A 1. 0-kilogram ball is dropped from the roof of a building 40. Meters tall. What is the approximate time of fall?.

The height of the cliff is 30 m.

Between distance/height, speed and time can be understood as follows.

The formula for distance/height is speed times time or written

s = (v) (t)

The formula for time is distance divided by speed or written

t = s ÷ v.

v is the symbol for speed (velocity),

s is the distance,

and t is the time.

The formula for speed is distance divided by time or written v = s ÷ t.

To determine the height of the cliff, use the equation:

S = (v) (t)

We have,

Speed of object thrown from the cliff = 10 m/s ⇒ (v)

The time it takes the object to hit the ground = 3 s ⇒ t

So, the height of the cliff is:

S = (10) (3)

= 30 m

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The speed of the wave is doubled while the wavelength remains same, the frequency of the wave will also become double.

The wavelength of the wave is given by the formula,

y = c/v

Where,

y is the wavelength,

c is the speed of the wave,

v is the frequency of the wave.

Now, let us say, if we doubles speed of the wave, then the frequency becomes v',

So we can write,

y = 2c/v'

Putting, c/y = v,

v' = 2v.

So, if the speed of the wave is doubled, then the frequency of the wave will also be doubled.

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Mars has a mass of 6.40 x 1023 kg and a radius of 3.40 x 103 km. based on this data, The acceleration due to gravity at the surface of mars will be 3.69 [tex]m/s^{2}[/tex]

g = G M / [tex]R^{2}[/tex]

g = acceleration due to gravity on mars

G = gravitation constant

R = Radius

M = mass

g = 6.67 * [tex]10^{-11}[/tex]  * 6.40 * [tex]10^{23}[/tex] /  [tex](3.40 * 10^{6}) ^{2}[/tex]

  = 3.69 [tex]m/s^{2}[/tex]

The acceleration due to gravity at the surface of mars will be 3.69 [tex]m/s^{2}[/tex]

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Answer' RA

Explanation: I need points mb gang

Astronauts still weigh 65 kg. Mass is constant or does not change anywhere.

A person's mass is constant whether he is on Earth or on the Moon because mass is an essential property of matter. There is no difference in the mass of astronauts on Earth and on the moon. Mass is a constant value, but a person's weight varies depending on their position on the earth.

Weight is the downward force exerted on a person or body by gravity. Whether measured on Earth or on the ISS, the mass does not change. Weight may change due to gravitational forces such as B. On the moon, the weight is reduced to one-sixth of what it is on Earth. Astronauts and their spacecraft still have mass and are subject to Earth's gravity.

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The Central angle of Sector is 305.73° . The Central angle of sector is defined as the angle formed by two radii.

The Sector Area of a circle is the amount of space enclosed within the sector boundary. A sector always starts from the center of the circle. A circle sector is defined as the portion of the circle bounded between two radii and their adjacent arcs.

Mathematically, A = (θ/360°) × π r²

where, A---> area of sector of circle

θ----> Central angle of sector

r ----> radius of circle

pi (π) = 3.14

we have, Radius of circle (r) = 3 inch

Area of sector of circle (A) = 24 inch²

we have to find out the value of central angle of Sector .

putting the values in above formula we get,

24 = (θ/360°) × 3.14 ×(3)²

=> θ/360° = 24/28.26 = 0.849

=> θ = 360×0.849 = 305.73°

Hence, Central angle of sector is 305.73° ..

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Answer:

300000000 m/s

Explanation:

wave Speed = Wavelength x Wave Frequency
wave speed = 1000m * 300000
wave speed = 300000000 m/s

The behavior of the moment of inertia of the neutron star and that of the angular velocity of the star is The angular velocity increases.

angular speed is the time charge at which an object rotates or revolves approximately an axis. Angular speed is represented via the Greek letter omega (ω, on occasion Ω). it's far measured in perspective in keeping with unit time; as a result, the SI unit of angular pace is radians per 2nd.

In physics, angular speed or rotational pace (ω or Ω), also called angular frequency vector, is a pseudovector illustration of the way fast the angular position or orientation of an object changes with time (i.e. how quickly an item rotates or revolves relative to a point or axis). The value of the pseudovector represents the angular velocity, the charge at which the object rotates or revolves, and its course every day to the immediate aircraft of rotation or angular displacement. The orientation of angular pace is conventionally unique by the right-hand rule.

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A solution is made by dissolving 15.5 g of calcium chloride, cacl2, in enough water to make exactly 100 ml of solution. The a solution is made by dissolving 15.5 g of calcium chloride, cacl2, in enough water to make exactly 100 ml of solution will be 1.4 mol /L

given

volume of solution = 100 mL = 0.1 L

number of moles = mass / molar mass

                             = 15.5  / 111 =  0.14  mol

molarity = number of moles of solute / volume of the solution

             = 0.14 / 0.1 = 1.4 mol /L

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The correct answer is the most likly factor that contribute to this difference is angle of solar radiation and temprature.

Seasonal temperatures of sites at various latitudes are influenced by the angle of incoming solar radiation. The incoming solar energy is more direct (almost perpendicular or closer to a 90° angle) when the sun's rays hit the surface of the Earth close to the equator. Warmer temperatures result from the solar radiation being concentrated over a smaller surface area. Higher latitudes have narrower solar radiation angles, which spread energy across a broader region of the surface and result in cooler temperatures. Surface temperatures are typically warmer at lower latitudes and cooler at higher latitudes because the angle of radiation varies with latitude (even though higher latitudes have more hours of daylight during the summer months).

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The speed when it is very far away from the earth is 1.41 ×[tex]10^{4}[/tex]m/s.

As we know that total energy is the sum of kinetic energy and potential energy.

In the same way, when the rocket starts its motion from the Earth's surface, its mechanical energy is the sum of kinetic energy and potential energy.

So initially the total energy is:

E(i) = K(i) + U(i)

     = 1/2 mu² + (-GM/r)

Let's assume that m is the mass of the rocket.

u = initial velocity =1.8 × [tex]10^{4}[/tex]m/s

G = 6.67 ×[tex]10^{-11}[/tex]m³[tex]kg^{-1}[/tex] [tex]s^{-2}[/tex]

M = mass of earth = 5.97 × [tex]10^{24}[/tex]kg

r = distance of the rocket from the Earth's center = 6.37 ×[tex]10^{6}[/tex]

Now the final total energy is:

E(f) = K(f) + P(f)

Potential energy is zero as at infinity distance from Earth is taken as zero.

E = 1/2 mv²

v = final speed

As initial energy is equal to final energy

1/2 mu² + GM/r = 1/2 mv²

v = [tex]\sqrt{u^{2} - GM/r }[/tex]

   =[tex]\sqrt{(1.8 * 10^{4} - 6.67 * 10^{-11 } * 5.97* 10^{24} / 6.37 * 10^{6} }[/tex]

   = 1.41 ×[tex]10^{4}[/tex]m/s

Therefore the speed is 1.41 ×[tex]10^{4}[/tex]m/s

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According to the given statement As a result, the water's temperature increased by 0.36°C.

Higher temperatures raise the likelihood that heat waves may occur more frequently and last longer. Extreme heat can be deadly, resulting in conditions like heat exhaustion and heat stroke as well as actual mortality. Additionally, increased temperatures have the potential to trigger a variety of additional alterations globally.

The formula below is used to determine the temperature rise (T).

ΔT = 0.19gh/c............. Equation 1

Where:

T stands for temperature rise.

g = Gravitational acceleration

Height is h,

While water's specific heat capacity is c.

From the question,

Given:

h = 807 m

g = 9.8 m/s²

c = 4184 J/kgK

Substitute these values into equation 1

ΔT = (0.19×807×9.8)/4184

ΔT = 0.36°C

As a result, the water's temperature increased by 0.36°C.

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Locating stars hidden by nebulae that would typically obscure other stars.

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Examples of forms of globalization: Economic globalization, political globalization, and cultural globalization.

In easy terms, globalization is the manner with the aid of which human beings and items flow effortlessly throughout borders. mainly, it is an economic idea – the mixing of markets, alternatives, and investments with few boundaries to gradually drift services and products among international locations.

An instance of environmental globalization would be the collection of global Tropical wooden agreement treaties (1983, 1994, 2006), setting up global Tropical wooden business enterprises,s and promoting sustainable control of tropical forests. excellent examples of cultural globalization are, for example, the trading of commodities including coffee or avocados. espresso is stated to be originally from Ethiopia and eaten up inside the Arabid vicinity. nonetheless, due to industrial trades after the 11th century, it's far from nowadays referred to as a globally fed-on commodity.

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The correct answer is Position D where bob has the maximum speed.

Where is the peak kinetic energy during a pendulum swing?

At its lowest point, when the weight is travelling the quickest, an active pendulum possesses the highest kinetic energy. The total of kinetic and potential energy, or mechanical energy, is always present in an ideal pendulum system.

The restoring force is therefore directed in the same direction as the bob is travelling, to the right. The bob will gain speed as a result of this push, reaching its top speed at point D, which is the equilibrium position.

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A piece of the Challenger Space Shuttle was recently discovered by a film crew in the atlantic ocean.

Challenger became the first space commute to be destroyed in a project twist of fate. The accrued debris of the vessel is currently buried in decommissioned missile silos at launch complex 31, Cape Canaveral Air pressure Station.

On January 28, 1986, the gap travel Challenger broke aside 73 seconds into its flight, killing all seven group individuals aboard. The spacecraft disintegrated 46,000 ft (14 km) above the Atlantic Ocean, off the coast of Cape Canaveral, Florida, at 11:39 a.m. EST (sixteen:39 UTC).

A massive segment of the destroyed space go back and forth Challenger has been found buried in sand at the bottom of the Atlantic.

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The stone reach in 3 second and with velocity 15m/s.

To find time

s = 1/2 a [tex]t^{2}[/tex]

s = distance, given = 45 meter

a = acceleration, given = 10 m/[tex]s^{2}[/tex]

Put these values in formula to get time, s = 1/2 a [tex]t^{2}[/tex]

t = 3 s

Now, to find velocity.

v = s/t

v = 45/3

v = 15 m/s

Therefore, the stone reach in 3 second and with velocity 15m/s.

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The horizontal velocity of the projectile it leaves the launcher is 0.283 m/s.

The horizontal speed of a projectile is regular, and there's a vertical acceleration because of gravity; its cost is 9.8 m/s/s, down, The vertical speed of a projectile changes via nine.8 m/s every second, The horizontal motion of a projectile is impartial to its vertical movement.

Projectile motion is a form of motion experienced with the aid of an object or particle that is projected in a gravitational field, such as from Earth's floor, and movements alongside a curved route below the action of gravity best.

Projectile motion is the movement of an object thrown (projected) into the air. After the initial force that launches the item, it most effectively reports the pressure of gravity. The object is known as a projectile, and its route is called its trajectory.

Calculation:-

Horizontal distance = 40 cm

                          = 0.4 m

height of table = 10 m

Let vertical velocity is 0.

S = ut +1/2 at²

10 = 0 + 0.5 × 10 t²

t² = 10/5

t    = 1.414 sec.

At the same time, it will take to cover a horizontal distance of 0.4 m.

Velocity = distance/time

                = 0.4/1,414

                  = 0.283 m/s

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The point of time at which the train in roller coaster will have the most kinetic energy is at the lowest point of the roller coaster.

KE = 1 / 2 m v²

KE = Kinetic energy

m = Mass

v = Velocity

KE ∝ v²

In a roller coaster no external force is applied. It works on the principle of law of conservation of energy. Initially it is raised to a height where it gains potential energy. From there due to downwards motion, potential energy is converted into kinetic energy. So in the lowest point of its motion, potential energy is fully converted into kinetic energy and hence it will be maximum at this point.

Therefore, the point of time at which the train in roller coaster will have the most kinetic energy is at the lowest point of the roller coaster.

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This statement is True. Project X should be definitely select, and the investment made, provided we have confidence in the data.

Based on the IRR decision rule, an...

Mutually exclusive projects in capital budgeting are a group of investments that limit the investor's choices to only one. The selection is limited to one project due to limited funding. The net present value (NPV) and the internal rate of return (IRR) are two capital budgeting methods that can be used in the appraisal process. The internal rate of return calculates the discount rate that makes the NPV equal to zero, while the net present value appraises projects based on their current worth.

Two events (or propositions) are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

In the coin-tossing example, both outcomes are theoretically collectively exhaustive. This indicates that at least one of the outcomes must occur, and as a result, these two possibilities collectively exhaust all other possibilities.  

However, not all events that are mutually exclusive are all-inclusive. For instance, the outcomes 1 and 4 of a single roll of a six-sided die are mutually exclusive (neither may occur at the same time), yet these are not all possible possibilities (other options;

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The speed of the aircraft relative to the ground is 606.9 km/h.

Solution:

x-y coordinate system:

x is positive east. Similarly, y is positive north.

Now let's decompose each vector into x-y

500 km/h due east = (500, 0)

120 km/h at 30 north of east

= (120cos(30), 120 x sin(30)

= (120 x [tex]\frac{\sqrt{3} }{2} , 120*\frac{1}{2}[/tex])

= (60 x [tex]\sqrt{3}[/tex], (60)

Adding the vectors.

= (500,0)+(60 x [tex]\sqrt{(3)}[/tex],(60)

= (500 + 60 x [tex]\sqrt{(3)}[/tex],60

= (500 + 60 x 1.73,60)

= (500 + 103.8,60)

= (603.8,60)

Returning back to polar form

Magnitude = [tex]\sqrt{603.923^{2}+60^{2} } = 606.9[/tex]

The speed of the aircraft relative to the ground is equal to the speed of the aircraft relative to the air plus the velocity of the air relative to the ground. In other words, it neither moves closer nor farther away from you. They move at 80 km/h relative to the observer next to the track. They do not move relative to the textbook.

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A benefit of monetary policy over fiscal policy is that financial, banking, and monetary policy experts, not politicians, make the decisions. Political influences have little effect on the decision-makers. Every six weeks, policy can be altered and implemented by the decision-makers.

Because lower interest rates make it less expensive for people to borrow money to purchase expensive products like cars or homes, monetary policy can counteract a slump. Monetary policy can lower investment costs for businesses. By raising asset prices and cutting borrowing costs, expansionary monetary policy can boost corporate profits while having a minimal impact on GDP. Fiscal policy aims to either address total spending, the total composition of spending, or both, whereas monetary policy aims to stimulate economic activity. Fiscal and monetary politics share a comparable recognition latency; but, fiscal policy has a shorter effect lag than monetary politics, which has a shorter implementation lag.

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The relative velocity of car A relative to car B is 50 m/s.

The relative velocity of an object is defined as the velocity of an object with respect to another observer.

The relative velocity of every object is measured with respect to a another observer often referred to as frame of reference.

The relative velocity of car A relative to car B is calculated as follows;

Vr = √(Va² + Vb²)

where;

Vr = √(30² + 40²)

Vr = 50 m/s

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The current in the wire is found to be 4.72 A.

Electric current is nothing but the rate of flow of electrons in a conductor. The SI unit of current is ampere.

Given that,

Radius of circular path = 11 cm = 0.11 m

EMF of the solenoid, E = 33 volts

Resistance of the wire, R = 7 ohms

We need to find the current in the wire. It is calculated using ohm's law. Its mathematical relation is given by

E = IR

I = E/R = 33/7 = 4.72 A

Thus, the current in the wire is 4.72 A.

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The radius of the curve is 80 m when its centripetal force is 7500 N.

Given Information:  

Mass of the Car (m) = 1500 kg

The velocity of the Car (v) = 20 m/s

Centripetal Force (F) = 7500 N.

Now, Centripetal Force is given by,

[tex]F = \frac{mv^{2} }{r}[/tex]

Putting all these values in the formula for centripetal force,

[tex]7500 = \frac{1500*20^{2} }{R}[/tex]

[tex]R = \frac{1500 * 400}{7500} = 80[/tex]

Hence, the radius of the curve is 80 m.

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The change in position in degrees will be 57.30°

angular velocity = change in angular rotation / change in time

given

angular velocity = 2 rad/s

time = 0.5 seconds

change in position  = angular velocity  * change in time

                                                  = 2 * 0.5 = 1 rad

1 radian = 180 / π = 57.30 °

The change in position in degrees will be 57.30°

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Since the acceleration is to the left it will have a negative acceleration in the coordinate system.

If the acceleration points in the same direction as the velocity the object is accelerating. Also, if the acceleration is in the opposite direction of the velocity the object will slow down. The direction of acceleration depends on whether the object is accelerating or decelerating and the direction the object is moving. When an object is accelerated, its acceleration is usually in the same direction as its motion.

When an object slows down its acceleration is in the opposite direction of its motion. Axel has the right not to step on the brake and accelerator at the same time. This, combined with the fact that the driver presses the right and center paddles at the same time eliminates that concern.

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The vehicle will travel a total of 80 miles in 1 hour and 20 minutes.

The vehicle is moving at a constant speed of 60 miles per hour.

It means that in one hour, the vehicle travels 60 miles.

So, we can write,

Miles travelled in hour = 60

Miles travelled in one minute = 60/60

Miles travelled in one minute = 1 mile

Total time given is 1 hours and 20 minutes.

1 hours = 60 minutes,

Hence, total time = 60+20

Total time = 80 minutes.

So, the distance travelled in 80 minutes = 80 x 80 miles,

Miles travelled in 80 minutes = 80 miles/

So, the vehicle travelled 80 miles in 1 hour and 20 minutes.

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The dissociation constant Ka for weak acid HA is 0.25× 10⁻⁷.

Equilibrium constant of a chemical reaction is known as dissociation associated with acid-base reactions. Species HA is an acid that dissociates into the conjugate base of the acid, A , and the hydrogen ion, H⁺ .

First, write the balanced formula for the partial ionization of the acid,

HA(aq) + H₂O(l) ⇌ A⁻ (aq)+H₃O⁺(aq)

Note that there is a 1:1 molar ratio everywhere For every mole of acid that ionizes in aqueous solution, you get 1 mole of its conjugate base and 1 mole of the hydronium ion H₃O⁺.

The equilibrium concentration of hydronium ions can now be calculated from the pH value of the solution.

pH = - log ( [ H₃O⁺]) = [ H₃O⁺ ]= 10⁻ᵖᴴ

For the given question we have a pH of 3.87 which means [H₃O⁺] = 10⁻³·⁸⁷

and concentration of H₂O is 0.400M.

By definition the acid dissociation constant Ka equals to

Ka = [ A⁻ ] [H₃O⁺ ] / [HA]

The acid dissociation constant equation is written using equilibrium concentrations. Therefore, if the reaction produced a hydronium ion concentration equal to 10⁻⁴ M, it also produced a conjugate base concentration equal to 10⁻⁴M. The initial concentration of the acid is much higher than the concentrations of the conjugate base and hydronium ion, so they can be approximated as constants.

Ka = 10⁻⁴ × 10⁻⁴/ 0.400 = 0.25× 10⁻⁷

Hence, the dissociation constant of acid Ka is 0.25× 10⁻⁷.

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The man can move 0.59 meters from the pivot by walking. The external force is countered by the tension of the string.

Tension, a type of force (pulling force), arises down the length of a rope or string when an external force acts at one of the ends.

Assume for the moment that the person is 'd' away.

Tnet = 0

The answer to the query is

mgd + (Mg * L/2) = T* d'sin

Given,

Θ = 37°

d' =5m

L= 8m

M = 600kg

m = 95kg

T = 8000N

If we solve for d, we obtain

8000 = ((600 * 9.8 *4) + (95 * 9.8 * d)) / 5 sin37°

d= ((8000*5*sin37°) - (8000*9.8*4)) / 95*9.8

d = 0.59m

He can therefore walk 0.59 meters from the pivot.

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