In a physics lab, 0. 500-kg cart (cart a) moving rightward with a speed of 92. 8 cm/s collides with a 1. 50-kg cart (cart b) moving leftward with a speed of 21. 6 cm/s. The two carts stick together and move as a single object after the collision. Determine the post-collision speed of the two carts.

An airplane is flying with a velocity of 42 m/s at a standard altitude of 3 km. At a point on the wing, the airflow velocity is 88 m/s. The  pressure at the point on the wing is  \(P = 6.96 * 10^4 N/m^2\).

To calculate the pressure at a point on the wing, we can use Bernoulli's equation, which relates the pressure, velocity, and density of a fluid in steady, incompressible flow.

The equation is as follows:

P + 1/2 * ρ * \(V^2\) = constant

where P is the pressure, ρ is the density of the fluid, and V is the velocity of the fluid.

Given:

\(P_1 = 7.01 * 10^4 N/m^2\) (pressure at standard altitude)

ρ = \(0.909 kg/m^3\) (density of the fluid)

\(V_1 = 42 m/s\) (velocity of the airplane)

\(V_2 = 88 m/s\) (velocity at the point on the wing)

To find the pressure at the point on the wing, we can use Bernoulli's equation for the standard altitude and the point on the wing, and then solve for P:

\(P_1 + 1/2\) * ρ * \(V_1^2\) = \(P + 1/2\)  * ρ * \(V_2^2\)

Substituting the given values:

\(7.01 * 10^4 + 1/2 * 0.909 * 42^2 = P + 1/2 * 0.909 * 88^2\)

Simplifying the equation:

\(7.01 × 10^4 + 1/2 * 0.909 * 1764 = P + 1/2 * 0.909 * 7744\)

7.01 × 10^4 + 804.906 = P + 3526.242

\(P + 4329.148 = 7.01 *10^4\)

\(P = 7.01 * 10^4 - 4329.148\)

\(P = 6.96 * 10^4 N/m^2\)

Therefore, the pressure at the point on the wing is \(P = 6.96 * 10^4 N/m^2\)

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According to the standard atmosphere, the air temperature at an altitude of 30,000 feet is 93.15 K, the air pressure is 1394.6 Pa, and the air density is 52.18 kg/m^3.

The standard atmosphere is a model of the Earth's atmosphere that describes how the temperature, pressure, and density of air change with altitude. The values for air temperature, pressure, and density at an altitude of 30,000 feet can be found in the standard atmosphere table.

The air temperature at 30,000 feet is 93.15 K, which is about -130 degrees Celsius. The air pressure at this altitude is 1394.6 Pa, which is about 1.4 psi. The air density at 30,000 feet is 52.18 kg/m^3, which is about one-tenth the density of air at sea level.

The decrease in air temperature, pressure, and density with altitude is due to the fact that there are fewer air molecules at higher altitudes. As the altitude increases, the weight of the air above decreases, and the air molecules spread out more. This results in a lower air pressure and density.

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Answer:

extrusive igneous rock

A state function does not depend on the path between the initial and final configurations.

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Answer:frequency

Explanation:

Answer:

2 m

Explanation:

The following data were obtained from the question:

Time 1 = 3 s

Time 2 = 3.5 s

Velocity = 4 m/s (constant)

Displacement =?

Next, we shall determine the change in time. This can be obtained as follow:

Time 1 = 3 s

Time 2 = 3.5 s

Change in time = 3.5 – 3

Change in time = 0.5 s

Finally, we shall determine the displacement of the bird between 3 s and 3.5 s as follow:

Velocity = 4 m/s

Time = 0.5 s

Displacement =?

Velocity = Displacement /Time

4 = Displacement /0.5

Cross multiply

Displacement = 4 × 0.5

Displacement = 2 m

Therefore, the displacement of the birth between 3 and 3.5 s is 2 m.

Answer:

1. Range = 153.42 m.

2. Maximum height = 54.78 m

3. Time of flight = 6.69 s

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

1. Determination of the range.

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Range (R) =?

The range i.e how far the ball went can be obtained as follow:

R = u² Sine 2θ /g

R = 40² × Sine (2×55) / 9.8

R = 1600 × Sine 110 / 9.8

R = 1600 × 0.9397 /9.8

R = 153.42 m

2. Determination of the maximum height.

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Maximum height (H) =?

H = u² Sine² θ / 2g

H = 40² × (Sine 55)² / 2 × 9.8

H = 1600 × (0.8192) ² / 19.6

H = 54.78 m

3. Determination of the time of flight

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Time of flight (T) =?

T = 2u Sine θ / g

T = 2 × 40 × Sine 55 / 9.8

T = 80 × 0.8192 / 9.8

T = 6.69 s

Answer:

556

Explanation:

If the crucible was not cleaned properly by heating prior to performing the experiment, the data values would be different in the following ways:

1. The initial mass of the crucible and hydrate would be greater because the crucible would have impurities and residues from previous experiments that would add to the mass.

2. The mass of water lost during heating would be less because the impurities and residues in the crucible would not be removed during heating, and therefore would not contribute to the mass of water lost.

3. The sample mass after heating would be less because the impurities and residues in the crucible would remain after heating, and therefore would not contribute to the mass of the sample.

4. The calculated % water by mass would be less because the impurities and residues in the crucible would add to the mass of the sample, but would not contribute to the mass of water lost, resulting in a lower percentage of water by mass.

Overall, the data values would be different from what they would be in an error free experiment due to the presence of impurities and residues in the crucible that were not removed prior to the experiment.

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Answer:

Fluorine is the 9th element of the periodic table. If its Neutral... It'll have an atomic mass of 19. Also Since its neutral... Number of protons and Electrons will be the same which is 9. Now the Neutron number is the Mass number - The atomic no = 19-9 = 10Neutrons

transverse : light

longitudinal : sound

transverse : up & down

longitudinal : left & right or side to side

transverse : perpendicular

longitudinal : parallel

transverse : up & down ocean wave

longitudinal : archer pulling back on a bowstring then letting go releasing the string

v = λf : speed of a wave is measured in meters per second (m/s), the wavelength is measured in meters (m), and the frequency is measured in hertz (Hz)

ANSWER:

A transverse wave has the displacement perpendicular (i.e., at right angles) to the direction of wave propagation. An example of a transverse wave is the wave on a string, where the displacement of the string is perpendicular to the direction in which the wave travels.

A longitudinal wave (also known as a compression wave or pressure wave) has the displacement parallel to the direction of wave propagation. An example of a longitudinal wave is sound waves, where the particles of the medium vibrate parallel to the direction of the wave as the wave travels through the medium.

chatgpt

Transverse waves:

The displacement of the wave is perpendicular to the direction of wave propagation.

Example: A wave on a string, where the string moves up and down while the wave moves left and right.

Simple analogy: Imagine shaking a jump rope up and down while holding it horizontally - the wave travels horizontally while the rope moves up and down.

Longitudinal waves:

The displacement of the wave is parallel to the direction of wave propagation.

Example: Sound waves, where air molecules move back and forth in the same direction as the wave.

Simple analogy: Imagine squeezing a slinky in a direction parallel to the slinky - the wave travels in that same direction while the slinky compresses and expands.

Formula used: There is no specific formula for describing the direction of wave displacement, as it depends on the type of wave. However, the speed of a wave can be calculated using the formula v = λf, where v is the speed of the wave, λ (lambda) is the wavelength, and f is the frequency.

Real-world example: Light waves are transverse waves, with the electric and magnetic fields perpendicular to the direction of propagation. This can be seen in polarization filters, which only allow light waves with a certain orientation of electric field to pass through.

Real-world example of longitudinal waves

An example of longitudinal waves in the real world is sound waves, which are pressure waves that propagate through a medium such as air, water, or solids. Sound waves are longitudinal waves because the vibrations of air molecules or particles in a medium are parallel to the direction of the wave's propagation. Examples of sound waves in daily life include the sound of a car engine, a musical instrument, or a person speaking.

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byjus

For the radius of blackhole's event horizon is given by the Schwarzschild radius, a 75 kg student, the radius of the event horizon is approximately 1.119 × 10⁻²⁷ m, and to form a black hole with a radius of 4.40 km, a gas volume of approximately 4.702 × 10¹³ m³ or 4.975 × 10⁻³ cubic light years would be needed.

To find the radius of the event horizon (Rₛ) for a 75 kg astronomy student, we can use the Schwarzschild radius formula:

Rₛ = (c²) / (2Gm)

Substituting the given values:

Rₛ = (3 × 10² m/s)² / (2 × 6.674 × 10⁻¹¹ N m²/kg² × 75 kg)

Calculating this expression:

Rₛ ≈ 1.119 × 10⁻²⁷ m

For part (b), to calculate the volume of gas needed for a black hole with a radius of 4.40 km, we need to find the mass of the gas first. The density of interstellar dust (ρ) is given as 4.0 × 10⁻²² kg/m³. The volume (V) can be calculated using the formula:

V = (4/3)πR³

Substituting the given radius:

V = (4/3)π(4.40 km)³

Converting km to meters:

V ≈ (4/3)π(4.40 × 10³ m)³

Calculating this expression:

V ≈ 4.702 × 10¹³ m³

To convert this volume into cubic light years, we need to multiply by the conversion factor. Since 1 light year is approximately 9.461 × 10¹⁵ m, the volume in cubic light-years (\(V_{ly\)) is:

\(V_{ly\) = V / (9.461 × 10¹⁵ m³/ly³)

Calculating this expression:

\(V_{ly\) ≈ 4.975 × 10⁻³ ly³

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Volum of bubble increases

Mass of gas is same

Destiny of gas in buble wil be. It joins to air

Option(D) is the correct answer.

A hard disk drive has 16 platters, 8192 cylinders, and 256 4kb sectors per track. the storage capacity of this disk drive is at most 32 GB.

An HDD is a computer's internal data storage component. It has rotating disks that store data magnetically. Data is read and written to the disk by the HDD's arm's many "heads" (transducers). The operation is comparable to that of a turntable record player, which uses an LP record (hard disk) and an arm with a needle (transducers). To access various types of data, the arm slides the heads across the disk's surface.

Since HDDs have been in use longer than SSDs, they are regarded as a legacy technology. They are often less expensive and useful for data that is not regularly accessible, such backups of pictures, movies, or business information.

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Answer:

1 cm = 10mm

Explanation:

hey there both are equal

When you park and your vehicle is facing uphill and there is no curb, your wheels should be turned so that they point towards the side of the road .

The use of physical precautions (eg bollards and barriers) is recommended to prevent vehicles crossing into walking areas, while “drive-through” parking is advised to reduce the need for reversing, combined with a one-way traffic flow system are called car parking safety rules .

If your vehicle rolls backward since , it is on a hill and it can roll back ,  you don’t want it rolling into Traffic. So you would turn your wheels towards the road so if the car rolls back it will go onto the ditch, or onto someone’s lawn and not into moving traffic.

If it ended up getting into the traffic it will be more dangerous for your car as well as for the other cars as it will increase the possibility of accident and cars can get damaged and you also will probably be held liable for the damage to the other car as well, so it is better if it rolls off of the roadway .

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Answer:

The triple point for carbon dioxide is -70°F (-57ºC) at 5.2 atm.

Explanation:

5.2 atm is 5.2 times the air pressure at sea level, the reason why this is included is because liquid CO² cannot exist below 5.2 atm, as if it were lower it would evaporate due to submilation.

Although the temperature of the triple point of carbon dioxide is -70°F (-57ºC), the pressure present is around 5. 2 atmospheres.

Carbon dioxide can adopt all three states of matter - solid, liquid, and gas - at a precise configuration of pressure and temperature. The triple point is a precise state in which the three phases exist simultaneously and are in balance.

If the triple point conditions are not obeyed, carbon dioxide may go through changes in its physical state, such as transforming into a gas or a liquid, which will be determined by fluctuations in temperature and pressure.

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\( \boxed{ \frak{Answer}}\)

We know that, by Ohm's law:

\(v \: = ir\)

but,now we have to find current I.e,

\(i = \frac{v}{r} \)

By using the above formula, we get

\(i = \frac{v}{r} \)

Here, in case of \(R_{1}\)

Voltage,V = 12V

Resistance,R = 1 ohm

Current,I = [To be calculated]

Now,

\(i = \frac{v}{r} \)

\( \implies \: i = \frac{12}{1} \)

\( \implies \: i = 12\)

In case of \(R_{2}\)

Voltage,V = 12V

Resistance,R = 1 ohm

Current,I = [To be calculated]

By ohm's law:

\(i = \frac{v}{r} \)

\( \implies \: i = \frac{12}{1} \)

\( \implies \: i = 12\)

Again,in case of \(R_{3}\)

Voltage,V = 12V

Resistance,R = 3 ohm

Current, I = [To be calculated]

By ohm's law:

\(i = \frac{v}{r} \)

\( \implies \: i = \frac{12}{3} \)

\( \implies \: i = 4\)

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Answer:

106 single crossover events

Explanation:

Total number of offspring = 1250

Determine the number of offspring that would be expected

( Rf between the genes vg and Pr ) * ( Total number of progeny )

  =   0.125 * 1250 ≈ 156 ( value for single and double crossovers )

next :

( value of the Rf of double crossovers ) * ( Total number of progeny )

= (0.322 * 0.125) = 0.04025  * 1250 = 50

Hence the number of offspring expected to obtain/represent a single crossover event between pr and vg

=  156 - 50 =  106

Answer:

a)200 mph

b)80 mph

c)-40 mph

d)97 mph

e)56 mph

(note: i rounded the answer for d, it was a repeating decimal)

Explanation:

a) 3s-0s=3s 600m-0m=600m 600m/3s=200m/s

and it is the same for the rest. Use the explanation for A as a example.

So you take the final variable or speed and subtract it by the starting, then divide that by the time elapsed. Hope this helped!

Answer:

The kinetic energy of an object can be found if the object's mass and velocity are know because kinetic energy is energy possessed by a body due to its motion

Explanation:

Answer:

50kPa and if the area decreases, the pressure increases

Explanation:

P=F/A; P=pressure, F=force, A=area

85000N/1.7 m^2 = 50000 N/m^2; Pa = Pascal = N/m^2

=50 kPa

Answer:

friction

air drag

every thing that opposes the motion affects kinetic energy

Explanation:

kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest

potential energy ∝ 1/(kinetic energy)

as kinetic energy increases potential energy decreases

Answer:

B

Explanation:

V=IR    I= curren V=volt R=resistor

8=2.R   8/2=R R=4

Answer:

C

Explanation:towards Erin

The rope will move towards Erin because, the force between them is unbalanced and the more force is exerted by Erin. Hence, the displacement will occur on the greater force side.

Force is an external agent acting on a body to change its motion or to deform it. The net force acting on the body depends on the direction and magnitude of all  the force acting on it.

If two equal forces acts on the body from the same side they add up together and the net force is their sum. If the forces are acting from the opposite sides, they will cancel each other and is said to be balanced.

Here, two forces from the side is un balanced by a force from the opposite side. Hence, the greater force from Erin will make the rope displaced towards her side. Thus, option C is correct.

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The testes are the primary male reproductive organs responsible for producing testosterone.

Vas Deferens: Also known as the ductus deferens, it is a muscular tube that carries mature sperm from the epididymis to the ejaculatory ducts.

Seminal Vesicles: These glands produce a fluid rich in fructose and other nutrients, which helps nourish and provide energy to the sperm.

Prostate Gland: It is a walnut-sized gland that produces a milky fluid containing enzymes, proteins, and other substances that contribute to se men formation.

Cowper's Glands: These small glands secrete a clear, alkaline fluid that lubricates the urethra and neutralizes any acidic urine remnants, creating a favorable environment for sperm.

Urethra: This is a tube that runs  serves as a passage for both urine and semen, though not at the same time.

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Answer: Yes. Please find the answer in the explanation.

Explanation:

Yes. Since velocity is a vector quantity, that is, it has both magnitude and direction.

If the displacements covered are not of the same direction, the velocity will not also of the same direction.

Take for instance, if the velocity in a positive is 40 m/s and velocity in the opposite direction is - 20 m/s . Then, the resultant velocity will be 40 - 20 = 20 m/s

Therefore,  it is possible that at any time during their trip their velocity was -20 m/s.

Answer: c. The electric force increases

Explanation:

If the distance between two charged particles decreases, the electric force between them increases.

According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the equation can be represented as:

F = k * (q1 * q2) / r^2

Where:

F represents the electric force between the particles.

k is the electrostatic constant.

q1 and q2 are the charges of the particles.

r is the distance between the particles.

As the distance (r) between the particles decreases, the denominator of the equation (r^2) becomes smaller, causing the overall electric force (F) to increase. Conversely, if the distance between the charged particles increases, the electric force between them decreases. This inverse relationship between the distance and electric force is a fundamental characteristic of the electrostatic interaction between charged objects.

Explanation:

CON EL TEOREMA DE PITÁGORAS

v = \(\sqrt{(12 km/h)^{2} + (25 km/h)^{2}}\) = 27.7 km/h

Answer:

22.5kg

Explanation:

Since we not told wat to find, we can as well find the mass of the beaver.

Kinetic energy formula is expressed as;

KE = 1/2mv²

m is the mass

v is the speed

Given

KE = 45Joules

v = 2.0m/s

Substitute into the formula and get the mass

45 = 1/2m(2)²

45 = 2m

m =45/2

m = 22.5kg

Hence the mass of the beaver is 22.5kg