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How does mass affect kinetic, potential energy and speed?

How does mass affect each of the following: kinetic energy, potential energy and speed? I'm thinking that the more mass, means a lower kinetic energy but higher potential energy and that mass has nothing to do with speed. Am I right? Thanks.

The formulas are:

Ek = 1/2 m v ^2
Eg = m g h

Which means that both kinetic energy (Ek) and potential energy (Eg) will increase with an increased mass.

Speed has nothing to do with mass.

To make a greater mass have the same speed as a smaller mass, you will need more energy, but this comes from Ek = 1/2 m v ^2

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