A) The mass of the continent is
B) The kinetic energy is 2016 J
C) The speed of the jogger should be 7.1 m/s
Explanation:
A)
The mass of the continent can be calculated as
where
is its density
V is its volume
We have to calculate its volume. We know that the continent is represented as a slab of side 5900 km (so its surface is 5900 x 5900, assuming it is a square) and depth of 26 km, so its volume is:
So, the mass of the continent is
B)
The kinetic energy of a body is given by
where
m is the mass of the body
v is its speed
For the continent, we have:
is the mass
is the speed
We have to convert the speed into SI units. we have:
1 cm = 0.01 m
So, the speed is
Therefore, the kinetic energy is
C)
Again, the kinetic energy of an object is
For the jogger in this problem, his mass is
m = 80 kg
And we want its kinetic energy to be equal to that of the continent, so
K = 2016 J
Re-arranging the equation for v, we find what speed the jogger needs to have this kinetic energy:
Learn more about kinetic energy here:
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