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EastWind [94]
2 years ago
8

If someone could dig a safe tunnel through the earth how long would it take to free fall to the center?

Biology
1 answer:
Reptile [31]2 years ago
6 0

Answer: A scenario often presented to introductory physics classes is that of a "gravity tunnel" — a tube drilled from one side of the Earth to the other through the planet's center. The answer taught for nearly a half-century for how long a fall through such a hole would take was about 42 minutes and 12 seconds.

Explanation: However, solar and lunar gravity, which also perturb orbiting satellites, would eventually pull you into the tunnel wall anyway [source: Darling ]. Strike a chord: Fun fact: A straight line from any point to any other point through the planet would take the same amount of time to fall through like a tunnel through Earth's center.

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Answer:

1. 1.26823082 mL

2. 0.5 g/mL

Explanation:

The density formula is:d=\frac{m}{v}

1.

Rearrange the density formula for v,

d=\frac{m}{v}

d*v=\frac{m}{v}*v                     <em>Multiply both sides by v.</em>

d*v=m

\frac{d*v}{d} =\frac{m}{d}                             <em>Divide both sides by d.</em>

v=\frac{m}{d}

Volume is found by dividing mass by density. The mass is 20 grams and the density is 15.77 grams per milliliter.

m= 20 \ g\\d= 15.77 \ g/mL

Substitute the values into the formula.

v=\frac{20 \ g} {15.77 \ g/mL}

Divide. Note the grams, g, will cancel.

v= 1.26823082 \  mL

2.

Use the density formula.

d=\frac{m}{v}

Density is found by dividing mass by volume. The mass is 10 grams and the volume is 20 milliliters.

m= 10 \ g\\v= 20 \ mL

Substitute the values into the formula.

d=\frac{10 \ g}{ 20 \ mL}

Divide.

d= \frac{1}{2} \ g/mL

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