What is the best prediction for what will happen when all of the hydrogen in the sun has undergone fusion? helium nuclei will sp
1 answer:
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(a)
The total mechanical energy of the space probe must be constant, so we can write:
(1)
where
is the kinetic energy at the surface, when the probe is launched
is the gravitational potential energy at the surface
is the final kinetic energy of the probe
is the final gravitational potential energy
Here we have
at the surface, (radius of the planet),
(mass of the planet) and m=10 kg (mass of the probe), so the initial gravitational potential energy is
At the final point, the distance of the probe from the centre of Zero is
so the final potential energy is
So now we can use eq.(1) to find the final kinetic energy:
(b)
The probe reaches a maximum distance of
which means that at that point, the kinetic energy is zero: (the probe speed has become zero):
At that point, the gravitational potential energy is
So now we can use eq.(1) to find the initial kinetic energy:
Let's calculate the momentum of Fiona, given by the product between its mass and its speed:
Now let's compare it with the momentum of the other animals:
a) the mass of the sea turtle is missing, so we cannot calculate its momentum.
b) the momentum of the dolphin is
c) the momentum of the horse is
d) the momentum of the lion is
And we can see that the correct answer is b), because the momentum of the dolphin is greater than the momentum of Fiona.
Now let's compare it with the momentum of the other animals:
a) the mass of the sea turtle is missing, so we cannot calculate its momentum.
b) the momentum of the dolphin is
c) the momentum of the horse is
d) the momentum of the lion is
And we can see that the correct answer is b), because the momentum of the dolphin is greater than the momentum of Fiona.