an 91-g arrow is fired from a bow whose string exerts an average force of 115 n on the arrow over a distance of 74 cm .

The 1kg object dropped from 100m would reach half its potential energy halfway through the drop.

What is potential energy?

Simply explained, potential energy is the energy that an object holds due to its position in relation to a zero point. An object has gravitational potential energy if it is positioned at a height above (or below) the zero height.

Potential energy is energy that is conserved or stored in a substance or object. The amount of stored energy depends on the arrangement, organization, and state of the object or substance.

It can be thought of as energy that has the "potential" to do work. When the object's position, configuration, or state changes, the energy will also change.

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The volume flow rate through the nozzle in l/min is the amount ( in liter) of fluid travelling through a specific cross sectional area in a unit of time (in minute).

Volume flow rate may sound dull to you when you first hear it, but it is what keeps you alive. In a moment, I'll explain how, but let's first establish volume flow rate. The amount of fluid travelling through a specific cross sectional area in a unit of time is known as the volume flow rate of a fluid. The region across which something is flowing is frequently described using the fancy term "cross sectional area."

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The acceleration due to gravity on the surface of planet X is 4 N/kg.

Acceleration due to gravity is the acceleration gained by an object due to gravitational force.

To calculate the magnitude of the acceleration due to gravity on the surce of planet X, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration due to gravity is 4 N/kg.

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The flow rate of the faucet is 127.23 cm²/s and diameter below the faucet is 1.88 cm.

For calculating the flow rate, we will use the formula -

Q = Ar

A = πr², were Q is flow rate, A is area and r is radius.

Also, radius = diameter/2

Radius = 1.8/2

Radius = 0.9 cm

Speed = 50 cm/s

Q = πr²v

Q = 3.14×0.9²×50

Q = 127.23 cm²/s

The diameter of stream will be calculated by the formula -

[tex] v_{f}[/tex]² - [tex] v_{i}[/tex]² = 2gy, where [tex] v_{f}[/tex] is final velocity, [tex] v_{f}[/tex] is initial velocity, g is acceleration due to gravity and y is diameter of stream.

[tex] v_{f}[/tex] = ✓50² - 2×9.8×20

[tex] v_{f}[/tex] = ✓2500 - 392

[tex] v_{f}[/tex] = ✓2108

[tex] v_{f}[/tex] = 45.9 cm/s

r = ✓Q/πv

r = ✓127.23/3.14 × 45.9

r = ✓127.23/144.2

r = ✓0.88

r = 0.93 cm

d = 2r

d = 2×0.93

d = 1.88 cm

Thus, flow rate is 127.23 cm²/s and diameter is 1.88 cm.

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Sam's speed at the bottom is computed using the Work-Energy Theorem is 15.73m/s.

Sam is moving at a speed of 15.73 m/s near the base of the inclination plane.

Sam's weight is 75 kg, and his height is 50 metres. The slope's inclination is 200 degrees, and its horizontal force is 200 N.

The following formula is used to compute Sam's gravitational potential;

P.E = mgh

P.E = 75 x 9.8 x 50

P.E = 36,750

Friction's work is estimated as follows;

W=F x d

The following formula is used to determine Sam's horizontal distance:

d = 50/tan20, 

d = 137.35 metres.

Friction's work is estimated as follows;

W = 200 x 137.36 

W = 27,472 J

Sam's speed at the bottom is computed using the Work-Energy Theorem as follows;

W = K.E

36750 - 27472 = 1/2 x 75 x (v)2 - (0)2

v= 15.73m/s

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No, empty plate doesn't get heated up in the microwave.

This is because the microwave oven heats the food by heating the water molecules that compose it.

This is achieved by increasing the vibration amplitude of the water molecules and their kinetic energy, therefore, increasing their temperature.

So, if the element that gets into the microwave oven does not contain water (as is the case of an empty paper plate), it will not heat up.

Therefore, this is all about the transfer of energy. This the principle on which microwave works. The transfer of heat energy from one object to the other increases the kinetic energy of the particle of the other object. But no object mean no heat energy transfer and the plate isn't heated.

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The wavelength of these radio waves are 2.88 m

In the electromagnetic spectrum, radio waves have the longest wavelengths. These waves, which fall under the category of electromagnetic radiation, range in frequency from 300 GHz to 3 kHz, though they are sometimes classified as microwaves above 3 GHz.

The given frequency is 104 mhz

Any radiation in the electromagnetic spectrum, including radio waves, travels at a speed of 3.00 x 10^8 m/s in vacuum.

Consequently, the following equation can be used to determine the wavelength:

c = wavelength × frequency

frequency is given in mHz thus we convert it into Hz

and get 104 × 10 ^6

this implies

wavelength = [tex]\frac{3 X 10^8}{104 X 10^6}[/tex]

wavelength = 0.0288× [tex]10^{2}[/tex] m

= 2.88 m

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Stop, assist anyone who is hurt, protect your cars from additional damage, dial 911, and exchange any necessary details with the authorities.

A forceful collision; the act of colliding; collision between two aircraft, or crash. a collision of goals; a dispute. When two particles or bodies collide, they each apply a force that causes them to lose or gain energy or momentum. This is known as a collision in physics.

When particles, groups of particles, or solid objects travel in the same direction and get close enough to one another to contact and have an impact on one another, that is when a collision occurs in physics.

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The wavelength of sound wave is 0.662 m.

The wavelength of a wave, specifically the points of an electromagnetic wave, is the separation between successive crests. The relationship between wavelength and frequency is close. The wavelength gets shorter the higher the frequency.

We are given that,

Frequency = f = 500hz

Speed of sound = v = 331.2m/s

Thus to calculate the wavelength of sound by the formula,

λ = v/f

λ = (331.2 m/s) / (500 Hz)

λ = 0.662m

Therefore, the wavelength of sound wave would be 0.662 m.

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29.33 ft/sec is speed  in feet per second.

20 miles= 105600 ft

1 hour= 3600 second

speed= distance/time

speed=105600/3600

speed=29.33 ft/sec

It is possible to express how much an object's location shifts over time or how much it shifts per unit of time using a scalar variable called speed. It is frequently abbreviated to "s." The distance traveled by an object divided by the duration of the period gives the average speed of the object over the period.

The speed-related metric is time divided by distance. While the meter per second (m/s) is the SI unit of speed, the kilometer per hour (kph) is the most widely used unit in daily life (kph).

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Answer:

figure itout 20

Explanation:

20 -0

Over the period of 11 years, the amount of sunspots increases and decreases.

Astronomers do research on planets, stars, and some other heavenly bodies. They employ both space-based technology, such as the Space Telescope Hubble and ground-based technology, such as optical telescopes. Some astronomers investigate far-off galaxies and objects like neutron stars and black holes.

Astronomy experts have the capacity to carry out study and put their beliefs to the test. Others find it enjoyable to communicate their findings of the study to the public after they've concluded their work. Furthermore, astronomy jobs pay well enough to support a family.

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The direction of the velocity of the projectile a it trike the ground is 63.43°.

What is velocity?

A body's or an object's motion's direction. Speed is fundamentally a scalar quantity. Velocity is a vector quantity in its purest form. It refers to the rate at which distance varies. It is the rate of displacement change.

What is height?

Height is a measurement of vertical distance, or how high something or someone is (how tall they are) (how "high" a point is).

The range ( X) of cannon ball is equal to height (h) of the cliff, which is initial height of cannon ball.

∴ X= h

Therefore, the angle which final velocity vector of the cannon ball makes with and below horizontal is given by

θ= tan ⁻¹ (2h/x)

tan ⁻¹ (2h/h)     (∴ X= h)

= tan ⁻¹ 2

≈ 63.43°

Therefore, the direction of the velocity of the projectile a it trike the ground is 63.43°.

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He drives to a distance of 30 miles

1 h = 60 min

60 mph/ 60 min = 1 mph per minute

1h/2 = 30 min (only half an hour)

30 x 1 (mph) = 30

Velocity is the direction speed of an object in motion as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time.

The total distance travelled by the object in a specific amount of time is its average speed. A scalar quantity, average speed, exists. The magnitude serves as its representation, and it lacks direction.

Speed is a scalar quantity that describes how quickly an object travels over space. The ratio of distance to time, which is a scalar quantity, is the average speed.

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The focal length of the lens is 39.3 mm. The result is obtained by using the thin lens equation.

The Thin Lens Equation is the equation used on a thin positive or negative lens.

[tex]\frac{1}{f} = \frac{1}{d_{1} } + \frac{1}{d_{2} }[/tex]

Where

We have a camera with the film 36.9 mm away from the lens and the object distance is 59.2 cm. Determine the focal length!

Let's convert the object distance's unit!

59.2 cm = 592 mm

The distance of the film from the lens is the image distance. So, the focal length is

[tex]\frac{1}{f} = \frac{1}{d_{1} } + \frac{1}{d_{2} }[/tex]

[tex]\frac{1}{f} = \frac{1}{592 } + \frac{1}{36.9 }[/tex]

[tex]\frac{1}{f} = \frac{(592-36.9)}{21844.8 }[/tex]

[tex]\frac{1}{f} = \frac{555.1}{21844.8 }[/tex]

[tex]f = \frac{21844.8}{555.1}[/tex]

f = 39.3 mm

Hence, the focal length of a lens in the camera is 39.3 mm.

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The inductance of the inductor is 169Ω and the energy in the inductor is 1.48 x 10⁻³ J.

The resistance of the resistor is 13.7K and the ideal battery has EMF 73.0 V. So, the initial current in the circuit will be,

I = 73/13700

I = 5.3 mA.

The current reaches 2.95 mA after 5.46 mA.

(a). The inductance in the coil can be given by,

E = LΔI/Δt

L is the inductance and E is the EMF, So, Putting values,

73 = L(2.35)/5.46

L = 169Ω.

(b) The energy in the inductor when current is 2.95 mA,

E = 1/2LI²

Putting values,

E = 1/2 x 169 x 2.95 x 2.95 x 10⁻⁶

E = 1.48 x 10⁻³ J.

So, energy in the inductor is 1.48 x 10⁻³ J.

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The moment of inertia of this system of masses about the z-axis is 99 kg[tex]m^{2}[/tex].

Given,

Mass of first object, [tex]m_{1}[/tex] = 4 kg at (3, 4) m

Mass of second object, [tex]m_{2}[/tex] = 6 kg at 3, -4) m

The moment of inertia (I) of a system of particles is given as,

I = [tex]m_{i}x_{i} ^{2}[/tex]

Here, I = [tex]m_{1}x_{1} ^{2}[/tex] + [tex]m_{2}x_{2} ^{2}[/tex]

Moment of inertia, I = (4×[tex]3^{2}[/tex] )+ (6×[tex]3^{2}[/tex])

= (5×9) + (6×9)

= 45 + 54

I = 99 kg[tex]m^{2}[/tex]

Hence, the moment of inertia will be 99 kg[tex]m^{2}[/tex].

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The Value of the Magnetic Field (B) is V/c

a)Induced Emf in the loop is given

[tex]V = -\frac{d\phi }{dt}[/tex]

since [tex]\phi =BA[/tex]

[tex]V=-\frac{d}{dt}(BA)=-B\frac{dA}{dt}[/tex]

given dA/dt = -c

V=-B(-c)=Bc

=>[tex]B=\frac{V}{c}[/tex]

b) since induced emf V=BLv

B=(BLv)/c

c=Lv

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is moving through a magnetic field. Nearly a magnetic dipole, the Earth's magnetic field (and surface magnetic field) has two poles, one at the planet's geographic north pole (see Magnetic North Pole) and the other near its geographic south pole (see Magnetic South Pole).

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The nuclear fusion reaction occurs at temperatures approximately 107 degrees Celsius. It takes this high temperature for the nuclei to begin travelling at high speeds, increasing their kinetic energy.

Nuclear fusion is a nuclear reaction that occurs when two light nuclei collide to form a single, heavier nucleus. Because the mass of the new nucleus is smaller than the sum of the original masses, fusion releases energy. According to the concept of mass-energy equivalence, this mass difference indicates that some of the "lost" mass has been turned into energy. Fusion necessitates both extremely high temperatures in order to provide enough energy to hydrogen atoms to overcome proton repulsion. Microwaves or lasers must be employed to heat hydrogen atoms to the required temperatures.

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1. Risk-free rate 5%

2. Time until the option expires 4 yrs.

3. Strike price: $ 45mn.

4. For calculating project value & standard deviation, we need to fill in the inputs in the below table. For calculating the PV of cash flows, use discounting rate of 13%. Standard deviation: stdev(5.85,4.55,2.6) = 1.64%

5. Sum of expected cash flows at t = 0: 37.61+18.28+4.18 = $ 60.07

The above-numbered figures are the inputs for the Black Scholes model.

The Black-Scholes model is used to determine the fair value of options contracts. This formula can estimate how the price of financial instruments such as futures and stocks change over time. Black-Scholes is used to determine the fair or theoretical value of a call or put option based on six variables including volatility option type underlying price time strike price and the risk-free rate pricing model.

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Compared to visible or ultraviolet light, infrared (IR) radiation has [lower] energy.A molecule's internal bonds vibrate when it absorbs IR radiation, and each [ wavelength] produces a band in the molecule's IR spectrum.

Between visible light and X-rays on the electromagnetic spectrum is ultraviolet light.The wavelength range of UV "light" is between 10 and 400 nanometers. The wavelength of VL is about Four hundred nanometers. Hospitals use UV rays because of their potency to sterilize medical equipment. All living cells are destroyed by the high UV radiation doses. Elephants cover themselves in mud to shield themselves from the sun. Under UV light, scorpions glow. UV radiation is a type of non-ionizing radiation that is emitted by artificial sources like tanning beds and the sun. While it can produce vitamin D, which is good for people, there are also potential health risks. The sun is a natural source of UV radiation for us.

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Radio waves from the pace are gathered and reflected toward the focal point where the receiver receives them, and waves are transmitted to the recording device the same radio source is being watched by two radio telescopes. On the ground, there is a known separation between the telescopes. As a result, the radio waves from the source will reach each telescope at a little different time. The waves appear slightly differently, with one arriving a little bit later than the other. The difference is a shift in the wave's phase over time.

Due to their phase shift, the two offset waves will not precisely overlap when combined, leading to interference fringes. The angles of their observations shift as the Earth rotates and the telescopes tilt to continue monitoring their source setting.

Similar to how shadows are longer when the Sun is lower, this tracking movement of the telescopes alters the distances that radio light travels from the source to each telescope. This results in various phase delays for the waves as they approach each telescope. The more variables we see, the longer we observe. We have more viewpoints on the object we're watching the more variants there are.

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An electromagnetic wave with a frequency of 60 MHz and a speed of 3 x 108 m/s has a wavelength of 5 m .

The wave number is given by the formula k = 2/, where is the wave's wavelength. The wave's frequency is given by the formula f = /2, where is the angular frequency.

The electromagnetic spectrum is a range of frequencies, wavelengths, and photon energies that includes frequencies between 1 hertz and over 1025 Hz and wavelengths between a few kilometers and a small portion of the size of an atomic nucleus in the spectrum of electromagnetic waves.

The radio waves Radio waves are those electromagnetic waves that have the lowest frequency and longest wavelengths.

The electromagnetic wave's wavelength can be determined using the following formula:

If =v/f, then

V is the speed.

The frequency is f.

given the aforementioned variables

f = 60 MHz = 60 000 000 Hz

v = 3 x 10 m/s

= 3 x 10 /6

=5

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Yes, scientific models have limitations as it is simpler that the original objects.

Models cannot include all the info on the objects that they represent. as an instance, maps cannot consist of all of the details of the functions of the earth including mountains, valleys, and so forth. Hence they have limitations of their own respectively.

All models have barriers because they are now not representative of every feasible state of affairs. They use modern expertise and clinical statistics, but as the ones are subject to exchange, the models based totally on that know-how and statistics are a problem to alternate as properly. Scientific models always have some limitations they will never be completely accurate.

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91.655  mm of Hg pressure is lower when our blood pressure at  brain than it is at your heart.

pressure at brain= 121.8-30.135

pressure=91.655  mm Hg

Pressure is defined as force/area. To demonstrate the pressure from snow on a roof, divide the weight of the snow by the surface area of the roof. Gases are a typical pressure source in physics. A "vacuum" is used to describe the lack of pressure. Humans have long held the belief that vacuums are both improbably rare and unnatural since "nature abhors a vacuum." Actually, this is not the case.

The number of pressure units is ridiculous. It's common to use the torr or mmHg unit. This discussion is solely focused on the height of a mercury column. The atmosphere contains 760 torr, or mmHg. You could also look at mmH2O, which makes use of a comparable idea.

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As of August 2021, there are approximately 6,600 articles about SCP objects. New articles are often written by contributors.

Site-19 is an SCP Foundation facility and currently the largest operating site. It houses hundreds of Safe and Euclid class SCPs and is the most famous of the many locations under Foundation control. The foundation maintains and operates numerous facilities around the world, from small outposts with only a few employees to large complexes with thousands of employees.

Site-17 is known for containing a large team of medical and psychiatric professionals to deal with the complex nature of many SCPs. Site-17's exact location on Earth is unknown outside of Headcanon. There is a theory that SCP-096 was created as a result of SCP-1529. The theory is that 096 was once a climber trying to climb a mountain.

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Answer:

88

Explanation:

The weight placed on top of the raft so that the raft is barely submerged in pure water is 200Kg.

Mass of raft (mₓ) = 50Kg

Volume of raft (V) = 0.250 m³

Density of pure water (d) = 1000 Kg/m³

Let, weight placed on top of the raft be = m

Using Archimedes Principle and Buoyant Force,

= mg + mₓ × g = V × d × g

= mg + 50 × g = 0.250 × 1000 × g

Taking g common on both sides

= g (m+50) = g(0.250 × 1000)

= m+50 = 250

= m = 200Kg

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Tension in the Cable is 0.87 m/s6^2, Elevator's speed after it has moved 10m is 1.6*10^5 N, Work done by gravity is  1.47 * 10^3 N, Elevator Kinetic Energy is 13897.5J and Elevator Speed after rising to 10m is 4.312 m/s.

Tension is a pulling force that operates in one dimension along the cables' axes in the opposite direction from the direction of the applied force. The combined weight of the elevator box and the passenger riding inside it, in the case of an elevator, provides the pulling force in the cables is called Tension.

A moving object or particle's kinetic energy, which depends on both mass and speed, is one of its characteristics. The type of motion can be vibration, translation, rotation around an axis, or any combination of these. Kinetic energy is a type of energy that an item or particle possesses as a result of motion.

We know that,

Tension in the Cable

T = m(g+a)  = g+a = T/m = 16 * 103 / 1500 = 10.67 m/s2

a = 10.67 - 9.8 = 0.87 m/s6^2

Elevator's speed after it has moved 10m.

U^2 = u^2 +2as

= 1.22 +2*0.87*10

=1.6*10^5 N

Work done by gravity  = mg * 10 = 14700 * 10 = 1.47 * 10^3 N

Elevator Kinetic Energy = 1/2 mv^2 = 1/2*1500*18.53 = 13897.5J

Elevator Speed after rising to 10m ,

U^2 = u^2 +2as =  1.2 +2*0.87*10 = 18.6

U =(18.6)^1/2=4.312 m/s

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With a small telescope we can see the moon has regions that relatively smooth and others are saturated with Impact craters this tell us that the moon doesn't have much surface evolution.

When the moon is observed under a small telescope we can see that the some regions on the Moon are relatively smooth while some are saturated with impact craters. This discontinuity in the pattern of the surface of the Moon tell us that moon does not have surface evolution over its landscape.

When the surface of a planet evolves it shows distant pattern between the regions on it.

But because of the above mentioned certain characteristic of the regions we can tell about moon's development that the surface of the moon is not evolving that much.

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Studying the graph of entropy and temperature, we get,

1. The process corresponds to the entropy increase along the vertical segment labeled 1 is The melting point of the solid substance to a liquid.

2. The process corresponds to the entropy increase along the vertical segment labeled 2 is The boiling point of the liquid substance to a gas.

3. The entropy change for segment 2 is larger than that of segment 1 because the difference in entropy between the gas state and the liquid state is greater than the entropy differences between the solid and liquid states.

Entropy: It is a way to gauge how random something is.

Entropy is the measurement of the amount of thermal energy per unit of temperature in a system that cannot be used for productive work. Entropy is a measure of a system's molecular disorder or unpredictability since work is produced by organized molecular motion.

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The factors remain unrealistic and constant Centre of mass and gravity.

Given - The initial angular velocity is 14rad/s with an angle of rotation is 80rad.

To find out the distance formula.

[tex]Wo-w=\frac{x}{rotation}---[1]\\ \\Q=\frac{1}{4\pi \alpha \beta } -------[2][/tex]

The Rotational effect of wheel has a displacement with angle factor.

The velocity breaking and reducing the speed.

[tex]Q= \lim_{w \to \infty} W_o-w[/tex]

[tex]w=\pi \alpha +Q\\\\w-Q=\alpha \\\\w-Q=\left \{ {{y=x} \atop {y\neq x}} \right.[/tex]

The effect reduced to the decrement in displacement .

This is results in constant angle shift and uniform motion.

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