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gregori [183]
3 years ago
11

By what angle should the second polarized sheet be rotated relative to the first to reduce the transmitted intensity to one-half

the intensity that was transmitted through both polarizing sheets when aligned
Physics
1 answer:
algol [13]3 years ago
6 0

Answer:

   θ  = 45º

Explanation:

The light that falls on the second polarized is polarized, therefore it is governed by the law of Maluz

              I = I₀ cos² θ

in the problem they ask us

            I = ½ I₀

let's look for the angles

             ½ I₀ = I₀ cos² θ

             cos θ  = √ ½ = 0.707

            θ  = cos 0.707

           θ  = 45º

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The movement direction of the resulting 55 g blob of clay 45o north of east  and the speed of the resulting 55 g blob of clay is 1.8 m/s.

Calculation:-

Let us consider the east direction as the positive X-direction and the north direction as the positive Y-direction.

Mass of the first ball of clay = m1 = 20 g = 0.02 kg

Mass of the second ball of clay = m2 = 35 g = 0.035 kg

Initial velocity of the first ball of clay = V1 = 3.5 m/s  to the east

Initial velocity of the second ball of clay = V2 = 2 m/s  to the north

Final velocity of the blob of clay = V3

X-component of the final velocity of the blob of clay = V3x

Y-component of the final velocity of the blob of clay = V3y

By conservation of linear momentum in the X-direction,

m1V1 = (m1 + m2)V3x

(0.02)(3.5) = (0.02 + 0.035)V3x

V3x = 1.273 m/s

By conservation of linear momentum in the Y-direction,

m2V2 = (m1 + m2)V3y

(0.035)(2) = (0.02 + 0.035)V3y

V3y = 1.273 m/s

V3 = 1.8 m/s

A) Movement direction of the resulting 55 g blob of clay = 45o north of east

B) Speed of the resulting 55 g blob of clay = 1.8 m/s

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A side of any triangle is less than the sum of the other two sides so the third side must be less than 24cm.

<h3>What is a triangle?</h3>

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

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If the third side is equal to the sum of two sides then it will be a straight line rather than a triangle.

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