If the mass of an object is tripled, how does its gravitational potential energy change at a constant height?

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Q: If the mass of an object is tripled, how does its gravitational potential energy change at a constant height?

Solution: Gravitational potential energy U = mgh, so if mass is tripled, U also triples.

Steps: 7

Step 1: Understand the formula for gravitational potential energy, which is U = mgh.
Step 2: Identify the variables in the formula: U is gravitational potential energy, m is mass, g is the acceleration due to gravity, and h is height.
Step 3: Note that in this scenario, the height (h) and the acceleration due to gravity (g) remain constant.
Step 4: If the mass (m) is tripled, we can express the new mass as 3m.
Step 5: Substitute the new mass into the formula: U = (3m)gh.
Step 6: Simplify the equation: U = 3(mgh).
Step 7: Conclude that the new gravitational potential energy is three times the original gravitational potential energy.