Please help, only answer if your 1000% correct im in summer school and need to pass this class
2 answers:
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A) 0.3
The initial kinetic energy of the stream of spores is
where m is the mass of the spores and v = 3.6 m/s is their initial speed.
The final gravitational potential energy (at the point of maximum height) of the spores is
where g=9.8 m/s^2 is the acceleration due to gravity and h = 20 cm = 0.20 m is the maximum height.
Therefore, the fraction of kinetic energy converted to final potential energy is
So, about 30% of the initial kinetic energy is converted into potential energy.
B) It has been transformed into thermal energy of the spores and surrounding air
In fact, because of the presence of the air resistance during the motion of the spores, some of the mechanical energy of the spores is "wasted" and converted into thermal energy (heat) of the spores and the surrounding air. Without the air resistance, the mechanical energy would be conserved, and the final potential energy of the spore would be equal to the initial kinetic energy.