a 60 kg runner in a sprint moves at 11 m/s. a 60 kg cheetah in a sprint moves at 33 m/s.

Answers

Answer 1

Equation states that the cheetah has nine times the kinetic energy of a human run.

What are the nine forms of energy?

There are many distinct types of energy, including gravitational, thermal, radiant, chemical, nuclear, electrical, motion, sound, & elastic energy.

Briefing:

Considering that,

the runner's weight, m₁ = 60 kg

runner's speed, v₁ = 11 m/s

Mass of cheetah, m₂ = 60 kg

Speed of cheetah, v₂ = 33 m/s

energy expended by the runner

Er=1/2m₁v₁²

  =1/2*60*11²

  =3630

Cheetah kinetic energy,

 Ec=1/2m²v²2

    =1/2*60*33²

    =32670

It is evident from equations (1) and (2) that

Ec=9*Er

The cheetah therefore has nine times the kinetic energy of a human runner. Consequently, this is the necessary remedy.

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The complete question is-

A 60 kg runner in a sprint moves at 11 m/s. A 60 kg cheetah in a sprint moves at 33 m/s. By what factor does the kinetic energy of the cheetah exceed that of the human runner?


Related Questions

Make a timeline that lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.

Your timeline has to include the physicists, their pictures and main laws and discoveries .

(HELP ME I'LL BRAIN E-LIST I SWEAR)

Answers

This timeline lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.

Pre-scientific16th century17th century18th century19th century20th century21st century

What is definition of timeline?

A timeline is a display of a list of chronicle in chronological order. It is usually a graphic design showing a long bar tagged with dates paralleling it, and usually present day chronicle.

Timelines can use any appropriate scale representing time, suiting the subject and statements; many use a linear dimension, in which a unit of distance is equal to a set quantity of time. This timescale is incumbent on the chronicle in the timeline.

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1-if iron nails are inserted into a solenoid carrying a current, does the magnetic strength of the solenoid increase or decrease?
2- if a piece of soft iron bar is inserted into a solenoid carrying a current, does the magnetic strength of the solenoid increase or decrease?

Answers

The magnetic field inside the solenoid is increased.

What is magnetic field?

Magnetic Field is the region around a magnetic material of  or a moving electric charge to the within which the force of a  magnetism acts. A pictorial to  representation of to be the relative magnetic field of  which describes how to a  magnetic force is the  distributed within and around a magnetic material.

The magnetic field around the  the current carrying of to a  solenoid is similar to their magnetic field produced by the bar magnet.

When a soft iron bar is the  introduced inside a current of the  carrying solenoid, the magnetic field inside thd left solenoid will increase.

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1. A 4-kg skateboard moving at 8 m/s collides with another identical skateboard initially

at rest. If the two skateboards stick together, what is their speed after the collision?

Answers

A collision occurs between two identical skateboards that are initially at rest and a 4-kg skateboard travelling at 8 m/s. After a collision, if the two hoverboards keep together, the s = 32 m/s.

Describe collision.

In physics, collision, often known as impact, is the abrupt, violent coming together in close proximity of two entities, such as, for instance, two pool cues, a golf course and a projectile, a hammer and just a nail head, or two fish road cars if being paired together, or a dropping object and just a floor.

What three sorts of collisions are there?

There are three different kinds of collisions: collisions with perfect elastic properties. inflexible collision collision with perfect inelasticity. Every collision involves not one but three collisions: the vehicle contact, the physical collision, or the internal colliding (inside your body).

Briefing:

p = m*v

m = 4 kg

v = 8 m/s

speed = 4kg * 8 m/s

speed = 32 m/s

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What is NOT TRUE about all forces?


A. They can be unbalanced


B. They ALWAYS cancel each-other
out



C. They can cause objects to move




D. They involve more than one object

Answers

Not all forces can be out of balance, though.

Option a is correct.

What are the required 2 components for a vector quantity?

The size and direction of a vector quantity are its two distinguishing features. The magnitude and direction of two vector values of the same kind must be compared when comparing them.

What three non-contact forces are examples?

The charging of the hair and the paper's attraction to it. Another illustration of a non-contact force is the proximity of two magnets. Gravity is what causes a ball to fall freely toward the earth. Non-contact forces include things like leaves falling from a tree.

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why does overexposure to uv light often result in sunburn when overexposure to visible light does not? this is why you can get burnt even on a cloudy day.

Answers

The overexposure to UV light often result in sunburn but the overexposure to visible light  doesn't result in the same because UV light can pass through all the layers of the Earth and have drastic effects on the human body.

A sunburn is caused by ultraviolet rays. For ultraviolet rays, clouds are semi transparent, so we can get sunburn even on a cloudy day. However, glass is opaque to UV rays. The rays cannot reach them and so we are protected from sunburn.

UV rays are carcinogenic in nature, it is a form of non-ionizing radiation that is emitted by the sun and artificial sources, such as tanning beds. While it has some benefits for people, including the creation of Vitamin D, it also can cause health risks.

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if a distant planet has rings, based on examples in our solar system, what is the likelihood that it will also contain moons?

Answers

Distant planet having rings have a good likelihood of moons inclined to equatorial plane.

An enormous ring system known as J1407b, which is orbiting a distant planet, has been found by an international team of astronomers. It is much larger and heavier than Saturn's ring system.J1407, a star about 434 light-years away from Earth, is the star that the planet orbits. In 2012, astronomers made the first discovery of the ring system, the first of its kind discovered outside of our solar system. The ring system has more than 30 rings, each of which has a diameter of tens of millions of kilometers, according to a recent analysis of the data that was published in the Astrophysical Journal. In addition, the analysis uncovered gaps in the rings, suggesting that satellites or exomoons may have formed.

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Pt 1
A neutron in a reactor makes an elastic head on collision with the nucleus of an atom initially at rest assume the mass of the atomic nucleus is about 12.5 the mass of the neutron. What fraction of the neutrons kinetic energy is transferred to the atomic nucleus
Pt2
If the initial kinetic energy of the neutron is 4.31x10^ -13 J find it's final kinetic energy answer in units of J

Answers

The fraction of the neutrons kinetic energy transferred to the atomic nucleus is 0.296.The final kinetic energy of the neutron is 3.034 × 10⁻¹³ JWhat is conservation of momentum?

Conservation of momentum states that the momentum remains constant within the problem region. Momentum is neither created nor destroyed, it is changed only by the action of force in the sense of Newton's laws of motion.

For head on elastic collision both momentum and energy are conserved.

Initial Momentum = Final Momentum

v = mv₁ + 12.5mv₂

m = mass of neutron

v = final velocity of neutron after collision

v₁ = initial velocity of neutron

v₂ = velocity of atom

v = v₁ + 12.5v₂

Energy before = energy after

½ m v² = ½ m v₁² + ½ (12.5m) v₂²

v² = v₁² + 12.5 v₂²

We want to find the fraction of the neutron's kinetic energy is transferred to the atomic nucleus.

KE/KE = (½ (12.5m) v₂²) / (½ m v²)

KE/KE = 12.5 v₂² / v²

KE/KE = 12.5 (v₂ / v)²

We need to find the ratio v₂ / v.

Solve for v₁ in the momentum equation and substitute into the energy equation.

v₁ = v − 12.5 v₂

v² = (v − 12.5 v₂)² + 12.5 v₂²

v² = v² − 25 v v₂ + 156.25 v₂² + 12.5 v₂²

0 = -25 v v₂ + 168.75 v₂²

0 = -25 v + 168.75 v₂

25 v = 168.75 v₂

v₂ / v = 25 / 168.75

v₂ / v = 0.148

Hence, the fraction of the kinetic energy transferred is:

KE/KE = 14.1 (0.148)²

KE/KE = 0.296

Part 2/2

If a fraction of 0.296 of the initial kinetic energy is transferred to the atomic nucleus, the remaining 0.704 fraction must be in the neutron.

Therefore, the final kinetic energy is:

KE = 0.704 (4.31 ×10⁻¹³ J)

KE = 3.034 × 10⁻¹³ J

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Please help me with this question, many thanks

Answers

When F1 and F2 are given , then acceleration vector, a(x, y) is calculated as = (-1,5) m/s².

What do you understand by force?

In science, 'force' has a precise meaning and we can say that a force is a push or a pull. A force is exerted on an object by another object.

Newton's 2nd Law is given by:

F = m*a

Where F is a vector and mass is scalar therefore, acceleration is also a vector. As Vector/Scalar = Vector.

Now, F1 + F2 = F(net)

So, (3-5, 4+6) = (x1+x2, y1+y2)

F(net) = (-2, 10)

F(net) = m*a

Then, acceleration = F(net) /m

= (-2/2, 10/2)  = (-1, 5)

Acceleration vector, a(x, y) = (-1,5) m/s².

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A crate is pulled by a force (parallel to the incline) up a rough incline. The crate has an
initial speed shown in the figure below. The crate is pulled a distance of 9.01 m on the
incline by a 150 N force. The acceleration of gravity is 9.8 m/s^2 a) What is the change in kinetic energy of the crate? Answer in units of J..

Answers

The change in kinetic energy of the box be 33.47 Joule.

What is friction?

The resistance provided by surfaces in touch as they move past one another is known as friction.

To walk without slipping, traction is provided by friction. In most situations, friction is advantageous. They do, however, give a strong amount of opposition to the move. Additionally, around 20% of an automobile's engine power is used to overcome frictional forces in the moving parts.

Net force acting on the box = 150 N - (mgcos32° + μmgsin32°) N = 35.90 N.

Work done by this force = fs = 35.90 × 9.01 = 323.47 Joule.

Hence, the change in kinetic energy = 33.47 Joule.

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how big aforce wiil achare of+2c expreiance if placed bin anelectric field of strenght18n/c?

Answers

The magnitude of force experienced by the charge is 36 N.

What is electric field?

The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically.

Electric charge or magnetic fields with variable amplitudes can produce an electric field. The attraction forces that keep together atomic nuclei and electrons at the atomic scale are brought on by the electric field.

Given that:

Amount of charge: q = + 2 C

Magnitude of electric field  strength: E = 18 N/C.

So, Magnitude of force applied on the charge: F = qE = +2 ×18 N = 36 N.

So, The magnitude of force experienced by the charge is 36 N.

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An echo is an example of the type of wave interaction called.what?

Answers

Answer:

wave reflection

Explanation:

An echo is an example of wave reflection. Reflection occurs when waves bounce back from a barrier they cannot pass through. Reflection can happen with any type of waves, not just sound waves.

in CT Scan Machine the source of X-Ray is rotated around the person why​

Answers

Answer:

As the patient passes through the CT imaging system, a source of x rays rotates around the inside of the circular opening. A single rotation takes about 1 second. The x-ray source produces a narrow, fan-shaped beam of x rays used to, irradiate a section of the patient's body.

The patient table is continually pushed through the gantry's hole as the x-ray tube revolves around the patient. This enables the acquisition of a continuous set of attenuation data in a helical or spiral manner; as a result, this generation of scanner is known as a helical/spiral scanner.

What is CT Scan Machine?

A narrow x-ray beam is quickly spun around a patient's body during a procedure known as "computed tomography," or CT. This produces signals that are then analyzed by the machine's computer to create cross-sectional images, or "slices," of the patient's body.

These sections, which are known as tomographic pictures, can provide a clinician with more specific information than traditional x-rays. A three-dimensional (3D) image of the patient can be created once a number of successive slices have been collected by the machine's computer. This makes it easier to identify the patient's basic anatomy as well as any potential tumors or anomalies.

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Adding a heat lamp inside the shelter a


answers:
radiation
convection
conduction

Answers

Answer:

Radiation

Explanation:

Hope it helps!

Select the correct vectors. a ship moves through the water at 30 miles/hour at an angle of 30° south of east. the water is moving 5 miles/hour at an angle of 20° east of north. identify the ship's vector, the water current's vector, and the vector representing the ship's actual motion.

Answers

A ship travels across the water at a speed of 30 mph while angled 30 degrees south of east. The water is travelling 20 degrees east of north at a speed of 5 miles per hour. Vector for the ship is 25.98i - 15j mi/h.

What is the direction of the water current?

The water is also travelling at a speed of 5 miles per hour at an angle of 20° south of east, which suggests that it is moving in the first quadrant at an angle of 90° - 20° = 70° east of north. So, the water's velocity has an x-component of v3 = 5cos70° = 1.71 mi/h and a y-component of v4 = 5sin70° = 4.7 mi/h.

What does the ship's actual motion's vector look like?

V = velocity vector of ship as it goes through water + velocity vector of water current is the velocity vector that accurately depicts the ship's real motion.

Briefing:

V = v + v'

= 25.98i - 15j mi/h + 1.71i + 4.7j mi/h

= (25.98i + 1.71i + 4.7j - 15j )mi/h

= 27.68i -10.3j mi/h

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What is the pressure exerted on the ground by a 5-kg box that has a width of 5 m and a length of 10 m?

Answers

Pressure is the force applied to the surface, so the formula for the Pressure is P=F/S, where P is Pressure, F is Force, and S is an Area of the surface

S can be easily find by multiplying length and width:
S=5*10=50m^2

Since there is no information about the object’s motion, the only force acting in it is the Gravitational force, which is F=mg, where m is the mass of the object and g is a gravitational constant (10m*s^-2)
F=5*10=50N (Newtons)

And finally,
P=F/S=50/50=1P (Pascal)

when the temperature of a 3.0-l sample of a gas is dropped from 200°c to 100°c, what will be the final volume of the gas sample?

Answers

The gas has a final volume of 2.4L.

What is the text of Lussac's law?

According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when maintained at a low volume. The molecule of a gas receive more energy when heated, causing them to move more quickly. This results in increased pressure and more blows on the container's walls.

Briefing:

Given, Initial Volume of the sample = 3L

Initial temperature of the sample, T₁ = 200° C

                                                        = 200 + 273

                                                        = 473 K

Final temperature of the sample, T₂ = 100° C

                                                           = 100 + 273

                                                            = 373 K

By Gay-Lussac's Law is a variant of the general gas equation,

From the above relation,

[tex]\frac{V_{1} }{T_{1} } = \frac{V_{2} }{T_{2} }[/tex]

[tex]V_{2} = \frac{V_{1}*T_{2} }{T_{1} }[/tex]

Substituting values,

[tex]V_{2}[/tex]= (3x 373) / 473

   = 1119/473

   = 2.4L

Hence ,it is found that the final  volume of the gas is 2.4L

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A student determines the centre of mass of a piece of card. Fig. 3.1 shows the equipment the student uses.
Describe how the student determines the centre of mass of the card using the equipment in Fig. 3.1.

Answers

Based on the fact that the center of mass and the center of gravity in the parallel gravity field close to the earth's surface are the same. The experimental measurement of a body's center of mass makes use of gravity forces on the body.

What determine the center of mass of a piece of card?

The center of mass is a point determined with respect to an object or group of objects. It shows the system's average location, weighted by the mass of each component.

The center of mass will always rest immediately underneath a shape if it is suspended from a single point.

Therefore,  the center of mass is where two lines that are drawn down downward from two different places on a shape (one at a time) intersect.

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if a car engine has a thermal efficiency of 50% and it does 500 j of work in one cycle, how much energy input does it require each cycle?

Answers

A automobile engine that performs 500 j of effort in one cycle and has a thermal performance of 50% needs 1000 j of energy for input each cycle.

Energy in Example: What is it?

Energy can take on a variety of shapes. Energy can take many different forms, such as light, heat, mechanical, electrical, acoustic, chemical, nuclear, or atomic energy.

Can you break energy?

Energy can only be converted or moved through one form to another; it cannot be created or destroyed. For instance, kinetic energy is produced from chemical energy.

Briefing:

Efficiency = (E out / E in) × 100%

E in = (E out / 50) × 100

E in = (500 / 50) × 100

E in = 1000j

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A kid rides a scooter down the sidewalk with an constant speed of 3.0 m/s for 7.0 seconds, then uniformly increases speed to 9.0 m/s in 5.0 seconds. What is the kid's total displacement? (How far along the sidewalk did the kid travel?)

Answers

The kid's total displacement is 66m.

What is distance?

The formula for calculating distance, d = st, or "distance equals speed times time," can be used. Because they both refer to the amount of movement per unit of time, such as miles per hour or kilometers per hour, speed and rate are comparable. The equation r = s = d/t holds if speed s = rate r.

In first case

Distance = speed × time

Distance = 3×7

Distance = 21m

In second case

Distance = speed × time

Distance = 9×5

Distance = 45m

Total displacement = 21+45

Total displacement = 66m.

So, the kid's total displacement is 66m.

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a ball is launched with an initial velocity of 10 m/s at an angle of 45 degrees follows a parabolic path and hits a balloon at the top (peak) of its trajectory (path). neglecting air resistance, how fast is it going when it hits the balloon? (both horizontally and vertically)

Answers

The speed of the ball that is launched into a parabolic path after it hits the balloon is 7.07 m/s.

Given that,

Initial speed of the ball = 10 m/s

Angle at which the ball is launched = 45°

The path of the ball which hits the balloon at the top of its flight follows a  parabolic trajectory

The horizontal component of the velocity is vₓ = v* cos(θ)

The vertical component of the velocity is vy =  v* sin(θ)

vₓ = 10 × cos(45°) = 7.07 m/s

vy =  v* sin(45°) = 7.07 m/s

Thus, the horizontal and vertical speed with which the ball hits the balloon is vₓ = vy = 7.07 m/s.

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4) A light object is dropped from rest. It falls a large distance vertically through air.
How can the motion of the object be described?

Answers

An object's position, velocity, acceleration, and direction can all be used to define motion. If an object's position with relation to a fixed point changes, then the object is moving. Even objects that seem to be at rest are in motion.

What impact does gravity have on the motion of falling objects?

An object will descend toward the ground with increasing speed as it does so due to gravity. In actuality, an object's velocity rises by 9.8 m/s2, thus by the time it begins to fall, it has a velocity of 9.8 m/s.

How does air resistance affect the acceleration of falling objects?

Because air resistance slows the speed of the falling object, acceleration during a fall is less with air resistance than it is with gravity.

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oe balances a stationary coin on the tip of his finger 2 m from the top of the floor. how much work is joe doing?

Answers

The work done by Joe is 0J in balancing a stationary coin 2 m from the top of the floor.

The work is done when an object is raised to a height against gravity. Work done depends on force and displacement caused by that force.

W = F. S

Where,

W = work done

F = Force and,

S = displacement caused in an object in the direction of the force.

Since the object has not been raised against gravity, there is no force against which work has been done.

F = 0 N, S = 2 m

W = 0× 2 J

= 0 J

The work done is 0J

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If 42 J of chemical energy in a battery places 7.0 C of negative charge at the negative terminal,
leaving a deficit at the positive terminal, what is the potential difference between the negative and
positive terminals of the battery?

Answers

The battery's negative and positive terminals have a 6J/C potential difference. This depicts a separation between a positive charge and a negative charge.

Calculation:

W = qV

W/q = V

42/7 = V

V = 6J/C

How much potential energy does a 12 V battery with a 2 C charge have?

For every 1 Coulomb of charge that passes between a 12 volt battery's negative and positive terminals, 12 Joules of electric potential energy are produced. Charge to potential energy change changes in a 12:1 ratio. The difference in potential energy for two Coulombs of charge would therefore be 24 Joules.

What is the formula for terminal potential difference?

The cell is charged by current I that comes from another source. In this situation, the terminal potential difference is Ir times bigger than the emf, hence V=E+Ir.

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as the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become —

Answers

As the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become wider.

What transpires as soil erodes?

Reduced soil fertility due to erosion can have a detrimental impact on agricultural output. Additionally, it pushes soil-saturated water downstream, which may result in thick layers of sediment that obstruct rivers and streams from flowing freely and finally cause flooding. The likelihood of soil erosion reoccurring increases after it occurs.

How can water destroy soil?

When rain or snowmelt shifts the soil on the ground, water erosion occurs. More soil is moved or transported away when there is more water running across the ground. Water erosion is particularly dangerous on bare land, including farm areas that have been cleared of crops after harvest.

What consequences does water erosion have?

For instance, water erosion leads to soil structure loss, surface crusting, waterlogging, a decrease in organic content, and the dissolution of stable aggregates. Soil resources quickly degrade in the face of such a barrage. Farming gets increasingly expensive and complex.

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A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0. 30. Suddenly, the plane accelerates forward, its altitude remaining constant. What is the maximum acceleration that the plane can have without the cup sliding backward on the table?.

Answers

Therefore, the maximum acceleration the plane can experience without the cup sliding off the table backwards is 0.30g.

What is the static friction?

A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across. When there is no relative motion between the object and the surface, static friction is a form of friction force that acts on the body. So, even when the body is moving, it can still act, but there shouldn't be any relative motion.

What is an example of a static friction?

Consider moving a large, hefty box across the floor. You exert increasing pressure until the box begins to slide. The box is maintained in place by the static friction force. The static friction force pushes back slightly when you push it.

Briefing:

The cup is not moving, therefore The cup has no net force. So, in the x direction, you have the following.

0 = ma - fs

Where an is the plane's acceleration less the static fiction force, and m is the mass of the cup. The static fiction force is zero because there isn't an inclination.

Fs = mus × m × g

Because mus is the coefficient of static friction (provided as 0.30), m is the mass of the cup, and g is gravity at the plane's altitude, rearranging the two equations and finding a should result in the desired result.

a = 0.30g

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During photosynthesis, _____________ gas enters the leaves and _______ gas is given off. Responses hydrogen, carbon dioxide hydrogen, carbon dioxide, carbon dioxide, oxygen carbon dioxide, oxygen, oxygen, carbon dioxide oxygen, carbon dioxide, nitrogen, argon

Answers

Carbon dioxide enters this same leaves during photosynthesis, while oxygen gas is released.

Explain what photosynthesis is.

The method whereby a plants use carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. The four stages of photosynthesis include light absorption, redox reactions, ATP production, and carbon fixation.

What makes photosynthesis so crucial?

While photosynthesis is the method used by plants to convert back into carbon dioxide with the aid of sunlight, it is significant. Both oxygenic and anoxygenic sunlight are possible. Plants that produce oxygen (O2) & glucose during procedure of photosynthesis, which involves breaking apart the reaction mixture of co2 and water and recombining them (C6H12O6).

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If the orbit of a rocket is a circle around the earth with a radius
= 8 x 105
m, and the mass of the earth is 5.97 x 1024 kg while
that of the rocket is 0.5 x 10% kg, then what is the speed of the
rocket under uniform circular motion (in m/S, G = 6.67 x 107 N
(m/kg) ?)

Answers

Speed of the rocket under uniform circular motion is 4.97 * 10^13 m/s.

We know that the orbital speed of a satellite is given by:

[tex]v_{0} = \sqrt{GM/r}[/tex]

Where, G = gravitational constant = 6.67 * 10^7 N

            M = mass of earth = 5.97 * 10^24 Kg

            r = distance of satellite from earth = 8 * 10^5 m

Putting these given  values in above equation, we get

[tex]v_{0} = 4.97 * 10^{13} m/s[/tex]

The orbital speed does not depend upon the mass of object.

So the speed of the rocket under uniform circular motion around earth is

4.97 * 10^13 m/s.

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An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer
The observed frequency will be greater than the source’s frequency
The observed frequency will be less than the source’s frequency
The observed frequency will be the same as the source’s frequency
The source never passes the observer

Answers

The observed frequency will be greater than the source’s frequency (option - B) is correct answer.

What happens if both the observer and the sound source move?

If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.

Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.

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nuclear decay occurs according to first-order kinetics. scandium-43 decays with a rate constant of 0.178 days–1. after 15.0 days, a sample has a mass of 1.73 g. what was the original mass of the sample?

Answers

According to the given statement 25 grams was the original mass of the sample.

What is mass in physics with example?

The mass of matter that makes up every object or body is the greatest way to understand mass. Everything that we can see has mass. Examples of objects with mass include a table, a chair, an bed, a baseball, or glass, and even air. The mass of a thing determines whether it is light or heavy.

Briefing:

The first order kinetics rate rule has the following expression:

Where k = rate constant = 0.178 days, t = 2.303/k * log(a/(a - x))

15 days have passed since the sample began, so t 1

a = the reactant's original or initial amount; a - x = the amount left over after the decay process; 1.73g

After plugging in all the values, we get 15=(2.303/0.178) A/1.73 = 10 * log (a/1.73) log (a/1.73) = 15 * 0.178/2.303 ( 15*0.178/2.303)

a = 1.73 * 10^( 2670/2303)\sa

= 1.73 * 10^(1.15935736)\sa

= 1.73 * 14.433024871\sa

= 24.9691330268

Consequently, a weighs about 25 grams.

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Substances, or matter, can exist in three different states at room temperature: solid, liquid, and gas. Compare a solid object, a liquid such as water, and air. Open the Notebook tool (), and answer these questions about solids, liquids, and gases:

How do they differ in feel?
How do they differ in how easily they change their shape?
How do they differ in how easily they change their volume?

Answers

Oxygen and carbon dioxide are examples of substances that exist as gases at room temperature, while water and mercury metal are examples of substances that exist as liquids. At room temperature, the majority of metals are solids. These three states are all possible for substances.

i) Solids are typically more dense than liquids, which are more dense than gases. There is not much room between the particles in the solid, which are touching. Although there are occasionally gaps between the particles in a liquid, they typically still touch. Large gaps exist between the gas particle.

ii) Because of the variations in their molecules, matter can exist in various states. Solids, for example, are predetermined in terms of size and shape. Contrarily, liquids can be molded to fit the shape of the container they are in because they are flexible. Last but not least, gases diffuse to completely fill the space.

iii) Solids are discrete in their shape and volume. Although they take on the shape of the container, liquids have a specific volume. The shape and volume of gases are ambiguous.

In what ways do they differ in solids, liquids, and gases?

Depending on the shape of their container, a liquid and a gas will adapt their shape. In order to fit inside the container, a gas will change volume. In general, gases are less dense than liquids, which are less dense than solids. There is barely any distance between the particles in the solid from one another.

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