Answer:
The position of the spring in terms of g, m & k is
Explanation:
Stiffness of the spring = k
Mass = m
When a mass m is attached with the spring then spring stretched. in that case the force exerted on the spring is equal to weight of the mass attached.
⇒ Force exerted on the spring F = k x
⇒ m g = k x
⇒
This is the position of the spring in terms of g, m & k.
1) The mass of the continent is
2) The kinetic energy of the continent is 624 J
3) The speed of the jogger must be 4 m/s
Explanation:
1)
We start by finding the volume of the continent. We have:
is the side
is the depth
So the volume is
We also know that its density is
Therefore, we can find the mass by multiplying volume by density:
2)
The kinetic energy of the continent is given by:
where
is its mass
v = 3.2 cm/year is the speed
We have to convert the speed into m/s. We have:
3.2 cm = 0.032 m
So, the speed is:
So, we can now find the kinetic energy:
3)
Here we have a jogger of mass
m = 78 kg
And the jogger has the same kinetic energy of the continent, so
K = 624 J
The kinetic energy of the jogger is given by
where v is the speed of the jogger.
Solving for v, we find the speed that the jogger must have:
Learn more about kinetic energy:
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