
v² - u² = 2as
(v² - u²)2a = s
s = (v² - u²)/2a
Put value of s in (eq 1)
W = ma [(v² - u²)/2a]
W = 1/2 (v² - u²) × m
W = 1/2 (mv² - mu²)
Now.. object is at rest. So, u = 0
W = 1/2 mv²
K.E. = 1/2 mv²
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