A 50-kg box of iron fishing weights is balanced at the edge of a table. Peter gives it a push and it falls 2 meters to the floor. Which of the following statements is true?
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A
Once the box hit the floor, it lost its kinetic and potential energy.
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B
The box had kinetic energy when it was balanced at the edge of the table.
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C
The box had both kinetic and potential energy after it fell.
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D
Once the box hit the floor, it still had kinetic energy.
Once the box hit the floor, it lost both its kinetic and potential energy as these mechanical forms transformed into non-mechanical energy, heat, sound, and deformation, during the inelastic collision. At floor level with zero height and zero velocity, the box possesses neither gravitational potential energy nor kinetic energy in its final resting state.
A) Once the box hit the floor, it lost its kinetic and potential energy.
At floor level (h = 0), gravitational potential energy becomes zero. Upon impact, kinetic energy dissipates through inelastic collision processes, converting to thermal energy, sound waves, and floor/box deformation. While total energy conserves globally, the box loses its mechanical kinetic and potential energy components, making this statement physically accurate.
B) The box had kinetic energy when it was balanced at the edge of the table.
Kinetic energy requires motion (KE = ½mv²). While balanced motionless at the table edge, the box's velocity equals zero, yielding zero kinetic energy. It possessed gravitational potential energy due to height, but no kinetic energy until Peter's push initiated motion.
C) The box had both kinetic and potential energy after it fell.
"After it fell" implies post-impact resting on the floor. At floor level, height h = 0 eliminates gravitational potential energy (PE = mgh). Assuming complete stop after impact, velocity v = 0 eliminates kinetic energy. The box possesses neither form of mechanical energy in its final resting state.
D) Once the box hit the floor, it still had kinetic energy.
Impact with an immovable floor typically produces an inelastic collision where kinetic energy dissipates rather than conserving. Unless the box rebounds (not indicated), its post-impact velocity equals zero, eliminating kinetic energy. Real-world collisions convert mechanical energy to other forms rather than preserving it.
Conclusion
A stationary object at height possesses gravitational potential energy but no kinetic energy. During free fall, potential energy converts to kinetic energy. Upon floor impact, both mechanical energy forms dissipate into non-mechanical forms, leaving the stationary box on the floor with neither kinetic nor potential energy, though total energy conserves globally through transformation.
Topic Flashcards
Click to FlipWhat form(s) of mechanical energy does a stationary 50-kg box have when balanced 2 meters above the floor?
It only has gravitational potential energy. Its kinetic energy is zero because its velocity is zero.
During the box's free fall, what is happening to its gravitational potential energy and kinetic energy?
Its gravitational potential energy is decreasing as its height decreases, and its kinetic energy is increasing as its velocity increases. The total mechanical energy (ignoring air resistance) remains constant.
Immediately before the box hits the floor, what is the state of its initial potential energy?
The initial potential energy has been almost entirely converted into kinetic energy (assuming negligible air resistance).
When the box comes to a complete stop on the floor after an inelastic collision, what is its kinetic and potential energy?
Both are zero. Kinetic energy is zero (v=0) and gravitational potential energy is zero (h=0).
What happens to the box's mechanical energy (kinetic + potential) when it hits the floor?
It is transformed (lost as mechanical energy) into other non-mechanical forms of energy such as thermal energy (heat), sound energy, and energy of deformation in the box and floor.