Kinetic energy is the energy possessed by an object due to its motion. It depends on the mass of the object and the square of its velocity. Mathematically, it is expressed as K.E. = 1/2 * m * v².
Chapter 5 of Class 11 Physics covers work energy and power. It explains the calculation of work when a force acts on a body energy conservation and transformation and types of energy like kinetic and potential. Power measures the rate of performing work.
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To calculate the kinetic energy of a body given its mass and momentum, we can make use of the relationship between momentum (p) and kinetic energy (K.E.).
Step 1: Write the formulas
– Momentum (p) is given by:
p = mv
– Kinetic energy (K.E.) is given by:
K.E. = (1/2) mv²
Step 2: Relate momentum to kinetic energy
We can write kinetic energy in terms of momentum:
Using the relation p = mv, we can rearrange to find v:
v = p/m
Substituting this into the kinetic energy formula:
K.E. = (1/2) m (p/m)²
K.E. = (1/2) (p²/m)
Step 3: Substitute the values
Given:
– Mass (m) = 2 kg
– Momentum (p) = 2 N·s (Note: momentum is in kg·m/s which is equivalent to N·s)
Now substituting into the formula for kinetic energy:
K.E. = (1/2) (p²/m)
K.E. = (1/2) [(2)² / 2]
K.E. = (1/2) [4 / 2]
K.E. = (1/2) [2]
K.E. = 1 J
Final Answer:
The kinetic energy of the body is 1 J.
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