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3 years ago

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In a region of space where gravitational forces can be neglected, a sphere is accelerated by a uniform light beam of intensity 8

.0 mW/m^2. The sphere is totally absorbing and has a radius of 1.0 microns and a uniform density of 4500.0 kg/m^3. What is the magnitude of the sphere's acceleration (in m/s^2) due to the light?A. 5.0x10^-26B. 4.4x10^-9C. 1.5*10^-9D. 9.8x10^-8E. 3.0x10^-15

1 answer:

BlackZzzverrR [31]3 years ago

4 0

Answer:

The correct answer is B

Explanation:

To calculate the acceleration we must use Newton's second law

F = m a

a = F / m

To calculate the force we use the defined pressure and the radiation pressure for an absorbent surface

P = I / c absorbent surface

P = F / A

F / A = I / c

F = I A / c

The area of area of a circle is

A = π r²

We replace

F = I π r² / c

Let's calculate

F = 8.0 10⁻³ π (1.0 10⁻⁶)²/3 10⁸

F = 8.375 10⁻²³ N

Density is

ρ = m / V

m = ρ V

m = ρ (4/3 π r³)

m = 4500 (4/3 π (1 10⁻⁶)³)

m = 1,885 10⁻¹⁴ kg

Let's calculate the acceleration

a = 8.375 10⁻²³ / 1.885 10⁻¹⁴

a = 4.44 10⁻⁹ m/s² absorbent surface

The correct answer is B

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D) Water has a high heat capacity.

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3 years ago

Rank these temperatures from hottest to coldest: 32° F,32° C, and 32 K 320 F> 32° C>32 K 32°C 32° F 32 K 32° F 32 K 32° c

Leviafan [203]

Answer:

32 C > 32 F > 32 K

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3 years ago

On the way home from school, Taylor's car runs out of gas. He has to walk 25m north and 10m west in order to reach the nearest g

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Answer:

<em>The distance is 35 m and the magnitude of the displacement is 26.93 m</em>

Explanation:

<u>Displacement and Distance</u>

These are two related concepts. A moving object constantly travels for some distance at defined periods of time. The total distance is the sum of each individual distance the object traveled. It can be written as:

dtotal=d1+d2+d3+...+dn

This sum is calculated independently of the direction the object moves.

The displacement only takes into consideration the initial and final positions of the object. The displacement, unlike distance, is a vectorial magnitude and can even have magnitude zero if the object starts and ends the movement at the same point.

Taylor walks 25 m north and 10 m west. The total distance is the sum of both numbers:

d = 25 m + 10 m = 35 m

To calculate the displacement, we need to know the final position with respect to the initial position. If we set the coordinates of Taylor's car as the origin (0,0), then his final position is (-10,25), assuming the west direction is negative and the north direction is positive.

The magnitude of the displacement is the distance from (0,0) to (-10,25):

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The distance is 35 m and the magnitude of the displacement is 26.93 m

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3 years ago

A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide suffi

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The image of the water tower and the houses is in the attachment.

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The pressure is calculated as: P = hρg

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3 years ago