A 51.1 kg child is on a swing attached to ropes that are L = 1.29 m long . Take

Question

A 51.1 kg child is on a swing attached to ropes that are L = 1.29 m long . Take the zero of the gravitational potential energy to be at the position of the child when the ropes are horizontal. Determine the child's gravitational potential energy when the child K at the lowest point of the circular trajectory. -646.7 J Determine the child's gravitational potential energy when the ropes make an angle of 45.0 Degree relative to the vertical. -457.3 J Bated on the results In part a) and b), which portion has the higher potential energy? Correct: the position in part b) has greater potential energy Incorrect the portion in part has greater potential energy

Explanation / Answer

The gravitational potential energy=mgh(which is actually the change in potential energy) ia always relative to a height which we assume as zero. Here, in this question, it has been specified that the height where the swing is horizontal should be taken as zero.Also, gravity always acts upon the object, be it at whatever height. But, since you have taken the horizontal position as zero, hence the bottom position will be taken as negative potential. Had the bottom position been zero, the horizontal one would have positive potential

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