Why is an iceberg more dense than a ship?
1 answer:
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Answer:
<em>The increase of kinetic energy is 108,000 J</em>
Explanation:
<u>Kinetic Energy </u>
Is the energy an object has due to its state of motion. It's proportional to the square of the speed and the mass.
The equation for the kinetic energy is:
Where:
m = mass of the object
v = speed at which the object moves
The kinetic energy is expressed in Joules (J)
A car has a total mass of m=1,200 kg and travels at v1=12 m/s. Then it increases its speed at v2=18 m/s.
It's required to compute the increase of kinetic energy. We'll calculate both energies K1 and K2 and then subtract them.
The increase of kinetic energy is:
The increase of kinetic energy is 108,000 J
Answer:
moment of inertia of sphere 2 is 32 times the moment of inertia of sphere 1
Explanation:
The moment of inertia of a solid sphere about its axis is
where
M is the mass of the sphere
R is the radius of the sphere
The mass of the sphere can be rewritten as
where
is the density
is the volume of the sphere
So the moment of inertia becomes
Calling R the radius of sphere 1, the moment of inertia of sphere 1 is
where is the density of steel, since the sphere is made of steel
Sphere 2 has twice the radius of sphere 1, so
R' = 2R
and so its moment of inertia is
So, the moment of inertia of sphere 2 is 4 times the moment of inertia of sphere 1.