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9 months ago

the ability of torricelli's hypothesis about atmospheric pressure to suggest the design of the barometer is an illustration of:

1 answer:

7 0

The ability of Torricelli's hypothesis about atmospheric pressure to suggest the design of the barometer is an illustration of Fruitfulness

A barometer is a scientific instrument used to measure the air pressure in a certain environment. The atmospheric pressure measured is also known as barometric pressure. The pressure is measured in terms of atmosphere ( atm ) or bars. One bar / atm = 100 KPa

A glass tube closed at one end is submerged in a bowl filled with mercury and raised the tube but not above the mercury surface. The weight of the mercury pulled it down and left a partial vacuum at the closed end. This proved that gas has mass by creating pressure on things around it.

Therefore, the ability of Torricelli's hypothesis about atmospheric pressure to suggest the design of the barometer is an illustration of Fruitfulness

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A rocket travels in the x-direction at speed 0.70c with respect to the earth. An experimenter on the rocket observes a collision

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A) The space time coordinate x of the collision in Earth's reference frame is

$x \approx 103,46x10^{9}m$ .

B) The space time coordinate t of the collision in Earth's reference frame is

$t=377,29s$

Explanation:

We are told a rocket travels in the x-direction at speed v=0,70 c (c=299792458 m/s is the exact value of the speed of light) with respect to the Earth. A collision between two comets is observed from the rocket and it is determined that the space time coordinates of the collision are (x',t') = (3.4 x 10¹⁰ m, 190 s).

An event indicates something that occurs at a given location in space and time, in this case the event is the collision between the two comets. We know the space time coordinates of the collision seen from the reference frame of the rocket and we want to find out the space time coordinates in Earth's reference frame.

<em>Lorentz transformation</em>

The Lorentz transformation relates things between two reference frames when one of them is moving with constant velocity with respect to the other. In this case the two reference frames are the Earth and the rocket that is moving with speed v=0,70 c in the x axis.

The Lorentz transformation is

$x'=\frac{x-vt}{\sqrt{1-\frac{v^{2}}{c^{2}}}}$

$y'=y$

$z'=z$

$t'=\frac{t-\frac{v}{c^{2}}x}{\sqrt{1-\frac{v^{2}}{c^{2}}}}$

prime coordinates are the ones from the rocket reference frame and unprimed variables are from the Earth's reference frame. Since we want position x and time t in the Earth's frame we need the inverse Lorentz transformation. This can be obtained by replacing v by -v and swapping primed an unprimed variables in the first set of equations

$x=\frac{x'+vt'}{\sqrt{1-\frac{v^{2}}{c^{2}}}}$