What correctly describes mechanical advantage

A fish swimming in a horizontal plane has velocity i = (4.00 î + 1.00 ĵ) m/s at a point in the ocean where the position relative

Liula [17]

Question is missing. Found on google:

a) What are the components of the acceleration of the fish?

(b) What is the direction of its acceleration with respect to unit vector î?

(c) If the fish maintains constant acceleration, where is it at t = 30.0 s?

(a) $(0.73, -0.47) m/s^2$

The initial velocity of the fish is

$u=(4.00 i + 1.00 j) m/s$

while the final velocity is

$v=(15.0 i - 6.00 j) m/s$

Initial and final velocity are related by the following suvat equation:

$v=u+at$

where

a is the acceleration

t is the time

The time in this case is t = 15.0 s, so we can use the previous equation to find the acceleration, separating the components:

$v_x = u_x + a_x t\\a_x = \frac{v_x-u_x}{t}=\frac{15.0-4.00}{15.0}=0.73 m/s^2$

$v_y = u_y + a_y t\\a_y = \frac{v_y-u_y}{t}=\frac{-6.00-1.00}{15.0}=-0.47 m/s^2$

(b) $-32.8^{\circ}$

The direction of the acceleration vector with respect to i can be found by using the formula

$\theta = tan^{-1}(\frac{a_y}{a_x})$

where

$a_x$ is the horizontal component of the acceleration

$a_y$ is the vertical component of the acceleration

From part a), we have

$a_x = 0.73 m/s^2$

$a_y = -0.47 m/s^2$

Substituting,

$\theta = tan^{-1}(\frac{-0.47}{0.73})=-32.8^{\circ}$

(c) $r=(460.5 i - 185.1 j )m$

The initial position of the fish is

$r_0 = (12.0 i -3.60 j) m$

The generic position r at time t is given by

$r= r_0 + ut + \frac{1}{2}at^2$

where

$u=(4.00 i + 1.00 j) m/s$ is the initial velocity

$a=(0.73 i -0.47 j) m/s^2$ is the acceleration

Substituting t = 30.0 s, we find the final position of the fish. Separating each component:

$r_x =12.0 + (4.00)(30) + \frac{1}{2}(0.73)(30)^2=460.5 m\\r_y = -3.60 + (1.00)(30) + \frac{1}{2}(-0.47)(30)^2=-185.1 m$

So the final position is

$r=(460.5 i - 185.1 j )m$

4 0

3 years ago

Which type of reaction does this diagram represent?

Ugo [173]

The diagram represents a chain reaction that is caused by nuclear fission.

<h3>What is a nuclear fission reaction?</h3>

A nuclear fission reaction is a reaction in which the nucleus of a larger atom is split into two or more smaller nucleus of atoms.

Nuclear fission can proceed in the form of a chain reaction in which the products of the first fission reaction are used to initiate further fission reactions.

Therefore, the diagram represents a chain reaction that is caused by nuclear fission.

Learn more about nuclear fission at: brainly.com/question/22155336

#SPJ1

4 0

2 years ago

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The only drawback to solar energy is that it

MA_775_DIABLO [31]

It is to highly priced for most of civilization.

3 0

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Which statement is true about the speed of heat transfer by conduction?

antiseptic1488 [7]

Answer:

Conduction is fastest in solid

Explanation:

A basic property of conduction is that for heat to transfer there must be contact. From kinetic theory, configuration of solid is such that the molecules are held together and they move or vibrate about their mean position. Because of this arrangement heat transfer by conduction is faster in solid that any other state of matter

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Which hormone is released in response to daily variations in light and tends to rise as night falls, peaks at midnight, and fall

hram777 [196]

Melatonin is a hormone being produced by small gland in the brain called pineal gland that helps control sleep and wake cycles. It is also called the sleep hormone because it gives signal that it’s time to sleep. People also used this hormone to adjust the body’s internal clock. It is the hormone that released in response to exposure to sunlight. When the sun sets and night falls, the pineal is activated and begins to vigorously produce melatonin. The amount of melatonin tends to rise as night falls, peaks at midnight, and falls again as the sun rises. It means that it produced more when darker and when the lighter it is; the less melatonin is produced.

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4 years ago