Which type of star will burn hydrogen in its core?
A. red giant
B. main sequence
C. black dwarf
D. neutron star
...?

Answer:

The correct option is [tex]478N[/tex]

Explanation:

Between two objects of a certain mass exists a force call the gravitational force. This force is the ''attraction'' force between the objects.

The equation to calculate this force is :

[tex]F_{G}=\frac{G.m_{1}.m_{2}}{d^{2}}[/tex] (I)

Where [tex]F_{G}[/tex] is the gravitational force.

Where G is the gravitational constant.

[tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the masses of each object.

And [tex]d[/tex] is the distance between the objects (In fact is the distance between the mass centroid of each object).

In order to calculate the gravitational force, we need to replace the data in the equation.

The distance [tex]50000km[/tex] is equal to :

[tex]50,000km.(\frac{1000m}{1km})=50,000,000m[/tex]

Now, if we replace in the equation (I) all the data :

[tex]F_{G}=\frac{(6.673).(10)^{-11}\frac{Nm^{2}}{kg^{2}}.3000kg.(5.98).10^{24}kg}{(50,000,000m)^{2}}=478.854N[/tex]

[tex]F_{G}=478.854N[/tex] ≅ 478 N

We find that the magnitude of the force of gravity acting on the spaceship is 478 N.

Answer:

Gallons per minute, because the independent quantity is volume of water in gallons and dependent quantity is time in minutes.

Explanation:

As we know that gallons is the unit of volume which is used in US to measure volume of gas as well as liquids while time is measured in minutes.

Now we know that if we need to find the volume flow rate then in that case the measurement is done to find the amount of fluid flow per unit of time

so here since volume flow is an independent variable which do not depends on any other parameter while time is a dependent variable here which is given as

[tex]flow \: rate = \frac{dV}{dt}[/tex]

so correct answer will be

Gallons per minute, because the independent quantity is volume of water in gallons and dependent quantity is time in minutes.

By definition, the mechanical advantage is the relationship that exists between the output force or load lifted and the value of the force applied.

Thus, using the definition, we have that the mechanical advantage is given by:

[tex] MA = \frac{100}{100}

MA = 1
[/tex]

Therefore, the mechanical advantage of lifting the box by using a pulley is equal to 1.

Answer:

The mechanical advantage in this situation is:

Equal to 1

Answer :

(a) The acceleration is, [tex]0.278m/s^2[/tex]

(b) Distance it travels during this time is, 156.225 m

Solution for part (a) :

Formula used :

[tex]a=\frac{v-u}{t}[/tex]

where,

a = acceleration

v = final velocity = [tex]45Km/hr=45\times \frac{5}{18}=12.5m/s[/tex]

u = initial velocity = [tex]30Km/hr=30\times \frac{5}{18}=8.33m/s[/tex]

t = time = 15 s

Now put all the given values in the above formula, we get

[tex]a=\frac{(12.5-8.33)m/s}{15s}=0.278m/s^2[/tex]

Therefore, the acceleration is, [tex]0.278m/s^2[/tex]

Solution for part (b) :

Formula used :

[tex]s=u\times t+\frac{1}{2}a\times t^2[/tex]

where,

s = distance traveled

Now put all the given values in this formula, we get

[tex]s=(8.33m/s)\times (15s)+\frac{1}{2}\times (0.278m/s^2)\times (15s)^2=156.225m[/tex]

Therefore, the distance it travels during this time is, 156.225 m

The acceleration of the train is 0.278 m/s² and the distance traveled by the train is 156.23 m.

The given parameters;

The acceleration of the train is calculated by using the kinematic equation as follows;

[tex]a = \frac{\Delta v}{\Delta t}= \frac{12.5 - 8.33}{15} = 0.278 \ m/s^2[/tex]

The distance traveled by the train is calculated using the third kinematic equation as shown below;

v² = u² + 2as

[tex]s = \frac{v^2 - u^2}{2a} \\\\s = \frac{(12.5)^2 - (8.33)^2}{2(0.278)} \\\\s = 156.23 \ m[/tex]

Thus, the acceleration of the train is 0.278 m/s² and the distance traveled by the train is 156.23 m.

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The smallest change in energy levels corresponds to the longest wavelength of emitted radiation. Based on the options, the electron moving from 2 to 1 would result in the longest wavelength.

The energy-level change which emits electromagnetic radiation with the longest wavelength would be the smallest change in energy levels. According to the Planck-Einstein relation, the energy of a photon is inversely proportional to the wavelength. Thus, less energy transition implies longer wavelengths. Referring to the available options, an electron moving from 2 to 1 (option d) represents the smallest energy change and therefore emits radiation with the longest wavelength.

The energy-level change that emits electromagnetic radiation with the longest wavelength is when an electron moves from energy level 6 to energy level 1. This is because the energy difference between the highest and lowest energy levels is the greatest, resulting in the emission of photons with longer wavelengths.

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Answer:

The time is 4.692 sec.

Explanation:

Given that,

Height [tex]h = 2.80t^3[/tex]

Time t = 1.55 s

We know that,

The rate of change of height is the velocity.

So, the velocity is at t = 1.55 s

[tex]\dfrac{dh}{dt}= v = 3\times2.80\times(1.55)^2[/tex]

[tex]v=20.181\ m/s[/tex]

The velocity is upward with respect to the ground

We need to calculate the distance above the releasing point

Using equation of motion

[tex]v^2=u^2-2gs[/tex]

Put the value into the formula

[tex]s=\dfrac{v^2}{2g}[/tex]

[tex]s=\dfrac{20.181^2}{2\times9.8}[/tex]

[tex]s=20.77\ m[/tex]

The height of the  helicopter releases a small mailbag

[tex]h=2.80\times(1.55)^3[/tex]

[tex]h = 10.43\ m[/tex]

We need to calculate the time

Using equation of motion

[tex]s=ut-\dfrac{1}{2}gt^2+h[/tex]

Put the value into the formula

[tex]0=20.77\times t-\dfrac{1}{2}\times9.8\times t^2+10.43[/tex]

[tex]t=-0.454,4.692[/tex]

On neglecting negative value of time

Hence, The time is 4.692 sec.

The correct answer to the question is D).3600 N.

CALCULATION:

As per the question, the mechanical advantage of the machine MA = 4.5.

The force applied to the machine [tex]F_{i} =\ 800\ N[/tex].

We are asked to calculate the output force of the machine .

Let the output force is denoted as [tex]F_{o}[/tex].

The mechanical advantage of a machine is defined as the force amplification of a machine by using certain mechanical devices.

Mathematically it is defined as the ratio of output force to the applied or input force.

Hence, mechanical advantage MA = [tex]\frac{f_{o}} {f_{i}}[/tex]

Hence, the output force is calculated as -

                               [tex]f_{0}=\ MA\times f_{i}[/tex]

                                      [tex]=\ 4.5\times 800 N[/tex]

                                      [tex]=\ 3600\ N[/tex]             [ANS]

Hence, the output force is 3600 N.

Answer:

The answer is d

Explanation:

The disappearance of one species in an ecosystem can lead to increased competition, growth of different species communities, or even the extinction of other related species. In extreme cases, it could result in the loss of the whole ecosystem.

After one species disappears from an ecosystem, other species present in that ecosystem can be faced with a variety of scenarios. In some cases, a species that was competing with the now-extinct species for resources might thrive due to the lessened competition (scenario d and c). This could lead to a shift in the ecosystem's structure, particularly if the extinguished species was a dominant one.

Alternatively, another mature community with different species may quickly grow in place of the original community (scenario b). Therefore, in an ecosystem, the extinction of one species can lead to the emergence of new species or change the abundance of existing ones.

However, it's crucial to remember that ecosystems are a delicate balance of interactions between species, loss of a single species could lead to the extinction of related species as well (scenario on plant extinction). In extreme cases, the entire ecosystem could disappear (scenario of ecosystem diversity), which has significant environmental and economic impacts.

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Simple machines are not variations of two basic machines; there are actually six types of simple machines: levers, pulleys, screws, inclined planes, wedges, and wheels and axles.

False. Simple machines are not variations of two basic machines. In fact, there are six types of simple machines: levers, pulleys, screws, inclined planes, wedges, and wheels and axles.

Answer: 0.1

Explanation:

i have this question and it’s the only answer not listed.

Final answer:

The life cycle of a star begins in a nebula and can end as a white dwarf, neutron star, or black hole, depending on its mass. The main sequence and red giant phases are critical stages in a star's evolution.

Explanation:

The life cycle of a star is a fascinating journey from birth to death, marked by transformations driven by nuclear processes and the gravitational pull. Understanding this cycle offers insights into the transient nature of celestial bodies and the forces shaping our universe.

Birth in a Nebula

Stars begin their lives in nebulae, massive clouds of gas and dust. Over millions of years, these clouds contract under gravity, heating up the core until nuclear fusion starts, marking the birth of a new star.

Main Sequence Stars

Once a star begins fusing hydrogen into helium in its core, it enters the main sequence phase, which can last billions of years, depending on its mass. Our Sun is currently halfway through this stage, expected to last a total of about 10 billion years.

Red Giant

As a star exhausts its hydrogen fuel, it expands into a red giant. For a Sun-like star, this phase will see it swell significantly, engulfing nearby planets.

Planetary Nebula and White Dwarf

Eventually, the outer layers of the red giant are ejected, leaving behind a planetary nebula. The core that remains cools and contracts into a white dwarf, marking the end of its life cycle. For stars like our Sun, this white dwarf will slowly fade over billions of years.

Massive Stars' Fate

Larger stars may undergo more dramatic endings, including supernova explosions, leaving behind neutron stars or black holes, depending on their mass.

Final answer:

The equilibrant force is equal in magnitude but opposite in direction to the net force. It is introduced to achieve equilibrium, cancelling out the net force and resulting in no acceleration.

Explanation:

The equilibrant is a force that is equal in magnitude but opposite in direction to the net force acting upon a point or object. When forces are perfectly balanced, the net force is 0 N, and the object remains in a state of equilibrium. In contrast, when there is a resultant force, the object will experience acceleration in the direction of the net force. However, by introducing an equilibrant force, we can return the system to equilibrium, effectively cancelling out this acceleration.

For instance, if two unequal forces act on an object in opposite directions, the net force would be the difference between those two forces, in the direction of the larger force. To achieve equilibrium, an equilibrant force must be introduced with the same magnitude as this net force but directed oppositely. If both forces act in the same direction, then the net force is the sum of the two forces, and an equilibrant, to balance the system, would again need to be of the same size but act in the opposite direction.

Answer:

The juice contains sugars, plant pigments, and other chemicals dissolved in water. This is a solution.  The pieces of orange pulp will rise to the top or settle to the bottom of the juice if it is allowed to sit.  The pieces of pulp mixed with the juice form a suspension.

Explanation:

Final answer:

The orange juice can be considered a combination of a suspension and a solution because it contains both suspended particles of orange pulp and dissolved species, such as juice molecules and ions.

Explanation:

The orange juice can be considered a combination of a suspension and a solution because it contains both suspended particles of orange pulp and dissolved species, such as juice molecules and ions.

The orange pulp in the juice is an example of a suspension, which is a heterogeneous mixture composed of relatively large particles that are visible. The pulp particles are suspended in the juice and can settle out over time.

On the other hand, the juice itself is a solution, which is a homogeneous mixture where no settling occurs. The dissolved juice molecules and ions are evenly distributed in the liquid, giving it a transparent appearance.

The maximum height that the football would reach which is the vertical component of it's velocity at the highest point of it's trajectory is 10m.

Velocity is the directional speed of a moving object as an indication of its rate of change in position. It is observed from a specific frame of reference and measured by a specific time standard.

As, the boy kicks the football at an angle, the ball will follow a parabolic projectile path due to the effect of gravitational force. The velocity of the ball would be equal to zero at its maximum height.

We can derive the following equation from the equations for projectile motion:

Maximum height = velocity × sin Θ

Maximum height = 20 m / s × sin 30°

                             = 20× 1/2

                              =10m

Therefore, the maximum height that the ball would reach would be 10 m.

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Final answer:

The wavelength of the ultrasound is approximately 0.01482 meters.

Explanation:

The wavelength of ultrasound can be calculated using the formula:

λ = v/f

Where:

λ is the wavelength

v is the speed of sound in the medium

f is the frequency of the ultrasound

In this case, the frequency of the ultrasound is 100 kHz, which can be converted to 100,000 Hz. The speed of sound in water at 20°C is approximately 1482 m/s. Substituting these values into the formula, we get:

λ = 1482 m/s / 100,000 Hz

λ ≈ 0.01482 m

The wavelength of the ultrasound is approximately 0.01482 meters.

Answer:

Maximum height will be 85 meter

Explanation:

given that height of an object is function of time and it is given as

[tex]h(t) = -4.9 t^2 + 20t + 65[/tex]

here we can write it as

[tex]h(t) - 65 = 20 t + \frac{1}{2}(-9.8) t^2[/tex]

now we can compare it with the kinematics equation

[tex]y(t) - y_o = v_i t + \frac{1}{2}at^2[/tex]

now if we compare the two equations then we will have

initial height of object = 65 m

initial velocity of projection = 20 m/s

acceleration = - 9.8 m/s/s

now for the maximum height at which its final speed will become zero is given as

[tex]v_f^2 - v_i^2 = 2a(h - h_o)[/tex]

[tex]0 - 20^2 = 2(-9.8)(h - 65)[/tex]

[tex]-400 = -19.6(h - 65)[/tex]

[tex]h = 85.4 m[/tex]

So maximum height in meter in nearest integer will be 85 m

Answer:

the substance that produces the magnetic field.

Explanation:

Answer:

A.  1.6 × 105 joules

Final answer:

The total kinetic energy remains the same in a perfectly elastic collision. Since the two identical masses have identical speeds initially, their joined kinetic energies will be 1.6 × 10⁵ joules after the collision, same as before.

Explanation:

In a perfectly elastic collision, both momentum and kinetic energy are conserved. Since the two masses are identical and approach each other with the same speed, they will bounce back with the same speed after the collision, assuming no external forces act on the system. The kinetic energy of the system before the collision can be calculated using the formula KE = 0.5 × m × v² for each mass and then adding the two values together.

For each mass, KE = 0.5 × 1.0 × 10³ kg × (12.5 m/s)². Calculating this we get KE = 0.5 × 1.0 × 10³ × 156.25 = 78,125 Joules. Since there are two masses, the total kinetic energy would be 2 × 78,125 J = 156,250 Joules.

Immediately after collision, because it is perfectly elastic, the same amount of kinetic energy will be present. Therefore, the approximate kinetic energy of the system after the collision will be 1.6 × 10⁵ joules.

These are 3 questions and 3 answers.

Question 1.

Answer: I = 0.01 A

Explanation:

a) Data:

i) Type of circuit: series

ii) R₁ = 100 Ω

ii) R₂ = 100 Ω

iii) V = 2 V

iv) I = ?

b) Formulas

i) Equivalent resistance, R = R₁ + R₂

ii) Ohm's law, V = IR

c) Solution

i) R = 100Ω + 100Ω = 200Ω

ii) I = V / R = 2 V / 200Ω = 0.01 A

Question 2)

Answer: False.

Explanation:

The nuclear model of the atom states that the atom is neutral, and consists of a nucleus, which holds the protons and the neutrons, and the electrons which are around the nucleous (in regions called orbintals).

The electrons are negatively charged and the protons are positively charged.

The magnitudes of the charges of both electrons and protons are equal.

Therefore, for the atom be neutral, the neutrons cannot have charge.

Question 3.

Answer: oppose (or resist).

Explanation:

1) The most basic electrical circuit consists of a 1) potential difference (voltage) source, which gives the "impulse" to the charge to flow, 2) the wire, which is the medium through which the charge flows), and 3) a resistor.

The resistor is the element with "resistance" to the flow of charge, this is it resists or oppose the flow of charge.

Some components, like motors, filaments, buzzers, which content or are resistors per se, transform the current (flow of charge) in other useful forms of energy (motion, light, heat, sound).

The resistor meets Ohm's law which states R = V / I, at constant temperature.