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2 years ago

Write a paragraph explaining why both Mali and Songhai would have been more successful trading empires than Ghana.

1 answer:

8 0

Africa the world’s second largest continent evolved from nomadic tribes to sedentary communities and then to powerful empires. Ghana, Mali, and Songhahi were all empires that relied heavily on trade of salt and gold, powerful militaries, and Islamic influence to become powerful empires.Ghana became a powerful state when it gained control of valuable trade routes with the help of a strong military.The empire of Mali reached its height under the ruler Mansa Musa, but the empire fell to invaders in the 1400s.The Songhai built a new Islamic empire in West Africa, conquering many of the lands that were once part of Mali.

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How fast must an object move before its length appears to be contracted to one-half its proper length?

notsponge [240]

The object must move with the speed of $\frac{\sqrt{3} }2}$ times to approximately seeing that it is contracted to exactly half of its actual length.

<h3>How is this calculated?</h3>

The length contraction experimented by the object as it approaches lightspeed, in meters per second, is described by Lorentz contraction formula:

$\frac{L}{L'} = \sqrt{(1) - (\frac{v}{c})^{2}$

Here, v is the current speed m/s

c is the speed of light in m/s

L' is the length of the object at rest in m

L is the length of the object at the current speed in m

Now we know that

$\frac{L}{L'}= \frac{1}{2}$ and $\frac{v}{c} = r$ then,

$\frac{1}{2} = \sqrt{1 - r^{2} }\\\frac{1}{4} = 1 - r^{2}\\r^{2} = \frac{3}{4}$

Hence, r = $\frac{\sqrt{3} }{2}$

Therefore, the answer is the object must travel at a speed of $\frac{\sqrt{3} }{2}$ times the lightspeed to be contracted to one-half its proper length.

To know more about the Lorentz contraction formula, visit:

brainly.com/question/17407131

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2 years ago

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charle [14.2K]

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