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ANEK [815]
3 years ago
15

How fast does a rocket ship have to go for its length to be contracted to 99% of its rest length?

Physics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

4.2×10⁷ m/s

Explanation:

L = length observed by an observer

L₀ = Proper length

v = Velocity of the rocket ship

Length contraction formula

L=L_{0}{\sqrt{1-\frac{v^{2}}{c^{2}}}}\\\Rightarrow 0.99=1{\sqrt{1-\frac{v^{2}}{c^{2}}}}\\\Rightarrow \frac{0.99}{1}={\sqrt{1-\frac{v^{2}}{c^{2}}}}\\\Rightarrow 0.99^2=1-\frac{v^{2}}{c^{2}}\\\Rightarrow 0.99^2-1=-\frac{v^2}{c^2}\\\Rightarrow 0.0199\times c^2=v^2\\\Rightarrow v=\sqrt{0.0199}c=v\\\Rightarrow v =\sqrt{0.0199}\times 3\times 10^8\\\Rightarrow v=4.2\times 10^7\ m/s

The speed of the ship would be 4.2×10⁷ m/s

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A drop
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Answer:

27.5\  m

Explanation:

As we know that volume of cylinder is

v=\pi r^{2} *h

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Here,

v= 10 m ,\  diameter= 10, \ r=\frac{diameter}{2} \ r=\frac{10}{2}\\ r=5

Putting these values in the previous equation , we get

10\ = \frac{22}{7} *5 *5*h\\ 14\ =\ 110*h\\h=\frac{110}{14} \\h=\frac{55}{2} \\\\h=27.5\  m

Therefore thickness is 27.5 m

7 0
4 years ago
From the deepest to the surface, what are the parts of the earth's interior?
shepuryov [24]

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Crust: The earth's crust is the outer-most of the three options. Usually made of up different types of rocks.

3 0
3 years ago
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abruzzese [7]
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3 0
3 years ago
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3 0
4 years ago
Pressure is about 1000 hPa at sea level and about 500 hPa at an altitude of 5.5 km. Why doesn’t this vertical pressure gradient
saul85 [17]

Answer:

A. The upward pressure gradient force is balanced by gravity.

Explanation:

A. is correct because the pressure difference is actually generated by gravity. As in the following formula for the pressure at different points:

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6 0
3 years ago
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