Ball 1, with a mass of 100 g and traveling at 10 m/s, collides head-on with ball 2, which has a mass of 300 g and is initially a
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The period of a simple pendulum is given by
where
L is the pendulum length
g is the acceleration of gravity
If we move the same pendulum from Earth to the Moon, its length L remains the same, while the acceleration of gravity g changes. So we can write the period of the pendulum on Earth as:
where
is the acceleration of gravity on Earth, while the period of the pendulum on the Moon is
where
is the acceleration of gravity on the Moon.
If we do the ratio of the two periods, we get
but the gravity acceleration on the Moon is 1/6 of the gravity acceleration on Earth, so we can write
and we can rewrite the previous ratio as
so the period of the pendulum on the Moon is
where
L is the pendulum length
g is the acceleration of gravity
If we move the same pendulum from Earth to the Moon, its length L remains the same, while the acceleration of gravity g changes. So we can write the period of the pendulum on Earth as:
where
where
If we do the ratio of the two periods, we get
but the gravity acceleration on the Moon is 1/6 of the gravity acceleration on Earth, so we can write
so the period of the pendulum on the Moon is
To compute for the heat, 
needed to be absorbed or released, we need
where
is the mass of the alligator, 
is the change in temperature, and 
is the specific heat of the alligator's body. Plugging in all the information we have,
Recall that 1 Watt = 1 J/s, thus time needed to absorb radiation from the sun is
That means it takes 4250 seconds for the alligator to warm up to be able to absorb the radiation from the sun.
Answer: 4250 seconds
where
Recall that 1 Watt = 1 J/s, thus time needed to absorb radiation from the sun is
That means it takes 4250 seconds for the alligator to warm up to be able to absorb the radiation from the sun.
Answer: 4250 seconds