The hare is currently 100 meters from the finish line and 895 metres from the starting line. The tortoise is 895 m from the starting line and is travelling at a speed of 0.27 m/s in the direction of the finish line.
What affect the speed of constantly moving object?The tortoise must go 895 meters whereas the hare must travel only 100 meters to reach the finish line. The tortoise will keep moving towards the finish line and may finally cross it before the hare wakes up if the hare dozes off for a predetermined period of time.
Inertia has an impact on both moving and stationary objects, according to Newton's first law of motion. According to Newton's first law, an item will remain at rest or move straight ahead at a constant speed unless another force is operating on it that is not balanced.
Therefore, If the hare travels at a speed of 15 m/s, he can afford to rest for a maximum of 6.67 seconds without losing the race.
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Gwen is baby-sitting for the Parker family. She takes 3-year old Allison to the
neighborhood park and places her in the seat of the children's swing. Gwen pulls the
1.8-m long chain back to make a 26° angle with the vertical and lets 14-kg Allison
(swing mass included) go. Assuming negligible friction and air resistance, determine
Allison's speed at the lowest point in the trajectory.
Allison's speed at the lowest point in the trajectory is 6.41 m/s.
What is trajectory?A mass-moving object's route through space as a function of time is known as its trajectory or flight path.
The potential energy at the highest point is given by:
PE = mgh = (14 kg)(9.8 [tex]m/s^2[/tex])(1.8 m)(cos 26°) = 237.5 J
Where h is the height above the lowest point.
At the lowest point, all of the potential energy is converted to kinetic energy, so:
KE = PE = 237.5 J
The kinetic energy is given by:
KE = (1/2)[tex]mv^2[/tex]
where v is the speed at the lowest point. Solving for v, we get:
v = sqrt(2KE/m) = sqrt(2(237.5 J)/(14 kg)) = 6.41 m/s
Thus, 6.41 m/s. Allison's speed at the lowest point in the trajectory.
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Sam ran a 2000-meter race. He started at 9:00 AM and finished at 9:05 AM.
He started out fast but slowed down toward the end. Calculate Sam’s
average speed during the race.
Answer: Approximately 6.67 meters per second.
Explanation:
Speed is a quantity measured in meters per second, so because the elapsed time is 5 minutes, let's turn it into seconds. 5 minutes multiplied by 60 seconds is 300 seconds.
2000 meters divided by 300 seconds is about 6.67 meters per second, which is the speed.
Two newspapers Graphic and Times. delivered to 40 houses in house receives at least news newspaper. In at all of Graphic and 24 com topic copies. 26 copies of of Times are are delivered. Find the number of who which receive Times only. houses in Adentan. Each one copy of
A baggage handler drops your 10 kg suitcase onto a conveyor belt running at 1.5 m/s. The materials are such that s = 0.50 and k = 0.20. How far is your suitcase dragged before it is riding smoothly on the belt?
The suitcase is dragged approximately 0.58 meters before it is riding smoothly on the conveyor belt.
What is drag force?Drag force is a force that resists the motion of an object through a fluid (such as air or water) due to the frictional forces between the object's surface and the fluid.
Here,
The initial velocity of the suitcase is zero since it was dropped from rest. The suitcase will accelerate until the kinetic friction force between it and the conveyor belt matches the force of gravity acting on it, resulting in a constant velocity. We can use the following equation to find the distance traveled by the suitcase until it reaches a constant velocity:
[tex]d = (v_f^2 - v_i^2) / (2 * \mu* g)[/tex]
We know the final velocity of the suitcase is 1.5 m/s, the coefficient of kinetic friction is 0.20, and g is 9.81 m/s^2. Substituting these values into the equation, we get:
[tex]d = (1.5^2 - 0) / (2 * 0.20 * 9.81)[/tex]
d ≈ 0.58 meters
Therefore, the suitcase is dragged approximately 0.58 meters before it is riding smoothly on the conveyor belt.
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the density of mercury is 13,600 kg/m3 at 0 ∘c . what is the density of mercury at 200 ∘c ?
The density of mercury is 13,600 kg/m³ at 0°C . 13,119 kg/m³ is the density of mercury at 200 °C.
The density of mercury at 0 °C is given as 13,600 kg/m³. To find the density of mercury at 200 °C:-
ρ2 = ρ1 / [1 + β (T2 - T1)]
The coefficient of volume expansion of mercury is given as 1.82 x 10⁻⁴ K⁻¹.
Converting the temperatures to Kelvin, we have:
T₁ = 0 + 273.15 = 273.15 K
T₂ = 200 + 273.15 = 473.15 K
ρ₂ = 13,600 kg/m³ / [1 + (1.82 x 10⁻⁴ K⁻¹)(473.15 K - 273.15 K)]
ρ₂ = 13,600 kg/m³ / [1 + (1.82 x 10⁻⁴ K⁻¹)(200 K)]
ρ₂ = 13,600 kg/m³ / [1 + 0.0364]
ρ₂ = 13,600 kg/m³ / 1.0364
ρ₂ = 13,119 kg/m³
Therefore, the density of mercury at 200 °C is approximately 13,119 kg/m³.
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sound waves with frequency 3700 hz and speed 343 m/s diffract through the rectangular opening of a speaker cabinet and into a large auditorium of length 100 m. the opening, which has a horizontal width of 21.0 cm, faces a wall 100 m away. along that wall, how far from the central axis will a listener be at the first diffraction minimum and thus have difficulty hearing the sound? (neglect reflections.)
The central will a listener be at the first minimum and thus have difficulty hearing the sound is 41.2 m.
As with all waves, the relationship between sound speed, frequency, and wavelength can be described by the equation where stands for sound speed, stands for sound frequency, and represents the wavelength.
Perpendicular to the speaker and spaced from the central should make up the initial minimum.
Therefore,
100m/[(0.300m)(3000Hz)/(343m/s)]²-1
= 41.2 m
Therefore, the central will a listener be at the first minimum and thus have difficulty hearing the sound is 41.2 m.
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What force is your bottom pushing against the chair
The force that your bottom is pushing against the chair is called the "action force."
What does action force mean?The action force is equal and opposite to the "reaction force" that the chair is pushing back against your bottom. This is known as Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction.
So, when you are sitting in a chair, your bottom is pushing against the chair with a certain amount of force, and the chair is pushing back against your bottom with the same amount of force. This is why you are able to sit in the chair without falling through it.
here you can find an example of Newton's third law
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what is the magnitude of the acceleration of a skydiver who is currently falling at one-half his eventual terminal speed?
0.68 m/s² is the magnitude of the acceleration of a skydiver who is currently falling at one-half his eventual terminal speed.
The terminal speed of a skydiver is the maximum velocity that the skydiver reaches in freefall, where the net force acting on the skydiver is equal to zero. The terminal speed is determined by the balance between the gravitational force acting on the skydiver and the air resistance force acting on the skydiver. The acceleration of a skydiver who is currently falling at one-half his eventual terminal speed can be calculated using the equation for the net force acting on the skydiver:
[tex]F net = ma[/tex],
here,
m is mass of the skydiver,
a is acceleration.
Since, the net force is equal to zero at terminal speed, we can calculate the air resistance force at one-half the terminal speed and equate it to the gravitational force to find the acceleration. The air resistance force is proportional to the square of the velocity, so at one-half the terminal speed, the air resistance force is proportional to one-fourth of the terminal speed squared.
Let's call the terminal speed Vt and the skydiver's velocity at one-half the terminal speed V/2:-
[tex]F gravity = m * g[/tex],
here, g is acceleration due gravity (9.8 m/s^2).
[tex]F air = -k * V^2[/tex],
here, k constant that depends on the skydiver's body shape, size, and surface area.
At terminal speed, net force is zero:-
[tex]m * g = -k * Vt^2[/tex]
At one-half the terminal speed, the air resistance force is proportional to one-fourth of the terminal speed squared:-
[tex]F air = -(k/4) * Vt^2 = -(k/4) * (V/2)^2[/tex]
The gravitational force is unchanged:-
[tex]F net = m * g + Fair[/tex]
Reversing in the values:-
[tex]m * g = m * g + (-k/4) * (V/2)^2[/tex]
Rearranging the eq.:
[tex](k/4) * (V/2)^2 = m * g[/tex]
Dividing both sides by m:-
[tex](k/4) * (V/2)^2 / m = g[/tex]
[tex](V/2) / \sqrt{((k/4) / m)} = \sqrt{(g)}[/tex]
Finally, dividing both sides by (V/2):-
[tex]a = \sqrt{(g)} / \sqrt{ ((k/4) / m)}[/tex]
Note that the constant k is difficult to calculate exactly, as it depends on many factors such as the skydiver's body shape, size, and surface area, as well as the air density and altitude. However, we can use an estimated value of k to find an approximate value for the acceleration. For example, a common value used for k is 0.75, so if we use this value, we get:
[tex]a = \sqrt{(9.8 m/s^2)} / \sqrt{((0.75/4) / m)} = 0.677 = 0.68 m/s^2[/tex].
Hence, the magnitude of the acceleration of a skydiver who is currently falling at one-half his 0.68 m/s².
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width of the wooden block
The width of the wooden block measured by the vernier caliper is 0.74 cm.
What is the width of the wooden block?
The width of the wooden block measured by the vernier caliper is calculated as follows;
Width of the wooden block = main scale reading + vernier scale reading
The main scale reading = 0.7 cm
The vernier scale reading ( point of alignment ) = ( 0.4 cm / 10 ) = 0.04 cm
The width of the wooden block measured by the vernier caliper is calculated as follows;
Width of the wooden block = 0.7 cm + 0.04 cm
Width of the wooden block = 0.74 cm
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now, each mass is pulled down by an additional 1 cm and released, so that it oscillates up and down. which of the oscillating systems has the highest frequency?
The frequency of System 1 is highest, followed by System 2, and finally System 3.
The equation: gives the frequency of an oscillating system.
f = (1 / 2π) * √(k / m)
When the mass is m, the spring constant is k, and the frequency is f.
Each mass is dragged down an additional 1 cm before being released, so the oscillation amplitude is the same for all of the masses.
The square root of the spring constant is directly proportional to an oscillating system's frequency, while the square root of the mass is inversely proportional.
As a result, the system with the greatest frequency also has the largest spring constant and lowest mass.
We shall compare the masses since, based on the available data, we are unable to tell which system has the largest spring constant.
m1 Equals 0.5 kg in System 1.
System 2: 0.8 kg/m2
System 3: 1.2 kg/m3
We can determine the frequencies of each system using the frequency formula:
f1 = (1 / 2)*(k / m1), f2*(k / m2)*(k / m3), and f3*(1 / 2)*(k / m3)
We can compare the frequencies by looking at the mass terms because the spring constant is the same for all three systems:
F1 = 1/M1 = 1/0.5 = 1.414 F2 = 1/M2 = 1/M8 = 1.118 F3 = 1/M3 = 1/M2 = 1/M3 = 0.912
System 1 therefore operates at the greatest frequency, followed by systems 2 and 3.
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what two types of forces act on a fluid element? question 5 options: shearing and surface forces body and surface forces gravitational and body forces
The two types of forces that act on a fluid element is body forces and surface forces.
A body force is a force that acts throughout the volume of a body.( 1) Forces due to graveness, electric fields and glamorous fields are exemplifications of body forces. Body forces discrepancy with contact forces or face forces which are wielded to the face of an object.
Normal forces and shear forces between objects are superficial forces as they're wielded to the face of an object. All cohesive face magnet and contact forces between objects are also considered as face forces.
Face force denoted fs is the force that acts across an internal or external face element in a material body. face force can be perished into two vertical factors normal forces and shear forces. A normal force acts typically over an area and a shear force acts parenthetically over an area.
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Miss
case of 16 calculators,
which she got for half
price. Shipping was $12.
which brought the total
to $100. What is the full
price for a case?
Miss case of 16 calculators, which she got for half price. Shipping was $12. Which brought the total to $100. The full price for a case is $176.
What is calculation?A calculation is a deliberate mathematical process that transforms one or more inputs into one or more outputs or results.
Here the price of the calculator has to be calculated
The total price including the shipping is $100
She got 16 calculators
Shipping was $12
100 - 12 = 88
Since there was half price.
88 x 2 = $176
Therefore, the full price for a case is $176.
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as an electric field gets stronger, does the distance between equipotential lines increase, decrease, or stay the same?
As the electric field gets stronger, the distance between equipotential lines decreases.
What is an Equipotential line?Equipotential lines are hypothetical paths through space that link places with an identical electric potential. Equipotential lines, then, are a group of electric field sites where the electric potential is constant. These lines enable a way to see and comprehend the electric field in a specific area because they are always perpendicular to the electric field lines at every point.
In several branches of physics, including electrostatics, electromagnetism, and quantum mechanics, equipotential lines are helpful. They are used to explain and comprehend how charged particles and electric fields behave.
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what is the energy of a radio photon from the same station?
A radio photon is a quantum of electromagnetic radiation in the radio frequency range of the electromagnetic spectrum. Electromagnetic radiation is a type of energy that travels through space as waves, and is characterized by its frequency, wavelength, and energy.
What is the energy of a radio photon from the same station?The energy of a radio photon from a particular radio station depends on the frequency of the radio wave, which is typically measured in Hertz (Hz). The energy of a photon is given by Planck's equation:
E = h*f
where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 joule-seconds), and f is the frequency of the wave.
For a typical radio station, the frequency of the radio wave is in the range of several hundred kilohertz to several megahertz. Let's take the example of a radio station that broadcasts at a frequency of 1000 kilohertz (1 megahertz).
Using the equation above, we can calculate the energy of a single photon of this radio wave as follows:
E = 6.626 x 10^-34 J*s * 1 x 10^6 Hz
E = 6.626 x 10^-28 joules
So, the energy of a radio photon from a 1-megahertz radio station is about 6.626 x 10^-28 joules.
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a student is playing with a magnetic compass near a bar magnet. at a range of 10 cm, they notice that the compass needle is pulled slightly towards the magnet. what would they see if the compass was kept at the same distance, but moved to the other end of the magnet?
Needle will be pushed away form the magnet if the compass was kept at the same distance, but moved to the other end of the magnet
When the magnetic field of the bar magnet intercepts the magnetic field of the compass needle, the compass needle deflects because it encounters a distinct magnetic field.
Needle of the magnetic compass is deflected when a bar magnet is brought up to a magnetic compass. As the north pole of the magnet is brought close to the compass, the needle's south side is drawn to it. Needle will be pushed away form the magnet if the compass was kept at the same distance, but moved to the other end of the magnet.
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Hi could someone help me answer these questions from my worksheet, thanks!
2. The field representation of a positive charge would not be a good representation of the gravitational field around one mass because the electric force between charged particles is an electromagnetic force that behaves differently from the gravitational force between masses.
3. The field around two positive charges would not be a good representation of the gravitational field around two masses because the direction of the electric force between two charges is dependent on their relative positions and charges, whereas the direction of the gravitational force between two masses is always attractive and points toward the center of mass.
4, A good analogy for the process of work being done and electric potential energy being stored when positive and negative charges are moved farther apart would be the process of lifting a heavy object because work must be done to lift a heavy object and store gravitational potential energy, work must be done to separate positive and negative charges and store electric potential energy.
5. The gravitational force is the dominant force we notice in our everyday interactions and at planetary or larger scales because it depends only on the mass of the objects, which is typically much larger than their charge.
What is the difference between gravitational force and electric force?The gravitational force between two masses is proportional to the product of their masses and inversely proportional to the square of the distance between them, while the electric force between two charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.
Gravitational force is a long-range force that acts between all masses, while the electric force is a short-range force that acts only between charged particles.
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D Pressure is directly proportional to temperature at constant volume. True False
Answer: I think false!
Explanation: hope this helps and I hope everyone is having a good day/Friday&weekend^^
how much extra water does a 140-lb concrete canoe displace compared to an ultra lightweight 41-lb kevlar canoe
The volume of water displaced canoe compared to an ultra-lightweight Kevlar canoe is 1.586ft^3 extra water.
Which would give us the total volume displace by each canoe, however, the problem asks us for the difference between volumes displaced, and thus the difference is:
ΔV = (Mc_c + Mc_K /ρ)_c - (Mc_c + Mc_K /ρ)_K
Since both the mass of the load and the density of the fluid is the same for both cases, the previous equation becomes:
ΔV = Mc_c - Mc_K /ρ
ΔV = 140lb - 41lb / 62.4 lb/ft^3
ΔV = 1.586ft^3
Kevlar canoe is a type of canoe made of a material called Kevlar. Kevlar is a strong synthetic fiber that is known for its resistance to abrasion, heat, and cuts. It is commonly used in the manufacturing of body armor, bulletproof vests, and other protective gear. In the case of a Kevlar canoe, the material is used to construct the hull of the canoe, making it lightweight, durable, and easy to maneuver.
Kevlar canoes are popular among outdoor enthusiasts, particularly those who enjoy canoeing or kayaking in whitewater rivers, lakes, or oceans. They are also popular among people who like to take long trips or expeditions as the Kevlar material ensures the canoe can withstand harsh conditions and heavy use.
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Complete Question: -
How much extra water does a 140-lb concrete canoe displace compared to an ultra -lightweight 41-lb Kevlar canoe of the same size carrying the same load?
an organ pipe is 95 cm long and open on both ends. what frequency note does the pipe produce? take the speed of sound to be 343 m/s
The organ pipe produces a note with a frequency of approximately 181 Hz.
f = (nv)/(2L)
where:
f = frequency
n = the harmonic number (the first harmonic is 1, the second is 2, etc.)
v = the speed of sound (343 m/s)
L = the length of the pipe (95 cm = 0.95 m)
Since the pipe is open on both ends, it can produce all the odd harmonics (1st, 3rd, 5th, etc.). We'll find the frequency of the first harmonic (n=1):
f = (1343)/(20.95)
f = 181.05 Hz
Frequency is a term used in physics to describe the number of waves, vibrations, or cycles that occur in a given amount of time. It is measured in Hertz (Hz), which represents the number of cycles per second. For example, if a wave oscillates up and down 50 times in one second, its frequency is 50 Hz.
Frequency is a fundamental concept in many areas of physics, including sound, light, and radio waves. It is an important factor in determining the pitch of a sound, as well as the color of light.
In addition, frequency is closely related to the wavelength of a wave, which is the distance between two consecutive points of a wave with the same phase. The relationship between frequency and wavelength is given by the equation c = fλ, where c is the speed of light or sound, f is the frequency, and λ is the wavelength.
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Based on what you learned about light, select all of the correct statements from the following list.a. High frequency photons carry more energy than long wavelength photons.b. All electromagnetic waves travel at the speed of light.c. Light can act both as a wave and a particle.d. A photon is a particle of light. X-rays and gamma rays are long wavelength photons.e. Different types of electromagnetic radiation are fundamentally different types of waves.f. The only type of electromagnetic radiation that is actually considered light is visible light.
Correct statements about light are a) b) c) d) and false statements are e) and f) based on radiation properties
Correct statements about light are:
a. High frequency photons carry more energy than long wavelength photons. This is because the energy of a photon is directly proportional to its frequency, according to the equation E=hf, where E is energy, h is Planck's constant, and f is frequency. Therefore, photons with higher frequencies (and shorter wavelengths) have higher energy than those with lower frequencies (and longer wavelengths).
b. All electromagnetic waves travel at the speed of light. This is a fundamental property of electromagnetic waves, which are made up of oscillating electric and magnetic fields that propagate through space at the speed of light in a vacuum.
c. Light can act both as a wave and a particle. This is known as wave-particle duality and is a fundamental concept in quantum mechanics. Depending on the experiment, light can exhibit both wave-like and particle-like behavior.
d. A photon is a particle of light. This is true. Photons are the fundamental particles of light and are massless particles that travel at the speed of light.
e. Different types of electromagnetic radiation are fundamentally different types of waves. This is false. All types of electromagnetic radiation are fundamentally the same type of wave, differing only in their frequency and wavelength.
f. The only type of electromagnetic radiation that is actually considered light is visible light. This is false. All types of electromagnetic radiation, from radio waves to gamma rays, are considered forms of light. However, the human eye is only sensitive to a narrow range of frequencies within the electromagnetic spectrum, which we perceive as visible light.
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A platinum resistance thermometer measure temperature on the assumption that the change in electrical resistance of platinum is proportional to the change in temperature. The resistance of the platinum at 100oc. Calculate the temperature when the resistance is 9.601ohms. What will be the resistance which the temperature is 45oc.
The resistance is directly proportional to the temperature. Then resistance of platinum at 100°C IS 2.5 Ω. Then, the when the resistance becomes 9.61 ohms is 384°C. Then, the resistance at 45°C is 1.1 ohms.
What is resistance ?Resistance in a material is the hindrance to electric current. The resistance through a material depends on the electric voltage, temperature and current.
The resistance is directly proportional to the temperature.
then given R1/T1 = R2/T2
Given the resistance at 100 °C is 2.5 ohms .
R2 = 9.6 ohms
then, T2 = R2 T1/R2
T2 = (9.6 ohms × 100°C)/2.5 ohms = 384°C.
Then, the resistance at 45 degree Celsius is calculated as follows;
R2 = (2.5 ohms × 45)/100°C = 1.1 ohms.
Therefore, the resistance of platinum at 45°C is 1.1 ohms.
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what is the maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 36.4 a current in a 1.60 t field?
The maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 36.4 a current in a 1.60 t field is 283.04 N m.
1) torque on the loop will be :
T = N*I*L^2*B*sin(90)
T = 150*36.4*0.18*0.18*1.6
T = 283.04 N m
2) T = 283.04*sin(10.9)
T = 53.52 Nm
3) I = T/N*area*B
I = 9/36.4*3.14*0.364*0.364*0.8
I = 0.082 A
Current = 0.082 A
Necklace is the rotational fellow of direct force.( 1) It's also appertained to as the moment of force( also shortened to moment). It represents the capability of a force to produce change in the rotational stir of the body.
The conception began with the studies by Archimedes of the operation of regulators, which is reflected in his notorious quotation" Give me a switch and a place to stand and I'll move the Earth". Just as a direct force is a drive or a pull, a necklace can be allowed of as a twist to an object around a specific axis.
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if speed of particle triples by what factor does it kinetic energy increase
If speed of particle triples, the kinetic energy will be times six (6).
What is the relationship between kinetic energy and speed?Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.
The kinetic energy of a moving object is directly proportional to its mass and directly proportional to the square of its velocity.
This means that an object with twice the mass and equal speed will have twice the kinetic energy while an object with equal mass and twice the speed will have quadruple the kinetic energy.
Therefore, an object with triple speed will have times six kinetic energy.
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What is the acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m?
The acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m g = 9.8 m/s2.
calculation using the equation:
Gravity (g) = (G x Mass of Planet)/(Radius of Planet)^2
Where G is the gravitational constant (6.67408 x 10-11m3kg-1s-2).
Therefore, gravity (g) = (6.67408 x 10-11m3kg-1s-2 x 9.8 x 1026 kg)/(2.8 x 107 m)^2
g = 9.8 m/s2
What is acceleration due to gravity?
Acceleration due to gravity is the acceleration of an object in a vacuum due to the force of gravity. It is commonly denoted by g and has a value of 9.8 m/s² or 32.2 ft/s² at sea level on Earth.
Therefore, The acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m g = 9.8 m/s2.
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How does an object's motion change as a result of centripetal acceleration?
Centripetal acceleration, the acceleration of a body traversing a circular path. Because velocity is a vector quantity (that is, it has both a magnitude, the speed, and a direction), when a body travels on a circular path, its direction constantly changes and thus its velocity changes, producing an acceleration.
Please answer these question asap.
An airplane flies 170km in 15 min in the given case.
To find the average speed, we divide the total distance by the time taken:
Average. speed = Total distance / Time taken
In this case, the total distance is 170 km and the time taken is 15 min. However, it's more common to express speed in km/hr, so we need to convert 15 min to hours:
15 min = 15/60 = 0.25 hours
Now we can calculate the average speed:
Avg. speed = 170 km / 0.25 hours = 680 km/hr
Therefore, the average speed of the airplane is 680 km/hr.
Q1b. Sarah rides her horse with a constant speed of 20 km/hr. How far can she travel in 4 hours?
To find the distance Sarah can travel in 4 hours, we multiply her speed by the time:
Distance = Speed x Time
In this case, Sarah's speed is 20 km/hr and the time is 4 hours, so:
Distance = 20 km/hr x 4 hours = 80 km
Therefore, Sarah can travel 80 km in 4 hours on her horse.
Q2a. An airplane flies at a constant speed of 780 miles per hour. How long will it take to travel a distance of 2635 miles?
To find the time it takes the airplane to travel a distance of 2635 miles, we divide the distance by the speed:
Time = Distance / Speed
In this case, the distance is 2635 miles and the speed is 780 miles per hour, so:
Time = 2635 miles / 780 miles per hour ≈ 3.38 hours
Therefore, it will take the airplane approximately 3.38 hours to travel a distance of 2635 miles at a constant speed of 780 miles per hour.
Q2b. An airplane flies at a constant speed of 540 miles per hour. How long will it take to travel a distance of 2160 miles?
To find the time it takes the airplane to travel a distance of 2160 miles, we divide the distance by the speed:
Time = Distance / Speed
In this case, the distance is 2160 miles and the speed is 540 miles per hour, so:
Time = 2160 miles / 540 miles per hour = 4 hours
Therefore, it will take the airplane 4 hours to travel a distance of 2160 miles at a constant speed of 540 miles per hour.
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if a researcher measures two individuals on an ordinal scale, it is impossible to determine which individual has the larger score. (True or False)
The statement "If a researcher measures two individuals on an ordinal scale, it is possible to determine which individual has the larger score" is false.
An ordinal scale is a type of measurement scale that allows for the ranking of individuals or objects based on a specific characteristic or trait. For example, if a researcher is measuring the level of pain experienced by two individuals, they may use an ordinal scale with categories such as "no pain," "mild pain," "moderate pain," and "severe pain." The individual who falls into the "severe pain" category would have a larger score than the individual in the "mild pain" category. Therefore, it is possible to determine which individual has the larger score when using an ordinal scale.
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Again some as last 40 pionts and brianlest
Which of these statements is true of the impacts of climate change?(1 point)
Responses
They have become less severe over time.
They will impact human food supplies.
They affect plants and animals more than people.
They are mostly associated with oceans.
They will impact human food supplies.
Climate change is affecting food production by causing changes in temperature, precipitation patterns, and extreme weather events, which can reduce crop yields and disrupt food systems. This, in turn, can impact food security and increase food prices, particularly for vulnerable populations. Climate change is also affecting the distribution of fish and other aquatic species, which are critical sources of protein for many communities.
In fact the statement that the climate change affects plants and animals more than people can be considered as true. Because, they cannot have sufficient protection as humans have.
What are climate changes ?The climate is the change in whether for a longer period of time over an area. The climate changes in each season and apart from that, some worse conditions in earth make some dramatic climate changes which badly affects all living and non- living things in the world.
The global warming is the notable climate change occurring in earth due to the uncontrolled emission of gases like carbon dioxide. The rise in temperature melts the ices and rises the sea level which leads to the extinction of some polar animals.
Plants and animals are more pronged to these changes because they don' t have sufficient protection against the threatening climatic changes. Hence, option C is correct.
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a capacitor is a device that is used to store up electrical potential energy. it consists of three parts sandwiched tightly together. charges from one of the outer pieces are pumped around the circuit onto the other outer layer. in order for the capacitor to be able to build up as much potential as possible, what type of material should the middle layer be made of?
It is made up of three pieces that are closely packed together. Particles from one of outside parts are pumped all around circuit onto the second outer layer.
What makes it a capacitor?Because of this, the capacitor is occasionally referred to as the capacitor. A passive element is known as a capacitor because it can store more electric power than a comparable element when employed as an insulator and insulated conductor.
What does a symbol for a capacitor mean?The capacitor symbol must show the construction of the capacitor as two lines, either flat and curved, close but not touching.
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a drag chute must be designed to reduce the speed of a 3000-lb dragster from 220 mph to 50 mph in 4 sec. assume that the drag force is proportional to the velocity.what value of the drag coefficient k is needed to accomplish this?how far will the dragster travel in the 4-sec interva
Assuming that the drag force is proportional to the velocity, the dragster will travel approximately 392 meters during the 4-second interval.
To find the value of the drag coefficient k, we can use the following formula:
F = kv
where F is the drag force, k is the drag coefficient, and v is the velocity of the dragster.
At the initial velocity of 220 mph, the drag force is given by:
F₁ = kv₁
where v₁ is the initial velocity of 220 mph. Similarly, at the final velocity of 50 mph, the drag force is given by:
F₂ = kv₂
where v₂ is the final velocity of 50 mph.
During the 4-second interval, the average velocity of the dragster is:
vavg = (v₁ + v₂)/2 = (220 mph + 50 mph)/2 = 135 mph
Converting to SI units:
vavg = 60.54 m/s
The change in velocity during the 4-second interval is:
Δv = v₂ - v₁ = 50 mph - 220 mph = -170 mph
Converting to SI units:
Δv = -76.02 m/s
The acceleration of the dragster during the 4-second interval is:
a = Δv/t = (-76.02 m/s)/4 s = -19.01 m/s²
The drag force acting on the dragster is:
F = ma
where m is the mass of the dragster, which is given as 3000 lb, or 1360.78 kg (converting to SI units). Substituting the given values, we get:
F = (1360.78 kg)(-19.01 m/s²) = -25,874.8 N
At the initial velocity of 220 mph, the drag force is:
F₁ = kv₁ = k(220 mph) = 97.97 kN
Similarly, at the final velocity of 50 mph, the drag force is:
F₂ = kv₂ = k(50 mph) = 22.37 kN
Using the given information, we can set up the following system of equations:
F₁ - F₂ = -25,874.8 N
(97.97 kN) - (22.37 kN) = -25,874.8 N
Solving for k, we get:
k = (-25,874.8 N)/(170 mph) = (-25,874.8 N)/(76.02 m/s) ≈ -340.83 Ns²/m
Therefore, the drag coefficient k that is needed to reduce the speed of the dragster from 220 mph to 50 mph in 4 seconds is approximately -340.83 Ns²/m.
To find how far the dragster will travel in the 4-second interval, we can use the formula for distance traveled under constant acceleration:
d = vi × t + (1/2)at²
where vi is the initial velocity, t is the time interval, a is the acceleration, and d is the distance traveled.
Substituting the given values, we get:
d = (220 mph)(4 s) + (1/2)(-19.01 m/s²)(4 s)²
Converting the initial velocity to SI units:
d = (98.10 m/s)(4 s) + (1/2)(-19.01 m/s²)(16 s²) ≈ 392 m
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