an object experiences an acceleration of 6.8 meters per second squared. as a result, it accelerates from rest to 24 m per second
1 answer:
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(a)
The work-energy theorem states that the work done on the cheetah is equal to its change in kinetic energy:
where
m = 51.0 kg is the mass of the cheetah
u = 0 is the initial speed of the cheetah (zero because it starts from rest)
u = 31.7 m/s is the final speed
Substituting, we find
(b) 6.1 cal
The conversion between calories and Joules is
1 cal = 4186 J
Here the energy the cheetah needs is
Therefore we can set up a simple proportion
to find the equivalent energy in calories: