Question

7 which of the following statements are true about potential energy? include all that apply.
a moving objects cannot have potential energy.
b. potential energy is the energy stored in an object due to its position.
c both gravitational and elastic potential energy are dependent upon the mass of an object.
d. the gravitational potential energy of an object is dependent upon the mass of the object.
e. if the mass of an elevated object is doubled, then its gravitational potential energy will be
doubled as well.
f. if a spring is pulled back twice as far from equilibrium, the elastic potential energy is
quadrupled.
g. gravitational potential energy is lost as objects free - fall to the ground.
h. the higher that an object is, the more potential energy it will have.
i. the unit of measurement for potential energy is the joule.
j. a 1 - kg mass at a height of 1 meter has a potential energy of 1 joule.
k. a 1 - kg object falls from a height of 10 m to a height of 6 m. the final potential energy of the
object is approximately 40 j.

1. which of the following statements are true about mechanical energy? include all that apply.

Explanation:

Step1: Analyze each statement

Evaluate against potential energy definitions/formulas.

Step2: Verify A

Moving objects can have PE (e.g., flying bird). False.

Step3: Verify B

PE is stored energy due to position. True.

Step4: Verify C

Elastic PE ($\frac{1}{2}kx^2$) doesn’t depend on mass. False.

Step5: Verify D

Gravitational PE ($mgh$) depends on mass. True.

Step6: Verify E

Double mass → double $mgh$. True.

Step7: Verify F

Double displacement → PE quadruples ($\propto x^2$). True.

Step8: Verify G

Free fall converts PE to KE; PE is lost. True.

Step9: Verify H

PE depends on mass/height; higher alone ≠ more PE. False.

Step10: Verify I

PE unit is Joule. True.

Step11: Verify J

$mgh = 1×9.8×1 ≈9.8$ J ≠1 J. False.

Step12: Verify K

Final PE: $1×9.8×6≈58.8$ J ≠40 J. False.

Answer:

B. Potential energy is the energy stored in an object due to its position., D. The gravitational potential energy of an object is dependent upon the mass of the object., E. If the mass of an elevated object is doubled, then its gravitational potential energy will be doubled as well., F. If a spring is pulled back twice as far from equilibrium, the elastic potential energy is quadrupled., G. Gravitational potential energy is lost as objects free-fall to the ground., I. The unit of measurement for potential energy is the Joule.