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3 years ago

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The highest occupiable floor of any building is in the Sears Tower in Chicago. The elevators of the central tower of the buildin

g lift passengers 436.0 m above street level. If a continuous forces of 22310 N is exerted on one of these elevator cars as it travels from the ground to the top floor, how much work is done on the elevator car by the elevator's lifting mechanism?

1 answer:

irina1246 [14]3 years ago

3 0

Answer:

9727160J

Explanation:

Given parameters:

Height of elevator rise = 436m

Force exerted = 22310N

Unknown:

Work done by the elevator lifting mechanism = ?

Solution:

The work done by a body is the force applied to move a body in a specific direction;

Work done = force x distance moved

In this case, the force and distance moved is provided already;

Work done = 22310 x 436 = 9727160J

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The mass M1 is 7.8 kg

Explanation:

Block M1 is hanging on the string while block M2 is on the frictionless ramp.

We have to write the equations of motion for the two blocks.

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$M_1 g - T = M_1 a$

where

$M_1$ is the mass of the block

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$a$ is the acceleration of the system

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$T-M_2 g sin \theta = M_2 a$

where

$M_2 = 13.5 kg$ is the mass of the 2nd block

$\theta=35.5^{\circ}$ is the angle of the ramp

In order for the two blocks to be in equilibrium, the acceleration must be zero:

$a=0$

So the two equations become:

$M_1 g - T=0\\T-M_2 g sin \theta = 0$

Isolating T from the 1st equation,

$T=M_1 g$

And substituting into the 2nd equation, we can find the value of the mass $M_1$ :

$M_1 g - M_2 g sin \theta = 0\\M_1 = M_2 sin \theta = (13.5)(sin 35.5^{\circ})=7.8 kg$

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3 years ago

A light source radiates 60.0 W of single-wavelength sinusoidal light uniformly in all directions. What is the amplitude of the m

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To solve this problem it is necessary to take into account the concepts of Intensity as a function of Power and the definition of magnetic field.

The intensity depending on the power is defined as

$I = \frac{P}{4\pi r^2},$

Where

P = Power

r = Radius

Replacing the values that we have,

$I = \frac{60}{(4*\pi (0.7)^2)}$

$I = 9.75 Watt/m^2$

The definition of intensity tells us that,

$I = \frac{1}{2}\frac{B_o^2 c}{\mu}$

Where,

$B_0 =$ Magnetic field

$\mu =$ Permeability constant

c = Speed velocity

Then replacing with our values we have,

$9.75 = \frac{Bo^2 (3*10^8)}{(4\pi*10^{-7})}$

Re-arrange to find the magnetic Field B_0

$B_o = 2.86*10^{-7} T$

Therefore the amplitude of the magnetic field of this light is $B_o = 2.86*10^{-7} T$

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Our eyes can see light with an angular resolution of about 1’—equivalent to about a third of a millimeter at arm’s length. Suppo

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Answer:

We would not be able to make our way around the earth's surface, to read, to sculpt or to create technology because we cannot see!

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The minimum angular separation that can be distinguished by an eye gives the angular resolution of the eye.

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This resolution is very much greater than that of the eye $(1')$

The angular resolution that our eyes can see is about $\frac{1}{3}mm$ at arms length

Angular resolution of infrared = $\frac{1}{3} * 60 = 20mm$ at arms length

We therefore cannot read, sculpt or create technology because we cannot see.

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Newton's Second Law would probably best describe this.
F = ma
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Here is your answer

C. towards the floor

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3 years ago

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