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Leto [7]
3 years ago
10

The African and South American continents are separating at a rate of about 3 cm per year, according to the ideas of plate tecto

nics. If they are now 5000 km apart and have moved at a constant speed over this time, how long is it since they were in contact?
Physics
1 answer:
11111nata11111 [884]3 years ago
6 0

Answer:

166 666 666.7 years

Explanation:

We start the question by making the units uniform. We are told that the continents move at 3 cm/year = 0.03 m/year.

We are also told that the continents are now 5000 km = 5 000 000 m apart

So to calculate the time it took for them to be this far apart

t = distance/speed

t = 5 000 000 m/(0.03 m/year) = 166 666 666.7 years

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A sample of gas with a volume of 750 ml exerts a pressure of 98 kpa at 30◦c. What pressure will the sample exert when it is comp
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Answer:

241 kPa

Explanation:

The ideal gas law states that:

pV=nRT

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We can rewrite the equation as

\frac{pV}{T}=nR

For a fixed amount of gas, n is constant, so we can write

\frac{pV}{T}=const.

Therefore, for a gas which undergoes a transformation we have

\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}

where the labels 1 and 2 refer to the initial and final conditions of the gas.

For the sample of gas in this problem we have

p_1 = 98 kPa=9.8\cdot 10^4 Pa\\V_1 = 750 mL=0.75 L=7.5\cdot 10^{-4}m^3\\T_1 = 30^{\circ}C+273=303 K\\p_2 =?\\V_2 = 250 mL=0.25 L=2.5\cdot 10^{-4} m^3\\T_2 = -25^{\circ}C+273=248 K

So we can solve the formula for p_2, the final pressure:

p_2 = \frac{p_1 V_1 T_2}{T_1 V_2}=\frac{(9.8\cdot 10^4 Pa)(7.5\cdot 10^{-4} m^3)(248 K)}{(303 K)(2.5\cdot 10^{-4} m^3)}=2.41\cdot 10^5 Pa = 241 kPa

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2 years ago
An object with more mass has more kinetic energy than an object with less
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Explanation:

The kinetic energy of an object is given in terms of its mass and object as :

K=\dfrac{1}{2}mv^2

An object with more mass has more kinetic energy. An object with less  mass, if both objects are moving at the same speed, in opposite directions, will have less kinetic energy. The square of v will give positive number.

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