Answer:
Triples
Explanation:
Kinetic energy =1/2 mv^2 + 1/2 Iw^2
v= linear velocity
w= angular velocity
I= moment of inertia of object
I = k mr^2 where k is a constant for a particular shaped object
v = rw
w=v/r
Rotational Kinetic energy = 1/2 k m× (v/r)^2 × r^2
Total Kinetic energy = translational Kinetic energy + rotational Kinetic energy
KE = 1/2 (1+k) mv^2
Centripetal acceleration = mv^2/r
When KE is tripled, because 1/2(1+k) is a constant for a particular object, mv^2 part gets tripled. r doesn't appear in the equation of total Kinetic energy. So tripling Kinetic energy doesn't affect r. Therefore centripetal acceleration also gets tripled.
In the question there are three values of densities.
We are asked to arrange these values in descending order.
In order to solve this problem first we have to convert each values into same unit.Let the unit chosen to be gram per cubic centimeter.
The first value is 1000 kg per cubic metre.
we know that 1 kg=1000 kg and and 1 m=100 cm
Hence the value in CGS system will be-
The second value is 1 gram per cubic centimetre.
Third value is 1 kg per cubic millimeter.
we know that
Hence 1 kg per cubic millimeter i.e
Hence the perfect order will be-
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