Energy and matter can neither be created or destroyed.
Heat exhaustion is usually accompanied by a fever no higher than 104 degrees Fahrenheit, excessive thirst, nausea, fainting, cool and clammy skin, weakness, muscle aches, heavy sweating, slow heartbeat and dizziness. Heatstroke may develop following heat exhaustion if the condition is not treated.
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There are an estimated 100 billion, so the answer would be D.) Billions
Answer:
the point between Earth and the Moon where the gravitational pulls of Earth and Moon are equal is <em>E)3.45 × 10⁸ m</em>
Explanation:
The force that the Earth exerts on a mass m is
F_e = (G M_e m) / R_e²
where
- G is the universal gravitational constant
- M_e is the mass of Earth
- R_e is the radius of Earth
The force that the Moon exerts on a mass m is
F_m = (G M_m m) / R_m²
where
- G is the universal gravitational constant
- M_m is the mass of the Moon
- R_m is the radius of the Moon
Therefore, the point where the gravitational pulls of Earth and Moon are equal is:
F_e = F_m
R_e + R_m = R = 3.84×10⁸ m
Thus,
(G M_e m) / R_e² = (G M_m m) / R_m²
M_e / R_e² = M_m / (R - R_e²)
(R - R_e²) / R_e² = M_m / M_e
(R - R_e) / R_e = (M_m / M_e)^1/2
R_e(R/R_e -1) / R_e = (M_m / M_e)^1/2
R/ R_e = (M_m / M_e)^1/2 + 1
R_e = R / [(M_m / M_e)^1/2 + 1]
R_e = (3.84×10⁸ m) / [(7.35 x 10²² kg / 5.97 x 10²⁴ kg )^1/2 + 1]
R_e = 3.45 × 10⁸ m
Therefore, the point between Earth and the Moon where the gravitational pulls of Earth and Moon are equal is <em>3.45 × 10⁸ m.</em>
