An escalator is used to move 25 passengers every minute from the first floor of a department store to the second. The second flo
2 answers:
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1) The mass of the continent is
2) The kinetic energy of the continent is 1683 J
3) The speed of the jogger must be 6.57 m/s
Explanation:
1)
The continent can be represented as a slab of size
and depth
So its volume is
We also know that the density of the continent is
Therefore, we can calculate its mass as:
2)
The kinetic energy of the continent is given by
where
m is its mass
v is its speed
We have already calculate its mass, while the speed is
v = 3.2 cm/year
We have to convert into SI units first, as follows:
The mass is
So, the kinetic energy of the continent is
3)
Here we have a jogger having the same kinetic energy of the continent, so
And the kinetic energy of the jogger can be expressed as
where
m = 78 kg is the mass of the jogger
v is his speed
We can therefore re-arrange the equation to find the speed of the man, and we get:
Learn more about kinetic energy:
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