When the mass of the cylinder increased by a factor of 3, from 1. 0 kg to 3. 0 kg, what happened to the cylindera's gravitational potential energy? It decreased by a factor of 3. It decreased by a factor of 2. It increased by a factor of 2. It increased by a factor of 3.

Answer :

The mass of the cylinder increased by a factor of 3, the  gravitational potential energy increases by a factor of 3.

The given parameters:

  • Initial mass of the cylinder, m₁ = 1.0 kg
  • Final mass of the cylinder, m₂ = 3.0 kg

The gravitational potential energy of an object is calculated as follows;

P.E = mgh

where;

m is the mass

g is acceleration due to gravity

h is the height of the cylinder

when the mass = 1 kg

P.E = 1 x g x h

P.E = gh

when the mass = 3 kg

P.E = 3 x gh

P.E = 3gh

Thus, when the mass of the cylinder increased by a factor of 3, the  gravitational potential energy increases by a factor of 3.

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