A cannonball is fired at an angle of 18.2° above the horizontal at a velocity of 74.3 m/s. What are the horizontal and vertical components of the velocity of the cannonball?



ANSWER: 70.6m/s horizontal 23.2m/s vertical

The  continental volcanic arc and a volcanic island arc different from each other  is An island volcanic arc forms in an ocean basin via ocean-ocean subduction.

The Aleutian Islands off the coast of Alaska and the Lesser Antilles south of Puerto Rico are examples.

A continental volcanic arc forms alongside the margin of a continent where oceanic crust subducts underneath continental crust.

An island arc and a volcanic arc are basically the same type of geological characteristic except for the reality that one is on land and the opposite is surrounded by the usage of water.

Plate tectonics drives the arrival of volcanic arcs. A denser oceanic plate collides with a more buoyant continental plate. The oceanic crusts’ density pulls it downward into the mantle wherein excessive warmness melts it.

The molten rock and volatiles (magma) then art work their way upwards often attaining the ground and erupting. The arc form is the floor trace of the area wherein the down

going plate is melting. it's far an arc because of the truth the earth is a spherical shape.

heaps of the Pacific rim, extensively Japan, Polynesia and the Aleutians are island arcs.

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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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People wouldn't be able to distinguish between differences in sound volume if the human ear couldn't detect variations in the amplitude of undulations.

What determines the amplitude of a sound?

The amplitude of a sound wave is the life of the peak of the wave. The amplitude of a sound wave is outlined because the loudness or the quantity of most displacement of moving particles of the medium from their mean position once the sound is produced.

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A Year on mercury is less than 40% as long as a year on earth.

According to Kepler's Third Law, the cubes of the semi-major axes of the orbits of the planets are directly proportional to the squares of the planets' orbital periods. According to Kepler's Third Law, as an orbiting planet's radius increases, so does the time of its orbit around the Sun. Thus, we learn that Mercury, the innermost planet, completes its orbit of the Sun in just 88 days. Saturn needs 10,759 days to complete the same task as the earth does in 365 days. Despite the fact that Kepler had no knowledge of gravitation at the time he developed his three laws, Isaac Newton used them to derive his theory of universal gravitation, which explains the mysterious force behind Kepler's Third Law.

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The generalization can be made about the climate of these two areas which are-

because water warms and cools more slowly than land, Palm Coast, Florida, has much less seasonal changes.

in step with a generalisation about the weather of these  locations, Palm Coast, Florida, has softer seasonal fluctuations than different components of the country because water warms and cools greater slowly than land.

what is Palm Coast, Florida?

normally speakme, Flagler County is wherein Palm Coast, Florida, is situated. In 2000, there had been 32,832 residents; as of the 2010 census, there had been seventy five,a hundred and eighty.

In conclusion, Palm Coast, Florida, has extra slow seasonal modifications than the alternative location due to the fact water warms and cools extra slowly than land.

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Answer:

The law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as system's mass cannot change, so quantity cannot be added nor removed. Hence, the quantity of mass is conserved over time

Explanation:

Only 0.0035% of entire electromagnetic spectrum is spanned by visible light.

We have Electromagnetic spectrum.

We have to determine what fraction of the entire electromagnetic spectrum is spanned by visible light.

The visible wavelengths cover a range from approximately 0.4 to 0.7 µm.

According to the question -

The visible spectrum forms a very small part almost equal to 0.0035% of the electromagnetic spectrum. In the visible spectrum, the longest visible wavelength is Red and the shortest visible wavelength is Violet. Refer to the image attached. From the image it is clear that the visible spectrum forms a very thin part of the entire spectrum.

Hence, only 0.0035% of entire electromagnetic spectrum is spanned by visible light.

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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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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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The satellite's geometric altitude at apogee is =388.9km

The given data are:-

a=6700 km

e=0.01

R(earth)=6378.14km

R(p)=Radius at perigee

R(a)=Radius at apogee

where R(p)=a(1-e)

=6700(1-0.01)

=6633km

Altitude at perigee=6633-6378.4

=254.9km

R(a)=a(1+e)

=6700(1+0.01)

=6767km

Altitude at apogee=6767-6378.14

=388.9km

The satellite's geometric altitude at apogee is 388.9km.

What is apogee?

An Earth-orbiting satellite has an apogee, that is its finest top above the planet, and a perigee, that is its lowest peak above the planet. How excessive above sea level is supposed with the aid of "above Earth" (which varies barely, so that is a super). What the satellite tv for pc is appearing determines what the height "must" be. about 22,000 miles above Earth, in geosynchronous orbit, are a large quantity of verbal exchange satellites. The reality that they orbit on the identical velocity because the Earth approach they may be continually above the identical spot on its surface, which is exceptionally beneficial.

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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 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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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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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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F2 = 106.1 lb directed towards left.

When two forces act on an object, the net force is always zero. To find the second force that would be required to produce a resultant force of 150.048 lb, 45° to the right of f1, you need to use Newton's Second Law: F2 = ma

Where F2 is the second resultant force and m is the mass of object A. Hence, F2 = 106.1 lb directed towards left.

Forces are objects or situations that cause an object to move. There are several different types of forces, including gravitational force, electromagnetic force, and the pressureForce.

Each has its own magnitude, which is the amount of energy required to cause a specified movement.

Gravitational Force is the weakest type of force and is caused by attractions between two masses. It's responsible for holding us down on Earth and governs how heavy things are relative to one another.

Electromagnetic Force is often considered the strongest type of force because it accounts for nearly all known physical interactions in nature.

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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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A 7.4 nc point charge and a - 2.1 nc point charge are 3.3 cm apart and the electric field strength at the midpoint between the two charges     3.14 × 10⁵ N/C.

To find the electric field strength, the given values are,

q1 = 7.4 nC = 7.4 × 10⁻⁹ C

q2 = - 2.1 nC = 2.1 × 10⁻⁹ C

Distance (d) = 3.3 cm apart

Substituting the given values,

At first, midpoint (r) = 3.3 / 2 = 1.65 cm = 1.65/100 =0.0165 m

The electric field strength at midpoint is given by:

E = k/r² ( q1 + q2)

K = 9.0 × 10⁹

Thus,

E = ((9 × 10⁹) / 0.0165²) × (7.4 × 10⁹ + 2.1 × 10⁹)

E = (3.3057851× 10¹³)  (9.5 × 10⁹)

E = 31.4049586 × 10¹³⁻⁹

E = 31.4049586  × 10⁴

E = 3.14 × 10⁵ N/C.

The Electric field strength can be found as 3.14 × 10⁵ 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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Answer:

I'm not sure

Explanation:

the balls instantaneous velocity increases

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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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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A decrease in the angle between the wires will increase the horizontal component of tension (the tension force is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides) and an increase in the angle will decrease the horizontal component of tension.

Tension is defined as force transmitted through a rope, string or wire when pulled by forces acting from opposite sides. The tension force is directed over length of the wire and pulls energy equally on the bodies at the ends.

Every physical object which is in the contact, exerts some force on one another. These contact forces are assigned names based on kind of objects. If one of the forces exerting an object is rope, cable or chain, we can call it tension.

Cables and Ropes can be used for exerting forces since they can efficiently transfer force over a specific distance (e.g. the rope length). Please note that tension is pulling force since ropes cannot push effectively. Pushing with a rope causes the rope to go slack and lose tension that allowed it to pull in the original place. This might seem obvious, but when it is about drawing forces acting on an object, some often draw the force of tension going in the wrong direction. Hence, tension can only pull the object.

In the almost every situation in classical mechanics, you will be presented with massless ropes and cables. When a rope is massless, it transfers force from one end to the other perfectly.

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The mass defect is 0.585942 amu.

the provided element is [tex]_{33} ^{65} As[/tex]

atomic number of As = 33

so no of protons = 33

mass number = Number of protons + Number of neutrons

so, no. of neutrons= 65 - 33 = 32

mass of 1 neutron = 1.008665amu

mass of 1 atom = 1.007825 amu= mass of proton

calculated mass = Number of protons*Mass of proton + Number of neutrons*Mass of neutron

= 33 x 1.007825 + 32 x 1.008665

=33.258225 + 32.27728

=65.535505 amu

Given mass = 64.949563 amu

Mass defect = 65.535505 - 64.949563

= 0.585942 amu

The mass defect is the discrepancy between the nucleus of an atom’s anticipated mass and its actual mass. This discrepancy is due to the binding energy of a system, which might manifest as excess mass.

A key characteristic of a nucleus is the nuclear mass defect, which has a set value equal to a specific amount of binding energy for that nucleus.

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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.

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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Although you are not moving with respect to the chair, you are moving with the Sun at a speed of more than 100,000 km/h.

The portion facing the sun is lit up (day), whereas the portion facing it in the opposite direction is dark (night). Since we are all going in the same direction at the same consistent pace, we cannot feel the Earth turning. The Earth revolves once around its axis every 24-hour day.

How quick are we compared to the speed of light?

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velocity of wave v = [tex]\sqrt{t/\mu}[/tex]

v = √49/√4.7 * 10^-3

= 102.1 m/s

w = 2 π f

   = 2 π (v/[tex]\lambda[/tex])

  = 2 π (102.1/1.5)

  = 427.04

max speed Vmax = Aw

Vmax = 2.50 * 10^-2 *427.04

Vmax = 10.675

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The distance travelled by the car when the brakes were applied is 12.11 m

The following data were obtained from the question:

The distance travelled can be obtained as follow:

s = ut + ½at²

s = (25 × 0.45) + (½ × 8.5 × 0.45²)

s = 11.25 + (4.25 × 0.2025)

s = 11.25 + 0.860625

s = 12.11 m

Thus, the distance travelled in 0.45 s by the car is 12.11 m

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In an experiment in space, one proton is held desk bound and every other proton is released from relaxation at a distance of 3.50 mm. After the proton is launched its initial acceleration is four.14*10^{five}

Given data:

Electrostatic force = kq^{2} /r^{2}

F = ma

ma = [tex]= kq^{2} /r^{2}[/tex]

[tex]a = = kq^{2} /r^{2}m[/tex]       ....(1)

Here,

k = [tex]9*10^{-19} C[/tex]

r = 3.50 mm

m = [tex]1.67 * 10^{-27}[/tex]

Putting the details given above into equation 1

[tex]a = \frac{9*10^{9}(1.6*10^{-19})^{2} }{(2.5*10^{-3})^{2}*1.67*10^{-27} }[/tex]

[tex]a = 4.14*10^{5}[/tex]

Electrostatic forces, as an instance, pull or push on objects without genuinely getting into contact with them. while sure substances are rubbed collectively, a phenomenon known as "rate" may be transferred from one surface to some other. Uncharged gadgets are pulled by way of charged objects, which in turn may additionally push or pull towards different charged ones.

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Answer: Removing solution from the container

Explanation: Took the quiz

The action that would cause the concentration of a solution to remain constant is removing solution from the container.

The concentration of a solution is the measure of the amount of solid particles (solute) that has been dissolved in the given amount of a solvent.

Adding water to a solution will dilute the solution, hence changes the concentration of the solution.

Also, adding solute will change the concentration of the solution.

Thus, the action that would cause the concentration of a solution to remain constant is removing solution from the container.

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