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Homework Equations
Total Energy = Kinetic Energy + Potential Energy
T.E = 1/2mv^2 + m(g)(h)
The Attempt at a Solution
Distance Child travels
Sin 30 = 4/ x
x = 8m
T.E at top
= 1/2mv^2 + m(9.8)(h)
= 40m
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The law of conservation of energy states that energy cannot be created or destroyed, but can only be transformed from one form to another. This means that the total amount of energy in a closed system remains constant over time.
The conservation of energy applies to everyday life in various ways, such as when we turn on a light switch, the electrical energy is converted into light and heat energy. It also applies to activities like driving a car, where the chemical energy in gasoline is converted into kinetic energy to move the car.
Energy transformation occurs in many forms, such as when a battery-powered device converts chemical energy into electrical energy. Other examples include burning wood, which converts chemical energy into heat and light energy, and photosynthesis, which converts solar energy into chemical energy in plants.
The conservation of energy is directly related to the first law of thermodynamics, which states that energy cannot be created or destroyed. This law is a fundamental principle of physics and is the basis for the law of conservation of energy.
The conservation of energy has many real-world applications, including electricity generation, transportation, and environmental conservation. It is also used in industries such as manufacturing and construction to optimize energy usage and reduce waste.