A Year on mercury is less than 40% as long as a year on earth.
What is Kepler’s Third law?According to Kepler's Third Law, the cubes of the semi-major axes of the orbits of the planets are directly proportional to the squares of the planets' orbital periods. According to Kepler's Third Law, as an orbiting planet's radius increases, so does the time of its orbit around the Sun. Thus, we learn that Mercury, the innermost planet, completes its orbit of the Sun in just 88 days. Saturn needs 10,759 days to complete the same task as the earth does in 365 days. Despite the fact that Kepler had no knowledge of gravitation at the time he developed his three laws, Isaac Newton used them to derive his theory of universal gravitation, which explains the mysterious force behind Kepler's Third Law.
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true or false? a longitudinal design can often determine cause and effect more accurately than a cross-sectional design.
True, A longitudinal design can often determine cause and effect more accurately than any cross-sectional design and this is a proven case.
How is the design influenced?By virtue of its scope, a longitudinal study is more likely than a cross-sectional study to suggest cause-and-effect linkages. In general, the design should be influenced by the research.
What is one benefit of a cross-sectional study over a longitudinal study?Sometimes, the direction of the research helps determine which design is most appropriate.
In contrast to longitudinal designs, adopting cross-sequential designs gives researchers the opportunity to quickly analyze a variety of age groups.
It also allows researchers to test for cohort effects, which is frequently impossible in a conventional longitudinal design.
A cross-sectional investigation when is carried out using several samples. The identical sample is used for longitudinal research.
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You are renting a car which is reported to achieve 10.1 km/l. what is its mileage in miles/gal?
The renting car that is reported to achieve 10.1 km/L its mileage in miles/gal is: 23.75 miles/gal
To solve this problem, we have to do the conversion of units with the given information.
Information about the problem:
Mileage (Km/L) = 10.1 Km/L1 mile is equivalent to 1.61 km1 gal is equivalent to 3.785 LConverting the units from km/L to miles/gal, we get:
10.1 Km/L * (1 miles / 1.60934 km) * (3.785 L 1 gal) = 23.75 miles/gal
10.1 Km/L is equivalent to 23.75 miles/gal
What is unit conversion?It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
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What two nonnegative real numbers with a sum of 46have the largest possible product?
Two nonnegative real numbers with a sum of 46 that have the largest possible product is 23 and 23.
Explanation
Any no's half when multiplied by itself gives the larges possible outcome also being the sum of the given no. as 46
Some trials
23 + 23 = 46 , 23 × 23 = 529
22 + 24 = 46 , 22 × 24 = 528
21 + 25 = 46 , 21 × 25 = 525
Hence, proven that Any no's half when multiplied by itself gives the larges possible outcome also being the sum of the given number.
What are real numbers?Any number that exists in the physical universe is a real number. Everywhere we look, we see numbers. Natural numbers are used to count things, while rational numbers are used to represent fractions,
irrational numbers are used to calculate a number's square root, integers are used to measure temperature, and so on. A group of real numbers is created by these various kinds of numbers.
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The magnitude of the magnetic field inside the toroid varies as a function of which parameters?
The magnitude of the magnetic field inside the toroid varies as a function of :
[tex]B=\mu _0 nI[/tex]
where, B = magnetic field
n is the number of turns,
I is the current induced
What is a toroid?
A toroid is a coil of insulated or enameled wire wound on a donut-shaped form made of powdered iron. It is used as an inductor in electronic circuits for low frequencies when large inductances are necessary.Toroidal coils carry more current than solenoidal coils of similar size, because of the larger-diameter wires can be used, and the total amount of wire is less, thus reducing the resistance .In a toroid, all the magnetic flux is contained in the core material.To learn more about Toroid, refer to:
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the 0.80 m diameter tires on a car make 65 revolutions as the car slows uniformly from 95 km/h to 45 km/h. find the angular acceleration of the tires.
The angular acceleration of the tyres is -4.213 rad/[tex]s^{2}[/tex] .
CalculationHere we have to use the third equation of motion in case of rotational motion so as to calculate the angular acceleration of the tires. It is given by
[tex]w\w\limits^2_f =w\w\limits^2_i + 2\alpha \theta[/tex]
Then, converting the transitional velocity to rotational velocity,
vi = 95km/hr = 95 x 5/18 m/s = 26.39 m/s
vf = 55 km/hr = 55 x 5/18 m/s =15.28 m/s
Diameter of tire = 0.80m
Radius of tire = Diameter of tire/2 = 0.80/2 = 0.40m
Therefore,
wi = [tex]\frac{vi}{r}[/tex] = 26.39/0.40 rad/s = 65.98 rad/s
wf = [tex]\frac{vf}{r}[/tex] = 15.28/0.40 rad/s = 38.20 rad/s
[tex]\theta[/tex] = 65 revolutions= 2[tex]\pi[/tex] x 65 = 408.40 radians
so we have,
[tex]\alpha[/tex] = [tex]\frac{w_{f}^2 - w_{i}^2 }{2 \theta }[/tex] = [tex]\frac{38.20^2 - 65.98^2}{2*408.4}[/tex]= -4.213 rad/[tex]s^{2}[/tex]
Hence the angular acceleration of the Tyres is -4.213 rad/[tex]s^{2}[/tex].
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A particle moves according to the equation x = 9t2, where x is in meters and t is in seconds. (a) find the average velocity for the time interval from 2.10 s to 2.85 s.
The average velocity for the time interval from 2.10 s to 2.85 s is Vavg = 18 m/s.
What is average velocity?
A vector quantity is average velocity. The change in position or displacement (∆x) divided by the time intervals (∆t) during which the displacement happens is the definition of average velocity. Depending on how the displacement is spelled out, the average velocity might be either positive or negative.
Vavg = d X/ d T
Here d X = change in distance
and d T = change in time
there Therefore dT= 2 x 9 x t
so, at t= 2.10s x = 37.8 m/s
at t= 2.85s x= 51.3 m/s
Therefore Vavg = (51.3 m/s - 37.8 m/s) / ( 2.85s - 2.10s )
Vavg = 18 m/s
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a baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s , just reaching the plate as she stops (safe, of course).
The deceleration of the player is -3.13 m/s² if the baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s.
What is linear acceleration?It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.
It is given that:
A baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s
As we know,
From the acceleration formula:
a = (v2 - v1)/t
a = (0 - 4.7)/1.5
a = -3.13 m/s²
Thus, the deceleration of the player is -3.13 m/s² if the baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s.
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9. insulators (nonmetals) have a higher be than metals, and it is more difficult for photons to eject electrons from insulators. discuss how this relates to the free charges in metals that make them good conductors.
Nonmetals do not conduct electricity or eject electrons when hit by photons.
What is an insulator?An insulator is a material that does not allow electric current to pass through it. A metal is a material that is able to conduct electricity. We know that metals are able to conduct electricity and are also able to eject electrons when hit by photons.
All these goes back to the nature of the metals and the nonmetals. We know that the difference between the valence band and the conduction band in nonmetals is so wide. This prevents the promotion of electrons from the valance band to the condition band.
As such, nonmetals do not conduct electricity or eject electrons when hit by photons.
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Which of the following statements distinguishes Einstein from Newton and Aristotle?
Einstein had a background that was critical in modern labs where he could probe this mystery further.
Einstein devised theories using logic to extrapolate existing knowledge and predict results.
Einstein’s understanding of curved space-time helped him understand gravity better on Earth.
Einstein’s thought experiments, although superior, were not able to generate useful results quickly.
Einstein’s understanding of curved space-time helped him understand gravity better on Earth.
Who is Albert Einstein?The man Albert Einstein was the person who first brought up the idea of relativity. The relativity theory drove home the assertion that there are no absolutes in the universe.
On the other hand, the works of Aristotle and Newton about gravity did not include this element of relativity. Though the work of Newton was highly empirical, the results did not incorporate the ideas of relativity.
Thus, what distinguishes Einstein from Newton and Aristotle is Einstein’s understanding of curved space-time helped him understand gravity better on Earth.
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If the speed of every atom in a monatomic ideal gas were doubled, what factor wouldthe kelvin temperature of the gas be multiplied?(a) 4.(b) 2(c) 1.(d)12.
The correct answer is 4.
We know that, for an ideal, mono atomic gas, we have:
Temperature is directly proportional to Kinetic Energy
Kinetic Energy = 1/2 x m x v^2, where
m - mass of the gas
v - velocity of the gas
Thus, temperature is directly proportional to the square of the velocity of the gas.
Therefore, if velocity (or speed) becomes twice, the Kelvin temperature will become four times of its original value.
If velocity of all the atom is doubled , then root mean square velocity will also get doubled .
Also we know , root mean square velocity Vrms = v(3RT/molar mass )
So Vrms is directly proportional to square root of T (temperature )
So is Vrms gets doubled , temperature gets 4 times .
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A mass attached to a spring is displaced from its equilibrium position by 5cm and released. The system then oscillates in simple harmonic motion with a period of 1s. If that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case?.
The time period remains the same = 1 sec.
We have a mass–spring system.
We have to determine the period of oscillation if mass–spring system is displaced from equilibrium by 10cm and not from 5cm.
What is the formula to calculate the time period of mass - spring system?The time period is given by -
[tex]$T = 2\pi \sqrt{\frac{M}{K} }[/tex]
According to the question -
For x = 5 cm the time period is 1 seconds.
The time period is directly proportional to [tex]$\sqrt{\frac{M}{K} }[/tex] and it is not dependent on x.
So the time period remains the same = 1 sec only and only is the spring - mass system is the same.
Hence, the time period remains the same = 1 sec.
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A scientist stated that rock layer C is the oldest and rock layer A is the youngest. Based on
the scientist's conclusion, what can you infer about the geologic history of the rock layers?
Explain your answer.
Why state of body and body at rest and body moving with constant velocity are equal?
This is Newton's first law of motion, which says it's due to the motion being opposed by unseen resistive forces such as friction and air resistance.
Newton's first law of motion :Newton's first law states that unless compelled to change its state by the action of an external force, every object is going to remain stationary or in uniform motion in a straight line. Inertia is the tendency to resist changes in a state of motion.
If an accident occurs or the brakes are suddenly applied to the car, the body will tend to continue its inertia and move forward, which will almost certainly prove fatal. Seat belts are used to prevent such accidents by preventing your body from moving forward in inertia and thus avoiding danger.
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A wave moves along a slinky with a speed of 0.75 m s1.
The wave travels the full length of the slinky in 3.2 s.
Calculate the length of the slinky.
Answer:
The wave takes 3.2 s at 0.75 m s⁻¹ to travel across a slinky. The length of slinky is 2.4 m.
What is a wave?
A wave is defined as a disturbance that travels from one spot to another through a medium. As an example of a wave, consider a slinky wave. When stretched from end to end and maintained at rest, the slinky assumes a natural state known as the equilibrium or rest position. The slinky's coils automatically assume this posture, equally spaced apart. The initial particle is pushed or shifted from its equilibrium or rest state to introduce a wave into the slinky.
Explanation:
As we know, [tex]speed=\frac{distance}{time}[/tex]
Therefore, [tex]distance = speed[/tex] × [tex]time[/tex]
=> d = 0.75 x 3.2
= 2.4 m
Hence, the distance the wave travels or the length of the slinky is 2.4 m.
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If both the mass of a simple pendulum and its length are doubled the period will:_________
If both the mass of a simple pendulum and its length are doubled the period will The time period of a pendulum does not depend on the mass of bob. So if the mass of bob doubled, the time period remains the same
A weight suspended from a pivot such that it can freely swing is called a pendulum. Gravity's restoring force will cause a pendulum to accelerate back toward its equilibrium position if it is sideways moved from its resting, equilibrium position. When the pendulum is freed, the restoring force acting on its mass causes it to oscillate, swinging back and forth, about its equilibrium point. The period is the length of time needed for one full cycle, or a left swing and a right swing. The period is influenced by the pendulum's length and, to a lesser extent, by the amplitude, or swing's width
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American football is played on a 100 yd long field, excluding the end zones. how long is the field in meters? (assume that 1 meter equals 3.281 feet.)
Answer:
100 yd * 3 ft/yd / 3.281 ft/m = 91.4 m
Check" 91.4 m " 3.281 ft/yd = 299.9 ft = 100 yd
A hiker walks 13.04 m at 38 degrees. What is the Y component of his displacement?
[tex]y = d \times sin \alpha \\ y = 13.04 \times sin3 \\ y \approx8.028 \: meters[/tex]
what is a resultant?
Answer: The resultant is the vector sum of two or more vectors.
11.A person walks 2 miles and stops to rest. She continues in the same direction
for another 2 miles.
a. What is her distance?
b. What is her displacement?
Answer:
A. Her distance is 4 miles.
B. Her displacement is positive.
Explanation:
She traveled 2 miles and then 2 miles so 2 + 2 = 4.
Displacement is the change in direction but she didn't change direction and continued in the same direction so the displacement would be positive.
Camille is driving her boat down the coast to the East (90 deg) at a steady 20 meters/sec. Her raft is
being pushed by a 3 meter/sec current to the South. After 5 minutes, what is her displacement from her
original position?
The displacement is 900 meter current to the South.
What is the displacement?We know that velocity is the ratio of the displacement of a body to time. Displacement is a vector quantity just as velocity. We know that given the fact that velocity and displacement are vectors, the direction of the movement is very important.
Thus, we can see that;
Velocity = 3 meter/sec current to the South
Time = 5 minutes or 300 sec
Velocity = displacement/ time
displacement = velocity * time
displacement = 3 meter/sec current to the South * 300 sec
= 900 meter current to the South
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. a free jet is a stream of fluid exhausted to the atmosphere (such as sketched below). the pressure of the fluid inside the free jet is usually assumed to be atmospheric pressure. however, if we do not neglect surface tension, the pressure in jet should be slightly higher than atmospheric pressure. thus, consider a free jet of water with velocity v
According to the question, the change in pressure for the jetstream is 14.54Pa.
What is pressure?The force applied perpendicularly to an object's surface expressed as a symbol (p or P) is the force divided by the area of the object's surface. The pressure when compared to the surrounding air pressure is known as gauge pressure. Pressure is expressed using a number of different units. The SI unit of pressure, the pascal (Pa), for instance, is equal to one newton per square meter (N/m²). Some of these measurements are the result of dividing a unit of force by a unit of area.
Explanation:
Given;
jet's diameter,d = 10⁻²m
temperature, t = 20°C
Surface tension acts only on the lines AB and CD.
Consider the equilibrium of forces;
∑F = 0
P₁-P₀ = 2σ/d
here surface tension σ = 0.0727 N/m
P₁-P₀ = 2×0.0727/10⁻²
= 14.54 Pascal
Hence, the change in pressure of the jetstream is 14.54 Pascal.
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Explain how the measurement of the speeds of individual galaxies in a cluster of galaxies can be used to determine the mass of the cluster of galaxies.
By Applying Newton's law of gravitation to this speeds, we can deduce the mass of the cluster.
What is a galaxy?
A galaxy is a collection of stellar remnants, stars, interstellar gas, dust, and dark matter that is gravitationally bound to each other. The name comes from the Greek word galaxias, which translates to mean "milky" and refers to the Milky Way galaxy, which houses the Solar System. Galaxies range in size from dwarfs with fewer than one hundred million (108) stars to the largest galaxies known as supergiants with one hundred trillion (1014) stars, each orbiting its galaxy's center of mass. Galaxies are thought to contain an average of 100 million stars.
Therefore, the speeds of individual galaxies can be used to determine the mass of the cluster of galaxies by the method of measuring the speeds and positions of the galaxies in a cluster as they orbit. And then, applying Newton's law of gravitation to this speeds, we can deduce the mass of the cluster.
Determination of mass of cluster using speeds of galaxies orbiting the center:
a) determine a cluster's average speed and redshift measurements
b) To determine each galaxy's individual speed, deduct this average from the galaxy's overall speed.
c) calculate cluster mass using newtons universal law of gravitation and individual speed
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In complete sentences please
The platform that would be most used by the teenagers in 2025 is Yo--utube
How do you interpret the bar chart?A bar chart is used to show the relationship between two variables. The bar chart can be used for the purpose of comparing data that is obtained from various variables. In this case, we are comparing the use of the various social media platforms by teens aged between 13 - 17 years.
We have to note that the social media platform that has the most usage and the most visitors must be the one that would have the highest usage as the years progresses. This is what we could be able to see from the chart as shown in the question.
Looking at the graph, we can see that Y--outube would be the leading social media platform among the teenagers by 2025. This is because it is visual and has the highest percentage of teens using it thus the trend would continue to grow upwards.
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a wheel with a radius of 45.0 cm rolls without slipping along a horizontal floor (fig. 3-37). at time t1, the dot p painted on the rim of the wheel is at the point of contact between the wheel and the floor. at a later time t2, the wheel has rolled through one-half of a revolution. what are (a) the magnitude and (b) the angle (relative to the floor) of the displacement of p?
The horizontal distance is equal to the half of the circumference of wheel.
x = 2 πr/2
= πr
= 3.14 * 45 * 10^-2
=1.413m
The vertical distance is equal to the diameter of wheel.
y=2r
= 2 * 45 * 10^-2
= 0.9m
The magnitude of the displacement of P is,
r^2 = x^2 + y^2
r^2 = (1.413)^2 + ( 0.9m)^2
r = 1.675
the angle is tanθ
θ= 32.5
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A ferris wheel having a radius of 8 m has a velocity of 8 m / s. is there a danger of the riders flying off?
A ferris wheel having a radius of 8 m has a velocity of 8 m / s. is there a danger of the riders flying off . No, the ferris wheel is not moving too fast.
What is a velocity?
Velocity may be a vector quantity that refers to "the rate at which an object changes its position." Imagine an individual moving rapidly - one step forward and one step back - always returning to the original starting position. While this might end in a frenzy of activity, it might result in a zero velocity.
What is the two types of velocity?
Constant velocity: is that the speed at which an object travels equal displacements in equal times. Variable velocity: it's the speed at which an object cuts different displacements at different times.
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Two trains are 150 km apart. train a moves at 50.0 km/hr towards train b, which moves at 30.0 km/hr toward train a on the same track. how much time do they have before the trains collide?
Two trains are seen as 150 km apart, if they are moving towards each other, they have 1.875 hours before the two trains collide.
What is relative motion, and why is it considered important?The motion or the speed of any object present with relation to a certain point is referred to as relative motion. For instance, a ball thrown upward while in a moving object, like a bus, would be travelling at the same speed with respect to the bus, and would fall again in relation to that speed.
The same physical rules that govern objects at rest on the planet also govern objects in any reference frame that is moving relative to the earth at a constant speed.
The Initial position of Train A = 0 km
The Initial position of Train B = 150 km
x= xi + vi*t
We have to set them equal to each other to find when their positions are the same.
50t = -30t + 150
t = 1.875 hr.
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If an object from a tall building falls, how long will it take before it reaches a speed of 49 m/s?
If an object from a tall building falls, it will take it 4.995 seconds to reach a speed of 49 m/s.
How to calculate time in projectile?The time taken for an object to fall can be calculated using the following equation of motion:
V = u + at
Where;
V = final velocityu = initial velocity (Om/s)a = acceleration due to gravity (9.81 m/s²)t = timeAccording to this question, an object from a tall building falls. The time it would take to reach a speed of 49m/s can be calculated as follows:
49 = 0 + 9.81(t)
49 = 9.81t
t = 49/9.81
t = 4.995s
Therefore, if an object from a tall building falls, it will take it 4.995 seconds to reach a speed of 49 m/s.
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A boy weighs 400 N. What is his mass?
Answer:
40kg(88pounds)
Explanation:
.
.
.
.
.
.
Answer: ≈ 40.8 kilograms (89.9 pounds)
Explanation: Well, assuming the boy is on Earth, then the gravitational acceleration is approximately 9.8 m/s^2.
So, we get: mass = weight / gravitational acceleration
Put two and two together and you get 400-N / 9.8 m/s^2 ≈ 40.8 kg (89.9 pounds).
While an object moves along a curved path it ______ possible for acceleration to be zero. which of the choices correctly fills in the blank?
While an object moves along a curved path it is not possible for acceleration to be zero.
What is acceleration?The term acceleration has to do with the change of velocity with time. We know that velocity is a vector quantity. Since velocity is a vector quantity, it means that velocity would have both magnitude and direction.
Given the fact that the magnitude of the velocity of the object that is moving along a curved path may be constant, the direction of the velocity still changes.
Owing to the fact that we must consider both changes in magnitude and direction of velocity, it then follows that while an object moves along a curved path it is not possible for acceleration to be zero.
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Sodum has a work function of 2. 1eV and is illuminated by radiation whose wavelength the is 150mm, Calculate the maximumum energy.
The maximum energy is 6.2 eV.
Photoelectric effect: Some electrons are released from the metal surface when photons strike it. The photoelectric effect is the name given to this occurrence.
The work function (φ) of a metal is the minimal amount of energy required to remove electrons from its surface.
Maximum kinetic energy is the most energy that electrons have when they are expelled off a metal surface (KEmax).
The work function of sodium is 2.1 eV.
The wavelength of the radiation is 150 nm.
Work function, φ = 2.1 eV
Wavelength, λ = 150 nm = 150 × 10⁻⁹ = 15 × 10⁻⁸ m
Einstein's photoelectric equation is given as:
E = φ + KE(max)
KE(max) = E - φ
KE(max) = ( hc / λ ) - φ
KE(max) = ( 6.63 × 10⁻³⁴) × 3 × 10⁸ / (15 × 10⁻⁸ × 1.6 × 10⁻¹⁹) - 2.1
KE(max) = 0.8287 × 10 - 2.1
KE(max) = 8.3 eV - 2.1 eV
KE(max) = 6.2 eV
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