Explanation:
The law of conservation of energy is one of the fundamental laws of science that helps to understand energy in nature.
Energy is the ability to do work. There are different forms of energy.
Generally, energy is classified into potential and kinetic forms of energy. Potential energy is the energy at rest in a body. It is due to the position of the body.
Kinetic energy is the energy due to the motion of a body.
There are different forms of kinetic and potential energy and they are related by the law of conservation of energy.
The law states that "in an isolated system, energy is neither created nor destroyed by transformed from one form to another".
An isolated system is a system in which there is no exchange of matter and energy.
Due to this we know that no new energy is created or destroyed, they are only transformed from one form to the other.
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Answer:
W = 0.842 J
Explanation:
To solve this exercise we can use the relationship between work and kinetic energy
W = ΔK
In this case the kinetic energy at point A is zero since the system is stopped
W = K_f (1)
now let's use conservation of energy
starting point. Highest point A
Em₀ = U = m g h
Final point. Lowest point B
Em_f = K = ½ m v²
energy is conserved
Em₀ = Em_f
mg h = K
to find the height let's use trigonometry
at point A
cos 35 = x / L
x = L cos 35
so at the height is
h = L - L cos 35
h = L (1-cos 35)
we substitute
K = m g L (1 -cos 35)
we substitute in equation 1
W = m g L (1 -cos 35)
let's calculate
W = 0.500 9.8 0.950 (1 - cos 35)
W = 0.842 J
M=meter, km=kilometer, mm=millimeter, mg=micrometer, cm=centimeter
Answer:
269,000
Explanation:
The distance between Proxima Centauri and the Sun, d₁₁ = 4.246 light years
The distance between Earth and the Sun, d₂ = 1.58 × 10⁻⁵ light years
The ratio of the distances are;
d₁/d₂ = 4.246/(1.58 × 10⁻⁵) = 268734.177215 ≈ 269,000 times
Therefore, Proxima Centauri is approximately 269,000 times further from the Sun than the Earth is from the Sun
