The potential energy of the roller coaster at the top of the hill is equal to the kinetic energy of the roller coaster at the bottom of the hill.
What is the roller coaster?The roller coaster is a device that is known to be a medium that we could use to demonstrate energy conservation. This is because, in the roller coaster, there is a constant conversion of energy from potential energy to kinetic energy and vice versa.
Now, we must recall that the total mechanical energy of the system is a constant. This implies that the total mechanical energy does not change. The potential energy of the roller coaster at the to of the hill is converted to the kinetic energy of the roller coaster as it is descending.
As such, as we follow the principle of the conservation of energy, it becomes clear that by comparison, the potential energy of the roller coaster at the top of the hill is equal to the kinetic energy of the roller coaster at the bottom of the hill.
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How does the work required to accelerate a particle from 10 m/s to 20 m/s compare to that required to accelerate it from 20 m/s to 30 m/s ?.
Answer:
Explanation:
The work is equal to the change in kinetic energy:
A = Ek - Ek₀
Given:
V₁ = 10 m/s
V₂ = 20 m/s
V₃ = 20 m/s
V₄ = 30 m/s
_____________
A₃₄ / A₁₂ - ?
A₁₂ = m·V₂²/2 - m·V₁²/2 = (m/2)·(V₂² - V₁²)
A₃₄ = m·V₄²/2 - m·V₃²/2 = (m/2)·(V₄² - V₃²)
A₃₄ / A₁₂ = (V₄² - V₃²) / (V₂² - V₁²)
A₃₄ / A₁₂ = (30² - 20²) / (20² - 10²)
A₃₄ / A₁₂ = (900 - 400) / (400 - 100) = 500 / 300 ≈ 1.67
The work of A₃₄ is 1.67 times more than the work of A₁₂
what is the size and position of an image formed by a plane mirror? question 20 options: same size, closer to the mirror same size, same distance away from the mirror enlarged, closer to the mirror reduced, farther from the mirror
Same size image is formed by a plane mirror, and same distance away from the mirror is formed by a plane mirror.
How an image is formed by a plane mirror.?To see an example of how a mirror can reflect an image, simply visit the nearby restroom. The images of a plane mirror are identical to the object in terms of size, location, and orientation (they are "upright").
Take note of how the observer perceives the reflected rays as coming from the mirror's reflection. These rays actually originate from the reflection locations on the mirror. Because the image behind the mirror cannot be projected onto a screen and instead only appears to come from a single location behind the mirror, it is known as a virtual image.
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if the mass of the child and sled is 38 kg , what is the magnitude of the average force you need to apply to stop the sled? use the concepts of impulse and momentum.
The magnitude of the average force is 101.33N.
Here we have to find the magnitude of the average force.
The given data:
Initial velocity(u) = 1.6m/s
Mass of the child and sled = 38 kg
Time taken = 0.60s
Formula to find the impulse:
Impulse = change in momentum
We have final velocity (v) = 0
Ft = m(v - u)
F = m(v-u)/t
F = -38 × 1.6/ 0.6
= -101.33N
Therefore we get an average force is 101.33N.
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an ideal solenoid has an inductance of 6.8 mh. to generate an emf of 2.6 v, what should the current should change at a rate of? answer in amps/second.
An ideal solenoid has an inductance of 6.8 mh. to generate an EMF of 2.6 v, The current should change at a rate of 2.62 * [tex]10^{-3}[/tex] A / second
induced EMF in a solenoid = -L * (di/dt)
∈ = -L * (di/dt)
di/dt = - L / ∈
= - 6.8 * [tex]10^{-3}[/tex] / 2.6
= - 2.62 * [tex]10^{-3}[/tex] A / second
The current should change at a rate of 2.62 * [tex]10^{-3}[/tex] A / second
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the apparent brightness of our sun is roughly 1000 watts per square meter. at a distance of 30 times the earth-sun distance, the apparent brightness of our sun would be
The apparent brightness of our sun would be 1.11 .
The obvious brightness of a star relies upon how a ways away it's far. a celebrity that is two times as far away seems four instances fainter. greater normally, the luminosity, obvious flux, and distance are associated through the equation f = L/four`pi'd2.
Calculation:-
Brightness = 1000 watts /m²
distance = 30 times earth
Therefore, The apparent brightness of our sun would be = 1000/(30)²
= 1.11
The obvious Brightness (B) of a supply is inversely proportional to the rectangular of its distance (d): Implications: For a mild source of a given Luminosity, it's going to seem 2²=4 instances brighter.
The luminosity of the mild bulb, and the space from the bulb to the display screen. here the denominator is just the region of a sphere of radius D. All that this method says is that brightness is the luminosity divided by the vicinity that is illuminated.
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After careful analysis, an electromagnetic wave is found to have a frequency of 7. 8 x 106 hz. What is the speed of the wave?.
Answer:
below
Explanation:
Electromagnetic waves travel at the speed of light 3 x 10^8 m/s
a prize wheel is spinning in a vertical circle at 2.0 rad/s when an acceleration is applied to the wheel to increase the velocity to 6.0 rad/s. how long did this acceleration last if the displacement during this time was 5.0 rad.
The acceleration of wheel will last for 1.25 sec.
What is angular acceleration?Angular acceleration refers to as change of angular velocity per unit of time. It is usually expressed in radians/sec². The direction of the acceleration vector is perpendicular to the plane in which the rotation occurs. As the angular velocity(ω) increases clockwise, the angular acceleration rate moves away from the observer. If the angular velocity increase is counterclockwise, the angular acceleration vector points in the direction of the viewer. In SI units, angular acceleration is measured in radians per second (rad/s²) and is commonly expressed as alpha (α).
For the given case,
Using equation of motion:
ω₂² = ω₁² + 2αθ
6² = 2² + 2 × α × 5
36 = 4 + 10α
10α = 32
α = 3.2 m/s²
Acceleration:
α = (ω₂ - ω₁)/t
t = (ω₂ - ω₁)/α
t = (6 - 2)/3.2
t = 1.25 sec
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Jack is trying out a new skateboard that he got for his birthday. He puts one foot on the skateboard and the other foot on the ramp. He notices that when he pushes off of the ramp with his foot, his body and the skateboard move forward up the ramp. He wants to investigate this phenomenon to answer the question: What causes this motion? He determines that he needs to figure out which force pair is involved with the motion he experiences.
a(n) is a device, or group of devices, or other means by which the conductors of a circuit can be disconnected from their source of supply.
A disconnecting means is a device, or group of devices, or other means by which the conductors of a circuit can be disconnected from their source of supply.
This is the definition given to disconnecting means by NEC. NEC stands for National Electrical Code. It is a standard to safe installation of electrical wiring and electrical equipment. It is created to provide safety for people from electrical hazards.
A switch is an example of disconnecting means. A disconnecting means isolates the service panel from the source of utility power. The main circuit breaker on a service panel is another form of disconnecting means.
Therefore, a disconnecting means is a device, or group of devices, or other means by which the conductors of a circuit can be disconnected from their source of supply.
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5.1 box is being being dragged to right 32.59 N force accelerating 3.0 m/s ^2 how strong is force of friction acting on the box
The force of friction acting on the box is 17.29 N.
What is force of friction?
The force of friction is a type of force that tries to stop an object in motion or tries to resist an object from moving.
The magnitude of the force of friction is determined by applying Newton's second law of motion as shown below;
F - Ff = ma
where;
Ff is the force of friction = ?F is the applied force on the box = 32.59 Nm is the mass of the box = 5.1 kga is the acceleration of the box = 3 m/s²Ff = F - ma
Ff = 32.59 - (5.1 x 3)
Ff = 17.29 N
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Block A has a mass of 10 kg and block B has a mass of
6 kg. They are connected by a rope and pulley system as
shown in the diagram on the right.
What must the coefficient of static friction be
between block A and the table for neither block to
move?
Acceleration will be zero when there is no movement. The coefficient of static friction is 0.6
What is Friction ?Friction is a force that opposes motion. It is static in a stationary object while dynamic in a moving object.
Given that Block A has a mass of 10 kg and block B has a mass of
6 kg. They are connected by a rope and pulley system as shown in the diagram in the question. Since both blocks are not moving, acceleration a = 0
The weight W on block B = mg
W = 6 × 9.8
W = 58.8 N
This weight will be equal to the tension T pulling block A. That is,
T = μN = W
Where the normal force N on block A = mg
N = 10 × 9.8
N = 98 N
Substitute N and T to find the coefficient of static friction μ
58.8 = 98μ
μ = 58.8/98
μ = 0.6
Therefore, 0.6 must be the coefficient of static friction between block A and the table for neither block to move
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the am radio band in a particular area has a frequency range of 517 khz to 1612 khz. how long is the wavelength of the radiation at the beginning of the range? answer in units of m.
The wavelength of the radiation at the beginning of the range is 5.8 × 10² - 1.86 × 10² meter.
A wave is a non-stop and repeating disturbance of a medium and a pulse is an unmarried disturbance.
Calculation:-
c=λ⋅f
λ= c/f
= 3 × 10⁸ / 517 × 1000
= 5.8 × 10²
λ= c/f
= 3 × 10⁸ / 1612 × 1000
= 1.86 × 10²
Therefore, wavelength range = 5.8 × 10² - 1.86 × 10² meter.
A wave is a propagating dynamic disturbance of one or greater portions. Waves can be periodic, in which case those quantities oscillate repeatedly about an equilibrium cost at some frequency. wave, propagation of disturbances from place to vicinity in a regular and prepared way. maximum familiar are floor waves that journey on water, but sound, light, and the motion of subatomic particles all showcase wavelike houses.
A wave is a disturbance in a medium that contains strength without an internet motion of particles. it is able to take the form of elastic deformation, a variation of stress, electric or magnetic intensity, electric-powered potential, or temperature.
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a 4.0 m radius circular platform accelerates from rest at 10.0 rad/s2. what is the linear displacement of the edge of the circular platform after 2.0 s?
A 4.0 m radius circular platform accelerates from rest at 10.0 rad/s2. The linear displacement of the edge of the circular platform after 2.0 s will be 80 m .
theta = omega * t + 1/2 * alpha * [tex]t^{2}[/tex]
omega = angular velocity
alpha = angular acceleration
using equation
theta = omega * t + 1/2 * alpha * [tex]t^{2}[/tex]
= 0 + 1/2 * 10 * 4 = 20 rad
linear displacement = radius * theta
= 4 * 20 = 80 m
A 4.0 m radius circular platform accelerates from rest at 10.0 rad/s2. The linear displacement of the edge of the circular platform after 2.0 s will be 80 m .
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To generate lightning, a cloud must have a ____ charge in the top half of the cloud and a _____ charge in the bottom half of the cloud.
To generate lightning, a cloud must have a Positive charge in the top half of the cloud and a Negative charge in the bottom half of the cloud.
A cloud is a collection of ice or water vapour floating in the atmosphere. When water in the sky condenses, clouds are created. We can observe the water vapour thanks to the condensation. Clouds come in a wide variety of forms. The weather and environment of Earth depend heavily on clouds.
A wide range of use cases, including data backup, disaster recovery, email, virtual desktops, software development and testing, big data analytics, and customer-facing web apps, are being used by businesses of every size, type, and sector.
Because the information being accessed is located remotely in the cloud or another virtual environment, cloud computing has earned its moniker. Users who use cloud services from companies can store and then access data and programmes on distant servers.
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when a solid object is completely submerged in ethyl alcohol, its apparent weight is 18.2 n and when completely submerged in water, its apparent weight is 14.8 n. determine the volume of the object. use 790 kg/m3 as the density of the ethyl alcohol and 1000 kg/m3 as the density of water.
A Solid object is completely submerged in ethyl alcohol and water. Its apparent weight is 18.2 N and 14.8 N respectively. The volume of the object is 1652 cm³
This problem can be solved using the Archimedes principle, that is the upward buoyant force on an object that is immersed in a fluid is equal to the weight of the displaced fluid, or, mathematically:
F = -ρgV
Where:
ρ = fluid density
g = gravitational acceleration = 9.8 m/s²
V = volume of the displaced fluid
In the given problem, let:
F1 = upward buoyant force in ethyl alcohol
F2 = upward buoyant force in water
The apparent weight is equal to the weight - buoyant force.
In ethyl alcohol:
w + F1 = 18.2
w - 790 x gV = 18.2 (Equation 1)
In water:
w + F2 = 14.8
w - 1000 x gV = 14.8 (Equation 2)
Substract equation 2 from equation 1
w - 790 x gV = 18.2
w - 1000 x gV = 14.8 _
210 x gV = 3.4
V = 3.4 / (9.8 x 210) = 0.001652 m³
= 1652 cm³
Hence, the volume of the object is 1652 cm³
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7) A net force of 6. 6 N acts on 9. 0 kg hamster. If this
object accelerates from rest to 3. 0 m/s west
>a) How far did the hamster travel?
The distance of the object is 12.27m
We are given that,
The net force = F = 6.6N
The mass = m = 9.0kg
The velocity of the object = v = 3.0m/s
Therefore , the hamster is travelled distance ,that can be calculated by Newton's second law of motion,
F = ma
F = (mv²)/r
r = (mv²)/F
Putting the above values in the given equation,
r = (9.0kg)(3.0m/s)²/6.6N
r = 12.27m
Therefore, the hamster travelled 12.27m.
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which of the wavelengths most likely corresponds to the wavelength of the most intense line in xenon's emission spectrum?\
The wavelength that most closely matches the wavelength of the strongest line in the emission spectra of xenon is 492 nm.
The correct option is D.
What emission range does xenon have?A contained inductively linked plasma discharge running at atmospheric pressure and 350 W is said to have produced pristine xenon, krypton, and neon emission spectra spanning the spectral range of 200 to 900 nm.
What is the function of wavelength?wavelength: The separation between a wave's peaks or troughs in a series. It is moreover one of the "yardsticks" for radium measurement.
What is the name of wavelength?The light source is the distance between its two crests or troughs, much like the wavelength of a light wave. It is named that used the Greek letter lambda. The distance between the crest or dip of one wave and the succeeding wave is therefore referred to as the wavelength.
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Complete question is:
Which of the wavelengths most likely corresponds to the wavelength of the most intense line in xenon's emission spectrum?
404 nm.
656 nm.
597 nm.
492 nm.
How high up is a 5 kg object that has 400 joules
of Energy?
(Round to two decimal places)
Answer:
8.15 m
Explanation:
Potential Energy = m g h
400 = 5 * 9.81 * h
h = 8.15 m
as they reach an intersection, you realize you are in the straight lane and you intended to make a left turn. what should you do
You should turn left and must yield to oncoming vehicles going straight.
Left turns must give way to oncoming traffic. A four-way stop allows the first driver to reach the intersection ahead of the other drivers after coming to a complete stop. Drivers entering the driveway from a driveway alley or curb must yield to vehicles already on the main road.
Gradually decelerate while looking in the rearview mirror. Transfer to the left lane. Watch out for oncoming vehicles and pedestrians. A green light means GO but you must let any remaining vehicles bicycles, or pedestrians at the intersection pass before you can proceed. You can turn left only if there is enough room for oncoming traffic bicyclists or pedestrians to turn before it becomes dangerous.
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How long does it take to raise a drawbridge?.
The drawbridge takes 18.33 mins to rise.
Given,
Let us assume that the total height of the bridge is h units.
The bridge takes 11/2 minutes to raise a height of 6h/20.
From hidden trial method we can say that;
If the drawbridge rise 6h/20 units in 11/2 minutes
Then, drawbridge rises 1 unit in the time = (11/2)/(6h/20)
So, the drawbridge rises h units in the time = (11h/2)/(6h/20)
= [tex]\frac{11h}{2}[/tex]×[tex]\frac{20}{6h}[/tex]
= 220/12
= 18.33 minutes
Hence, it takes 18.33 mins to raise the drawbridge.
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A drawbridge rises at a constant rate. It takes 1 1/2 minutes for the drawbridge to rise 6/20 of its total height. How long does it take to raise a drawbridge?
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the value of the resistance in a conductor is decided by what factors? group of answer choices cross sectional area material length
The connection (R=Al) states that the resistance of a conductor depends on its resistivity, length, and cross-sectional area.
The connection (R=Al) states that the resistance of a conductor depends on its resistivity, length, and cross-sectional area. Other physical elements like temperature and others do affect it. Ohm () is its SI unit.The degree to which an object obstructs or resists an electric current is referred to as resistance. The movement of electrons is referred to as electric current. Consider the scenario of a person navigating a busy market and encountering difficulty moving from one shop to another to better understand resistance.
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A satellite revolves around a planet at an altitude equal to the radius of the planet. The force of gravitational interaction between the satellite and the planet is f0. Then the satellite is brought back to the surface of the planet. Find the new force of gravitational interaction f4.
A Satellite revolves around the plant at altitude equal to R , radius of planet . The relationship between new gravitational force (f₄) and gravitational force f₀ is f₄ = 4 f₀.
.
Gravity is the force that attracts any two objects that have mass. Gravity is called gravitational force because it always tries to pull mass together and never push it away. In fact, every object, including you, is pulling on every other object throughout the universe! This is called Newton's law of universal gravitation. It is very noticeable in celestial bodies with huge masses such as the Sun, Earth, and Moon. This is because the force is proportional to the mass of the object. It is responsible for the movement of the planets around the sun and the moon around the earth. People also exert forces on each other, but due to their relatively small mass this is not very important . It is noted by G and mathematically ,
Gravitational force= Gm₁×m₂ /d²
where m₁ and m₂ are masses of two objects and d ----> distance between the centres of two objects and G is gravitational constant.
In question we one body is planet and other will be satellite.
Let us consider
M ----> Mass of plant
m------> mass of satellite
R ---> radius of planet
In first case, when satelite at a distance say altitude is equal to radius of planet (R) and the distance between the centres of two masses is 2R. Gravitational force between them is
(f₀ ) = GMm / (2R)²= GMm/ 4R² ---(1)
where, G---> gravitational constant
In second case, the satalite is on surface of a planet and distance between two masses is R.
New gravitational force between two bodies is
f₄ = GMm/ R²-----(2)
comparing (1) and (2) we get,
f₀ = f₄/4 => f₄ = f₀
Hence, the relationship between new gravitational force (f₄) and and gravitational force (f₀) is f₄= 4f₀.
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a new planet has 1/2 density of earth but 3 times the radius of earth. what is the approximate g-field strength of the new planet
6g is gravitational -field strength of the new planet
The acceleration due to gravity on earth's surface is
g=GM/R^2
g=GρV/R^2
, G= the gravitational constant,
M =mass of earth,
R =radius of earth,
ρ=the density and
V = the volume of earth.
V=4/3×π×R^3
Putting this value
g∝ρ/R
g′/g=R/2×3R
g′=6g
The gravitational field has direction, much as other electromagnetic fields like the electric and magnetic fields. It is a vector field as a result. The gravitational field strength, which has the unit Newtons per kilogram, is used to measure the gravitational field. This field force has a limitless range and is constantly attracting.
The electromagnetic field, or the electric and magnetic fields for charged particles and magnets, is comparable to the gravitational field. Since electromagnetic field forces are stronger than gravitational field forces, they take precedence over them.
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a spherical, convex mirror has a radius of curvature of 0.123 m. what is the focal length of the mirror? (in m; answer sign and magnitude)?
To find the spherical convex mirror radius, learn the focal length and magnitude.
What is focal length?
The focal length of a thin lens in air is measured from the lens's center to its primary foci, also known as focal points. The focal length of a converging lens, such as a convex lens, is positive and determines how far a collimated light beam must travel to focus on a single point.
What is magnitude?
Magnitude typically refers to size or distance. By comparing the size and motion speed of the object, we can relate magnitude to movement. The object's or quantity's size determines its magnitude.
R=0.123m
Focal length E= R/2
E= - 0.0615m.
Therefore, the focal length is 0.0615m.
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A block of gold (density 19300 kg/m3), a block of concrete (density 2000 kg/m3), and a block of ice (density 920 kg/m3) are all submerged in the same fluid where all three blocks have the same volume. Which block experiences the greatest buoyant force?.
All three experience the same uboyant force.
What is buoyant force?
Upthrust, often known as buoyancy, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. The weight of the fluid on top causes pressure in a fluid column to rise with depth.
All three objects experience the same buoyant force because their volumes are equal the buoyant force on an object in a liquid depends on the volume of the submerged object, the density of the liquid, and the acceleration caused by gravity but not on the density of the object.
Hence, all will experience the same buoyant force.
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two wires have the same diameter and same resistance. if one is made of copper, and the other is of silver, which wire is longer?
The silver wire will be longer than the copper wire as the silver has the high expandability than the copper and not just that the silver is very good conductor for electricity but we use copper for wires cause of there cheap availability.
what is resistance?
The amount that an object impedes or resists in an electric current is referred to as resistance. Electric current is the flow of electrons. Consider an example of a person attempting to move from one shop to another in a busy market. This condition is eerily similar to an electron attempting to pass through a wire.
Resistance is the property of materials that allows electric current to flow. Resistance unquestionably resists the passage of current. Furthermore, the unit of resistance is ohms, which is symbolised by the Greek capital letter omega. Furthermore, resistance is affected by the voltage across a resistor as well as the current running through it. Resistance is a measure of the resistance to current flow in an electrical circuit.
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A baseball with a mass of 0. 145 kilograms collides with a bat at a velocity of 44 meters/second. The ball bounces off the bat with a speed of 49 meters/second in the opposite direction. What is the impulse?.
The impulse is 13.5 newton∙seconds.
Calcultaion:-
for the reason that ball bounced off opposite to its unique path preliminary velocity and final velocity can have opposite signs and symptoms. And as a result we've the:
Δp = zero.145(forty nine -- forty four) = zero.145(93) = 13.485
Rounding the values off to a few massive figures, we have Δp = 13.5N·s.
Forces are weight drag and raise. elevate and drag are truly additives of a single aerodynamic force performing at the ball. in some unspecified time in the future of the 0.7 millisecond touch time amongst bat and ball collision, a median stress of about 2 heaps is applied, with a maximum force of about four masses. it is a selection of electricity.
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Idil’s momentum is 110 kg-m/sec when she walks at 2 m/sec. What’s her mass?
Answer:
Explanation:
Given:
p = 110 kg·m/s
V = 2 m/s
___________
M - ?
Momentum
p = M·V
Mass
M = p / V = 110 / 2 = 55 kg
About how much greater is the gravitational force exerted by the moon on the near side of the earth than on the far side?.
The moon exert 7% more gravitational fore on the near side of the earth than the far side of the earth.
Any two objects in the universe are drawn together by gravitational attraction, regardless of whether their masses are equal or not. Additionally, according to Newton's Universal Law of Gravitation, everything in the universe, including you, is pulled toward everything else. The unit of gravitational force is a Newton, represented by the letter N.
A fundamental interaction in physics that creates mutual attraction between all entities with mass or energy is called gravity (from the Latin gravitas, "weight"). The electromagnetic force, the strong interaction, and the weak interaction are all significantly stronger than gravity, which is by far the weakest of the four fundamental interactions.
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Zoe knows that the food she eats has a lot of empty calories, so she takes supplements. Her parents keep trying to get her to eat more vegetables
and other nutrient-rich foods. But Zoe tells them as long as she is getting nutrients, it does not matter how she gets them. What is the BEST
response to Zoe?
OA. It is better to get the nutrients from food than supplements.
OB. If she feels fine, then she is probably getting enough nutrition.
OC. If she is taking supplements, her diet will not impact her health.
OD. She should take the supplements before she eats her vegetables.
Answer:
OA.
Explanation:
its better for zoe to get it from vegetables because supplements aren't intended to replace food. They can't replicate all of the nutrients and benefits of whole foods, such as fruits and vegetables.
