Use the following information to answer questions 2-4. Two people are playing a game of
tug-of-war with the rope attached to a mass of 25 kg at the center. The person pulling to
the left pulls with a force of 20 N. The person pulling to the right pulls with a force of 10 N.
2. Which direction will the 25 kg mass move?
a. Left
b. Right
C. It will not move
How do you know?

What will the velocity of the mass be after 1 second?

What will the velocity of the mass be after 2 seconds?

Answers

Answer 1

The direction in which the 25 kg mass will move is to the Left. The correct option is A.

This is because the force pulling to the left is greater than that to the right.

The velocity of the mass after 1 second will be 0.4 m/s

The velocity of the mass after 2 seconds will be 0.8 m/s

What is the net force on the mass of 25 kg?

The net force o the mass of 25 kg is given below:

Net force = 20 N - 10 N

Net force = 10 N

The velocity of the mass is given by the formula below:

Velocity = net force * time / mass

velocity after 1 second = 10 * 1 / 25

velocity after 1 second = 0.4 m/s

velocity after 2 seconds = 10 * 2 / 25

velocity after 2 seconds = 0.8 m/s

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Related Questions

what specific heat capacity of a silver metal if 55.0 g of absorbs 197.9 joules of heat and the temp rises 15 degrees Celsius?

Answers

The specific heat capacity of silver is {c} = 0.24 J/(kg °C).

What is specific heat capacity?

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases by 1 °C. Its units are J/(kg °C).

Given is that 55g of silver absorbs 197.9 joules of heat and the temperature rises by 15 °C.

Mathematically, we can write the specific heat capacity as -

Q = mcΔT

where -

{Q} → heat energy

{m} → mass

{c} → specific heat capacity

{ΔT} → change in temperature

We can write -

Q = mcΔT

197.9 = 55 x (15 - 0) x c

197.9 = 55 x 15 x c

c = 197.9/825

{c} = 0.24 J/(kg °C)

Therefore, the specific heat capacity of silver is {c} = 0.24 J/(kg °C).

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A satelite is launchedin a direction parallel to the surface of the earth with a velocity of 36900km\h from an altitude of 500km. Determine the maximum atitude reached and the periodic time of the satelite

Answers

The maximum altitude reached is 500 km. The periodic time of the satellite is  1.175 hour.

What is speed?

A body's velocity is the rate at which its displacement alters with respect to time. A vector quantity with both magnitude and direction is velocity. The meter/second unit of measurement for speed.

The satellite is traveling at a speed of 36900 km/h in a path parallel to the surface of the planet.

There is no initial velocity component in the vertical direction.

Consequently, the highest altitude achieved was 500 km.

and the satellite's periodic time is equal to 2π×(6400+500)/36900 hours.

= 1.175 hour.

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Suppose 2.00 V is applied to a parallel plate capacitor having plates of area 5.00 m2 that are separated by 0.121 mm of Teflon. Determine the charge stored in the capacitor. (Teflon κ=2.1)

Answers

The charge stored in the capacitor is 9.94 x 10^-10 C.

What is the charge stored in the capacitor?

The capacitance C of a parallel plate capacitor is given by the formula:

C = ε₀ε₁A / d

where ε₀ is the permittivity of free space (8.85 x 10^-12 C^2/Nm^2), ε₁ is the permittivity of the dielectric material (Teflon, with a value of 2.1 x 8.85 x 10^-12 C^2/Nm^2), A is the area of the plates (5.00 m^2), and d is the distance between the plates (0.121 mm = 0.121 x 10^-3 m).

Plugging in the values, we get:

[tex]C = ε₀ε₁A / d = (8.85 x 10^-12 C^2/Nm^2) (2.1) (5.00 m^2) / (0.121 x 10^-3 m) = 4.97 x 10^-10 F[/tex]

The charge stored in the capacitor is given by the formula:

Q = CV

where V is the voltage applied across the capacitor (2.00 V). Plugging in the values, we get:

[tex]Q = CV = (4.97 x 10^-10 F) (2.00 V) = 9.94 x 10^-10 C.[/tex]

So the charge stored in the capacitor is 9.94 x 10^-10 C.

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Part B
Describe how well you think your modeled position matches the observed position for the man.

Answers

To show an object's direction and location, motion maps are employed. The motion map provides the following information about the object's position and speed: With a high velocity, the object begins to travel away from the origin.

Justify the motion map?The object moves away from the origin at a fast initial speed before slowing down and returning. It moves away from the origin with a larger velocity after stopping for a little period of time, before turning around and moving back in the opposite direction.Refer to the motion map in the attachment for more information. The position of the object is indicated by the number next to each arrow on the motion map.Keep in mind that the short arrow indicates a low velocity, whereas the long arrow indicates a high velocity.Our next step is to use the arrows to determine the direction and position.According to the first arrow, the object accelerates rapidly as it leaves the origin.The third arrow indicates a greater velocity of motion for the object from the origin.The fourth and fifth arrows' orientation and placement show that the object next goes more slowly and back toward the origin.

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A fishing boat uses an ultrasound of frequency 4.0×10²Hz to detect a fish blow it. two echo's of the ultrasound are received after 0.09s coming from the shoal of the fish and the other after 0.12s coming from the sea bed .if the sea bed is 64m below the ultrasound transmitter and the receiver, calculate; a. the speed of the ultrasound in water b. the wavelength of ultrasound in water. c. the depth of the fish below the boat.​

Answers

a. the speed of the ultrasound in water is 1480 m/s

b. the wavelength of the ultrasound in water is 37 m

c. the depth of the fish below the boat is 89.76 m

How to calculate?

a.

v = fλ

v = fλ = (4.0 x 10^2 Hz)(λ)

the speed of the ultrasound in water is given as :

v = v_water = 1480 m/s

substitute v_water into the equation above and solve for λ:

λ = v_water / f = (1480 m/s) / (4.0 x 10^2 Hz) = 37 m

Therefore,  the speed of the ultrasound in water is 1480 m/s and the wavelength is 37 m.

c. The depth of the fish below the boat ia found using,

d = v_water * t / 2

The first echo came back after 0.09 s:

d = (1480 m/s) * (0.09 s) / 2 = 64.32 m

This is the depth of the sea bed, which is already known to be 64 m. So the fish must be deeper than the sea bed, and the second echo must have come from the fish. The second echo came back after 0.12 s:

d = (1480 m/s) * (0.12 s) / 2 = 89.76 m

So the depth of the fish below the boat is 89.76 m

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The speed of light in a vacuum is 300,000,000 m/s. How long does it take light to travel 1.5 x 108 km (which happens to be the distance from the sun to Earth)?

Answers

The speed of light is 3 × 10⁸ m/s. Light will take a time of 500 seconds to travel a distance of 1.5 × 10¹¹ m.

What is speed of light ?

Speed is a physical quantity used to measure the distance travelled by an object  per unit time. It is usually expressed in the unit m/s. Light is the fastest thing in the universe to be known.

The speed of light is the product of its frequency and wavelength. In general the ratio of the distance covered per time taken.

Speed of light  = 3 × 10⁸ m/s

distance from earth to sun =  1.5 × 10⁸km = 1.5 × 10¹¹ m

Now, the time taken by light to travel this distance is :

time = distance/speed.

t =  1.5 × 10¹¹ m / 3 × 10⁸ m/s = 500 seconds.

Therefore, the time taken by light from sun to reach earth surface is approximately 500 s.

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Which material could you claim is translucent?
A. pure air
B. clear plastic
frosted glass
D. construction paper PLEASE HELP

Answers

Answer:c

Explanation:edge 2023

Answer: c is actually true

Explanation:

Circuits
Calculate the total Resistance, Current, and Power in the circuits

Answers

The equivalent resistance of the circuit = 8 Ω. Current = 3 Ampere. Power =  72 watt.

What is electrical circuit?

A circuit in electronics is a complete circular channel via which electricity flows. A current source, conductors, and a load make up a straightforward circuit. In a broad sense, the word "circuit" can refer to any permanent path through which electricity, data, or a signal can pass.

The equivalent resistance of the circuit = 2 Ω + 4 Ω + (6 Ω || 3Ω)

= 8 Ω

Current flowing through the circuit = (24 V ÷ 8 Ω) = 3 Ampere.

Power = VI = 24 × 3 watt = 72 watt.

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b) Do all metals have the same melting point?
IV:
DV:
CV:

Answers

Answer: the melting point of iron alloys and the melting point of steel, occur at higher temperatures, around 2,200-2,500 Fahrenheit (°F) / 1,205-1,370 Celsius (°C). Melting points of copper alloys (including bronzes, pure copper, and brass) are lower than iron, at ranges around 1,675-1,981°F / 913-1,082°C.

why is the persistence method of forecasting limited?

Answers

The persistence method is the simplest forecasting method. But it has its own limitations.

When weather patterns change slowly and features on weather maps move slowly, the persistence approach works effectively. It also works effectively in regions where the weather varies little from day to day throughout the summer. However, if the weather changes drastically from day to day, the persistence approach frequently fails and is not the ideal forecasting strategy to utilize.

It may appear that the persistence forecast is only useful for shorter-term forecasts like for day or two. However one of the most significant tasks of the persistence forecast is anticipating long-term weather conditions or producing climate forecasts. Making long-term projections for monthly and seasonal weather conditions requires considerable ability. For predictions longer than ten days, certain alternative forecasting approaches, such as numerical weather prediction, lose all of their accuracy. Persistence is therefore a "hard to beat" strategy for forecasting over extended time periods.

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a body of mass 5kg accelerates uniformly with a steady force of 20N. calculate the speed of the car after 5 seconds

Answers

Answer:

F=ma

v-u=at

Explanation:

F=ma

v-u=at

If subsliminal perception influences behaviors and attitudes, how might it be used to alter consumer behavior? How they be used in politics? Explain. Write a minimum 300 words about it.

Answers

The concept of subliminal perception is quite interesting because it suggests that people' thoughts, feelings and actions are influenced by stimuli that are perceived without conscious awareness of perception, including consumers behaviors.

Subliminal Messages in Political Propaganda. Subliminal messages are candidate messages that are received by prospective voters without adequate critical processes, so that supporters will ultimately justify whatever the candidate says, The very personal interaction on social media shows that. We can see how many things that are contrary to his religious beliefs are still accepted when the conflicting messages are not critically filtered by supporters of certain candidates.

Subliminal Perception

Subliminal (subconscious) vision is a deliberate process created by communication engineers, whereby you will receive and respond to information and instructions without realizing it. The messages that are in the printed words, pictures or even the sounds that are presented or introduced are either very fast or very subtle passing through your awareness and alertness.

Actually, information, or stimuli that can be consciously felt by humans can be evaluated, criticized, discussed, refuted and possibly rejected by viewers. Something that is subliminally programmed in the subconscious (unconscious) will not encounter such an obstacle. TV viewers may protest, or an image in cyberspace will be rejected. This subliminal information is predictably stored in your brain and is capable of influencing human judgment, and behavior.

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what role does observation play in weather forecasting

Answers

Observation is an integral part in scientific investigation. In weather forecasts, keen observation is very essential in weather forecast to scientifically report the climate changes.

What is weather forecasting ?

Weather forecasters provide up to date information regarding the changes in weather in different regions and the factors affecting it. The primary atmospheric measurements that aid weather forecasters in making their predictions are observation on temperature, humidity, precipitation, air pressure, wind speed, and wind direction.

Since the first weather observations were kept on record, these same criteria have been utilized. However, there have been substantial changes in the types and quality of weather devices as well as the approaches to evaluating observations.

Thermometers, rain gauges, barometers, and anemometers are common tools for observing the weather. Wind profilers, weather balloons  Doppler radar, and satellites are a few examples of more advanced equipment.

Human observations continue to give crucial information on sky conditions, clouds, and the kind, size, and amount of precipitation even with the highly sophisticated instruments currently accessible.

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Do sound waves travel faster through solids or gases? I WILL GIVE Brainliset.

Answers

Answer:

Sound waves travel faster through solids than through gases.

Explanation:

The speed of sound in a solid is determined by its elasticity and density. Solids are generally denser and more elastic than gases, so they can transfer the energy of a sound wave more effectively, leading to a faster speed of sound.

The speed of sound in a gas is influenced by its temperature, pressure, and composition. Gases are generally less dense and less elastic than solids, so they transfer the energy of a sound wave less effectively, leading to a slower speed of sound.

In general, the speed of sound in solids is about four to five times faster than in gases.

Answer: Solids.

Explanation: Because gas have molecules too far a part, the sound has issues traveling through it. On the other hand solids have the molecules very close together so the sound waves travel more quickly through it.

Sound waves travel over 17 times faster through steel than through air.

Basically, the more close together the molecules are, the faster the sound will spread.

A man throws a penny down 4 m/s off the top
of the empire state building. If it accelerates at 9.8 m/s^2 the whole way
down for 8.42 s, what is the height it fell from?

Answers

The velocity of penny is 4 m/s with an acceleration of 9.8 m/s² within 8.42 s. Then, the height from which it fell down is 381 m.

What is acceleration ?

Acceleration  of an object is the measure of its rate of change in velocity. It is a vector quantity having direction and magnitude. It is the ratio of change in velocity to the change in time.

Given velocity of the penny u = 4 m/s

acceleration = 9.8 m/s²

time = 8.42 s.

Then the height from which the penny is fell down is calculated as follows:

h = ut + 1/2 at²

h = 4 m/s × 8.42 s + 1/2 9.8 m/s² × 8.42 ×8.42 = 381 meters.

Therefore, the height from which the penny fell from is 381 m.

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Steam moves into the cylinder of a steam engine at a constant pressure and does 0.84 J of work on a piston. The diameter of the piston is 0.016 m, and the piston travels a distance of 0.021 m in one stroke. What is the pressure of the steam?

Answers

Expansion stroke refers to the forward motion of a steam engine piston.The steam has a pressure of 103.45 kPa.

What is the pressure of the steam?

Expansion stroke refers to the forward motion of a steam engine piston.The piston is propelled forward during the expansion stroke by the expansion of steam in the cylinder.Additionally moving is the piston's connecting crank shaft.

When the piston is expanding, the crankshaft's wheel rotates only halfway.

W = p * V is the formula, where W stands for work, p stands for pressure, and V is the change in piston volume.

We are aware of:

W = 0.6 J.

The piston measures 1.8 cm in diameter.

This indicates that r = 0.9 cm.

Since it moves 2.3 cm, a cylinder's height is given by h = 2.3 cm.

V = r2 h = 0.92 3.14 2.3 5.85 cm3 = 0.00000585 m3

The pressure is p = W/V = 0.6 J/0.00000585 m3 = 103,448.27 Pa, or p = 103.45 kPa.

The steam has a pressure of 103.45 kPa.

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A girl is swinging on a swing. At the lowest point of her swing, she has 900 J of kinetic energy and 300 J of potential energy. A moment later, she has 552 J of kinetic energy. What is her potential energy at this point, in J?

Answers

The potential energy at that point is  648 J.

What is her potential energy?

We have to note that by the use of the law of the conservation of the mechanical energy that energy can not be created or destroyed but that the energy can be converted from one form to the other.

We now know that the total energy of the system is; 900 J + 300 J = 1200 J

It then follows from the law of the conservation of the mechanical energy that this total energy must be constant.

Potential energy at that point = 1200 J - 552 J

= 648 J

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The bridges often have expansion joints to account for the changed in size due to temperature changes. Suppose a bridge is supported by steel girders; the central span has a girder that is 28m long.
If the girder warmed from 0°C to 32°C, by how much does its length increase?

Answers

The change in length is directly proportional to the change in temperature. Here, if the temperature changes from  0°C to 32°C, the length of girder changes from 28 m to 31.2 m. Thus, length increases by 3.1 m.

What is thermal expansion ?

As the temperature of a substance increases, the distance between its molecules increases as their intermolecular forces gets weaken at higher temperatures.

The solid substances, especially metallic parts undergo thermal expansion and we can observe a change in their length and gap formed in between. This is what called as thermal expansion.

The change in length l is directly proportional to the change in temperature.

given length of the girder at 0°C or 273 K  = 28 m

then length at  32°C  or 305 K = (305 × 28 )/273 K = 31.2 m

Therefore, the length of the girder will increases by 3.1 meters.

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sketch the electric field for a) a negative point charge near a positively charged plate

Answers

The electric field for a negative point charge near a positively charged plate attached below

While being directed from the left plate to the right plate, the electric field in the center of the two plates will equal the sum of the two electric fields produced by the plates.

Electrified fields Every point in space has the vector quantity E. The force that would be applied to a unit positive test charge if it were positioned at a specific location is represented by the electric field at that location.

Any charge can be affected by the electric force known as the electric field. The start fraction is equal to E with a vector on top, while the end fraction is equal to F with a vector on top divided by q.

N/C, Newtons/coulomb The dimensions of an electric field are N/Cstart text, N, slash, C, and end text. An electric field, F, with a vector on top, equaling q, E, and a vector on top can be used to represent the electric force.

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Consider the equation v = (1/2)zxt?. The dimensions of the variables v, x, and t are [L/T], [L], and [T] respectively. The numerical factor 2 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions?

Answers

The dimensional formula of  physical quantity z is [T⁻²].

What is dimensional formula?

The definition of the dimensional formula is the correct statement of the physical quantity in terms of its fundamental unit.

The relation between physical quantities v,x, z and t is

v = (1/2)zxt

The dimensional formula of  physical quantity v is = [L/T] = [LT⁻¹]

The dimensional formula of  physical quantity x is = [L]

The dimensional formula of t is = [T]

Hence, the dimensional formula of z is  = [v]/[x][t]

= [LT⁻¹]/[L][T]

= [LT⁻¹L⁻¹T⁻¹]

= [T⁻²]

The dimensional formula of  physical quantity Z is [T⁻²] .

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The fastest that a human has run is about 12m/s
(a) If a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, how high would she go?
(b) Compare this height with the world record in the pole vault.

Answers

Answer:

Explanation:

The mass of the human = x

a) EK=1/2x144= 72x

   EK=EP

72x=mgh

72x=x * 10 * h

h=7.2m

b) the world record in the pole vault = 6.2m

6.2<7.2

A cue ball rolls toward a billiard ball with a velocity of 1.0 m/s east. Both balls have identical masses. what happens to the total momentum after the two balls collide?

Answers

The total momentum after the two balls collide remains conserved.

What is collision in physics?A collision happens when two bodies come in direct contact with each other.In this case, the two bodies exert forces on each other in a short period of time.The energy and momentum of bodies interacting undergo a change as a result of the collision.An elastic collision is an encounter (collision) between two bodies in which the total kinetic energy of the two bodies remains the same.In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.

Given is that a cue ball rolls toward a billiard ball with a velocity of 1 m/s east. Both balls have identical masses.

For the elastic collision, the momentum remains conserved. So -

[tex]$m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}[/tex]

We can write -

{m} + {m} = m{v₁ + v₂}

{v₁ + v₂} = 2m/m

{v₁ + v₂} = 2

 

Therefore, the total momentum after the two balls collide remains conserved.

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What is the current reading on the ammeter A?

Answers

The current reading on the ammeter A is 0.30 A.

What is electric current?

A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.

Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles.

Current is scalar quantity and it follows the algebraic summation during addition.

The current reading on the ammeter A is = (0.20 A + 0.10 A) = 0.30 A.

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The total clockwise moment about a pivot is 5 Nm and the total anti-clockwise moment is 10 Nm. Will the object turn?
Yes or no?

Answers

Answer:

Yes, the object will turn.

Explanation:

The object will turn because there is an net clockwise moment of 5 Nm and an anti-clockwise moment of 10 Nm, resulting in a net clockwise moment of 5 Nm. According to the laws of physics, an object will rotate in the direction of the net torque acting upon it. In this case, the net torque is acting in a clockwise direction, causing the object to rotate in that direction.

A rock is dropped from a sea cliff, and the sound of it striking the ocean is heard 3.7 s later.
If the speed of sound is 340 m/s, how high is the cliff?
Neglect all frictional forces.

Answers

The height of the cliff, given that the sound of rock dropped from the cliff was heard 3.7 s later is 629 m

How do I determine the height of the cliff?

We know that echo of sound wave is given by the following formula:

Speed = (2 × distance) / time

Using the above formula, we can determine the height of the cliff. This is illustrated below:

Time = 3.7 secondsSpeed of sound = 340 m/sHeight of cliff =?

Speed = (2 × height) / time

340 = (2 × height) / 3.7

Cross multiply

2 × height = 340 × 3.7

2 × height = 1258

Divide both sides by 2

Height = 1258 / 2

Height = 629 m

Thus, from the above calculation, we can conclude that the height of the cliff is 629 m

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The distance versus time graph for Object A and Object B are shown.

A graph titles Distance vs Time. A curved line is drawn through point 10 on y axis and this line is labeled Object A. The graph for Object B is a straight slanting line passing through the origin

Which statement best describes the motion of Object A and Object B?

Both objects move with variable speed.
Both objects move with constant speed.
Object A moves with constant speed and Object B moves with variable speed.
Object A moves with variable speed and Object B moves with constant speed.

Answers

The statement that best describes the motion of Object A and Object B is that Object A moves with variable speed and Object B moves with constant speed.

What is speed?

The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time. Speed is thus a scalar quantity.

From the graph, we can deduce that Object A moves with variable speed as there is change in its movement towards a specified part and Object B moves with constant speed.

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why radiometric dating can be used to date some rocks and not others.
What other methods are used?

Answers

Answer:

Radiometric dating is a method of dating rocks and minerals based on the decay of their radioactive isotopes. This method can be used to date rocks of any age, including those older than the Earth itself. However, some rocks are too old for radiometric dating, as the isotopes of certain elements have already decayed completely. Other methods of dating rocks and minerals include relative dating, which relies on stratigraphic relationships, and absolute dating, which relies on physical parameters such as the presence of uranium and thorium.

The Sun has an angular diameter of about 0.5∘ and an average distance of about 150 million km. What is the Sun's approximate physical diameter in km?

Answers

To find the physical diameter of the Sun, we can use the formula for angular size:

d = D * tan(Θ/2),

where d is the physical diameter, D is the distance from the observer to the object, and Θ is the angular size.

Given that the angular diameter of the Sun is about 0.5 degrees and its average distance is about 150 million km, we have:

d = 150 million km * tan(0.5∘/2) = 150 million km * tan(0.25∘)

Since the tangent function is a continuous function, we can use an approximation to find its value:

tan(0.25∘) ≈ 0.0043

Therefore:

d ≈ 150 million km * 0.0043 = 645,000 km

So, the Sun's approximate physical diameter is 645,000 km

A car P was decelerating at 2.0 m/s^2 when it passes a stationary car Q, and speed was 20 m/s. At the same car Q from rest and accelerated at 2.5 m/s² along the same straight road.
(i) Sketch the speed-time graph for cars P and Q. Mark appropriate values on both axes.
(ii) Find the time when car Q overtook car P.
(iii) How far was car Q from car P when car P came to a stop?

(b) Two vehicles P and Q start from the same point O and travel along lthe same road. The speed-time graphs of the two vehicles are as shown in the graph.
(i) What is the distance from O when P overtakes Q? (ii) Find the distance between the vehicles after 5.0 s. Which vehicle is ahead?​

Answers

A. (i) The speed-time graph for cars P and Q is in the attachment.

(ii) The time when car Q overtook car P is 8.9 s.

(iii) Car Q is 25 ahead of car P when car P came to a stop.

B. (i) The distance from O when P overtakes Q is 22.4 m.

(ii) The distance between the vehicles after 5.0 s is 1 m. Car P is ahead of car Q.

The car is in uniform motion if the speed is constant. d = v × t

The car doing a non-uniform motion if the car increases or decreases its speed. Three formulas in non-uniform motion

v = v₀ + atv² = v₀² + 2add = v₀ t + 0.5 at²

where

v₀ = initial speed (m/s) v = final speed (m/s) a = acceleration or deceleration (m/s²)
Acceleration = + a
Deceleration = - at = time (s) d = displacement (m)

a. In this problem

Car P

v₀ = 20 m/sa = - 2 m/s²The car stop when v = 0
v = v₀ + at
0 = 20 - 2t
2t = 20
t = 10 s

Car Q

v₀ = 0a = 2.5 m/s²When car P stop at 10 s
v = v₀ + at
v = 0 + (2.5 × 10)
v = 25 m/s

Making speed-time graph

Car P
From 20 m/s at t = 0 s
To 0 m/s at t = 10 sCar Q
From 0 m/s at t = 0 s
To 25 m/s at t = 10 s

When car Q overtook car P both cars traveled the same distance

d car P = d car Q

(v₀ t + 0.5 at²) car P = (v₀ t + 0.5 at²) car Q

(20 × t)  + (0.5 × (- 2) × t²) = 0 + (0.5 × 2.5 × t²)

20t - t² = 1.25t²

0 = 2.25t² - 20t

0 = t (2.25t - 20)

t = 0  or  2,25t - 20 = 0

              2.25t = 20

              t = 20 ÷ 2.25
              t = 8.9 s

When car P stops at t = 10 s

Car P
d = v₀ t + 0.5 at²
d = (20 × 10) + (0.5 × (- 2) × 10²)
d = 200 - 100
d = 100 mCar Q
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 2.5 × 10²)
d = 1.25 × 100
d = 125 mDistance difference
125 - 100 = 25 m

B. In this problem

Car P moves in non-uniform motion

v₀ = 0At t = 5 s the speed v = 10 m/sThe acceleration
v = v₀ + at
10 = 0 + 5a
5a = 10
a = 2 m/s²

Car Q

From t = 0 - 2 s move in non-uniform motion
v₀ = 0
At t = 2 s the speed v = 6 m/sThe acceleration
v = v₀ + at
6 = 0 + 2a
2a = 6
a = 3 m/s²

When car Q overtook car P both cars traveled the same distance

Car Q moves in two types of motionFor Car Q
After t = 2 s move in uniform-motion
The speed at 2 s
v = v₀ + at
v = 0 + (3 × 2)
v = 6 m/s
The distance took at 2 s
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 3 × 2²)
d = 6 m
After t = 2 it move in uniform motion
d = v × t
d = 6tFor Car P
The distance took at 2 s
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 2 × 2²)
d = 4 m
The speed at 2 s
v = v₀ + at
v = 0 + (2 × 2)
v = 4 m/s
The distance after 2 s
d = v₀ t + 0.5 at²
d = (4 × t) + (0.5 × 2 × t²)
d = 4t + t²After t = 2 s the distance difference = 6 m - 4 m = 2mAfter t = 2 s
d car Q - d car P = 2 m
6t - (4t + t²) = 2
6t - 4t - t² = 2
0 = t² - 2t - 2

Factorize t² - 2t - 2 = 0 using quadratic formula

a = 1b = - 2c = -2t₁₂ = (- b ± (√(b² - 4ac))) ÷ 2a
t₁₂ = (2 ± (√(2² - (4 × 1 × - 2)))) ÷ 2
t₁₂ = (2 ± (√(4 + 8)) ÷ 2
t₁₂ = (2 ± (√12) ÷ 2
t₁₂ = (2 ± 3.46) ÷ 2t₁ = (2 - 3.46) ÷ 2 = - 1.46 ÷ 2 = - 0.73 impossible t₂ = (2 + 3.46) ÷ 2 = 5.46 ÷ 2 = 2.73 st total = 2 + 2.73 = 4.73 sCar Q overtook car P at t = 4.73 sDistance from car P
d = 4 + 4t + t²
d = 4 + (4 × 2.73) + 2.73²
d = 4 + 10.92 + 7.45
d = 22.4 m

After 5 s

Car P
d = v₀ t + 0.5 at²
d = 0 + (0.5 × 2 × 5²)
d = 25 mCar Q
d = 6 + 6t
d = 6 + (6 × (5 - 2))
d = 6 + (6 × 3)
d = 6 + 18
d = 24 mCar P ahead car QThe distance between two cars
25 - 24 = 1 m

Learn more about non-uniform motion here: https://brainly.com/question/30392559

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What is the skeletal system?
O It is a system comprised of glands that release hormones into the bloodstream.
It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for
blood cell formation.
O It is a system that coordinates and controls functions throughout the body and responds to stimuli.
It
is a system comprised of a series of organs that takes in oxygen from the atmosphere and releases carbon
dioxide.
Previous

Answers

Answer:It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for

blood cell formation.

Explanation: reason it is a system of which supports the body weight and holds your organs in without such a system theyd fly around damaging them due to such the answer is exactly as said it supports the body weight the movement of your legs and holds you up and it creates blood cells from your bome maro

Answer: The answer is: It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for

blood cell formation.

Explanation: I have my ways ;>

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