### Question Description

I’m working on a physics question and need an explanation and answer to help me learn.

If you move an object upwards, which of the following statements about the object’s gain in gravitational potential energy are true?

(i)  The gain in gravitational potential energy depends on how far vertically you displace it upwards.

(ii)  The gain in gravitational potential energy depends on the vertical component of the object’s velocity.

(iii)  The gain in gravitational potential energy depends on the mass of the object.

horizontal spring has a length of 20 cm when it is relaxed (neither stretched nor compressed).  The spring is originally compressed by 1.0 cm from its relaxed length.  If we double the compression of the spring to be 2.0 cm from its relaxed length, how does the energy stored in the spring change?

The energy stored in the spring will be cut to one-quarter.

The energy stored in the spring will be cut to one-half.

The energy stored in the spring will be doubled.

The energy stored in the spring will be quadrupled.

The energy stored in the spring will be unchanged.

Question 3

Which of the following statements is true about a conservative system?

(i) In the absence of external forces, mechanical energy is conserved

(ii) External work done on a conservative system can go into changing the kinetic energy of the system.

(iii) External work done on a conservative system can go into changing the thermal energy of the system.Tags: mechanicsPotential energyvertical component

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