Show all work and answer all 4 parts. Projectile motion. 20 points. Thank you.

Answer:

\(power \: = \frac{energy}{time} \\ = \frac{mgh}{t} \\ = \frac{ml {t}^{ - 2}l }{t} \\ = m {l}^{2} {t}^{ - 3} \\ thank \: you\)

The proof that can be used to show the mass energy equivalence os given below.

According to Einstein, mass energy equivalence is represented by

E=mC²

As Einstein's theory of relativity tells us, the equation that relates mass and energy is given by:E = mc²

in which E stands for energy, m refers to mass, while c denotes the speed of light in a vacuum.

In order to switch mass from kg units to electronvolts (eV), we can use this conversion factor:

1 kg = 5.610 × 10^35 eV/c^2

As IMEV = 1.6 × 10^-13J

E = 1.49 × 10^-10 / 1.6 × 10^-13

E = 931.25MeV

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The coefficient of kinetic friction between block A and the tabletop is 0.336.

The weight of block A = 43.2 N

The weight of block B = 29.0 N

(a) The downward motion of block B is constant
(b) The acceleration of block B is  -0.00069 m/s²

(a)

The net force acting on the block B will be,

F_net = T - f_fric = m_b × a

Where

T is the tension in the string,

f_fric is the frictional force acting on the block A,

m_b is the mass of block B and

a is the acceleration of block B.

Also,

T = m_b × g = 29.0 N

where g is the acceleration due to gravity.

And as the block is moving with constant velocity, the acceleration of block B is zero.

So, F_net = 0

T - f_fric = 0

f_fric = T

The frictional force f_fric can be expressed as

f_fric = μ_k × N

where N is the normal force.

The normal force on block A is the weight of block A + the weight of the cat,

so,

N = m_Ag + m_catg

The mass of the cat is also 43.2 N.

Thus, N = 43.2 N + 43.2 N = 86.4 N

Therefore,

μ_k × N = T

μ_k = T/N

μ_k = 29.0/86.4

μ_k = 0.336

The coefficient of kinetic friction between block A and the tabletop is 0.336.

(b)

The net force acting on the block B is F_net = T - f_fric

F_net = m_b × a

Where T is the tension in the string,

f_fric is the frictional force acting on the block A,

m_b is the mass of block B and

a is the acceleration of block B.

T = 29.0 N

f_fric = μ_k × N

f_fric = 0.336 × 86.4

f_fric = 29.02 N

F_net = T - f_fric

F_net = 29.0 - 29.02

F_net = -0.02 N

Thus, F_net = m_b × a

-0.02 N = 29.0 N × a

a = -0.02/29.0

a = -0.00069 m/s²

The acceleration of block B is negative and it is slowing down.

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Answer:

Your correct answer is shown down below so that you know...

Explanation:

If you didn't know, a hypothesis is known as an educated guess that can be tested with observations and falsified if it really is false. You cannot prove conclusively that most hypotheses are true because it's generally impossible to examine all possible cases for exceptions that would disprove them.

Answer:

You cannot prove a hypothesis to be true

Explanation:

Answer:

f=force m=mass and a=acceleration

The air density on the summer day with an air temperature of 74ºF and a barometric pressure of 14.5 lbf/in^2 (psia) is approximately 1.165 kg/m^3.

To find the air density in kg/m^3, we can use the ideal gas law and convert the given units to the required SI units.

The ideal gas law states:

PV = nRT

Where:

P is the absolute pressure (in Pascals, Pa)

V is the volume (in cubic meters, m^3)

n is the number of moles of gas

R is the ideal gas constant (8.314 J/(mol·K))

T is the absolute temperature (in Kelvin, K)

First, let's convert the temperature from Fahrenheit to Kelvin:

T_K = (T_F - 32) * (5/9) + 273.15

Given:

T_F = 74ºF

T_K = (74 - 32) * (5/9) + 273.15 = 297.04 K

Next, let's convert the pressure from pounds per square inch absolute (psia) to Pascals (Pa):

P_Pa = P_psi * 6894.76

Given:

P_psi = 14.5 lbf/in^2 (psia)

P_Pa = 14.5 * 6894.76 = 99948.82 Pa

Now, we can rearrange the ideal gas law equation to solve for density (ρ):

ρ = (P / (R * T)) * (M / V)

Where:

ρ is the air density (in kg/m^3)

P is the absolute pressure (in Pa)

R is the ideal gas constant (8.314 J/(mol·K))

T is the absolute temperature (in K)

M is the molar mass of air (approximately 0.02897 kg/mol)

V is the volume (in m^3)

Substituting the known values:

ρ = (99948.82 / (8.314 * 297.04)) * (0.02897 / V)

Since we are given the temperature and pressure but not the volume, we cannot determine the air density precisely without additional information.

However, if we assume the air is at standard atmospheric conditions and use the standard molar volume of an ideal gas at 273.15 K and 101.325 kPa (or 1 atm), we can estimate the volume V as:

V = 22.414 m^3/mol

Using this estimated volume, we can calculate the air density:

ρ = (99948.82 / (8.314 * 297.04)) * (0.02897 / 22.414)

Calculating this expression, we find:

ρ ≈ 1.165 kg/m^3

Therefore, under the given assumptions and estimates, the air density on the summer day with an air temperature of 74ºF and a barometric pressure of 14.5 lbf/in^2 (psia) is approximately 1.165 kg/m^3.

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Answer:

1) 50 km/h

2)80/9 m/s

Explanation:

Speed = Distance / time

A star with many red and blue absorption lines must be moving away from the observer. Option c is correct answer.

This is because the presence of redshifted (longer wavelength) absorption lines and blueshifted (shorter wavelength) absorption lines indicates that the star's spectrum has been shifted toward longer wavelengths.

This can occur if the star is moving away from the observer, causing the Doppler effect to shift its spectral lines toward the red end of the spectrum. The presence of many absorption lines in the star's spectrum indicates that the star is of a different composition than a star with many blue absorption lines, which would indicate a hotter star with a different set of spectral lines.

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--The complete question is, Compared with a star having many blue absorption lines, a star with many red and blue absorption lines must be

(a) cooler

(b) of different composition

(c) moving away from the observer

(d) moving away from the other star--

It takes about 1.5 seconds for the long jumper to fall 11 meters.

The initial horizontal velocity of a long jumper is 12 m/s. The acceleration due to gravity is 9.81 m/s².

A long jump is a track and field event in which athletes compete by jumping into a sandpit from a raised takeoff point known as a board. A long jumper runs down the track and, while on the board, jumps into the air before landing in a sandpit.

The time it takes for a jumper to fall 11 meters is calculated using the following formula:

Formula: h = 0.5gt²

Where,

h = 11m (The height fallen)

g = 9.81m/s² (The acceleration due to gravity)

t = ? (The time taken to fall)

Using the formula:

h = 0.5gt²

11 = 0.5 × 9.81 × t²

22 = 9.81 × t²

t² = 22/9.81

t = √(22/9.81)≈ 1.5 s

Therefore, it takes about 1.5 seconds for the long jumper to fall 11 meters.

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The speed of the skydiver is 14 m/s after falling 10 m.

Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.

In another words:

change in kinetic energy = - change in potential energy

final kinetic energy - initial kinetic energy = initial potential energy - final potential energy

⇒ mv²/2 - 0 = mgΔh

⇒ v = √(2gΔh)

= √( 2 × 9.8 × 10) m/s

= 14 m/s.

Hence, her speed is 14 m/s after falling 10 m.

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To calculate the speed of a satellite in circular orbit around a planet with a known radius is the radius of the planet and the mass of the planet.

The speed of a satellite in a circular orbit is determined by the gravitational pull of the planet it orbits. In this case, the radius of the planet is essential because it helps determine the distance between the satellite and the planet's center.

The mass of the planet is also crucial because it affects the strength of the gravitational force acting on the satellite. By combining these two pieces of information, you can calculate the speed of the satellite using the formula for centripetal acceleration, which relates the gravitational force to the satellite's speed and the radius of its orbit.

Calculating the speed of a satellite requires understanding the principles of gravitational force and circular motion. In a circular orbit, the gravitational force acting on the satellite provides the centripetal force needed to keep it moving in a curved path.

The magnitude of the centripetal force is determined by the mass of the planet and the distance between the satellite and the planet's center, which is equivalent to the sum of the planet's radius and the satellite's altitude above the planet's surface.

Using Newton's law of universal gravitation, which states that the gravitational force is proportional to the product of the masses and inversely proportional to the square of the distance between them, you can derive the formula for the speed of the satellite.

By equating the gravitational force to the centripetal force and solving for the satellite's speed, you can express it in terms of the radius of the planet and the mass of the planet.

This calculation assumes a circular orbit, neglecting any atmospheric drag or other external forces acting on the satellite. It also assumes that the mass of the satellite is insignificant compared to the mass of the planet.

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The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.

By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.

The following equation relates the distance to the direction and initial velocity:

d = [v₀²sin2θ]/g, where θ – the angle of the jump.

Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62

v₀ = 10.65 m/s ( the take off speed).

The horizontal velocity equals:

vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s

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There is a closed circuit with the bulb when the circuit's wires are attached to the metal casing and metal tip of the lightbulb. The filament will be able to conduct electricity, which will result in the bulb lighting up.

An electrical current travels from one metal contact to the next when a light bulb is connected to an electrical power source. The filament heats up as the current flows through the wires and through it, causing it to start emitting photons, which are tiny packets of visible light.

the absence of grounding in a circuit Unwanted voltage cannot be securely avoided, hence there is a risk. It is possible for exposed metal parts in broken appliances to get electrified if there is no safe way for fault currents to reach ground.

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A

is to mutilpy to each other

When A car accelerates from 10 m/s to 22 m/s in 6 seconds, the average acceleration of the car is 2 m/s². Hence, option (D) is correct

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Initial speed of the car = 10 m/s.

Final speed of the car = 22 m/s.

Time internal = 6 seconds.

The average acceleration of the car is = change in speed/time interval

= (final speed - initial speed)/time interval

= (22 m/s - 10 m/s)/6 seconds

= 12 m/s / 6 seconds

= 2 m/s²

Hence, the average acceleration of the car is  2 m/s².

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Answer:true

Explanation:

red light is better able to pass completely through Earth's atmosphere and reach the moon

Answer:

twice

just know it

Answer:

q = 0.384 C

Explanation:

The total charge present at the head can be easily found out by multiplying the charge on a single electron with the total number of electrons present on the head:

\(q = ne\)

where,

q = total charge on head = ?

n = total no. of electrons on the head = 2.4 x 10¹⁸

e = charge on 1 electron = 1.6 x 10⁻¹⁹ C

Therefore,

\(q = (2.4\ x\ 10^{18})(1.6\ x\ 10^{-19}\ C)\)

q = 0.384 C

Answer:

D

Explanation:

The tectonic plates move on the mantle, sort of floating on it as they are part of the crust. When they collide things like mountain ranges form, and big earthquakes happen.

The correct option is C ; Water vapor , Water vapour is water that is gaseous rather than liquid. It can be generated by either evaporation or sublimation.

Water vapour, unlike clouds, fog, or mist, which are just suspended particles of liquid water in the air, cannot be seen since it is in gaseous form.

Water vapor has the same chemical formula as regular water - H2O - but the water molecules in vapor interact with each other less and are not as organized as they are in water and ice. Pressure, temperature, and relative humidity all influence whether water is liquid or gas.

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Light has both a wave and a particle nature. Particles have a wave nature as well, and therefore their position can not be specified with absolute precision

This is a consequence of the Heisenberg uncertainty principle enunciated in 1927, after the works of the French physicist Louis De Broglie who proposed the existence of matter waves, that is to say, that all matter has a wave associated with it.

The uncertainty principle postulates that the fact that each particle has a wave associated with it, imposes restrictions on the ability to determine its position and speed at the same time.

It is impossible to measure simultaneously (according to quantum physics), and with absolute precision, the value of the position and the momentum (linear momentum) of a particle.

So, the greater certainty is sought in determining the position of a particle, the less is known about its linear momentum and, therefore, its mass and velocity.

It should be noted that this uncertainty does not derive from the measurement instruments, but from the measurement itself. Because, even with the most precise devices, the uncertainty in the measurement continues to exist.

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Radio waves allows the charges in the receiving antenna to respond to the electric field portion of the carrier wave.

This refers to a type of disturbance which transports energy from one place to another without the actual movement of the particles and of various types such as  microwaves, radio waves etc.

The radio wave allows the electrons in the rod to vibrate with amplitudes which emulates those of the carrier wave and in this case, it is the antenna thereby resulting in the signals in the car radio being provided as a result of these type of interactions.

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Answer:

Use the method on the image and solve it.

The train is accelerating with an initial velocity of 23 m/s, a final velocity of 190 m/s in the time period of 54 seconds, then the acceleration will be 3.09 m/s².

Velocity is the measurement of a particle's or object's displacement with relation to time. The recognized unit of magnitude for velocity is the meter per second (m/s) (also known as speed).

There are several ways to show a velocity vector's direction, depending on how many dimensions are provided.

The given values in the question are,

Initial velocity, u = 23 m/s

Final velocity, v = 190 m/s and,

Time, t =54 seconds.

By putting the formula of the equation of motion :

v = u + at

190 = 23 + (a)(54)

a = 167/54

a = 3.09 m/s².

Hence, the acceleration of the train is equal to 3.09 m/s².

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To convert g/cm³ to kg/m³, multiply the value in g/cm³ by 1000. For example, 2.5 g/cm³ is equivalent to 2500 kg/m³.

To convert grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), you can use the following conversion factor:

1 g/cm³ = 1000 kg/m³

To convert from g/cm³ to kg/m³, simply multiply the value in g/cm³ by 1000.

For example, let's say you have a density of 2.5 g/cm³. To convert it to kg/m³, you would do the following calculation:

2.5 g/cm³ * 1000 = 2500 kg/m³

So, 2.5 g/cm³ is equivalent to 2500 kg/m³.

Certainly! Density is a measure of how much mass is contained in a given volume. It is typically expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).

The conversion from g/cm³ to kg/m³ involves scaling the density by a factor of 1000. This is because there are 1000 grams in a kilogram and 1 cubic meter is equivalent to 1,000,000 cubic centimeters.

When you convert from g/cm³ to kg/m³, you are essentially converting from a smaller unit (gram) to a larger unit (kilogram) and from a smaller volume (cubic centimeter) to a larger volume (cubic meter). This means that the resulting value in kg/m³ will be larger than the original value in g/cm³.

For example, if you have a material with a density of 0.75 g/cm³, to convert it to kg/m³, you would multiply by 1000:

0.75 g/cm³ * 1000 = 750 kg/m³

So, the density of the material is 750 kg/m³.

It's important to remember that when converting units, you need to consider the relationship between the units and the appropriate conversion factors. In this case, the conversion factor is based on the relationship between grams and kilograms (1000 grams = 1 kilogram) and the relationship between cubic centimeters and cubic meters (1,000,000 cubic centimeters = 1 cubic meter).

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Answer:

Vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude. Although a vector has magnitude and direction, it does not have position

The length of the tungsten wire is 13.7 cm.

To find the length of the tungsten wire, we need to first find its volume. We know the density of tungsten, which is 19.25 g/cm³, and the mass, which is 39.7 g. We can use the formula for the volume of a cylinder, which is πr²h, where r is the radius and h is the height (which is equal to the length of the wire in this case).

First, we'll find the volume:

V = πr²h

V = π (3.79 mm)²h

V = 11.05 mm³h

Next, we'll convert the volume to cubic centimeters (cm³):

11.05 mm³ = 11.05 x 10^-9 cm³

Now that we have the volume in cm³, we can use the density formula to find the mass:

m = ρV

m = 19.25 g/cm³ x 11.05 x 10^-9 cm³

m = 0.2103 g

Finally, we'll use the mass and density to find the length:

m = ρV

0.2103 g = 19.25 g/cm³ x V

V = 0.2103 g / 19.25 g/cm³

V = 0.0109 cm³

And since the volume is equal to πr²h, we can find the height (which is the length of the wire) by rearranging the formula:

V = πr²h

h = V / πr²

h = 0.0109 cm³ / π (3.79 mm)²

h = 13.7 cm

So the length of the tungsten wire is 13.7 cm.

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Answer:

Construction pulleys are used in order to lift and place heavy materials. Curtains at a theatre are moved using pulley systems that pull the curtains apart. Blinds on windows operate using a pulley system to move the blinds up and down.

We use pulleys for things like and elevators, cranes, and bikes.

The speed of the recoil electron after collision is 2.33*\(10^{6}\)m/s

Conservation of momentum is a major law of physics which states that momentum of a system is constant if no external forces are acting on the system. It is embodied in the Newton’s First Law or The Law of Inertia.

The law of conservation of the momentum is generously confirmed by experiment and can even be mathematically deduced on reasonable presumption that space is uniform.

From conservation of momentum and

p=E/C= h/F/c= h/λ

we have p= -p=mv;

so that v=2p/m= 2h/mλ

where h= plank's constant= \(6.63*10^{-34}\) J.s

m= electron mass= \(9.11*10^{-31}\)kg

and λ= 0.62395*\(10^{-9}\)m

v= \(2*6.623*10^{-34}/0.62395*10^{-9}*9.11*10^{-34}\)

 = 2.33*\(10^{6}\)m/s

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That's true.

They're radio waves, at the frequency of 2.45 GHz (in all microwave appliances manufactured in the US).