Law of conservation, and efficiency problem?

AI Thread Summary
The discussion focuses on calculating the maximum speed of a pendulum bob using the law of conservation of energy. The pendulum bob, weighing 0.200 kg and raised 22 cm, converts its gravitational potential energy (0.4312 J) into kinetic energy as it passes the rest position. The key equations involved are gravitational potential energy (eg = mgh) and kinetic energy (ek = mv²/2). The user struggles to find the maximum speed (v) because they are unsure how to relate the energies. Ultimately, the problem illustrates the energy transformation between potential and kinetic energy in a pendulum's motion.
raininggently
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Homework Statement


A 2.0x10^2 g pendulum bob is raised 22cm above its rest position.The bob is released, and it reaches its maximum speed as it passes the rest position.

Calculate its maximum speed at that point by applying the law of conservation of energy and assuming that the efficiency is 100%.


Homework Equations


-eg=mgh
-ek=(mv^2)/2
-et=eg+ek
-eff=eoutput/einput x 100%


The Attempt at a Solution


-m=2.0 x 10^2 = 0.200 kg
-h=22cm=0.22 m
I know the law of conservation states when energy is changed from one form to another no energy is lost.

I tried using ek=(mv^2)/2 but I didn't know what ek so I coulden't solve for V.

eg=mgh
eg=(0.200kg)(9.8)(0.22)
eg=0.4312 j

I don't know what to do from here :o
eg=(
 
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raininggently said:

Homework Statement


A 2.0x10^2 g pendulum bob is raised 22cm above its rest position.The bob is released, and it reaches its maximum speed as it passes the rest position.

Calculate its maximum speed at that point by applying the law of conservation of energy and assuming that the efficiency is 100%.


Homework Equations


-eg=mgh
-ek=(mv^2)/2
-et=eg+ek
-eff=eoutput/einput x 100%


The Attempt at a Solution


-m=2.0 x 10^2 = 0.200 kg
-h=22cm=0.22 m
I know the law of conservation states when energy is changed from one form to another no energy is lost.

I tried using ek=(mv^2)/2 but I didn't know what ek so I coulden't solve for V.

eg=mgh
eg=(0.200kg)(9.8)(0.22)
eg=0.4312 j

I don't know what to do from here :o
eg=(

When a pendulum swings there is a repeated interchange of Kinetic Energy and Gravitaional Potential Energy.
When it was to the side - 22 cm higher than rest position, it was all PE.
When it swings past the middle position, all that energy has been transformed into KE.
 
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