A51.0 kg cheetah accelerates from rest to its top speed of 31.7 m/s. hint (a) how much net work (in j) is required for the cheetah to reach its top speed? j (b) one food calorie equals 4186 j. how many calories of net work are required for the cheetah to reach its top speed? note: due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the energy that must be produced by the cheetah's body. cal

(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:

a sonic boom is a loud boom that breaks the sound barrier

explanation:

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me