the driver of the car maintains a constant speed of 20 m/s . determine the angular velocity of the camera tracking the car when θ

Answer:

The mass of air in the room is 91.68 kg.

Explanation:

In order to find the mass of air in the room, given that the volume of the air is 76.4 m³ and its density is 1.2 kg/m³, we can use the following formula:

[tex]\boxed{\mathrm {Mass = Density \times Volume}}[/tex]

Substituting the given values into the equation, we get:

[tex]\mathrm{Mass = 1.2 \: kg/m^3 \times 76.4 \: m^3}[/tex]

        [tex]= \bf 91.68 \: \mathrm{\bf kg}[/tex]

We have that this is an exercise on the density of liquids and gases.

We have that your data is:

To calculate the mass. We multiply the density by the volume. Therefore, we apply the following formula:

m = d·v

We substitute our data in the formula and solve

m = (1.2 kg/m³)·(76.4 m³)

m = 91.7 kg

Therefore, the mass of air in the room is 91.7 kg.

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The amount of work needed to extend the spring another 10 centimeters is 176774150.

[tex]\begin{aligned}F &=k x \\2000 &=k \times 10 \\k &=200 \text { dyne } / \mathrm{cm}\end{aligned}[/tex]

  [tex]\begin{aligned}W=\int_{10}^{20} k x d x &=\left[\frac{1}{2} k x^2\right]_{10}^{20} \\&=\frac{1}{2} x^{200}\left[20^2-10^2\right] \\&=30000]_{\text {ergs }}\end{aligned}[/tex]

volume of the components:

[tex]\begin{aligned}d v \Rightarrow \pi r^2 d h & \Rightarrow \pi 20^{2} dh\\d v & \Rightarrow 400 \pi d h \\\text { mass } \Rightarrow d m=e d v &=62.5 \times 400 \pi d h \\&=25000 \pi d h\end{aligned}[/tex]

Pumping it to the pool's top requires work

[tex]\begin{aligned}d w &=d m g(10-h)\\d w &=25000 \pi g(10-h) d h \\w &=\int_0^{10} 25000 \pi g(10-h) d h \\w &=\int_0^{10} 25000 \times 3.14 \times 32.17(10-h) d h \\&=2525945\left(10 h-\frac{h^2}{2}\right)_0^{10} \\&=2525345 \times 50 \\&=126267250 \quad \text { foot } \quad \text { pound }\end{aligned}[/tex]

work is necessary to pump 2 feet above: (10+2=12)

[tex]\begin{aligned}w &=2525345\left(12^h-\frac{h^2}{2}\right) \\&=176774150\end{aligned}$$[/tex]

Hence, the amount of work needed to extend the spring another 10 centimeters is 176774150.

The transfer of energy from one thing to another is referred to as doing work when two objects are involved in a physics experiment.

As a capacity for work, energy is another definition. When an object is moved in a direction parallel to the direction of the force, this is referred to as doing work.

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12000J is the amount of work required to stretch the spring an additional 10 centimeters.

Work is the energy that is moved to or from an item by applying force along a displacement in physics. It is frequently modeled as the result of force and displacement in its most basic form. When a force is applied, it is said to have a component that points in the direction of the displacement of the application point. When a force at its application point contains a component that points in the opposite direction of the displacement, it is said to be doing negative work.

According to the question:

force on a soring, f = k×Δd

from the equation, k = 120

Force required to stretch an additional 10cm f' = 120×10

                                                                             =1200

Work done to stretch the spring, w= 1200*10 = 12000J

Hence, the work done to stretch the spring is 12000J.

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A(n) line of sight option for WiMAX is one in which a fixed-dish antenna points at the WiMAX tower from a rooftop or pole

There are two components to a WiMAX system:

A WiMAX tower, which functions similarly to a cell phone tower, A single WiMAX tower can cover an area as vast as 3,000 square miles (8,000 square kilometers), or very nearly that.

A WiMAX receiver could be a tiny box, PCMCIA card, or they could be integrated into a laptop like WiFi access is currently.

WiMAX tower stations can establish direct wired connections with high bandwidth to the Internet. It can also establish a line-of-sight microwave link with another WiMAX tower. WiMAX is able to give coverage to remote rural regions thanks to this link to a second tower (commonly referred to as a backhaul) and a single tower's capacity to cover up to 3,000 square miles.

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Answer:

Yes

Explanation:

For an object in orbit,

Centripetal force = Gravitational force

mv^2/r = GMm/r^2

v = [tex]\sqrt{GM/r[/tex]

Thus, as long as you get the velocity of the cannonball to be as fast or faster than the value of v above, assuming the effects of air resistance is negligible, then you will get an orbiting cannonball

Answer:

Neutron

Explanation:

A neutron is very slightly heavier then a proton while electrons basically almost have no mass.So it is safe to say that protons and neutrons approximately have the same mass.

Answer:

I'm not sure

Explanation:

the balls instantaneous velocity increases

On calculation, the Average speed of the swimmer = 1 m/s and the average velocity = 0 m/s for the swimmer

Average speed = total distance / total time= (50+50)/100 = 1m/s

Average velocity = total displacement / total time = 0/100 = 0 m/s

The overall distance that an object covers in a given amount of time is its average speed. A scalar value represents the average speed. This average speed has no direction and is indicated by its magnitude.

The formula for an object’s general speed average is [Average Speed = Total Distance Traveled Total Time Taken]. M/s is considered as the SI unit for average speed.

Average speed is determined by dividing the total distance you travelled by the total time, whereas average velocity is determined by dividing your displacement (a vector pointing from your initial position to your end position) by the whole time.

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The new position of the sailboat is 57 m northeast. hence option 3 is correct.

The right-angled triangle's hypotenuse's square length is equal to the sum of the squares of the lengths of the other two sides, according to the Pythagoras theorem, often known as the Pythagorean theorem. Alternatively, the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two legs.

Given that the boat sails 40 meters north, followed by 40 meters of straight eastward motion. The Pythagorean Theorem will be used to determine the new position.

P^2 = 40^2 + 40^2

P^2 = 1600 + 1600

P^2 = 3200

Square root of P (3200)

P = 56.6 m P = 57 m (approximately)

Consequently, the sailboat will now be 57 north east.

The complete question is- A sailboat on a lake sails 40. meters north and then sail 40. meters due east. Compared to its starting position, the new position of the sailboat is

(1) 40. m due east (3) 57 m northeast

(2) 40. m due north (4) 80. m northeast

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For the four forces to be balanced, thrust must be equal to drag, and lift must equal weight. When this happens we say the airplane is cruising.

The force that resists an aircraft's motion through the air is called drag. Every component of the aircraft produces drag, including the engines. A mechanical force is a drag. It is created when a solid body interacts with and contacts a fluid (liquid or gas). It is not produced by a force field in the sense of a gravitational field or an electromagnetic field, in which two objects can interact without coming into touch with one another.

The solid body needs to be in touch with the fluid for drag to be produced. There won't be any drag if there is no fluid. The velocity difference between a solid object and a fluid causes drag.

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Mars has a thin atmosphere unlike Venus hence their surface temperature varies despite both Mars and Venus having atmospheres with mostly Carbon Dioxide

Venus and Mars are the solar system's planets, and their temperatures differ. Mars has a thin atmosphere that cannot withstand much heat.

Mars is the fourth planet in the solar system, also known as the red planet . It contains less oxygen gas than carbon dioxide. It is has a thin atmosphere and is made up of various gases.

Unlike Venus, Mars' thin atmosphere cannot retain heat and instead radiates it back into space. Venus has a thick atmosphere. It traps heat and raises the surface temperature. Mars' atmospheric particles cannot store energy and thus vary in temperature.

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A truck that pulls a trailer with a frictional force of 870 n and a coefficient of friction of 0.23 has a normal force of 3782.6 N.

The force that is produced by any two surfaces while coming into contact and sliding against one another is referred to as frictional force.

The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest impact on these forces.

The imperfections present between the two surfaces in contact are what produce friction.

Even the smoothest surfaces include tiny abnormalities, and when two surfaces interact with one another, these irregularities cause friction. The friction increases as the imperfections get bigger.

Frictional force can be formulated as

F = uN

here N is the normal force.

⇒N = f/u = 870/0.23

⇒ N = 3782.6N

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The angle θ for connecting member a to the plate so that the resultant of f a fa and f b fb is directed along the positive x axis are:

Fa=8sin54.93 in x direction

Fb=6sin40 in x direction

Resultant=10.4

The term magnitude is defined as the “how much of a quantity”. For instance, magnitude can be used for explaining the comparison between the speeds of a car and a bicycle. It can also be used to explain distance travelled by an object or to explain the amount of an object in terms of its magnitude.

In Physics, magnitude is defined as maximum extent of the size and the direction of an object. Magnitude is used as a common factor in the vector and scalar quantities. By definition, we know that the scalar quantities are those quantities that have magnitude only. Whereas the vector quantities are those quantities that have both magnitude and direction.

There are the different ways in which magnitude can be used. Some of them are:

The magnitude of a number, unlike magnitude of a physical quantity, is not relative to a scale or set of units: the magnitude of 100 is 100. By contrast, magnitude of a ruler is 12 in inches but is 30.48 in centimeters. Outside of the pure mathematics one has to be careful to specify the units in which the magnitude of some quantity is measured.

Therefore magnitude of resultant is:

=[tex]\sqrt{8sin54+936sin40}[/tex]

=10.4

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The momentum =force X velocity if distance is more is the more momentum . so longer length need to be chosen that is 100cm

is a mathematical statement that combines a physical quantity and a distance. Momentum relate to physical quantities that are dispersed from the reference point and are often described with regard to a fixed reference point. The instant thus explains the position or arrangement of the quantity. For instance, the momentum of force, also known as torque, is the result of the force acting on an object and the item's distance from the reference point. In theory, a minute can be created by multiplying any physical quantity by a distance. Forces, masses, and electric charge distributions are often used units.

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Loss of traction between the rear wheels and road surfaces like ice, sand, or gravel results in oversteering.

Fishtailing is considered as a handling problem of a vehicle that occurs whenever traction is lost by the rear wheels which ends in oversteering. This can happen as a result of low friction surfaces including sand, gravel, rain, snow, and ice.

The traction loss of the rear tire can result in a state of oversteer. Whenever the rear tires do not have any grip on the surface of the road, steering a particular car will be having the effect of exaggerated results. Losing of rear wheel traction usually occurs at the time when the brake is applied while driving through a surface of a curved road.

In this case, a drop in the level of speed will be shifting weight into the front tires as it lessens the grip of the rear tire and which causes the rear end to swing out of the turn in opposite direction.

Oversteering is occurred by loss of traction between the rear wheels and road surfaces.

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Burns and shocks nerves are what electric shock does to the human body.

Option A

This is further explained below.

Generally, In order for an electric current to go through the body, nerves are a kind of tissue that presents extremely low resistance.

Pain, tingling, numbness, and trouble moving a limb are some of the symptoms that may result when nerves are damaged by an electric shock.

Other symptoms include difficulties moving a limb altogether. These effects could go away with time, but they might also remain permanently.

In conclusion, Electric shock causes the human body to burn and jolt its nerves.

Choice A

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7 m/s is the vertical speed. Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion.

Vertical airspeed is the speed at which an airplane rises or descends. Both of them differ from ground speed. The rate of descent, also known as the sink rate, which gauges how quickly the aircraft is sinking, is used to track the aircraft's rate of rise, or vertical airspeed. A projectile's horizontal motion is independent to its vertical motion, which varies by 9.8 m/s² every second.

If the initial velocity is u and the end velocity is v, then v² = u²+2gs

0= u² -2(9.8) (2.5)

u²= 5(9.8)

u²=10(4.9)

u²=49

u=7 m/s

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The correct answer is 12.11×10^4 N/c.

Given:

diameter of spheres d = 2.0cm

radius of the spheres r = d/2

                                   = 1cm

                                    = 1×10^-2 m

charge on sphere 1 q_1 = 89×10^-9 C

charge on sphere 2 q_2 = -69 × 10^-9 C

distance between the spheres d = 5.7×10^-2 m

midpoint                               p   = 2.85×10^-2 m

Electric field strength due to sphere1 at point p

total distance to point p =  (2.85×10^-2)+ 1×10^-2

                                    =3.85 ×10^-2 m

Electric field E1 = kq1/r^2.......(1)

                           = (9×10^9)(89×10^-9)/(3.85×10^-2)^2

                           = 54×10^4N/C

Electric field strength due to sphere 2 at point p

total distance to point p =  (2.85×10^-2)+ 1×10^-2

                                     = 3.85×10^-2 m

Electric field E2 = kq2/r^2.......(2)

                           = (9*10^9)(-69*10^-9)/(3.85*10^-2)^2

                           = -41.89×10^4 N/C

total electric field strength at point p E = E1+E2

=54×10^4N/C+(-41.89×10^4 N/c)

=12.11×10^4 N/c

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The density of solid crystalline molybdenum crystallized with a body-centered cubic unit cell is 9.59 g/cm³.

A kind of molybdenum disulfide, or MoS2, is called molybdenite. Molybdenite, which resembles graphite in both appearance and feel, has a lubricating effect as a result of its layered structure. A layer of molybdenum atoms is sandwiched between two sheets of sulphur atoms in the atomic structure. Although the Mo-S interactions are strong, there is no contact between the sulphur atoms at the top and bottom of the two sandwich-like tri-layers, which makes slippage and cleavage planes simple to form. Both the common polytype 2H of molybdenite and the 3R polytype of molybdenite form in the hexagonal crystal structure.

a = edge length = 4r/√3 = 4 * 139/√3 = 321.006pm

density d = 2m/a³NA = 2* 95.54/(321.006)³(NA)

= 5.776 * 10²³

= 5.776 * 10²⁴/ 6.023 * 10²³

= 9.59 g/ cm³

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The primary sound of a musical tone is frequency, which is determined by the length or size of the vibrating medium.

The number of times a repeated event occurs in a given amount of time is known as its frequency. The number of cycles or vibrations per unit of time is the definition of frequency for cyclical phenomena like oscillations, waves, or simple harmonic motion. It is also occasionally referred to as temporal frequency to emphasize the contrast to spatial frequency and ordinary frequency to emphasize the contrast to angular frequency. Hertz (Hz), which is equal to one (event) per second, are the units used to express frequency. The reciprocal of frequency, the period is the length of time occupied by one cycle in a repeating event.

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A 0.050 M solution of the weak acid HA has [H3O+] = 3.77 × 10-4 M. What is the Ka for the acid b) 2.8 x 10-6 m.

Buffering Techniques

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A buffer system is set up with [tex][H_a]=2[-a][/tex]. if [tex]p_{ka}=5.5[/tex], the pH of the buffer is 5.2.

What is a buffer system?

What are the 3 buffer systems in the body?

The body's chemical buffer system contains of three different buffers:

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0.05312 is the coefficient of thermal expansion for copper is16.6x10⁶(1/ºc).

α = coefficient of thermal expansion

l   = Temperature

Difference = 125 - 25 = 100°C .

α=16.6×10⁶×100×32=0.05312.

Hence, 0.05312 is the coefficient of thermal expansion for copper is 16.6x10⁶ (1/ºc).

Thermal expansion is the phenomenon of an object (such as metal) expanding or contracting due to a change in temperature. This can happen when you warm up or cool down an object, and it affects many things including liquids, solids, and gases.

This has important implications for architects and builders who must take into account thermal movement when designing structures that will with stand weather conditions such as wind and rain. Metal plates may warp or timber beams may pull apart due to thermal expansion. Architects can design structures that are more resilient to harm from natural forces by understanding thermal expansion.

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The velocity after two minutes is v = 616.67 m/s

Using the equation final velocity = beginning velocity + acceleration * time, the final velocity of this bus after two minutes is determined. Symbolically, v is represented as follows: vi = 60 km/h, a = 5 m/s2, and t = 2 minutes. First, we must translate 60 km/h into m/s. 50/3 m/s is equal to 60 km/h or 60,000 m/36 seconds.

When determining the final velocity, v

v = vi + a * t

120 seconds at v = 50/3 m/s + 5 m/s2

v = 50/3 m/s + 600 m/s

v = 16.67 m/s + 600 m/s

v = 616.67 m/s

After two minutes, the bus's speed is 616.67 m/s. For a bus, it is a pretty implausible velocity. The speed of this object is 2,220 km/h, exceeding the speeds of both air and jet aircraft. Your acceleration time should have been capped at 20 seconds or less.

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Answer:

circumference of circle = 2 π R

S (distance traveled) = 3/4 * 2 π R

S = .75 * 2 * π  5 = 23.55 m

The work done by the spring in kilojoules is 13.5 KJ.

Spring constant of the spring = 3 KN/cm

[tex] = 3 \times 10 ^{7} \: N/m[/tex]

Spring has been compressed to 3 cm.

So, the displacement covered by the spring = 3 cm

[tex] = \frac{3}{100} = 0.03 \: m[/tex]

Work done by the spring is,

[tex]Work \: done = \frac{1}{2} Spring \: constant × (Displacement ) ^{2} [/tex]

[tex]W = \frac{1}{2} Kx ^{2} [/tex]

[tex]W = \frac{1}{2} \times 3 \times 10 ^{7} \times (0.03) ^{2} [/tex]

[tex]W = 13500 \:Joules[/tex]

Thus, the work done by the spring is 13500 Joules.

Now, the work by the spring in kilojoules is,

[tex]1 \: Kilojoules =1000 \: Joules[/tex]

[tex]1 \: KJ = 1000 \: J[/tex]

[tex]1 \: J = \frac{1} {1000} \:K J[/tex]

[tex]13500 \: J = \frac{13500}{1000}[/tex]

[tex] = 13.5 \: KJ[/tex]

Therefore, the work done by the spring in kilojoules is 13.5 KJ.

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The temperature of r, k and c is, Thigh (°R)=529.67 °R, Thigh(K)= 294.26 K, Thigh(°C)=21.11 °C.

Write the equation to convert temperatures from °F to °R. T(°F)=T(°R)-459.67

T(°R)=T(°F)+459.67

Convert the low temperature from 42°F to °R.

Tlow (°R)= 42 + 459.67

Tlow (°R)= 501.67 °R

Convert the high temperature from 70°F to °R.

Thigh (°R) = 70+ 459.67

Thigh (°R)=529.67 °R

Write the equation to convert temperatures from or to K.

T(°R)=1.8T (K)

T(K)=T(°R)/1.8

Convert the low temperature from 501.67°R to K.

Tlow(K)= 501.67/1.8

Tlow (K) = 278.71 K

Convert the high temperature from 529.67°R to K.

Thigh(K)= 529.67/1.8

Thigh(K)= 294.26 K

Thermometers are used to measure the air's temperature. Common thermometers feature an extremely narrow tube inside of a glass rod. A reservoir, or "bulb," at the thermometer's base supplies liquid to the tube. The substance is either mercury or reddish alcohol depending on the situation.

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Answer:

H = 1/2 g t^2          time t for an object to fall a distance H

t = (2 H / g)^1/2 = (2 * 45 / 9.80)^1/2 = 3.03 sec for the key to fall 45 m

V = 12 m / 3.03 m/s = 3.96 m/s

Kepler's theory that magnetic forces between the sun and planets kept planets in orbital motion laid the foundation for sir Isaac Newton’s law of universal gravitation.

The orbits of planets aren't circles however oval-shaped curves referred to as ellipses. Kepler's First regulation: The orbits of planets are ellipses with the sun at one focus of the ellipse. Planets circulate in ellipses with the sun at one consciousness. The figure under illustrates two orbits with the identical semi-important axis, awareness and orbital duration.

The sun's gravity pulls the planets in orbit round it, and some planets pull moons in orbit round them. Even spacecraft are in movement thru the sun machine, either in orbit across the Earth or Moon, or visiting to similarly worlds, because of gravitational forces.

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