Deep ocean trenches are surficial evidence for ______________.

A) sinking of oceanic lithosphere into the mantle at a subduction zone.

B) rifting beneath a continental plate and the beginning of continental drift.

C) rising of hot asthenosphere from deep in the mantle.

D) transform faulting between an oceanic plate and a continental plate.

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mdasfaaruddinshareefLv10

10 Aug 2023

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Tauseef ShaikhLv10

30 Jan 2021

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You are working on a research project in which you must control the direction of travel of electrons using deflection plates. You have devised the apparatus shown in the figure below. The plates are of length ℓ = 0.50 m and are separated by a distance d = 3.0 cm. Electrons are fired at vi = 5.0 ✕ 10⁶ m/s into a uniform electric field from the left edge of the lower, positive plate, aimed directly at the right edge of the upper, negative plate. Therefore, if there is no electric field between the plates, the electrons will follow the broken line in the figure. With an electric field existing between the plates, the electrons will follow a curved path, bending downward.

(a) Determine the range of angles (in degrees) over which the electron can leave the apparatus.

(b) Determine the electric field (in N/C) required to give the maximum possible deviation angle. (Enter the magnitude.) N/C

byzantiumreindeer682

The measure of oneâs ability to perceive spatial differencesbetween objects is termed visual acuity. For this problem, assumethe center-to-center cone spacing in the human fovea is 2.5 Âµm, andthat the focal length of the eye is 24.3 mm (the distance from thefront of the eye to the retina).

(a) If the criterion for the eye to distinguish between two pointobjects in space is that there must be one unstimulated cone lyingbetween the two cones stimulated by the light from the pointobjects, what is the acuity of the eye in arc-minutes?

(b) Measurements have shown that an emmetropic eye has about 1arc-min of visual
acuity. Does this agree with the result you computed in part (a)?If not, give some
reasons why this might be.

(c) Imagine that you are designing a freeway traffic sign. Theletters should be clearly
readable by a person with normal vision from a quarter-mile away.What is the
smallest linewidth that the letters can have?

(d) During a long drive to Las Vegas, Patrick is sitting in thefront passenger seat, trying to read the reversed numbers on thefront license plate of the car behind him by viewing them throughthe passenger-side rear-view mirror, which reads, âObjects in themirror are closer than they appear.â Patrick is famous for hisknowledge of trivial facts, so he happens to know that a commonfocal length for these mirrors is 1350 mm in magnitude and that thelinewidth of the numbers on a license plate is 9 mm. If the car isapproaching from behind and one lane to the right, at what distancecan he start to clearly read the numbers on the license plate?

Please refrane from answering if you are unfamiliar with MSExcel and inputing formulas for Cells. Thanks.

NOTE, you may need to save images to desktop to view in a largerscale.

Part b: Collision in Two-Dimensions

The law of conservation of momentum is true for any and everydirection. So, for an isolated system, the momentum in the x, y andz directions or any other direction does not change.

Consider two objects colliding in deep space. Since the two objectstogether can be considered an isolated system, the total momentumof the system (the sum of the momenta of the two objects) isconserved in both the x and y directions. That is

pi-x-total=pf-x-total or pix1+pix2=pfx1+pfx2

pi-y-total=pf-y-total or piy1+piy2=pfy1+pfy2

If we assume object one is moving in the x-direction, object two ismoving in the y-direction and the collision is perfectlyinelastic,
we can rewrite these equations as

m1*vix1=(m1+m2)vfx

m2*viy2=(m1+m2)vfy

These equations can be solved to find the x and y components of theobject's velocity after the collision. The magnitude of vf can befound using the Pythagorean Theorem. The direction of the objectsafter the collision can be found using the inverse cosinefunction

Î¸=cos-1(vfx/|vf|)

Since cos-1 outputs an angle between 0 and Ï radians, we must useÎ¸new=2Ï-Î¸old if vfy is negative to get a correct value. Use thebuilt in function 'if' to find the true value of Î¸. Afterwards,convert the angle into degrees using the built in function'degrees' .

i) Fill in the missing values in the table on the bottom usingformulas to find each value