Question
You are holding ball at the height of 1.5 meters m = 2 kg h =...
You are holding ball at the height of 1.5 meters m = 2 kg h = 1.5 m You are holding a 2 kg ball at 1.5 meters. What is the mechanical energy at the 1.5 m height and what is the mechanical energy at 0, in other words what is the mechanical energy at release and what is the mechanical energy at impact. What is the velocity at the impact?
Answers
According to the law of conservation of energy total mechanical energy remains constant in the case of freely falling body.
The initial potential energy of a body at a height is EP=mgh
= 2x9.8x1.5 =29.4J = E (release)
The final kinetic energy of the body at 0 is EK =29.4J = E (impact)
Now the velocity with which it reached to the point 0 is v
Using the equation of motion
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Here s= h = 1.5m
u= 0 initial velocity
v= final velocity which is to be determined
a= g =9.8m/s2 , acceleration due to gravity
Now v2 -0 = 2x9.8x1.5= 29.4
v2 =29.4
This is velocity of impact v = 5.42m/s
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