A 1.6-lb collar is attached to a spring and slides without friction along a circular rod in a vertical plane. The spring has an unstretched length of 6 in. The collar is released from being held at A, and it passes ponit B with a speed of 16.0 ft/s. Determine the spring constant. The circular rod is kept from moving.

Answer:

a) the final velocity is 35.75 ft/s

b) The final elevation is 45 ft

Explanation:

Given the data in the question;

Weight of object; W = 100 lbf

Change in kinetic energy; ΔE = 500 ft-lb

so

[tex]\frac{1}{2}[/tex]m[tex]v_i^2[/tex] - [tex]\frac{1}{2}[/tex]m[tex]v_f^2[/tex] = ΔE

[tex]\frac{1}{2}[/tex]m[tex]v_i^2[/tex] - [tex]\frac{1}{2}[/tex]m[tex]v_f^2[/tex] = 500

multiply both sides by 2

m[tex]v_i^2[/tex] - m[tex]v_f^2[/tex] = 1000

m( [tex]v_i^2[/tex] - [tex]v_f^2[/tex] ) = 1000

[tex]v_i^2[/tex] - [tex]v_f^2[/tex] = 1000/m

[tex]v_i^2[/tex] - [tex]v_f^2[/tex] = (1000)(g) / W

we know that, acceleration due to gravity g = 9.8 m/s² = 32.18 ft/s²

so we substitute

[tex]v_i^2[/tex] - [tex]v_f^2[/tex] = (1000)(32.18) / 100

[tex]v_i^2[/tex] - [tex]v_f^2[/tex] = (1000)(32.18) / 100

[tex]v_i^2[/tex] - [tex]v_f^2[/tex] = 32180 / 100

[tex]v_i^2[/tex] - [tex]v_f^2[/tex] = 321.8

since The initial velocity [tex]v_i[/tex] is given to be 40 ft/s;

(40)² - [tex]v_f^2[/tex] = 321.8

1600 - [tex]v_f^2[/tex] = 321.8

[tex]v_f^2[/tex] = 1600 - 321.8

[tex]v_f^2[/tex] = 1278.2

[tex]v_f[/tex] = √1278.2

[tex]v_f[/tex] = 35.75 ft/s

Therefore, the final velocity is 35.75 ft/s

b)

we know that;

change in potential energy is;

ΔP.E = mg( h[tex]_f[/tex] - h[tex]_i[/tex] )

given that; increase in potential energy; ΔP.E = 1500 ft-lbf

and mg = Weight = 100 lbf

we substitute

1500  = 100( h[tex]_f[/tex] - h[tex]_i[/tex] )

h[tex]_f[/tex] - h[tex]_i[/tex] = 1500 / 100

h[tex]_f[/tex] - h[tex]_i[/tex] = 15 ft

given that, elevation of the object; h[tex]_i[/tex] = 30 ft

h[tex]_f[/tex] - 30 ft = 15 ft

h[tex]_f[/tex] = 15 ft + 30 ft

h[tex]_f[/tex] = 45 ft

Therefore, The final elevation is 45 ft

Answer: [tex]0.43\ rad/s[/tex]

Explanation:

Given

Mass of child [tex]m=34\ kg[/tex]

speed of child is [tex]v=2.8\ m/s[/tex]

Moment of inertia of merry go round is [tex]I=510\ kg.m^2[/tex]

radius [tex]r=2.31\ m[/tex]

Conserving the angular momentum

[tex]\Rightarrow mvr=I\omega \\\Rightarrow 34\times 2.8\times 2.31=510\times \omega\\\\\Rightarrow \omega=\dfrac{219.912}{510}\\\Rightarrow \omega=0.43\ rad/s[/tex]

Answer:

Explanation:

E₀ = 229.1 V/m

E = E₀ / √2 = 229.1 / 1.414 = 162 V/m

B =  E / c  ( c is velocity of em waves )

=   162 / (3 x 10⁸)  = 54 x 10⁻⁸ T

rate of energy flow =  ( E x B )  / μ₀

= 162 x 54 x 10⁻⁸ / 4π x 10⁻⁷

= 69.65 W per m².

Answer:

soluble

Explanation:

Answer:

-0.25

Explanation:

Explanation:

G. gamma rays because they are produced by the hottest and most energetic objects in the universe, such as neutron stars and pulsars, supernova explosions, and regions around black holes.

hope this helps you

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Answer:

Relative density, or specific gravity, is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material.

Explanation:

Answer:

The answer is E., or "Plate Boundaries".

The word best describes the definition of the location of volcanoes is "plate boundaries". Therefore, option (E) is correct.

The lithosphere is broken into tectonic plates that undergo some large motions and the boundary regions between plates are called plate boundaries. Based on their motions there are three kinds of plate boundaries: divergent, convergent, and transform.

Divergent boundaries are moving away from one another and separate, they form a rift. As the gap widens, the underlying layer may be soft for molten lava underneath to push upward and resulting in the formation of volcanic islands.

Convergent boundaries move towards one another and collide, subduction usually takes place. The denser plate goes underneath the less dense one and the plate boundaries also experience buckling.

Transform boundaries slide alongside one another and are exposed to huge amounts of stress and strain and are momentarily held in place. The two plates succeed in moving with respect to one another and cause earthquakes.

Learn more about plate boundaries, here:

https://brainly.com/question/18256552

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Answer:

The correct option is (b).

Explanation:

Given that,

Electric field, [tex]E=2\times 10^2\ N/C[/tex]

We need to find the magnitude of the force on the electron as a result of the electric field.

We know that, the electric force is given by :

[tex]F=qE\\\\=1.6\times 10^{-19}\times 2\times 10^2\\\\F=3.2\times 10^{-17}\ N[/tex]

So, the required force on the electron is equal to [tex]3.2\times 10^{-17}\ N[/tex].

Answer:

Ohms

Explanation:

The unit of resistance is ohms.

Answer:

It defines a criterion that evaluates to true or false and specifies actions to take if it is true.

Explanation:

EDGE2020

Answer:

D

Explanation:

Thr wave of sound that makes the truck is vibration

Renewable resources:

A renewable resource is one that can be used repeatedly and does not run out because it is naturally replaced.

Nonrenewable resource:

A nonrenewable resource is a natural substance that is not replenished with the speed at which it is consumed. It is a finite resource.

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Answer:

Explanation:

Renewable energy is useful energy that is collected from renewable resources, which are naturally replenished on a human timescale. A non-renewable resource is a natural resource that cannot be readily replaced by natural means at a pace quick enough to keep up with consumption.

Answer:

The cycle that moves carbon from one part of the Earth to another is called the carbon cycle.

Explanation:

     The carbon cycle describes the process in which carbon atoms continually travel from the atmosphere to the Earth and then back into the atmosphere. Since our planet and its atmosphere form a closed environment, the amount of carbon in this system does not change. Where the carbon is located — in the atmosphere or on Earth — is constantly in flux.

     On Earth, most carbon is stored in rocks and sediments, while the rest is located in the ocean, atmosphere, and in living organisms. These are the reservoirs, or sinks, through which carbon cycles. Carbon is released back into the atmosphere when organisms die, volcanoes erupt, fires blaze, fossil fuels are burned, and through a variety of other mechanisms. In the case of the ocean, carbon is continually exchanged between the ocean’s surface waters and the atmosphere, or is stored for long periods of time in the ocean depths.

     Humans play a major role in the carbon cycle through activities such as the burning of fossil fuels or land development. As a result, the amount of carbon dioxide in the atmosphere is rapidly rising; it is already considerably greater than at any time in the last 800,000 years.

Answer:

C

Im not totally sure but that's what my science teacher taught me sorry if is wrong

Answer:

meaning i dont know sorry

Answer:

Kinetic energy is energy possessed by a body by virtue of its movement. Potential energy is the energy possessed by a body by virtue of its position or state. While kinetic energy of an object is relative to the state of other objects in its environment, potential energy is completely independent of its environment. Hence the acceleration of an object is not evident in the movement of one object, where other objects in the same environment are also in motion. For example, a bullet whizzing past a person who is standing possesses kinetic energy, but the bullet has no kinetic energy with respect to a train moving alongside.

I think this answer is helped you

Answer:

the what state does alduos is 500 stack of ml tayo the little man ♂️ jajao

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Answer:

h = 105.98 m

Explanation:

We will use the third equation of motion here:

[tex]2gh= v_f^2-v_i^2[/tex]

where,

g = acceleration due to gravity = 9.81 m/s²

h = height = ?

vf = final speed = (102 mi/h)(1 h/3600 s)(1609.34 m/1 mi) = 45.6 m/s

vi = initial speed = 0 m/s

Therefore,

[tex]2(9.81\ m/s^2)h = (45.6\ m/s)^2-(0\ m/s)^2\\\\h = \frac{ (45.6\ m/s)^2}{2(9.81\ m/s^2)}[/tex]

h = 105.98 m

Answer:

Wavelength of the light = 3.09 meter

Explanation:

Given:

Distance between slits and the screen = 1.1 meter

Distance between slits = 0.1 mm

First-order bright fringe = 3.40 cm from centerline

Find:

Wavelength of the light

Computation:

Distance between slits = 0.1 mm

Distance between slits = 0.0001 meter

First-order bright fringe = 3.40 cm from centerline = 0.034 meter

Wavelength of the light = [(Distance between slits)(First-order bright fringe)]/Distance between slits and the screen

Wavelength of the light = [(0.0001)(0.034)] / 1.1

Wavelength of the light = [(0.0001)(0.034)] / 1.1

Wavelength of the light = 3.09 meter

Answer:

the magnitude of the magnetic field of the wave is 16.7 nT

Explanation:

Given the data in the question;

Electric field E = 5.00 V/m

we know that the expression for the electric field of an electromagnetic wave in terms if magnetic field is;

E = cB

where c is the speed of light ( 3 × 10⁸ m/s )

and B is the magnetic field

so we solve for the magnetic field

B = E / c

we substitute in the value of E and c

B = (5.00 V/m) / (3 × 10⁸ m/s)

B = 1.67 × 10⁻⁸ T

B = 1.67 × 10⁻⁸ T [tex]( \frac{1nT}{10^{-9}T} )[/tex]

B = 16.7 nT

Therefore, the magnitude of the magnetic field of the wave is 16.7 nT

Answer:

D

Explanation:

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Answer: The focal length of the cornea-lens system in his eye must be LESS THAN the distance between the front and back of his eye.

Explanation:

The human eye the front part of the eye is the CORNEA. This is the tough white transparent part of the eye that helps in the refraction of light rays. While the backside of the eye is the RETINA. This is the part of the eye when images are focused.

When a normal eye is at rest, parallel rays from a distant object are focused on the retina. The ability of the eye - lens to focus points at different distances on the retina is known as accomodation. The adjustment of the eye lens to focus objects of varying distances is brought about by the ciliary muscles. The have the ability to change the shape of the eye which leads to change in focal length.

When a person with normal vision looks at a distant object at infinity, the lens brings parallel rays to focus on the retina. Thus, the furthest point which the eye can see distinctly is called the far point of the eye and it's infinity for a normal eye. But Joe was able to focus his eye on the tree, meaning that the tree was within his near point. This is the nearest point at which an object is clearly seen. Therefore, when the effective focal length of the cornea-lens system changes, it changes the location of the image of any object in one's field of view.

Answer:

The alignment of the sun, earth, and moon being in a straight line causes very low and extra-high, low and high tides respectively due to the additive effect of the solar tide on the lunar tide.

Explanation:

Tides can be defined as the rise and fall of water level in water bodies such as lakes and oceans due to the gravitational force of attraction exerted by the moon on earth. The side closest to the moon creates a bulge of water known as high tide. Low tides are generally experienced when a sea level is not within the bulge.

Generally, the gravitational pull of the Moon cause visible changes on planet Earth's surface.

This ultimately implies that, the pull of the Moon's gravity causes high and low tides on planet Earth's surface.

The various types of ocean tides based on the position of the Earth, Moon and the Sun are;

I. Neap tides.

II. Spring tides.

III. Low tide.

IV. High tide.

V. Brown tide.

VI. Rip tide.

VII. Red tide.

Generally, the alignment of the sun, earth, and moon being in a straight line causes very low and extra-high, low and high tides respectively due to the additive effect of the solar tide on the lunar tide. Thus, this alignment of the sun, earth, and moon being in a straight line gives rise to spring tides.

you multiply 15cm by 750 mmhg

Answer:

a. True

Explanation:

When a p-type semiconductor is placed adjacent to an n-type semiconductor  the common plane thus formed is termed as P-N Junction or  P-N Junction Diode.

The diode is formed by melting both p-type and n-type semiconductors through a special manufacturing process called "Thermo-Compression Proces".

The P-N junction has a property of one-way conduction. It means it only allows the current to pass through it in one direction and the current flow is practically zero in the other direction. Thus, it can act as a diode. The p-side acts as the anode, while the n-side acts as the cathode.

Hence, the correct option is:

a. True

Answer:

Gravity

gravity pulled the gasses together over long period of time

Answer:

True

Explanation:

just cuz

Answer: Liquid 2, if it's 3 g/mL and liquid 2 has 6gs and 2 mLs than it's 3g/mL