(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:

While no one knows why, astronomers do now know that the solar nebula has collapsed. Scientists believed that our Solar system was made when gas and dust cloud was being disturbed by an explosion of supernova. Due to pressure, this cloud collapsed.
Answer:
A diet high in fat, calories, and cholesterol increases your risk of diabetes. A poor diet can lead to obesity (another risk factor for diabetes) and other health problems. A healthy diet is high in fiber and low in fat, cholesterol, salt, and sugar. Also, remember to watch your portion size.
Answer:
1) 0.51 seconds.
2) 1.45 m/s.
Explanation:
given, height from which cat falls = 1.3 m
we know that, s = ut +
at².
here if we consider cat moment only in downward direction,
intial velocity of cat in downward direction , u = 0.
so, time, t =
.
⇒ t =
= 0.51 seconds.
t = 0.51 seconds.
now, consider cat moment only in forward direction
s = ut , since acceleration is zero in forward direction
⇒ u =
.
so, u =
= 1.45 m/s .
Answer:
A) 185.6 J
B) 9.396 x 10^14 J
C) 4x10^7 m/s
D) 20 m
E) 9.09x10^-8 sec
F) 9.09x10^-8 sec
Explanation:
Detailed explanation and calculation is shown in the image below