A cannon is fired horizontally from the top of a platform, with a velocity of 18m/s. If the cannon ball
lands 162m away from the base of the platform, How long does it take for the cannon ball to hit the
ground? How tall is the platform?
I

it will take around 1,448 billion years for U-238 atoms to decay.

When a radioactive nucleus spontaneously releases excess energy, that energy is referred to as ionizing radiation. radiation from ions may manifest as alpha or beta particles. either gamma rays or particles. The action of Radioactive means to emit radiation.

U-238 has a radioactive half-life of 4.5 billion years, which is independent of the original concentration.

c₀ - initial concentration of U-238.

c - concentration of U-238 remaining at the time.

t = 4,5·10⁹ y.

First, calculate the radioactive decay rate constant λ:

λ = 0,693 ÷ t = 0,693 ÷ 4,5·10⁹ y = 1,54·10⁻¹⁰ 1/y.

ln(c/c₀) = -λ·t₁.

ln(0,8/1) = -1,54·10⁻¹⁰ 1/y · t₁.

t₁ = 1,448·10⁹ y.

Therefore, it will take around 1,448 billion years for U-238 atoms to decay.

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Answer: Its A its the best possible answer

Explanation:

its the best possible answer

Answer:

A. water behind a dam

Explanation:

today we were learning energy then our teacher told as so am sure am ryt

The correct answer is ±(- 1/√3, 1/√3, 1/√3)

a=i+j=<1,1,0)

b=i+j=<1,0,1>

c=+<(cos α, cos , cos γ)> are the unit vectors orthogonal to a and b (moving in the opposite direction).

Scalar product c.a=cos α+cos β=0

Similarly c.b=cos α+cosγ =0

c=±<-cos α, cos α, cos α>

The directions in each octant (the 2nd OX'YZ and 8th OXY'Z') are equally inclined to the axis.

cos α=± 1/√3

Thus the answer is ±(- 1/√3, 1/√3, 1/√3)

What is unit vector?

Both magnitude and direction are present in vector units. Sometimes, though, one is simply concerned with the direction and not the magnitude. In this situation, vectors are frequently regarded as having unit length. A scalar coefficient provides the magnitude, and these unit vectors are typically employed to express direction. Unit vector and scalar coefficients can be used to sum a vector decomposition.

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The efficiency of the engine is 17%

The answers to this exercise do not depend on the engine being of the Carnot design. Any heat engine that intakes energy as heat (from, say, consuming fuel) equal to

[tex]|Q_{H} |=[/tex]=94.5kJ and exhausts (or discards) energy as

heat equal to [tex]|Q_{L} |=[/tex]78.8KJ

will have these values of efficiency ε and network W

(a) Equation 20-12 gives ε=1- [tex]|\frac{Q_{L} }{Q_{H} }|[/tex] =1-0.8338624339 =0.17 =17%

Carnot cycle definition

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The average velocity will be 1.30 x 10⁻² m/ s.

Velocity is defined as the ratio of the distance moved by the object at a particular time. As a vector quantity, the velocity requires both the magnitude and the direction.

Given that a helicopter blade spins at exactly 80 revolutions per minute. Its tip is 4.00 meters from the rotational axis.

Use the formula to calculate the linear velocity.

V= d/t

V= velocity

d= distance

t= time

Here d will be the circumference of the blade

d= 2πr

We have:-

80 rev = 1min

1min/ 80= 60s/80

The average velocity will be calculated as below:-

Vavg= 2π( 10m ) / 80 x 60

Vavg= 0.01308 m / s

Vavg = 1.30 x 10⁻² m / s

Therefore, the average velocity will be 1.30 x 10⁻² m/ s.

The complete question is given below:-

A helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation. What will be the average speed of the helicopter blade?

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For a project to be successful, the product owner should invest somewhere between 60 and 100 percent of their time and effort in it.

In many aspects of product development, the scrum product owner assumes leadership. They will eventually need to use their extensive market knowledge to plan and communicate their vision to stakeholders. They will have to put on their developer hats one more time in order to assist the team in achieving its sprint objectives. Depending on the technical and commercial factors of the situation, different levels of frequency are ideal, but generally speaking, one release every four to six iterations would be regarded as the maximum.

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The acceleration is maximum when the displacement of the object is maximum.

We understand that speed is most when y=zero, displacement is zero, and acceleration is zero, this means that the machine is in equilibrium. therefore, at a factor in simple harmonic motion, the maximum pace can be calculated by the usage of the formulation v=Aω. the rate may be most in easy harmonic movement, while the acceleration is zero.

The pendulum oscillating backward and forward from the suggested role is an example of easy harmonic movement. Bungee leaping is an example of simple harmonic motion. The jumper oscillates up and down in the present process SHM because of the pliancy of the bungee wire.

The maximum displacement of the bob from its implied role. OA or OB is called its amplitude. because the bob is at its lowest position on point O. Its potential power is minimal whilst its kinetic power is maximum.

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reference group influences source would most likely build into your promotional message

Promoting something is all that promotional messages are. However, the secret to a successful promotional message is to avoid being overly pushy. What does "salesy" mean? messages that are unclear in terms of their value to a customer Messages that seem to be excessively promotional messages that lack a distinct call to action excessively capitalizing phrases or using buzzwords like "free" As we hinted at previously, several cell carriers discourage the usage of the word "free" and the capitalization of whole words when it comes to text marketing (TODAY, SALE, SIGN UP). The various phone providers may consider such approaches to be spam and limit their use. Your number might consequently be blocked, which would seriously hinder your capacity to converse.

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Answer: increase

Explanation:

increase of  compression make it hot

Option a) 2.0m/s

So, where it is wide, speed is 2 m/s

According to equation of continuity

A1V1 =A2V2

A1= [tex]\pi[/tex][tex](2*10^{-2}) ^{2}[/tex]

A2 = [tex]\pi (1*10^{-2}) ^{2}[/tex]

V2 = 8m/s

solving by the equation, we have

v1 = 2 m/s

An equation that describes the movement of a certain amount is known as a continuity equation or transport equation. It can be generalized to apply to any substantial quantity, but it is especially straightforward and effective when applied to conserved quantities.

Since mass, energy, momentum, electric charge, and other natural quantities all remain constant under the proper circumstances, continuity equations can be used to explain a wide range of physical events.

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Q(l) = 35,000 kj/h

T° = 4° c = 277k

T(H) = 298 k

given that house is to be maintained at 25° c at all times

hence internal energy is zero. du=0

now, using first law of thermodyanamics

dq= du+dw

dq= dw ( because du = 0)

hence, heat lost by house is equal to the work input for system

Q(l)= w (input)

w (input) =35,000 kj/hr

now, coefficient of performance for reversible heat pump = cop ( rev,hp)

cop ( rev,hp) = = 14.9

cop ( rev,hp) = Q(l)/w (input)

14.9 = 35,000/ (win)rev

(win)rev = 2349 kj/h ( reversible work input)

Irreversibility of process = I

I = (win) - (win)rev

I = 35000- 2349

I = 32651 KJ/hr

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Explanation:

GIVEN DATA

since P(momentum)=Mass×Velocity

F = P2 -P1

t

F= Mv2-Mv1

t

F=M( v2-v1) ,(a=v2-v1)

t t

ANSWER EXPLANATION IN WORDS

That question is related to Newton's second law of motion, the question ask you to find the force it gives you a mass and a acceleration As we know that the SI unit of acceleration is newton per kilogram or metre per second square It is correct to write metre per second square instead of Newton Per kilogram because because all of them are the SI unit of acceleration so that is the answer we get 686 Newton by Force .

In general, a phenotype is an inherited trait that we can observe.

Phenotypes include things like blood type, eye colour, and hair colour. If you have brown eyes, your eyes will be brown; if you have brown hair, your hair will be brown; or if you have an A blood type phenotypic, your blood type will be A.

Only the blue allele can be passed down from the homozygous blue-eyed parent. Either the blue allele or the brown allele can be inherited from the heterozygous brown-eyed parent. Children with a blue-brown genotype, or those with both the blue and brown alleles, will have brown eyes and a brown-eyed phenotype. Similar to this, children with a blue-blue genotype—two blue alleles—will have blue eyes and a blue-eye phenotype

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For the same percentage error in each of the three quantities, mass, diameter, and length, mass would contribute the most to the error in the density.

A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol, however Latin letter D may also be used. The formula for density is mass divided by volume:

ρ = m / v

The error's absolute value is multiplied by 100%, divided by the accepted value, and then converted to a percent.

Since, the mass is directly related to density so the mass would contribute more to the error in density out of the three quantities, mass, diameter, and length.

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The quantum number of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2 is 4.

What is quantum number?

The collection of numbers known as quantum numbers is used to describe an electron's position and energy in an atom. The four categories of quantum numbers are primary, azimuthal, magnetic, and spin quantum numbers.

Given that,

Eₙ = 2h²/mL²,

The equation for the energy of a particle of mass m confined to a one-dimensional box of length L is given by:

[tex]E_n = \frac{n^{2} h^{2}}{8mL^{2}}[/tex],

Equating this equation with the energy given in the question.

i.e. Eₙ = 2h²/mL².

We get,

[tex]\frac{n^{2} h^{2}}{8mL^{2}} = \frac{2h^{2}}{mL^{2}}[/tex]

[tex]\frac{n^{2}}{8} = 2[/tex]

[tex]n = \sqrt{16}[/tex]

n = 4

Therefore,

The quantum number of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2 is 4.

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The answer for this word puzzle is given below. Question number 14 to 17 are missing.

All these questions are based on Newton's three laws of motion. The first law states that an object cannot move or stop until an external force is applied. The second law states that acceleration is based on the force applied on the object. The third law states that for every action there is an equal and opposite reaction.

Therefore, the answers for the questions in the word puzzle is mentioned above in order.

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1.428 s is the calculated time.

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

So here is the most straightforward formula for this:

+(1/2) *(9.81 m/s^ (2)) *t^ (2) = +10 m.

The result is that t = √ (20 m/ (9.81 m/s (2)))

=√ (2.039 s2)

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

vertical (and only) axis of a drawing must be pointed downward.

So here is the most straightforward formula for this:

+(1/2)*(9.81 m/s^(2))*t^(2) = +10 m.

The result is that t = √ (20 m/(9.81 m/s(2)))

= √(2.039 s2)

=1.428 s.

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The refractive index of the substance for the critical angle 68.4° is found as 1.43400055

To find the index of refraction, the given values are:

Critical angle is 68.4°.

The refractive index can be defined as the ratio of the speed of light in the medium to the speed in the vacuum.

The formula of the refractive index is as follows:

Where,

n is the refractive index

c is the velocity of light in a vacuum ( 3 × 108 m/s)

v is the velocity of light in a substance

The refractive index of different media can be listed in the table below:

Material            Refractive Index

Air                          1.0003

Water                     1.333

Diamond                2.417

Ice                           1.31

Ethyl Alcohol         1.36

Now, finding the value of refractive index,

As the value of critical angle is given,  θ = 68.4°,

θc = Sin ⁻¹ ([tex]\frac{n2}{n1}[/tex])

Considering the given values, n2 = 1.3333

θc = θ = 68.4°

So, n1 = ( n Water) / ( sin θc)

          = 1.33333 / sin 68.4°

          = 1.43400055

Thus, n1 ca be found as,1.43400055

The refractive index of the substance for the critical angle 68.4° is found as 1.43400055

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According to the given question distance between these two points is 1.971m.

The distance can be a literal length as defined by physics or a general estimation based on other variables.  It is a generalization of the idea of physical distance. Distance is a non-numerical unit of measurement in psychology and the social sciences; psychological distance is the separation of an object from itself along dimensions including time, space, and isolation.

According to the question:

speed=frequency*wavelength

wavelength = 340/140 =2.428 m

phase difference=2pi× x/lamda

x=5.1*2.428/(2*pi)

x=1.97m

since v= f × wavelength

where v = speed of sound  and f = frequency

therefore wavelength  = v/f  = (340)/140 = (17/7)m

now, since Phase angle = (2×pi/wavelength)×shift

or, shift = phase angle × (wavelength/2×pi) = 5.1 × ((17/7)/2×pi) = 1.971m

Hence, the distance between these two points = 1.971m

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The subway train is moving to the left and then comes to a stop, what direction is the acceleration will be towards right and will be positive.

The train comes to a stop, this means that the velocity gradually decreases. Hence, the acceleration must be positive and points towards the right.

velocity and acceleration:

velocity is the charge of alternate inside the position of an object, at the same time as acceleration is the rate of trade of the fee. consider the movement alongside a line. If the velocity and acceleration are in the same route, then the charge constantly will growth in time. inside the meantime, if the speed and acceleration are in contrary instructions, then the rate steadily decreases to 0 speed, reverses route, and now the velocity is in the identical path of the acceleration.

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She decides to hit the dirt in -2.64 m/s in First equation and  2.59m in second equation.

Using 1st equation of motion,

V = u + at

-3.7 = 0 + a x 1.4

Acceleration,

a = - 2.64 m/s^2

Using 2nd equation of motion,

D = ut + 0.5 at^2

D = (3.7 x 1.4) - (0.5 x 2.64 x 1.4^2)

= 2.59 m

Sprint Speed, a Stat cast metric that was first used in the 2017 season, counts the number of feet per second a player covers in his quickest one-second span.

Currently, "qualifying runs" from these two groups are included in the metric:

• Runs from second base following an extra-base hit but eliminating runs of two bases or more on non-homers.

• Runs scored from first base to home on "tipped" or "weakly hit" balls.

A player's seasonal average is calculated using the best third of these runs on average.

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In cold:

An object's temperature is a measure of how much its atoms move — the colder an object is, the slower the atoms are.

In heat:Heating a substance makes its atoms and molecules move faster. This happens whether the substance is a solid, a liquid, or a gas.

The magnitude of the resultant force is 11.4 N.

The resultant force is the force that has the same effect both in magnitude and in direction as the two or more forces acting at the same time. We know that force is a vector quantity, this implies that both the magnitude and the direction of the force are all important. This is why we have to factor in the direction of the force at all times.

Now, we can see that, it is possible to obtain the resultant force from the parallelogram law of vectors. We can see that;

R = √ P^2 + Q^2 - 2PQ Cos θ

P = 5 N

Q = 8 N

θ =  120°

R = √(5^2 + 8^2 - (2 * 5 * 8) cos 120

R = 11.4 N

The direction of the 5N force is obtained as;

Tan^-1 (8/5)

= 58 degrees

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About 22.8 millicoulombs of charge has been stored in a capacitor of capacitance 152 µf when a total voltage of 150 v is applied to this capacitor.

The capacity of a component or circuit to gather and hold energy in the form of an electrical charge is known as capacitance. Devices that store energy include capacitors, which come in a variety of sizes and forms.

When any capacitor is being linked to a battery with a specific voltage, its capacitance can be totally calculated by measuring the charge held on each plate.

The capacity of this capacitor that is calculated in order to store energy in the form of electric charge is known as the capacitance.

Here we know that we have,

C= 152 uf

V=150v

Q =?

Q= CV

= 152 x10^6 x 150

= 22800 x 10^6

= 22.8 x 10^6

= 22.8 millicoulomb

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The speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.

The initial speed of the ball = 20 m/s

Angle to the at which the ball is thrown = 60°

Gravity = 9.81 m/s²

Resistance of the air = 0.

The maximum height reached by the ball above the ground is,

[tex]H = \frac{u ^{2 }sin ^{2}θ} {2g}[/tex]

[tex]H = \frac{20 ^{2 }sin ^{2}60°} {2 \times 9.81}[/tex]

[tex]H = \frac{ 20 \times 20 \times \sqrt{3} }{2 \times 9.81 \times 2}[/tex]

[tex] = 17.6 \: m[/tex]

Thus, the maximum height reached by the ball above the ground is 17.6 m.

The flight time of the ball is,

[tex]t = \frac{2usinθ}{g} [/tex]

[tex]t = \frac{2 \times 20 \times sin60°}{9.81} [/tex]

[tex]t = \frac{2 \times 20 \times \sqrt{3} }{9.81 \times 2} [/tex]

[tex]t = 3.5 \: s[/tex]

Thus, the flight time of the ball is 3.5 s.

The speed of the ball when it reaches it reaches the maximum height from the ground is,

[tex]Speed = \frac{ Distance }{Time}[/tex]

[tex]Speed = \frac{17.6}{3.5} [/tex]

[tex]Speed = 5.02 \: m/s[/tex]

Therefore, the speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.

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The Sun, Moon, and planets are the celestial bodies stay close to the ecliptic.

Objects in space such as the sun, moon, planets, and stars are known as celestial bodies or heavenly bodies. They are typically very far away from us and are a part of the vast universe we inhabit. The heavenly bodies are primarily seven celestial bodies.

The Sun, our star, and just about everything gravitationally connected to it, including the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, dwarf planets like Pluto, dozens of moons, and millions of asteroids, comets, and meteoroids, compose our solar system.

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The velocity of a particle at time t is 4t³- 7, at time t = 3 is 101 ft/sec, and at rest is ∛7/4 sec.

The position of a particle at time t is

s(t) = t⁴ - 7t + 22, where t > 0

(A)  Velocity at time t is

V(t) = s'(t)

Or, V(t) = 4t³ - 7 × 1 + 0

Or, V(t) = 4t³- 7

Hence, the velocity at time t is 4t³- 7.

B) Velocity ar time t = 3 is

V(3) = 4(3)³- 7

Or, V(3) = 101 ft/sec

Hence, the velocity at time t = 3 is 101 ft/sec.

(C) When particle is at rest, V(t) = 0

Then, 4t³ - 7 = 0

Or, t³ = 7/4

Or, t = ∛7/4 sec

Therefore, the velocity at rest is ∛7/4 sec.

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The relationship between a boats volume and the amount of mass is known as Archimedes' principle

Archimedes' principle states that an object displaces its personal weight in a liquid.

So calculate the weight of the boat from the mass. Calculate the quantity of liquid that has this equal weight. that is the quantity of boat underneath the waterline.

Divide that variety with the aid of the vicinity of the boat (duration instances width). this is the depth the boat sinks to.

what is Archimedes principle in easy words?

Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force identical to the burden of the displaced fluid. that is a primary condition of equilibrium. We take into account that the above force, referred to as pressure of buoyancy, is placed in the centre of the submerged hull that we name centre of buoyancy.

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Explanation:

average speed= distance/time

=180÷3

=60 km/h

Complete question

At the surface of jupiter’s moon io, the acceleration due to gravity is g = 1.81 m>s 2 . a watermelon weighs 44.0 n at the surface of the earth. (a) what is the watermelon’s mass on the earth’s surface? (b) what would be its mass and weight on the surface of ?

Gravitational acceleration at the surface of Jupiter's moon Io is g = 1.81 [tex]\frac{m}{s^{2} }[/tex]. On the surface of the Earth, a watermelon weighs 44.0 N. The watermelon has a mass of 4.485 kg on the surface of Earth thus, it would have a mass of 4.485 kg and a weight of 8.117 N on the surface of Io.

Given data:

F = mg

Mass on the earth's surface

[tex]m = \frac{F}{g}[/tex]

[tex]m = \frac{44}{9.81}[/tex]

m = 4.485 kg

Mass will not vary from earth to moon(Io).

m = 4.485 kg

F = ma

Weight on the moon(Io's) surface

F = 4.485 × 1.81

F = 8.117 N

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