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A ball is dropped from the top of a tower. At the midpoint of the motion of the ball, the energy possessed by the ball is:
Kinetic
Sound
Potential
Both Potential and Kinetic
Both Potential and Kinetic
When a ball is dropped, it possesses gravitational potential energy at the top. As it falls, this potential energy is continuously converted into kinetic energy according to the law of conservation of energy.
When a ball is dropped, it possesses gravitational potential energy at the top. As it falls, this potential energy is continuously converted into kinetic energy according to the law of conservation of energy.
Think of it like a piggy bank transfer: as you take coins out of your 'Potential' vault (height), they immediately land in your 'Kinetic' wallet (motion). At the midpoint, you have some coins left in the vault and some already in your wallet.
EtotalтАЛ=PE+KE
PE=mgh
KE=21тАЛmv2
The principle of Conservation of Mechanical Energy states that in a conservative field (like gravity), the total mechanical energy remains constant. Total Energy E=PE+KE. At the top, PE=mgh and KE=0. At the midpoint, the ball has lost half its height, so PE=mgh/2 and KE=mgh/2. Since both components coexist during the motion, the ball possesses both potential and kinetic energy.
Total mechanical energy is conserved in the absence of air resistance.
Potential energy is dependent on height from the reference level.
Kinetic energy is dependent on the velocity acquired during the fall.
Hydroelectric power generation
Rollercoaster design
At the exact moment of release, KE is zero.
Just before hitting the ground, PE is effectively zero (relative to ground).
Option D is the only one that reflects the coexistence of both forms of energy at intermediate positions.
D is correct тАФ At the midpoint, the ball has partially converted its gravitational potential energy into kinetic energy, resulting in the possession of both.
Remember that 'Total Mechanical Energy' stays constant in a closed system, but 'Potential' and 'Kinetic' energies are dynamic and interconvertible.