Work and Energy


   
 
Momentum and Kinetic Energy
We know that all moving objects possess momentum. Momentum of the body is defined as the product of its mass and the velocity.
 
Now let us see how kinetic energy of a body is related to its momentum.
 
Consider a body of mass 'm' moving with a velocity 'v'. Then, momentum of the body is got by
 
p = mv
 
 
 
Substituting the value of v in equation (1) we get,
 
 
   
 
 
Numericals
 
01. Calculate the kinetic energy of a body of mass 5 kg, which is moving with a velocity of 15 m/s.
 
Solution:
 
Mass of the body (m) = 5 kg
 
Velocity of the body (v) = 15 m/s
 
Kinetic energy
 
                      
 
                      
 
                      
 
Kinetic energy = 562.5 J
 
02. A dog of mass 20 kg is running at a constant speed of 12 m/s. Calculate the kinetic energy of the dog while it is running.
 
Solution:
 
Mass of the dog (m) = 20 kg
 
Velocity (v) = 12 m/s
 
 
                                                
 
                                                
 
Kinetic energy of the dog = 1440 J
 
 
     
   
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