20. The students want to draw a graph showing the velocity of the object with respect to time. What will the graph’s shape and slope be?

Answer:

5.14 m/s^2

Explanation:

v * t = distance     AVERAGE velocity = (24-0) / 2 = 12 m/s

         distance / v  =  time

   56 m / 12 m/s = 4.67 s

vf = at

24 = a ( 4.67)      a = 5.14 m/s^2

The amount of energy lost by the car when it descended from a height of 3000 m to 2000 m is 980×10⁴ J

We'll begin by obtaining the energy at the top of the mountain (height = 3000 m). This is shown below:

E = mgh

E = 1000 × 9.8 × 3000

E = 29400000 J

Next, we shall obtain the energy at height = 2000 m

E = mgh

E = 1000 × 9.8 × 2000

E = 19600000 J

Finally, we shall obtain the the energy lost by the car. Details below:

Energy lost = Energy (at height 3000 m) - (at height 2000 m)

Energy lost = 29400000 - 19600000

Energy lost = 980×10⁴ J

Thus, we can conclude that the energy lost is 980×10⁴ J

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Complete question:

A car of mass 1,000 kg begins stationary on a road at the top of a mountain, at a height h = 3,000 m. The car then rolls freely down a winding road, travelling a total distance of 5 km, to reach the height h = 2,000 m. Assume g = 9.8 ms-2:

How much energy did the car lose on descent? Give you answer to 3 significant figures, with units.

Energy lost =?

I agree with Katelyn's statement

Netwon's first law of motion states that an object will remain at rest or in uniform motion except acted upon by an external (unbalanced) force.

When balanced forces are acting on an object in motion, the object maintains its speed and direction.

This means that balanced forces do not change the speed and direction of an object in motion. We can say that the object is in equilibrium. It either remains at rest or in uniform motion.

Therefore, I agree with Katelyn's statement

A nebula is a cloud of gas and dust that gives rise to stars. The lone star can shine on its own for a very long time. They are not everlasting, despite the fact that they shine for a very long period. These observations allow us to examine the inside of stars of various ages, each of which has a unique interior temperature and set of circumstances.

In frigid clouds of gas and dust, stars form. Because dust is particularly opaque to optical and ultraviolet light, neither wavelength will get through the star-forming zone. Although less opaque than dust, gas remains opaque nonetheless. (b) Infrared, microwave, and radio wavelengths all easily penetrate dust. Additionally, dust scatters IR wavelengths to UV-optical light, which makes newborn stars and other dusty objects even luminous in the IR. Atomic and molecular gas that is cool (T 50 k) and dense is visible in the IR and also emits line radiation in the submm and radio.

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The boly pulls on the sign with a force of 60N, according to the magnitude formula f=MxA.

Magnitude means essentially "distance or amount" in the perspective of physics. In terms of motion, it shows the relative or absolute size, direction, or movement of an object. It is employed to describe something's size or scope. Magnitude in physics generally refers to a quantity or quantity.

The magnitude scale, which measures an earthquake's size, is unchanged by distance from the event. Nevertheless, strength reflects the level of rocking brought on by an earthquakes at a specific location and diminishes with distances from the epicentre.

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Significant figures 4.050*10^-6 seconds has is four as exponential digits in scientific notation are not significant.

Five rules for significant figures are

All the digits known with certainty or those indicated by the markings on the measuring device and the first estimated, digit that is one digit past the smallest marking on the measuring device is called the significant figures of a measured quantity.

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Answer:

What is the figure? please provide

A ball, thrown upward, initially loses speed due to downward free-fall. At the top of it’s trajectory, it momentarily stops, then increases its speed as it descends. Throughout, its acceleration is (g)= 9.8 m/s²

A particular object has changed its velocity in a particular time. That ratio called the acceleration of the object. Example: A car starts its journey from rest and ends at 25 m/s velocity in 5 second interval. So the acceleration is = 25/5 = 5m/s²

According to the definition of the acceleration due to gravity, Whenever a particle or a object throw upwards some amount of force attract that object at the center of the earth that is called the gravity. For this gravity that produce a acceleration due to gravity. The value of acceleration due to gravity is 9.8 m/s².

According to the question a ball is thrown upwards, initially loses speed due to downward free-fall. This case happens for the gravity.

At the top of it’s trajectory, it momentarily stops, then increases its speed as it descends. This also happens for the gravity cause the ball always attract the ball at the center of the earth.

For this attraction the acceleration due to gravity generated. So its acceleration throughout the case is same as the acceleration due to gravity, that means = 9.8 m/s².

According to the conversation, we can conclude that, Throughout, its acceleration is (g)= 9.8 m/s²

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Answer:

See below

Explanation:

1/4 d / 2  = time for 2 m/s

3/4d  / 3  = time for 3 m/s

total distance / total time = average speed :

d / [  1/4 d  / 2 m/s   +  3/4 d/ 3 m/s ]     <=====simplify ( 'd' goes away)

1 / [ 1/4 / 2    + 3/4 / 3 ]   =   2  2/3 m/s

Given,

Mass of basketball is 2 kg.

Mass of kickball is 1.32 kg

The initial velocity of the basket ball is 2.37m/s.

The final velocity of the kickball is 1.5 m/s

By conservation of momentum,

The velocity of the basketball is 1.38 m/s

Answer:

Explanation:

Given:

V₀ = 0.25 m/s

t = 1.7 s

g = 9.8 m/s²

_____________

H - ?

H = V₀*t + g*t²/2

H = 0.25*1.7 + 9.8·1,7² / 2 = 14.6 m

The algae are producers. The otter is a secondary consumer,  frog is a secondary consumer. The flies are primary consumers, snails are primary consumers and heron is a secondary consumer. All statements are correct.

A food web is basically a graphical representation of animals eating each other in an ecological community that is formed by the natural interconnection of food chains.

Sea otters are secondary consumers that hunt sea urchins in the kelp forest. A secondary consumer is the great blue heron. It can be eaten by the food web's tertiary consumer.

Snails are herbivores, which means they only eat plants, and thus fit into the food web as primary consumers.

Herbivores are always the primary consumers, and omnivores can be the primary consumers when eating plants. Rabbits, bears, giraffes, flies, humans, horses, and cows are examples of primary consumers.

Thus, all the given statements are correct.

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Answer:

73.3333meters per second

Explanation:

average velocity= distance ÷ time

=(88×1000)/(20×60)

=73.3333m/s

94 mn the wavelength in micrometers of light with a frequency of 3. 2 × 10^12 hz.

What is wavelength?

The wavelength of a periodic wave is the distance over which the wave's shape repeats in physics. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighbouring crests, troughs, or zero crossings, and it is a feature of both travelling and standing waves, as well as other spatial wave patterns. The spatial frequency is the inverse of the wavelength. The Greek letter lambda (λ) is widely used to represent wavelength.

Because all electromagnetic waves travel at the speed of light, c = v (lambda) where v is frequency and lambda is wavelength and c is the speed of light.

v=c/λ

By putting the values -

3.2 × 10^12 = 3.00*10^8 / λ

λ= 3.0010^8 / 3.2 × 10^12

= 9.375m 1 / 10^

= 94 mn

Therefore the answer to this question is 94 mn.

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Answer: PE = 23535.96 J

Explanation: Screenshot is formula

The speed of the coin just before it hits the ground dropped from a height of 80 m will be 40 m / s

The total PE at the greatest height = The K.E just before it touches the ground

PE = m g h

KE = 1 / 2 * mv²

PE = Potential energy

KE = Kinetic energy

m = Mass

g = Acceleration due to gravity

h = Height

v = Final velocity

h = 80 m

g = 10 m / s²

PE = KE

m g h = 1 / 2 * mv²

m * 10 * 80 = 1 / 2 * m * v²

v² = 800 * 2

v = √ 1600

v = 40 m / s

Potential energy is the energy at rest and kinetic energy is the energy in motion. Potential energy is maximum at rest and when the object starts to move, it potential energy drops and it kinetic energy rises.

Therefore, the speed of the coin just before it hits the ground is 40 m / s

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Answer:

D - False

Explanation:

D   the protons and electrons are ATTRACTED to each other

The statement which is false about the nucleus of an atom is that the nucleus repels the electrons which move around it. Hence, option D is correct.

The atom is the smallest particle of matter that may be divided without releasing electrically charged. Additionally, it is the smallest piece of matter with the characteristics of a chemical substance. The atomic is the basic unit of chemistry as a result. The majority of an atom remains in space. A cluster of negative electrons surrounds a positive charge nucleus made up of nucleons, which make up the rest of the structure.

The electrons, the lightest alpha particles in nature, are larger and less dense than the nucleus, which is both small and dense. Electrons are drawn to positive charges by their electric forces, which also bind electrons to a nucleus in an atom.

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The magnitude of the acceleration for both objects is 0.36 m/s².

Acceleration is the name we supply to any system wherein the velocity modifications. for the reason, that velocity is a velocity and a path, there are only methods in order to accelerate: trade your velocity or exchange your path or exchange each.

Acceleration is the fee of alternating of the velocity of an object with recognition to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by means of the orientation of the internet pressure acting on that object.

Uniform acceleration, non-uniform acceleration, and average acceleration are the three varieties of multiplied motions. The term uniform acceleration refers to a motion in which an object travels in an immediate line with an increase in velocity at the same intervals of time.

calculation:-

mass 1 = 43 kg

F₁ = 430 N

mass 2= 40 kg

F₂ = 400 N

Tension = (F₁m₂ + F₂m₁)/ m₁ + m₂

              = (430 × 40 + 400 × 43) / 83

               =34400 /83

               = 414.46 N

a = (F₁ - F₂)/ toatl mass

   = 430 N - 400N / 83

  = 0.36 m/s²

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The point is the water table closest to the surface in valleys.

In areas of topographic relief, the water table generally follows the surface but tends to approach it in valleys and intersect the surface with streams and lakes. Closest to the surface is the vented zone where the interstices between the soil are filled with both air and water. Below this layer is a saturation zone where the gaps are filled with water.

The water table is the subsurface boundary between the soil surface and the area where groundwater saturates the space between sediment and rock fissures. At this boundary, water pressure equals atmospheric pressure. The top surface of the groundwater is the groundwater table. Beneath this surface, all pore spaces and cracks in sediments and rocks are completely filled and saturated with water. Groundwater occurs in these saturated layers known as saturation zones or water vapor zones.

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The moment of inertia of the object as a multiple of MR² is 0.126 MR².

According to the law of conservation of energy he is always conserved at each and every point so going by this,

At the top will be equal to the energy at the bottom.

Because at the top there will be no kinetic energy and add the bottom there will be no potential energy the bottom there will be only kinetic energy and rolling energy.

So we can write,

Mgh = 1/2IW² +1/2MV²

Where,

M is the mass of the body,

G is acceleration due to gravity,

H is the height,

I is the moment of inertia,

W is angular velocity,

V is the linear velocity.

The height of the object is given to be 2.11 m. Final velocity is given to be 5.8m/s.

Now, putting all the values,

M(2.11)(9.8) = 1/2(IV²/R²) + 1/2MV²

I = 0.126MR²

Hence the moment of inertia of the object is 0.126MR².

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Complete question- an object rolls without slipping down a 2.1 m high incline.

What is the moment of inertia of the object starting from rest if it has a final velocity of 5.8m/s stress the moment of inertia as a multiple of MR² object and R is its radius.

Any region's population density is determined by the physical characteristics of Earth.

Earth:
The only astronomical object known to harbour life is Earth, which is third from the Sun. Despite the vast amounts of water in the Solar System, only Earth has liquid surface water. Around 71% of the surface of the Earth is covered by the seas, dwarfing its lakes, rivers, and polar ice. The remaining 29% of the Earth's surface is made up of land, which includes continents and islands. The interplay between the numerous slowly moving tectonic plates that make up the Earth's surface layer produces mountain ranges, volcanoes, and earthquakes. The planet's liquid outer core generates the magnetic field that creates the magnetosphere and diverts dangerous solar winds.

The population density is greatly influenced by the physical characteristics of the Earth. It is evident that locations with ideal living circumstances have higher population densities. The population density is influenced by the temperature and climate.

An territory's birth rate will rise and its mortality rate will fall as population growth grows in that location. The population consequently starts to increase.

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Answer:

Explanation:

Given:

V₀ = 20 m/s

t = 4 s

V = 50 m/s

H₁ = 300 m

H₂ = 100 m

______________

a) Acceleration of the object:

g = 9.8 m/s²

b) Displacement after 4 seconds.

H = V₀*t₁ + g*t²/2  = 20*4 + 9.8*4² / 2 ≈ 160 m

c) Time required to reach a speed of 50 m/s.

t =  (V - V₀) / g = (50 - 20) / 9.8 ≈ 3 s

d) Time required to fall 300 m.

H₁ = V₀*t + g*t²/2

300 = 20*t + 9.8*t² / 2

4.9*t² + 20*t - 300 = 0

t ≈  6 s

e) Speed after falling 100 m.

Н₂ = (V₂² - V₀²) / (2*g)

V₂² = V₀² + 2*g*H

V₂ = √ (V₀² + 2*g*H) = √ (20² + 2*9.8*100) ≈ 49  m/s

Jacque's velocity during the race segment is 3 meter/sec.

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In fact, velocity is a vector quantity. It has magnitude and direction both.

We are given that,

The time taken by Jacque = Δt = t₂ - t₁ = 7.0min - 3.5min = 3.5 min

The distance covered in race = Δx = x ₂- x₁ = 1260m - 630m = 630m

To get the velocity of the racer we can calculate by the equation,

V =  Δx/ Δt

Here,  Δx is the change in distance and Δt is the change in time of the racer. So putting the value in above equation for getting racer velocity,

V = 630m/3.5min

V = 180 m/min

V = 3 m/sec

Therefore , Jacque's velocity during the race would be 3 m/s.

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Answer:

22.5 m/s²

Explanation:

The final velocity, initial velocity, distance traveled and acceleration are related by the equation

v² = u² - 2ad  [1]

where

v = final velocity

u = initial velocity

a = acceleration

d = displacement

We can manipulate the above equation [1] to solve for a in terms of the other parameters

a = (v² - u²)/2d

Given v = 30 m/s, u = 0 m/s, d = 20 m.

a = (30² - 0²)/(2 x 20)

a = 900/40

a = 22.5 m/s²

The mass of air passing the blades per second is 2.76 × [tex]10^{4}[/tex] kg

A kind of solar energy is wind energy. The technique through which wind is utilized to generate power is known as wind energy. The kinetic energy in the wind is converted to mechanical power by wind turbines.

A renewable energy source that harnesses the power of the wind is wind energy. The wind energy formula is given by,

P = 1/2 ρAV³,   where P = Power

Given that,

density of air (ρ) = 1.2kg/m³

volume (v) = 2.3×[tex]10^{4}[/tex] m³

Now calculate mass of the air -

mass = density × volume

         = 1.2 × (2.3 × [tex]10^{4}[/tex])

         = 2.76 × [tex]10^{4}[/tex] kg

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The kinetic energy of the car is 300,000J

Kinetic energy is the energy of motion.

The formula for kinetic energy is given as [tex]K.E = \frac{1}{2} mv^{2}[/tex]

where m = mass of object , v = speed of object.

An object having some speed and mass will have kinetic energy while an object at rest will not have any kinetic energy since the speed of object at rest is zero.

Since at rest speed is zero, an object has kinetic energy only when it is in motion.

From the question,

m = 1,500kg

v = 20m/s

K.E = (1/2) x 1,500 x 20 x 20

K. E = 300,000J

The car now possess a kinetic energy of 300,000J

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If you transmitted radio signals to the moon when it is 385,000 km from the earth and waited to receive the echo, then you have to wait 2.57 seconds.

The total displacement covered by any object per unit of time is known as velocity.

As given in the problem if you transmitted radio signals to the moon when it is 385,000 km from the earth and waited to receive the echo,

The speed of light = 3 × 10⁸ m /s

The distance traveled by the radio waves  = 2 × 385,000 × 1000

                                                                     = 770000000 meters

The time of the echo = 770000000 /  3 × 10⁸

                                   = 2.57 seconds

Thus, you have to wait 2.57 seconds to receive the echo.

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The law of conservation of angular momentum.

What is angular momentum?

Angular momentum is the rotational analog of linear momentum in physics. It is a conserved quantity, meaning the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.

What is the law of conservation of angular momentum?

The law of conservation of angular momentum asserts that a system's total angular momentum is conserved when there is no external torque present. In other words, the magnitude and direction of the total angular momentum of an isolated system remain constant.

According to the Nebular Theory, the solar system originated as a massive, slowly rotating cloud of gas measuring around one light-year in diameter. As the cloud cooled, its own gravity caused it to collapse. It distorted into a revolving pancake shape due to the conservation of angular momentum, which required it to spin faster as it shrank.

Hence, the law of conservation of angular momentum best explains why the solar nebula spun faster as it shrank in size.

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