The distance fallen by the object at the instant when its kinetic energy has doubled is 5.097m
The kinetic energy of an object is the energy possessed by the body by virtue of its motion.
The gravitational potential energy (energy due to the virtue of its position) of a body is being converted to Kinetic energy once an object falls.
Using the law of conservation of energy according to the equation:
Kinectic Energy = Potential Energy
Since PE = mgh
KE = PE = mgh
Given the following parameters
KE = 100J
m = 2kg
g = 9.81m/s²
Required
Height h
Substitute the required values into the formula
100 = 2(9.81)h
h = 100/19.62
h = 5.097m
Hence the distance fallen by the object at the instant when its kinetic energy has doubled is 5.097m
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