A new planet called "Corus" was discovered by a team of astronomers that


is 60 x 106 km away from Earth. A satellite was launched by a rocket from


Earth to reach Corus. At a specific distance from Corus, the rocket releases


the satellite to the orbit of the planet. The satellite makes one complete


revolution around Corus in 15 Earth days. If Corus has a similar mass to


Mars, propose a suitable mass of the satellite and estimate:


i.


ii.


Distance between the satellite and the Corus's surface


Satellite's gravitational acceleration towards the core of Corus


Gravitational force between the satellite and the Corus


Minimum speed of the satellite to orbit Corus


iv.

Answer:

MY friend has already described the purpose of projectile motion so I will quickly go through the uses of each equation ...

Explanation:

TIME OF FLIGHT = it is given as 2Usin tita/g...it is the total time taken to and fro...it is 2x of the time taken ....

TIME taken ..t= Usin tita / g.....is the time taken to reach the maximum height which is 1/2 the TOTALTIME OF FLIGHT GIVEN ABOVE ..

MAXIMUM HEIGHT: the maximum height is the height attained by the projectile when projected ...it is calculate using the formula = U^2 sin^2 tita / 2g

Range =Search Results

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An object launched into projectile motion will have an initial launch angle anywhere from 0 to 90 degrees. The range of an object, given the initial launch angle and initial velocity is found with: R=v2isin2θig R = v i 2 sin ⁡ 2 θ i g .

Answer:

  4. none of the above

Explanation:

A "15 °C calorie" (with a lower-case 'c') is defined as the amount of energy required to raise 1 gram of water from 14.5 °C to 15.5 °C at standard atmospheric pressure. That definition is one of at least 7 different definitions of the "gram calorie".

A Calorie (with an upper-case 'C') is 1000 calories. So the choice "1 Calorie" is attractive, but incorrect. It is 1000 times the amount of heat described.

none of the Joule or Calorie choices is correct

We can determine whether a change is physical or chemical by analyzing the what type of change is occurred. The change in color or formation of new product is a chemical change.

A chemical change is a type of change which include the breaking or making of chemical bonds and the formation of new products which has properties different from the initial substances.

Phase changes, change in size, shape, dissolving, conductivity etc. are  physical changes. They do not involve any change in chemical bonds or the formation of new product.

The change in color indicates the formation of a new product. All the chemical reactions like the corrosion of metals reaction of metals with acids or water etc . are all chemical changes.

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The speed of the fluid near the right-hand end of the tube is approximately 10.06 m/s.

Bernoulli's equation is a fundamental principle in fluid mechanics that relates the pressure, velocity, and height of a fluid in a flow. It states that for an incompressible fluid flowing in a steady state through a pipe of varying cross-sectional area, the total energy of the fluid (consisting of pressure energy, kinetic energy, and potential energy) remains constant along any streamline of the flow. Mathematically, the equation is:

P + (1/2)ρv² + ρgh = constant

To find the speed of the fluid near the right-hand end of the tube, we can use the Bernoulli's equation, which relates the pressure and velocity of a fluid in a flow:

P₁ + (1/2)ρv₁² = P₂ + (1/2)ρv₂²

where P1 and v1 are the pressure and velocity of the fluid at the left hand end of the tube (where the pipe is wider), and P2 and v2 are the pressure and velocity at the right-hand end (where the pipe is narrower).

We can redo this equation to solve for v₂:

v₂ = sqrt(2*(P₁-P₂)/ρ + v₁²)

where sqrt denotes the square root.

Using the given values:

A₂/A₁ = 0.46

dP = 27.6 Pa

ρ = 2.93 kg/m³

We can find the pressure at the left hand end using the fact that the pressure is the same at the same height, and the fluid is incompressible, so its density is constant:

P₁ = P₂ + dP = P₂ + 27.6 Pa

The area ratio gives us:

A₂ = 0.46*A₁

Now we need to find v₁. We can use the continuity equation, which states that the mass flow rate (ρAv) is constant in an incompressible fluid:

ρ₁A₁v₁ = ρ₂A₂v₂

where ρ1 is the density of the fluid at the left hand end, which is the same as ρ₂, and A₁ and A₂ are the pipe's cross-sectional areas at the left and right ends, respectively.

Substituting A₂ = 0.46 × A₁ and simplifying, we get:

v₁ = (0.46)² × v₂

Substituting this into the Bernoulli's equation, we get:

P₁ + (1/2)ρv₁² = P₂ + (1/2)ρv₂²

Substituting P₁ = P₂ + 27.6 Pa and v₁ = (0.46)² × v₂, and solving for v₂, we get:

v₂ = √((227.6)/(0.46^2ρ) + (0.46)⁴ × v₂²/ρ)

Simplifying this equation, we get:

v₂= √((227.6)/(0.46^2ρ × (1-0.46⁴)))

Substituting the given values, we get:

v₂ = √((227.6)/(0.46²²°⁹³ × (1-0.46⁴))) = 10.06m/s

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Answer:

225-Ib person weighs 1000 N

According to an observer on Earth, the trip took approximately 5.2 years.

According to special relativity, time dilation occurs as an object approaches the speed of light. This means that time appears to pass more slowly for an object moving relative to an observer than it does for the observer.

In this scenario, the spaceship travels to a star that is 4.5 light-years from Earth at one-half the speed of light. To determine the time it took for the trip according to an observer on Earth, we can use the time dilation equation:

t = t_0 / √(1 - v^2/c^2)

where t_0 is the proper time (the time experienced by an observer on the spaceship), v is the velocity of the spaceship, and c is the speed of light.

Plugging in the values, we get:

t = 4.5 years / √(1 - (0.5c)^2/c^2)

t = 4.5 years / √(1 - 0.25)

t = 4.5 years / √0.75

t = 4.5 years / 0.866

t ≈ 5.2 years

Therefore, according to an observer on Earth, the trip took approximately 5.2 years.

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Answer:

Explanation:

\(a = \frac{v_f-v_0}{t}\) which is the final velocity minus the initial velocity in the numerator, and the change in time in the denominator.  For us:

\(a=\frac{2.7-1.6}{1.2}\) so

a = .92 m/s/s (NOT negative because you're speeding up)

Answer:

The best statement which describe this is actually:

D. Temperature decreases with altitude until the stratosphere is reached, and then it increases from there.

Explanation:

From the graph shown, it could be seen that, temperature decrease with height. The higher the height, the lower the temperature. For example, from the graph, when the height was around 50 km, the temperature was within the range of -10⁰C to 0⁰C. On the other hand, when the height increases around 78 km, the temperature decreases to the range of  to -70 ⁰C to -80⁰C

To identify all the approximately 20,000 to 25,000 genes in human DNA, scientists use a combination of technique such as DNA sequencing, genome annotation, gene expression analysis, and comparative genomics.

The identification of genes in human DNA involves a multi-step process. It typically begins with DNA sequencing, which generates the raw sequence data. This data is then analyzed and compared to known gene sequences using computational methods. Genome annotation tools are used to identify coding regions and regulatory elements within the DNA sequence. Gene expression analysis technique, such as RNA sequencing, help determine which genes are actively transcribed in specific tissues or under certain conditions. Comparative genomics, comparing DNA sequences across different species, aids in identifying conserved genes and their functions. These techniques collectively contribute to the identification of the thousands of genes in the human DNA.

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99.16 Newtons is the new force of attraction between the particles.

The forces that hold atoms together to create molecules and solids are referred to as chemical bonds. The attraction between the electrons of one atom and the nuclei of another atom as a result of this electric force is what is known as a chemical bond.

\(F = (kq1q2)/r^2\)

\(9,916 = (kq1q2)/r^2\)

\(F = (k*(q1/5)*(q2/5))/(2r)^2\)

\(F = (1/100)((kq1*q2)/(r^2))\)

So, the new force of attraction is:

\(F = (1/100)*9,916 = 99.16\)Newtons (rounded to 4 decimal places)

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Answer:

what is the question ? That is only a statement

The help you calculate the current drawn from a 24 V battery connected to a 460 Ω load. To calculate the current, we can use Ohm's Law, which is I = V / R the current drawn when a 460 Ω load is learn more about here. connected to a 24 V battery is approximately 52.2 mA rounded to three significant figures.

where - I is the current (in Amperes - V is the voltage (in Volts) - R is the resistance in Ohms In this case, the voltage (V) is 24 V, and the resistance (R) is 460 Ω. Now we can plug these values into the formula: I = 24 V / 460 Ω I ≈ 0.05217 A
Since the question asks for the answer in milliamperes (mA), we need to convert the current from Amperes to milliamperes. To do this, we simply multiply by 1000 I ≈ 0.05217 A × 1000 = 52.17 mA So, the current drawn when a 460 Ω load is learn more about here. connected to a 24 V battery is approximately 52.2 mA rounded to three significant figures.

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A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. So, The momentum of the rocket is -1500 kg m/s.

According to the law of conservation of momentum, in a closed system, the total momentum before and after a process remains constant.

A fuel-filled rocket that is initially at rest expels hot gas as it burns its fuel. The gas has a momentum of 1500 kg m/s backward.

We are required to determine the momentum of the rocket.

Consider the fuel-filled rocket as a system.

We have: Momentum before the burn = 0 kg m/s (since the rocket was at rest initially)Momentum after the burn = momentum of the expelled gas

We can therefore say that the initial momentum of the system was zero (0), and after the burn, the total momentum of the system remains the same as the momentum of the expelled gas.

Therefore: Momentum of rocket = - momentum of expelled gas

The negative sign signifies that the rocket's momentum is in the opposite direction of the expelled gas.

Hence, the momentum of the rocket is -1500 kg m/s.

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Answer:

Below

Explanation:

FIND TOTAL NORTH DISPLACEMENT

   40 sin 35     + 50       + 10 sin 20   = 76.363 mi

FIND TOTAL E-W DISPLACEMENT  

  40 cos 35        -   10 cos 20 = 23.369 mi

Total resultant displacement ( using pythag theorem)

   sqrt ( 76.363^2 + 23.369^2 ) = 79.86  mi

    angle = arctan ( 79.23 / 23.37) = 73 °  North of East

The relative velocity between the two cars is 18 km/hr. Relative velocity refers to the velocity of an object or observer in relation to another object or reference frame.

To find the relative velocity between two objects, we need to consider their velocities relative to a common reference frame.

In this case, we have two cars traveling in opposite directions. Let's assume that one car is traveling at 90 km/hr and the other car is traveling at 72 km/hr.

Since the cars are traveling in opposite directions, we can subtract their velocities to find the relative velocity:

Relative velocity = Velocity of Car A - Velocity of Car B

Relative velocity = 90 km/hr - 72 km/hr

Relative velocity = 18 km/hr

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To change the period of simple harmonic oscillations from 1.4 s to 2.05 s, an additional mass of 0.90 kg must be added to the suspended object.

The period of simple harmonic oscillations is directly influenced by the mass attached to the spring. In this scenario, to change the period from 1.4 s to 2.05 s, an additional mass of 0.90 kg must be added to the object suspended from the spring.

This alteration in mass adjusts the system's dynamics, resulting in a change in the time taken for one complete oscillation. By increasing the mass, the period lengthens, reflecting a slower oscillation.

To gain a deeper understanding of the principles governing simple harmonic motion and its relationship to mass and period, further exploration of physics concepts and principles related to oscillatory motion is recommended.

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The correct answer is 12x+7 as when you multiply these two numbers they cancel each other out

Answer:

Explanation:

NEWTON'S FIRST LAW OF MOTION:

a body continues its state of rest or of uniform motion in a straight line provided no net force acts on it. Fnet=0

NEWTON'S SECOND LAW OF MOTION:

when a net force acts on a body it produces acceleration in the body which is directly proportional to the magnitude of the net force and inversely to the mass of the body.F=ma

NEWTON'S THIRD LAW OF MOTION:

to every action there is always an equal but opposite reaction.

Answer:

Newton’s laws of motion can be summarized as follows:

An object will remain at rest, or in a uniform, straight-line motion if moving, unless an external force acts upon it.

Force equals change in momentum per change in time. For an object with constant mass, force equals mass times acceleration.

For every action, there is an equal and opposite reaction.

In Depth:

A rock resting on level ground won’t suddenly start moving unless you push it. This is Newton’s first law, which introduces the principle of inertia. Inertia tells us that objects at rest stay at rest, and objects in motion stay in motion at a constant velocity (speed in one direction). When a force acts on the object, it changes its behavior.

For example, when you push the rock along the ground, you apply an external force that causes the rock to break out of inertia and begin moving. When you throw the rock through the air, the force of gravity acts upon it and slows it down, pulling it back to earth. If you threw that rock in outer space with no external force of gravity acting upon it, the flying rock would travel indefinitely forward at constant velocity because of inertia.

Force (F) equals mass (m) times acceleration (a). An object’s mass is the amount of matter it contains. An object’s acceleration is its change in velocity—whether the object is speeding up or slowing down as it moves.

If this seems complicated, just think about how everyday objects react to force. It’s easier to push a soccer ball a certain distance than it is to push a car that same distance. That’s because the soccer ball has much less mass than the car, so it requires less force to create the same amount of acceleration.

A rocket has to fire its engines forcefully to overcome gravity and propel itself into outer space. The force of gas propelling downwards creates a reaction that pushes the rocket in the opposite direction with equal force. This is Newton’s third law: every action has an equal and opposite reaction.

As a result of Newton’s third law, all forces come in pairs. When you push against solid ground with your foot, the ground doesn’t fly off —it pushes back against you. This law helps us understand how objects with different forces interact.

Answer:

Geothermal energy can be trapped using geothermal plants that utilizes steam escaping from the earth surface to make electricity.

The limitations include :

Explanation:

Geothermal energy originates in form of heat/steam escaping from the inner parts of the earth surface. The steam trapped is converted to electricity through turbines. The hot water pumped by heat pumps can be used to heat homes or for heating purposes in industries.

The limitations of geothermal energy are high initial capital costs for installing the systems, depletion of geothermal sites after sometime, environmental concerns due to greenhouse gases emissions and land requirements for geothermal projects.

Answer:

halved

Explanation:

the formula

Answer:

Halved

Explanation:

Fill in the blank. When using a wrench if you double the length of the wrench (effort arm), you have Halved the required force to do the same amount of work.

Answer:

See Below

Explanation:

1: Thermal  Energy

2: Chemical Energy

3: Nuclear Energy

4: Electrical Energy

5: Radiant Energy

6: Light Energy

7: Motion Energy

8: Sound Energy

There are 8 types are energy that are above.

Hope this helps.

The meter per seconds per second (m/s²) is the SI unit of measurement used to describe an acceleration unit.

A rate at which position and velocity of velocity change over time is referred to as acceleration. When anything starts moving faster or slower, it's referred to as accelerating. The rate at which an object's velocity with regard to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of a net force on the object determines the direction of its acceleration.

Acceleration refers to the rate at which velocity changes over a predetermined amount of time. By divide a change in velocity even by change in time, acceleration is calculated. The acceleration of the object is equal to the net force exerted on it divided only by mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item as well as the net force acting on are known, the acceleration of that object can be determined using this equation for acceleration.

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limiteds edition oon substartion basiss i dont kkown

Explanation:

Answer:

This creates a convection current and thermal energy is transformed into kinetic mechanical energy in the form of moving air or wind. A wind turbine transforms the mechanical energy of wind into electrical energy.

In the first case, the momentum is 4,860,000Kgm/s while in the second case, the momentum is 4,550,000Kgm/s.

The term momentum of a body refers to the product of mass and velocity. It is a vector quantity.

In the first case;

momentum = 81,000Kg * 60m/s = 4,860,000Kgm/s

In the second case, we must find the resultant velocity V

V = √(25)^2 + (43)^2

V = 50 m/s

Hence;

Momentum = 91000Kg * 50 m/s

= 4,550,000Kgm/s

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Answer:

Asking a question

Research existing sources

Define an hypothesis

Design and conduct a study

Draw conclusion

Report result.

Explanation:

Scientific study simply means establishing the existence or proving the veracity of an hypothesis, hence making it a fact. A scientific study follows an orders set of procedure;

Asking a question is the first step as this is what prompts the research, question usually stems after making an observation.

The a observation made and question asked will lead to making research on the observed phenomenon, this is to check if such question has been asked in the past and maybe any scientific study as been carried out in the past.

To make research further, an hypothesis is defined in a bid to find more evidence to support one's observation through experiment.

Study design and implementation is next as the type of study to be embarked upon will determine which type of design preparation and study pattern to deploy.

Conclusion a d report of observations made are the last part of a scientific study which is key as all outcomes of the study should be adequately detailed in an understandable format while also ensuring reproducibility.

The evidence that there is dark matter beyond the disk of a spiral galaxy is the stellar mass which is distributed does not account for the rotation curve of galaxies.

Dark matter is a hypothetical form of matter thought to account for approximately 85% of the matter in the universe.

The most clear evidence of the existence of dark matter in spiral galaxies comes from their rotational velocities.

It has been shown from latest observations that the universe is not only expanding but that the expansion is accelerating and therefore, this could be the main evidence of the dark matter that the force it is exerting leads to universe expansion.

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If the distance from the source is doubled or increased by a factor of 2, then the intensity is quartered decreased by a factor of 4.

A sound wave's intensity is inversely related to density and speed and proportionate to the change in pressure squared.

The region that the sound waves cover grows as one gets farther from the source of the sound. The intensity and loudness of the sound are reduced because the same quantity of energy is dispersed over a larger region.

Inversely proportional to the square of the source's distance, the intensity varies.

Therefore, if the distance from the source is doubled or multiplied by a factor of 2, the intensity is reduced by a factor of 4 and then by a fourth.

When a time difference is twice, intensity is reduced by a factor of 4 each time.

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Answer:

k

Explanation:

Summer means lots of out-of-doors time. Whether at beaches, barbeques, hanging out in the park or at the pool, most people catch more sun rays

this season than other times of the year. In the process, some will get a suntan while others, unfortunately, will experience the painful redness, peeling and blistering that can occur with a bad sunburn.