Shelly is a biologist who wants to determine the growth rate of a strain of bacteria. Shelly puts 85 bacteria into a controlled environment and waits 4 hours. When Shelly checks 4 hours later, there are 850 bacteria. What is the hourly growth rate of the bacteria? Enter your answer as a number, rounded to hundredths, like this: 425.36

First we must assume that as the limb falls from a tree, then it was initially in repose.
 For that moment the mechanical energy will be equal to the potential energy of the object, which will be given by:
 E = m * g * h
 where,
 m = mass
 g = gravity
 h = height
 Substituting the values:
 E = m * g * h
 E = (14) * (9.8) * (3.5) = 480.2
 E = 480.2J
 Then, for conservation of energy. the mechanical energy before touching the ground, it is the same mechanical energy that it had when it started to fall
 E = 480.2J
 answer
 the mechanical energy is E = 480.2J