Charlize wants to measure the depth of an empty well. She drops a ball from a height of 3 feet into the well
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Answer:
The amount of thermal energy that is generated is 1000 joules.
Step-by-step explanation:
Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:
Where:
- Gravitational potential energy, measured in joules.
- Translational kinetic energy, measured in joules.
- Thermal energy, measured in joules.
The thermal energy is now cleared:
Given that and
, the amount of thermal energy that is generated is:
The amount of thermal energy that is generated is 1000 joules.
Answer: C. is the missing statement.
Explanation: Given: ΔABC with m∠ABC = 90° (view diagram)
Prove:
Proof: 1. Draw (construction)
2. (Angles with the same measure are congruent.)
3. (Reflexive Property of Congruence)
4. (AA criterion for similarity)
5. BC:DC=AC:BC (Corresponding sides of similar triangles are proportional.)
6. (cross multiplication)----------(1)
7. (Angles with the same measure are congruent)
8. (Reflexive Property of Congruence)
9. (AA criterion for similarity)
10. AB:AD=AC:AB⇒ --------------(2)
equation (1) + equation (2) ⇒⇒