To understand this principle more,we need to understand which factors do kinetic and potential energy.Let us first observe each formulas:
This means the kinetic energy directly depends on velocity and mass.The higher the mass adn velocity,the bigger the KE and vice versa.
We can see here that the Gravitational Potential Energy directly depends on weight(mass•acceleration due gravity) and height.The higher the elevation,the bigger the potential energy.
This conservation of mechanical energy equation tells us that the sum of potential and kinetic energy sums up to the total mechanical energy.This means if KE is decreasing,PE must be increasing in order to conserve mechanical energy.If KE is increasing,PE must be decreasing in order to again,conserve mechanical energy.
========================================
Let us analyze each problem.
1.PointAandE
-Since earlier we said that regardless of weight,GPE is dependent on height.Since at these points the pendulum is at its highest height,meaning potential energy is at its Maximumhere and kinetic energy must be Zerohere to conserve mechanical energy.
1.PointC
-We said that if ever GPE is decreasing,KE must be increasing in order to conserve mechanical energy.Since at point C the pendulum is at its LOWESTPOINT,therefore the GPE here must be Zero,since height here is zero for the pendulum,and KE is at its Maximumat this point to again,conserve mechanical energy.
2.PointB
-At this point,from a higher Point A to lower Point B,the height decreases and if we remembered from GPE formula,if height decreases,then GPE will decrease as well.Therefore,as the pendulum descends,it is slowly LosingGravitationalPotentialEnergy.
3.PointB
-At this point,since we said at number 2 that at point B,GPE is decreasing since height is decreasing,therefore in order to conserve mechanical energy,KE must Increase at this point.Also,since acceleration due gravity pulls object down with constant acceleration,therefore as the pendulum goes down,its velocity increases and as we recall,as velocity increases,KE increases.
4.PointD
-At this point,the reverse happens.Since the pendulum ascends or increases in height again,GPE must be increasing here as well.In order to conserve mechanical energy,KE must Decreaseat this point.It makes sense since gravity pulls the pendulum down and the pendulum goes up,these forces fight together,and so in vectors,acceleration due gravity still dominates so net force is downward,and so,velocity decreases since the pendulum is working againstgravity.
5.PointD
-As we said from number 4,at this point,GPE will increase since the height at which the pendulum stands increases.
======================================
7-9.
decreaseandincrease,decreaseandincrease,conserved
(This is the answer since the question didn't specify the context)
Answers & Comments
Answer:
To understand this principle more,we need to understand which factors do kinetic and potential energy.Let us first observe each formulas:
This means the kinetic energy directly depends on velocity and mass.The higher the mass adn velocity,the bigger the KE and vice versa.
We can see here that the Gravitational Potential Energy directly depends on weight(mass•acceleration due gravity) and height.The higher the elevation,the bigger the potential energy.
This conservation of mechanical energy equation tells us that the sum of potential and kinetic energy sums up to the total mechanical energy.This means if KE is decreasing,PE must be increasing in order to conserve mechanical energy.If KE is increasing,PE must be decreasing in order to again,conserve mechanical energy.
========================================
Let us analyze each problem.
1.Point A and E
-Since earlier we said that regardless of weight,GPE is dependent on height.Since at these points the pendulum is at its highest height,meaning potential energy is at its Maximum here and kinetic energy must be Zero here to conserve mechanical energy.
1.Point C
-We said that if ever GPE is decreasing,KE must be increasing in order to conserve mechanical energy.Since at point C the pendulum is at its LOWEST POINT,therefore the GPE here must be Zero,since height here is zero for the pendulum,and KE is at its Maximum at this point to again,conserve mechanical energy.
2.Point B
-At this point,from a higher Point A to lower Point B,the height decreases and if we remembered from GPE formula,if height decreases,then GPE will decrease as well.Therefore,as the pendulum descends,it is slowly Losing Gravitational Potential Energy.
3.Point B
-At this point,since we said at number 2 that at point B,GPE is decreasing since height is decreasing,therefore in order to conserve mechanical energy,KE must Increase at this point.Also,since acceleration due gravity pulls object down with constant acceleration,therefore as the pendulum goes down,its velocity increases and as we recall,as velocity increases,KE increases.
4.Point D
-At this point,the reverse happens.Since the pendulum ascends or increases in height again,GPE must be increasing here as well.In order to conserve mechanical energy,KE must Decrease at this point.It makes sense since gravity pulls the pendulum down and the pendulum goes up,these forces fight together,and so in vectors,acceleration due gravity still dominates so net force is downward,and so,velocity decreases since the pendulum is working against gravity.
5.Point D
-As we said from number 4,at this point,GPE will increase since the height at which the pendulum stands increases.
======================================
7-9.
decrease and increase,decrease and increase,conserved
(This is the answer since the question didn't specify the context)