This statement is accurate because it is strongly encouraged that those with unhealthy lifestyle choices or known heritable diseases undergo a medical examination before beginning an exercise regimen.
What is Chronic diseases ?Chd, type two diabetes, and other infectious conditions can all be prevented, delayed, and managed with a nutritious diet. Lean protein, whole grains, a variety of fruits and vegetables, low-fat dairy products, and a diet low in sweeteners, animal fats, and sodium make up a balanced, healthy diet.
Your overall health, physical fitness, and life experience can all benefit from regular physical activity. Your risk of developing chronic illnesses like type two diabetes, heart attacks, numerous cancers, anxiety and depression, and brain is also decreased.
What is the best strategy to manage a chronic illness?How can a chronic condition improve my quality of life.
consuming a balanced diet.
Performing as much exercise as you can.
avoiding harmful coping strategies like drinking and drug abuse.
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Identify the type of indirect evidence scientists investigate to learn what local climates were like in the distant PAST.
A.
current weather data
B.
tree rings
C.
current rainfall
D.
wind patterns
B. tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.
What are the GCSE examples of climate change evidence?The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.
What sort of indirect evidence is that?Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.
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tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.
What are the GCSE examples of climate change evidence?The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.
What sort of indirect evidence is that?Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.
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Superman hits a stationary golf ball. The club and
ball are in contact for 0.01 seconds. Afterward, the
ball has momentum with a magnitude of 10 kg-m/s.
What was the average collision force?
It strikes the wall normally with a velocity of v₁ = 30 m/s and rebounds with a velocity of v₂ = -20 m/s. We know that impulse is equal to the change in momentum. So, So, the impulse of the force exerted by the wall on the ball is 5 kg m/s.
a)x²+x+1=0
x=b±√b²-4ac/2a
x=-1±√-3/2=-1±√3i/2
b) z=-1/2+i√3/2
x=-1/2 y=√3/2 lies
r=√x²+y²=√1/4+3/4-1
sin∅=√3/2 cos∅=-1/2
tan∅=√-3
since Z lies in Q 2nd arg(Z)=π-∅
∅=π-π/3=2π/3
Z=r(cos∅+isin∅)
=1(cos 2π/3+isin2π/3)
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2 evidences of rectilinear propagation off light
Radiation is spontaneously emitted from hydrogen-3 nuclei, but radiation is not spontaneously emitted from hydrogen-1 nuclei or hydrogen-2 nuclei. Which hydrogen nuclei are stable?.
Nuclei of H1 and nuclei of H2 are the only stable nuclei oh hydrogen.
Hydrogen is the first and most basic of all elements in the universe.
It is also the lightest element in the periodic table and 90% of all atoms in the universe are hydrogen atoms.It is represented by the symbol 'H'Radiation is spontaneously emitted from nuclei of H3 because this isotope of hydrogen is highly radioactive as compared to other isotopes of hydrogen namely; nuclei of H1 and nuclei of H2.
The nucleus of H3 also called as tritium contains one proton and two neutrons, while the nucleus of the common isotope H-1 (protium) contains one proton and zero neutrons, and the nucleus of H-2 (deuterium) contains one proton and one neutron.
Therefore H1 and H2 have much stable nucleus as compared to nuclei of H3.
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Anthony walk to the pizza place for lunch. He walk 1 km eat then 2 km outh and then 1 km eat again. What ditance did he cover and what wa hi diplacement
Answer:
Explanation:
3km
In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius 0. 053 nm around a stationary proton.
The orbital speed of the electron using the equation is 5.41 x 10^7 m/s.
What is orbital speed?Orbital speed is the speed of an object in orbit around a larger body, such as a planet or star. The speed of an object in orbit is determined by two factors: the mass of the central body and the distance of the object from the central body. If a body is more massive, the object in orbit must move faster to maintain its orbit. Similarly, if an object is closer to the central body, it must move faster to remain in orbit. Orbital speed is usually measured in kilometers per second (km/s). The orbital speed of Earth’s Moon, for example, is 1.022 km/s. Orbital speed is an important factor in space exploration, as spacecraft must achieve certain speeds to reach distant destinations.
The orbital speed of the electron can be calculated using the equation:
V = (2πr)/T
where r is the radius of the orbit, and T is the orbital period.
Assuming the orbital period is 2.2 x 10^-17 s, the orbital speed of the electron is:
V = (2π x 0.053 x 10^-9 m)/(2.2 x 10^-17 s) = 5.41 x 10^7 m/s
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Please answer by 8 pm!!! Thank you so much!
VT 101.00 V, T = ?, R₁ = ?
V₁?, I₁=?, R₁= ?
V₂= 33.00 V, 12= ?,
R₂= ?
V3- 37.00 V, 13= ?,
R3= 12.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the voltage drop at (V₁) which is the voltage drop at resistor one?
Answer:
To solve for the voltage drop at V₁, we can use Ohm's law, which states that the voltage drop across a resistor (V) is equal to the current (I) flowing through it multiplied by the resistance (R) of the resistor.
V = I * R
The information given in the question is as follows:
VT = 101.00 V
T = Unknown
R₁ = Unknown
V₁= Unknown
I₁=Unknown
R₂= Unknown
V₂= 33.00 V
I₂ = 12.00 Amperes
R₂ = Unknown
V₃ = 37.00 V
I₃ = 13.00 Amperes
R₃ = 12.00 Ohms
The first step is to calculate the current flowing through the circuit by using the formula Power= Voltage * Current
P = VT
I = P/VT = 101/101 = 1 Amperes
Now we can use Ohm's Law to find the voltage drop across R1:
V₁ = I * R₁ = 1 * R₁
To find the resistance of R1, we can use the formula:
T = V₁ + V₂ + V₃
R₁ = (T - V₂ - V₃) / I
Substituting the values,
101 = V₁ + 33 + 37
V₁ = (101 - 33 - 37) = 31 Volts
So, the voltage drop at V₁, which is the voltage drop at resistor one, is 31 Volts.
Explanation:
What do scientists use to divide the geologic time scale?
Major changes in mineral deposits in the rock layers
Evidence for catastrophic events in Earth's history
Major divisions in the fossil records
Major divisions in the sedimentary rock layers
The thing that scientists use to divide the geologic time scale is option C: Major divisions in the fossil records
What is the fossil records about?Fossils are the remains or traces of ancient organisms that have been preserved in rock layers. Scientists study fossils to learn about the history of life on Earth, and the different types of fossils found in different rock layers can provide information about the different time periods in which those organisms lived.
Other methods, such as major changes in mineral deposits in the rock layers, evidence for catastrophic events in Earth's history, and major divisions in the sedimentary rock layers, can also provide information about different time periods, but the use of fossils is the main method for dividing the geologic time scale.
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A cockroach and a spider are walking on the sands at a desert. Assume that both have the same weight and same sized legs. Which one would leave a deeper footprint on the sand? Why?
Answer:
cockroach
Explanation:
Because cockroach have only six legs and the surface area would be 6x (where x is size of foot) but in case of a spider who have 8 legs the area would be 8x since, 8x>6x the cockroach will leave deeper footprints
Please label whether the
acceleration is positive, zero, or
negative:
A-B:
B-C:
C-D
Answer:
A-B: positive
B-C: zero
C-D: negative
Explanation:
In a velocity-time graph, acceleration is shown by the slope or steepness of the graph. A positive acceleration means that the line of the slope is upward, while a negative acceleration means that the line of the slope is downwards.
A horizontal line shows that the acceleration is 0, which means that the object is stationary.
A cat knocks a 0.01kg toy mouse across the floor. If it travels 5m and the cat does 7J of work, how much force did the cat exert on the mouse?
1.4N
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W = Fd
7J = F * 5m
The force exerted by the cat on the toy mouse is 1.4N
The amount of work done is 7J
The displacement experienced by the object is 5m
We know that work done (W) = Force (F) × Displacement (D)
W= F×D
7= F×5
Therefore, F=7/5
F= 1.4N
Therefore, the force exerted on the object is 1.4N
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Calculate the number of atoms in a \pu{67. 5 mg}67. 5 mg67, point, 5, space, m, g sample of \ce{sr}srs, r.
1. Convert the mass of \pu{67.5 mg}67.5 mg67, point, 5, space, m, g to grams: 67.5 mg = 0.0675 g
2. Calculate the molar mass of \ce{sr}srs, r:Molar mass of \ce{sr}srs, r = 87.62 g/mol
What is molar mass?Molar mass is a measure of the amount of mass contained in one mole of a given substance. It is expressed in grams per mole (g/mol) and is numerically equal to the atomic or molecular weight of the substance. The molar mass of a substance is calculated by adding together the atomic masses.
3. Calculate the number of moles:
n = m/M = 0.0675 g/87.62 g/mol = 0.0007704 mol
4. Calculate the number of atoms:
Number of atoms = n x Avogadro's number
= 0.0007704 x 6.022 x 10^23
= 4.24 x 10^20 atoms
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What is HEV configuration?
HEV (Hybrid Electric Vehicle) configuration is a type of vehicle powertrain that combines a traditional internal combustion engine (ICE) with an electric motor.
HEV technology uses a battery to store electricity generated from the ICE, which is then used to power the electric motor when needed.
This can result in improved fuel efficiency and reduced emissions compared to conventional ICE vehicles.
Additionally, HEV configurations can often provide enhanced performance due to the combination of ICE and electric power.
HEV (Hybrid Electric Vehicle) configuration is a technology that combines a conventional internal combustion engine with an electric motor. This hybrid system is designed to provide improved fuel efficiency and reduce emissions.
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A 415 kg container of food and water is dropped from an airplane at an altitude of 300 m.
If you disregard air resistance and assume that the object is falling freely, it will take 7.82 seconds for the container to descend 300 meters to the earth.
Describe free fall.Free fall is any motion of an item in which gravity has been the only force applied on it.
The thing that was dropped from the plane is falling freely.
The only force operating on the container, which accelerates it by a consistent amount regardless of air resistance, is gravity.
The formula for calculating the amount of time it will take an item to reach the floor when it is in free fall is as follows:
s = ut + ¹/₂gt²
where
h is the height above the ground = 300 m
Since the container starts at rest, its initial vertical velocity, u, is equal to zero.
g is the acceleration of gravity = 9.8 m/s²
t is the time = ?
The equation above becomes;
h = ¹/₂gt² since u is zero
Solving the equation for t:
t = √2h/g
t = √2 * 300 / 9.8
t = 7.82 seconds.
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The Complete question is:
A 415-kg container of food and water is dropped from an airplane at an altitude of 300m. First, consider the situation ignoring air resistance. Then calculate the more realistic situation involving a drag force provided by a parachute.
1. If you ignore air resistance, how long will it take the container to fall 300m to the ground?
helpp!! Which of the following statements about the independent variable are correct?
a.The independent variable is mentioned in the hypothesis.
b.Scientists adjust the dependent variable to see its impact in the independent variable.
c.The independent variable is manipulated by the scientist.
d.The independent variable is held constant during an experiment.
e.A hypothesis predicts a relationship between the independent and dependent variable.
The statements about the independent variable that are correct are:
The independent variable is mentioned in the hypothesis.The independent variable is manipulated by the scientist.A hypothesis predicts a relationship between the independent and dependent variables.The correct option are A, C, and E.
What are independent and dependent variables?A variable that is independent is precisely what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to assess. Age, for instance, could be an independent variable.
The dependent variable is the variable that is being measured in an experiment
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4. Which of the following statements is not accurate regarding identifying factors on the health pyramid?
O All three sides of the health triangle affect each other.
Personal actions are categorized on the health pyramid by the intended purpose of the initial actions.
O Physical health is the base of the triangle and is the most important part of the health triangle.
O Working out a gym would be categorized in the physical health category.
Physical health is the base of the triangle and is the most important part of the health triangle.
How does a food pyramid help individuals eat a healthy diet?A fantastic method to show what foods go into a healthy diet is to translate nutritional advice into a vibrant pyramid. The design quickly conveys the idea that some foods are healthy and should be consumed frequently, while others are less healthy and should only be consumed sometimes. Protein, not fat, is a factor in regulating the evolution of genetic traits. Additionally, fat aids in the absorption of vitamins A, D, E, and K. Fat serves as the body's main energy reserve and is essential for functions like digestion. For a healthy, balanced diet, the Food Pyramid outlines how much of your total intake should come from each shelf.To learn more about food pyramid refer to:
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Mr. And mrs. Ozawa are driving their family to a vacation spot 496496 miles away. They want to get there in 88 hours. What is the average speed they need to drive?.
The average speed they need to drive is around 5.64 miles per hour. The result is obtained by dividing the total distance by the total time taken.
What is average speed?Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as
Avg speed = Total distance covered / Total time taken
Mr. and Mrs Ozawa are driving 496 miles away. The time they want to get there is 88 hours.
Find the average speed they need to drive!
We have
The total distance = 496 miles.The time taken = 88 hours.We would get
Avg speed = Total distance covered / Total time taken
Avg speed = 496 miles / 88 hours
Avg speed = 5.64 miles per hour
Hence, they need to drive with the average speed at around 5.64 mph.
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A student adds ice to several samples of water. The results are shown in the table. Which conclusion can be drawn from the results?
I added the question below
I need the answer fast.
The conclusion of the experimental result is as the amount of the ice added increases, the change in temperature increases.
option C.
What is the conclusion of the result?
The conclusion of the experimental result can be obtained as follows;
The change in the temperature for the mass of ice of 59.9 g is calculated as;
Δθ = 16 - 20.2
Δθ = - 4.2 ⁰C
The change in the temperature for the mass of ice of 60 g is calculated as;
Δθ = 44.2 - 48.1
Δθ = - 3.9 ⁰C
The change in the temperature for the mass of ice of 71.1 g is calculated as;
Δθ = 1 - 6.1
Δθ = - 5.1 ⁰C.
The change in the temperature for the mass of ice of 122.6 g is calculated as;
Δθ = 3.3 - 14.6
Δθ = - 11.3 ⁰C
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We have two stacks of styrofoam cups. One stack has 6 cups, and its height is 15 cm. The other one has 12 cups, and its height is 23 cm. How many cups are needed for a stack with a height of 50 cm?.
The averages of stacks one and two differ, there isn't a direct relationship between the number of cups and the stack's height.
By average, what do you mean?The average is calculated by taking the total number of values in a given set and dividing it by the sum of all the values. The average of a group of values in a sample of data is what is referred to as a mean. The arithmetic mean is another name for an average, in other words. The term "mean" describes the average.
Given in the question,
total number of stacks = 2
Stack 1 has 6 cups of height, h1 = 15cm
Stack 2 has 12 cups of height h2 = 23cm
calculating the average: h1 - h2/ n1 - n2
= 15-23/6-12
= - 8/-6
=4/3
With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:
50 / (4/3) = 50 × 3/4
= 150/4
= 37.5
Because the averages of stacks one and two differ, there isn't a direct relationship between the number of cups and the stack's height.
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How much force is needed to accelerate a 9,760 kg airplane at a rate of 4.2 m/s2?
A.
11,386 N
B.
40,992 N
C.
147,571 N
D.
2,324 N
The amount of force that is needed to accelerate the airplane is 40,992 N.
option B is the correct answer.
How much force is needed to accelerate the airplane?The amount of force that is needed to accelerate the airplane is calculated by applying Newton's second law of motion as follows;
Mathematically, the formula for Newton's second law of motion is given as;
F = ma
where;
a is the acceleration of the airplanem is the mass of the airplaneThe amount of force that is needed to accelerate the airplane is calculated as follows;
F = ( 9,760 kg ) x ( 4.2 m/s² )
F = 40,992 N
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A police car is heading towards you with its siren blaring. Explain what is
happening to the wavelength as the police car is moving towards you and what is
happening to the wavelength as the firetruck moves away from you.
The sound waves become louder and more frequent as a police car approaches a person on the street. This person notices the siren's pitch rising. The sound waves become less frequent as they spread apart and accelerate away from the police car.
What changes in wavelength do you notice when a siren is coming?Therefore, even though the siren emits waves with a constant frequency, as it gets closer to us, the observed frequency rises and we hear a higher pitch. The observed frequency and pitch decrease as it moves away after passing us.
When the police car approaches, what frequency will you hear?A police car's siren has a pure tone and operates at a frequency of 1125 Hz.
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A boat attempts to cross a river going 12.0 mi/hr from the South bank travelling in a Northward direction. The river flows West at 5.0 mi/hr. What is the actual velocity of the boat? The answer should be in magnitude-direction form.
The actual velocity of the boat is 13.0 mi/hr at an angle 67.38° north-west respect to south bank.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
The actual velocity of the boat = √(12.0²+5.0²) mi/hr = 13.0 mi/hr.
The direction of the velocity of the boat w.r.t south bank = tan⁻¹(12/5) = 67.38⁰.
Hence, The actual velocity of the boat is 13.0 mi/hr at an angle 67.38° north-west respect to south bank.
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A savings account is opened with an initial deposit of $425. 0. Determine the account balance after 9 years if the account earns 2. 7% simple interest annually. $3,928. 28 $1,457. 75 $528. 28 $103. 28.
After 9 years, the account balance would be $528.28. The result is obtained by adding the amount of interest to the initial deposit.
How to count the simple interest?The simple interest of an amount of money can be counted by the following formula.
I = P × r × t
I = A - P
Where
I = simple interestP = principal amount (initial balance)r = simple interest ratet = time periodA = final balanceA savings account has the initial deposit of $425.00. It earns 2.7% simple interest per year. Find the final account balance after 9 years!
The amount of interest itself is
I = P × r × t
I = $425.00 × 2.7% per year × 9 years
I = $425.00 × 0.027 × 9
I = $103.28
The account balance after 9 years would be
I = A - P
$103.28 = A - $425.00
A = $425.00 + $103.28
A = $528.28
Hence, the final account balance after 9 years is $528.28.
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A car roll down the hill, accelerating at 2m/^2. How far doe it roll in 1. 5 econd ?
So the car rolls a distance of 2.25 meters in 1.5 seconds.
To find the distance the car rolls in 1.5 seconds, we need to use the equation:
Distance = Initial velocity x Time + (1/2) x Acceleration x (Time^2)
Since the initial velocity of the car is 0 (it's rolling down the hill and not moving initially), we can simplify the equation to:
Distance = (1/2) x Acceleration x (Time^2)
Plugging in the values we have:
Distance = (1/2) x 2m/s^2 x (1.5s)^2
Distance = (1/2) x 2 x 1.5^2
Distance = (1/2) x 2 x 2.25
Distance = 2.25m
So the car rolls a distance of 2.25 meters in 1.5 seconds.
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If you are initially driving at a peed of 30 km/h with a contant acceleration of 2. 0 m/2. Determine
how much time, in econd, it will take you to reach a peed of 60 km/h?
In 4.16 seconds, 60 km/h speed can be achieved if the initial speed is 30 km/h and the acceleration is 2.0 m/s².
Initial speed, u = 30 km/h
Final speed, v = 60 km/h
Constant acceleration, a = 2.0 m/s²
Converting the initial speed in m/sec = 30 × 5/18
u = 75/9 m/s
Converting the final speed in m/sec = 60 × 5/18
v = 150/9 m/s
By the first equation of motion, which is used to determine the final velocity of an object which has some constant acceleration.
v = u + at
t = (v-u)/a
t = [(150/9) - (75/9)]/2
t = 4.16 sec.
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Describe the magnetic field of a south-south pole arrangement.
When one south pole's magnetic field line comes close to another south pole, the second south pole's field lines will begin to bend away from the first south pole.
What configuration do magnetic poles have?A bar magnet suspended in the Earth's magnetic field will naturally point north and south. Any pole that pursues the north is referred to as a north magnetic pole, such as the north-seeking pole of this sort of magnet. The south-seeking pole or any pole that resembles it is a south magnetic pole.
What takes place at the magnet's south pole?Like poles repel one another whereas opposite poles are attracted to one another. Therefore, when the south pole of a magnet is brought close to the north pole of a magnetic needle that is suspended freely, it will attract. A. When the South pole of a magnet is brought close to the North pole of a magnetic needle that is suspended freely, they will both attract one another.
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Explain in detail the change in energy tore when a ball of dough i dropped onto a kitchen counter
Dropping a ball of dough onto a kitchen counter, its energy store of potential energy is converted into kinetic energy as it falls. Upon impact, the kinetic energy is converted into potential, thermal, and sound energy.
When a ball of dough is dropped onto a kitchen counter, there is a change in the energy store of the dough. Initially, the dough has potential energy due to its position above the counter. As the dough is dropped, this potential energy is converted into kinetic energy, or energy of motion. As the dough falls, it gains speed and thus increases in kinetic energy.
When the dough strikes the counter, the kinetic energy is converted into a combination of potential energy and thermal energy. The dough compresses and deforms upon impact, increasing its potential energy. The compression and deformation also generates heat, which increases the thermal energy of the dough. A portion of the kinetic energy is also converted into sound energy as the dough makes contact with the counter.
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Calculate the gravitational force between two people, 60 kg and 70 kg, respectively,
separated by 2.5 meters.
According to the question The Answer is F = 7.008 x 10^-8 N. Because every item in the cosmos that has mass pulls on every other object with a gravitational force, there is a gravitational force.
How to Calculate the gravitational force between two peopleThe gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity
The Newton's Law of Universal Gravitation According to Isaac Newton, the gravitational pull between any two objects is inversely proportional to the square of their separation (r) and is directly related to their respective masses (m 1 and m 2). The formula is
F g = G m 1 m 2/ r 2.
G is the universal gravitational constant in this equation.
G = 6.67 × 10 − 11 N ⋅ m 2 / k g 2 .
This is based on the assumption that two people are "standing" 2 meters apart in outer space, free from any other substantial gravitational forces.
F = Gm1m2/r^2
where r is the distance between the centers of mass.
G = 6.6743 × 10^-11 m^3•kg^-1•s^-2 (N•m^2•kg^-2)
m1 = 60 kg
m2 = 70 kg
r = 2 m
F = 6.6743 x 10^-11 N•m^2 kg^-2•(60•70) kg^2/ (2 m)^2
F = 7.008 x 10^-8 N
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A body falls freely from rest on Earth (g= - 10 m/s)
1. The displacement at t = 3 sis -45 m
2. The time for it to reach a speed of 25 m/s is I $
3. The time to fall 320 m is 8 s.
4. The speed after falling 80 m is m/s.
1. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values, we get d = -1/2 (-10 m/s) (3 s)^2 + 0 m/s (3 s) + 0 m = -45 m.
2. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). Plugging in the values and setting v = 25 m/s, we get 25 m/s = (-10 m/s)t + 0 m/s. Solving for t, we get t = 2.5 s.
3. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values and setting d = -320 m, we get -320 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 8 s.
4. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). To find the speed after falling 80 m, we need to find the time t that corresponds to this displacement. We can use the formula for displacement to find t: d = -1/2 gt^2 + vt + d0. Plugging in the values and setting d = -80 m, we get -80 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 2 s. Plugging this value of t back into the formula for speed, we get v = (-10 m/s) (2 s) + 0 m/s = -20 m/s.
5. The acceleration of an object is given by the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time elapsed. In this case, the initial velocity is -20 m/s and the time elapsed is 1 s. The final velocity is not given, so we cannot use this formula to find the acceleration.
6. The displacement of an object with constant acceleration is given by the formula d = 1/2 at^2 + vt + d0, where a is the acceleration, v is the initial velocity, t is the time elapsed, and d0 is the initial displacement. In this case, the acceleration is -10 m/s^2, the initial velocity is -20 m/s, the time elapsed is 4 s.
What is speed?
Speed is a measure of how fast an object is moving. It is defined as the distance an object travels per unit of time. In equation form, speed is represented by the letter v and is equal to the distance d traveled divided by the time elapsed t: v = d/t. The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h). For example, if a car travels a distance of 200 meters in 10 seconds, its speed is v = 200 m / 10 s = 20 m/s.
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