The astronaut's weight on the surface of Mars is 259 N
To solve this exercise, the formula and procedure to be applied is:
W = m * g
Where:
W = weightm = massg = gravityInformation about the problem:
g= 3.7 m/s2m = 70 kgW=?1 N = kg * m/s²Applying the weight formula, we get:
W = m * g
W = 70 kg * 3.7 m/s2
W = 259 N
What is gravity?In physics, gravity is the force of attraction that the earth exerts on all bodies possessing mass by pulling them toward its center.
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Find the momentum (in kg m/s) for a 1.6 kg brick parachuting straight downward at a constant speed of 9.9 m/s
the momentum can be calculated by the formula p= mv here m is mass of the brick and v is the velocity so momentum is 1.6kg X 9.9 m/s= 15.85 kg m/s
momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum. According to Newton's second law, if a constant force is applied to a particle for a specific amount of time, the result of the force and the time (the impulse) is equal to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.
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One kilogram equals 1000 grams. one milligram equals 0.001 grams. how many milligrams are in one kilogram?
By conversion unit, 1 kilogram is equal to 10⁶ milligrams or 1000000 milligrams.
We need to know about a conversion unit to solve this problem. Kilogram is the SI unit for length but there are other units which able to determine the length such as gram and milligram. The conversion unit of milligram to kilogram is
1 mg = 10¯⁶ kg
1 mg = 0.000001 kg
From the question above, we know that the question is converting 1 kg to 1 mg, Hence
1 mg = 10¯⁶ kg
multiply by 10⁶
1 kg = 10⁶ mg
or we can write
1kg = 1000000 mg
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A powerful motorcycle can accelerate from rest to 26.8 m/s (100 km/h) in only 3.90 s.
(a) what is its average acceleration?
(b) how far does it travel in that time?
The average acceleration is 6.87 m/s^2.
It travels up to 52.25m in that time.
Calculationa) The motorcycle is initially at rest. this means that the initial velocity is Zero.
The average acceleration is caused by the kinematic equation of motion in terms of velocity, acceleration and time.
V = u + at
So substituting all the values, we have,
26.8 = 0 + 3.90*a
⇒ a = 26.8/3.90
⇒ a = 6.87 m/s^2
Hence the Motorcycle has the average acceleration 6.87 m/s^2
b) The distance travelled by the motorcycle in the time 3.9s can be found be the kinematic equation of motion in terms of position with constant acceleration.
S = ut + 1/2 at^2
Substituting all the values,
x = 0*3.9 + 1/2[(6.87)(3.90)^2]
x = 1/2[(6.87)(3.90)^2]
⇒ x = 52.25m
Thus, the motorcycle can travel upto 52.25m in that time.
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During an adiabatic compression a volume of an air decrease to 1/4 th its original size calculate its final pressure if its original pressure was 1 atm
The final pressure is 6.96 atm.
We know that in an adiabatic process,
[tex]p_{1} V_{1} ^{gamma}[/tex] = [tex]p_{2} V_{2} ^{gamma}[/tex]
where,
p = Pressure
V = Volume
Gamma = Isentropic expansion factor
Given that,
[tex]p_{1}[/tex] = 1 atm
γ = 1.4 ( Assuming the air as an ideal gas )
[tex]V_{2}[/tex] = [tex]V_{1}[/tex] / 4
[tex]V_{1}[/tex] / [tex]V_{2}[/tex] = 4
[tex]p_{1} V_{1} ^{1.4}[/tex] = [tex]p_{2} V_{2} ^{1.4}[/tex]
[tex]p_{2}[/tex] = 1 * [tex]( 4 )^{1.4}[/tex] = 6.96 atm
An adiabatic process is a thermodynamic process without the involvement of heat. Usually it takes place in an insulated box.
Therefore, the final pressure is 6.96 atm
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The earth diamiter is about 3 and 2 thirds times the diamiter of the moon. what is the angular diamiter of the earth seen by an oveserver on the moon?
The angular diameter of the Earth from the surface of the Moon is, between a=1.80226° (at apogee and the Earth is near the horizon) and a=2.02452° (at perigee and for an observer at the equator and when the Earth is at maximum altitude on the meridian)
We calculate the angular diameter of the Earth using the equation:
a=arctanD/d
where a is the angular diameter, D is the physical diameter of the Earth, and d is the distance from the Moon to the Earth.
The equatorial radius of the Earth is rE=6378.1km, the diameter is therefore
D=2×rE=12756.2.
The mean distance to the Moon is d=384399km. This gives a (mean) angular diameter of a=1.90065°.
At Perigee the distance is d=362,600km. This gives an angular diameter of a=2.01482°
At Apogee the distance is d=405,400km. This gives an angular diameter of a=1.80226°
These Moon-Earth distances are as seen from the centre of the Moon. To calculate the diameter from the surface of the Moon, to subtract the position of the observer along the Moon-Earth axis.
If the observer is on the Moon's equator and the Earth is at zero-hour angle, the distance to the Earth needs to be subtracted by rM=1738.14km. Thus, we have;
The mean distance to the Moon is d=384399−1738=382661km, giving an angular diameter of a=1.90928°.
At Perigee the distance is d=362600−1738=360862km. We have an angular diameter of a=2.02452°
At Apogee the distance is d=405400−1738=403662km. We have an angular diameter of a=1.81001°
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A set of measurements that has high precision but low accuracy represents what sort of error?
In a lab setting, a systematic error frequently causes high precision with low accuracy. Either the measurer consistently makes the same error, or the measuring device has a fault. Even while a badly calibrated balance might consistently read the same mass, it will be far lower than the actual mass of the object.
What do you understand by accuracy?Accuracy is defined as "the degree to which the outcome of a measurement adheres to the correct value or a standard. basically refers to how closely a measurement fits the established value." The degree to which the outcome of a measurement complies to the proper value or a standard," is how accuracy is defined.
The more traditional term is "accuracy of measurement," which is defined as "... the degree to which the outcome of a measurement agrees with the genuine value of the thing being measured."
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You are looking at yourself in a plane mirror, a distance of 3 meters from the mirror. your brain interprets what you are seeing in the mirror as being a person standing ______ meters from you.
You are looking at yourself in a plane mirror, a distance of 3 meters from the mirror. your brain interprets what you are seeing in the mirror as being a person standing 6 meters from you.
CalculationThe plane mirror shows an exact replica of the real world. that means the distance of you from the mirror is the same distance as your reflection form the mirror at the opposite side of the mirror.
Thus, distance of image from the plane mirror is same as the distance of object (person) from the plane mirror but the image is formed behind the mirror.
Thereby we have v=u=3 m
Thus, distance between image and the person
is d = v + u = 3 + 3 = 6 m
Thus, the person is 6 meters away from the image.
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Calculate the wavelengths in air at 20∘c for sounds in the maximum range of human hearing. The speed of sound in air is 343 m/s.
The wavelengths in air is 8.8x10^-6 m for sounds in the maximum range of human hearing.
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
The following equation can be used to compute wavelength: wavelength = wave velocity/frequency. In most cases, wavelength is measured in metres. Greek letter lambda is used to represent wavelength, so = v/f.
speed = wavelength x frequency or wavelength = speed / freq
for f = 20Hz, wavelength = 343m/s / 2.0 x 10^1 Hz = 17.2m
for f = 20,000 Hz, wavelength = 343m/s / 20,000Hz = 0.017 m
39MHz = 39x10^6 Hz so wavelength = 343m/s / 39x10^Hz = 8.8x10^-6 m
Hence, the wavelengths in air is 8.8x10^-6 m
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What is the displacement if Susan walked 25km west to the store and 25km back home
The position of an object that is oscillating on a spring is given by the equation x = (17.4 cm) cos[(5.46 s-1)t]. what is the angular frequency for this motion?
The angular frequency of this motion is 5.46 rad/s.
The oscillation of spring is an example of Simple Harmonic Motion(SHM).
The general equation of an SHM is given by the formula.
X = Acos(wt)
Here A is the amplitude
ω is the angular frequency
T is the time
Comparing the above equation with the given condition,
X = 17.4 cm cos(5.46t)
A = 17.4 cm
ω = 5.46 rad/s
T = 1 s
Hence, the angular frequency of this motion is 5.46 rad/s.
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Acceleration on Earth at sea level is approximately 10 m/s2, what would be the
force of your egg drop package if the mass was 0.56 kg?
The correct answer is 5.6 Newton is the force on the egg .
Using newtons 2 law of motion
force = mass * accelaration
now accelaration =10 m / s^2
mass = 0.56 kg
force = 0.56 * 10
force = 5.6 newton
Newton's second law of motion governs the behavior of objects when all available forces are not balanced. The second law states that an object's acceleration is determined by two variables: the net force acting on the object and the object's mass. The acceleration of an object is proportional to the net force acting on it and inversely proportional to its mass. The acceleration of an object increases as the force acting on it increases. The acceleration of an object decreases as the mass of the object increases.
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A spacecraft is orbiting the sun, and makes a maneuver to slow down at aphelion. then, in the new orbit?
In the new orbit, the new perihelion will be closer to the sun and the aphelion will be unchanged.
In an orbiting celestial body, the point of the orbit where it is closest to the sun is called as Perihelion. In an orbiting celestial body, the point of the orbit where it is farthest to the sun is called as Aphelion.
Therefore when a spacecraft is orbiting the sun, and makes a maneuver to slow down at aphelion. then, in the new orbit the new perihelion will be closer to the sun and the aphelion will be unchanged.
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Find the area under the standard normal curve to the right of z=0.49. round your answer to four decimal places, if necessary.
Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.
What is the standard normal curve?The horizontal axis is approached by the standard normal bend as it extends indefinitely both in directions without ever being touched by it. The center of the bell-shaped, z=0 standard normal curve. Between z=3 and z=3, almost the entire area underneath the standard normal curve is located.
Use of the standard normal curve:Use the normal distribution's standard form to calculate probability. Since the standard normal distribution is indeed a probability distribution, the probability that a variable will take on a range of values is indicated by area of the curve between two points. 100% or 1 is the total area beneath the curve.
According to the given data:the region to the left of the standard normal curve,
z=0.49
To the right of,
z = 2.05
So,
The area will be:
= P[z < 0.49] + P[ z >2.05]
= P[z < 0.49] + 1 - P[ z < 2.05]
= .6879 + 1 - .9798
= 0.7081
Left of z = 0.49 and right of z = 2.05, the area underneath the standard normal curve is equal to 0.7081.
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I understand that the question you are looking for is:
Find the area under the standard normal curve to the left of z = 0.49 and to the right of z = 2.05. Round your answer to four decimal places, if necessary.
The length of the room is measured to be 5.56 meters. How many centimeters long is the room?
Answer:
556cm
Explanation:
because 5.56m × 100 = 556cm.
Answer:556
5.56*100=556
Explanation:
How would you connect multiple batteries in order to get the biggest possible voltage?
We connect multiple batteries in series in order to get the biggest possible voltage.
Series connection
A circuit is set to be connected in series when there is same flow current through all the component in the circuit.
There is only one path for current to flow.
Parallel connection
A circuit is said to be connected in parallel when all the components are connected across each other's lead.
If we connect two batteries in series then the two batteries add up their voltage. And we have the combined voltage. (as shown in image)
series means connecting one anode to the another cathode of next.
similarly if batteries placed in parallel then the voltage in circuit is same as of individual battery.
We connect multiple batteries in series in order to get the biggest possible voltage.
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What is the statement domain for p1? express as line numbers. exclude syntactical markers, such as {, }, else, and end.
The statement domain for p1 will constitute for all those line sequences which can possibly be executed depending upon the inputted value of A. It can be stated as follows:
{ (1,2,3), (1,2,3,5,8,16,17), (1,2,3,5,6,13,16,17)}
In addition to the examination of the total study population, the DOMAIN statement also asks analysis of domains (subpopulations).
The variables that distinguish domains are known as domain variables and are named by the DOMAIN statement.
Both character and numeric domain variables are acceptable. Domain variables are treated as categorical variables by the technique.
Each level of a variable determines a domain in the research population if it appears in a DOMAIN statement by itself.
A domain is determined by every possible combination of levels of variables when two or more variables are connected by an asterisk (*). Within each of the domains that are established by the domain variables, the process does a descriptive analysis.
The levels of the categorical variables are based on the formatted values of the domain variables.
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Rolls of foil are 304 mm wide and 0.019 mm thick. (the density of foil is 2.7 g/cm3 .) what maximum length of foil can be made from 1.05 kg of foil?
The maximum length of foil will be 6732.84 cm or 67.3284 m
To find the maximum length of the foil, the given datas are:
Width of roll of foil = 304 mm
Height or thickness = 0.019 mm
Density of foil = 2.7 g/cm³
Mass of foil = 1.05 Kg
What is Density?Density is the substance's mass per unit volume. It can be also described by measuring how the particles in the substances tightly packed together.
d = m/ v
v = length (l) × width (w) × height (h)
First of we will convert the Kg into gram and mm into cm.
For 1 Kg = 1000 g
1.09 × 1000 = 1090 g
For 1 cm = 10 mm
304 / 10 = 30.4 cm
0.019 / 10 = 0.0019 cm
Now we will put the values in formula:
d = m/ l× h× w
l = m / d × h× w
l = 1050 g / 2.7 g/cm³× 30.4 cm × 0.0019 cm
l = 1050 g/ 0.155952 g/cm
l = 6732.84 cm or 67.3284 m
The maximum length of foil will be 6732.84 cm or 67.3284 m
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Suppose you push to the right on a heavy piece of furniture but not hard enough to make it slide. does a friction force act on the furniture?
Yes, a friction force to the right acts on the furniture.
What do you mean by friction force?The force preventing solid surfaces, fluid layers, and material components from sliding past one another are known as friction. When surfaces in contact move past one another, the friction between the two surfaces transforms kinetic energy into thermal energy (that is, it converts work to heat). As demonstrated by the utilization of friction produced by rubbing pieces of wood together to start a fire, this feature can have dramatic effects. Every time there is motion with friction, such as when a viscous fluid is agitated, kinetic energy is transformed into thermal energy. Wear is a significant side effect of several types of friction that can result in deteriorated performance or component damage. The discipline of tribology includes friction.
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Which is an electronic tool that can be used to improve science?
Answer:
Telescope, Probware, etc,..
Answer: probeware
Explanation:
the answer is probeware
if you mean by the options,
A. a ruler
B. a thermometer
C. a beaker
D. probeware
11 short response to the following questions "Physics has made our lives comfortable." Justify this statement
Physics has made our lives comfortable because without physics there would be no modern life.
In the modern days before the invention of physics, the life was not as comfortable as today's world. Some basic examples, include controlling the living conditions. In colder days, you can warm yourself using a heater and in hotter days you can cool yourself using an air conditioner.
Physics along with other branches of science led the invention of all the equipment, gadgets, electric devices etc. These inventions makes life easier and comfortable.
Therefore, Physics has made our lives comfortable.
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Use logarithmic differentiation to find the derivative of the function. y = x4 sin x
The derivative of the function is dy/dx = 4([tex]x^{4sinx}[/tex])[(sin x) / x + (cos x) (ln x)]
y = [tex]x^{4sin x}[/tex]
Taking the log of both sides:
ln y = sin x ln [tex]x^{4}[/tex] = (sin x) * (4 ln x) = 4 (sin x)(ln x)
Now differentiate both sides. On the left you'll need to use the chain rule, and on the right you'll use the product rule:
1/y dy/dx = 4[(sin x) (1/x) + (cos x)(ln x)] = 4 [(sin x) / x + (cos x)(ln x)]
Multiply both sides by y
dy/dx = y * 4 [(sin x) / x + (cos x)(ln x)]
Since y = [tex]x^{4sinx}[/tex], we can rewrite this as:
dy/dx = [tex]x^{4sinx}[/tex] * 4 [(sin x) / x + (cos x)(ln x)]
dy/dx = 4[tex]x^{4sinx}[/tex] [(sin x) / x + (cos x)(ln x)]
Chain rule is the formula used to find the derivative of a composite function. Product rule is used to find derivative of products of two or more functions.
Therefore, the derivative of the function y = [tex]x^{4sin x}[/tex] is dy/dx = 4([tex]x^{4sinx}[/tex])[(sin x) / x + (cos x) (ln x)]
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There is a negative surface charge density in a certain region on the surface of a solid conductor. just beneath the surface of this region, the electric field
Just beneath the surface of this region, the electric field is zero.
Surface charge densityCharge density is a measure of the amount of electric charge present in a space per unit volume in one, two, or three dimensions, according to electromagnetism.
The quantity of electric charge per surface area or volume, respectively, is known as the linear surface or volume charge density.
What is the surface charge density equation?Σ = q/A
The formula for surface charge density is = q/A, and the SI unit for surface charge density is coulombs per square meter (cm2). Assuming q is the charge and an is the area of the surface over which it flows
What does surface charge mean?A two-dimensional surface having a positive electric charge is called a surface charge. This 2-D surface and surface are restricted by these electric charges.
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He difference in speed and velocity is that a measure of velocity must include:_________
a. a destination
b. distance and time units
c. direction
d. time of departure
Considering the definition of speed and velocity, the difference is that speed has no direction while velocity does take direction into account.
Definition of speedSpeed is a quantity that expresses the relationship between the space traveled by an object.
In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves .
Definition of velocityVelocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction.
Because the speed also considers the direction in which the displacement of an object occurs, it is considered a vector magnitude.
Difference between speed and velocityThe difference between speed and velocity is that speed has no direction, that is, speed is a scalar, while velocity does take direction into account, being a vectorial magnitude.
In, summary, the difference is that speed has no direction while velocity does take direction into account.
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Match each problem with the correct utility.
the computer is running slowly
sensitive information is not secure
sending a large video file through email
computers in a small business that can't share
information
:: SOHO
:: compression utility
III I
:: encryption :: defragmentation utility
An encryption can be defined as a form of cryptography and it typically involves the process of converting or encoding information in plain text into a code, known as a ciphertext. Generally speaking, an information or data that has been encrypted it can only be accessed and deciphered by an authorized user.
This ultimately implies that, an encryption simply refers to a utility which can be used by an end user to to secure his or her sensitive information from unauthorized access or theft by a hacker (attacker).
In Computer programming, some examples of encryption algorithms include the following:
3DESAESRC4RC5RSAIn Computer technology, a defragmentation utility helps to reorganize (rearrange) the data stored on a disk drive and as such, it would make a computer system to run faster. Also, a compression utility is a type of utility which can be used to reduce the size of a large video file that is to be sent through an email.
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What is the magnitude of the acceleration of the moon towards the earth? 3.0 m/s2 0.003 m/s2 30 km/s2 3.0 km/s2
The magnitude of the acceleration of the moon towards the earth is 0.003 [tex]m/s^2[/tex].
The acceleration means the rate with which the velocity of an object changes.
The time the moon takes to complete one revolution, t = 27.3 days = 2358720 s
The distance travelled in circular path, d = [tex]2\pi r[/tex] = [tex]24015\times 10^8[/tex] m
where radius r = [tex]3.844\times 10^8[/tex] m
The formula in circular motion is :
[tex]a=\frac{v^2}{r}[/tex]
[tex]v=\frac{d}{t}[/tex]
So substituting the values:
[tex]a=\frac{(1.024\times 10^3)^2}{3.844\times 10^8}[/tex]
[tex]a\approx 2.8\times 10^{-3} \ m/s^2[/tex]
[tex]\therefore a\approx 0.003 \ m/s^2[/tex]
The value of the acceleration of the moon towards the earth is 0.003 [tex]m/s^2[/tex].
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Why did the Industrial Revolution lead to the creation of jobs in human resources? A. More people were going to work on farms and in small shops. B. More people were working together in large groups. C. Once companies built factories, employees no longer needed training. D. Once companies built factories, there was no need to hire employees.
The Industrial Revolution led to the creation of jobs in human resources because more people were going to work on farms and in small shops and is therefore denoted as option A.
What is Industrial Revolution?This is referred to a period which experienced a change from a handicraft economy to one which was dominated by a lot of technological innovations and productions.
This period led to the production of a lot of machines which helped to make jobs easier for the workers. It led to the increase in the way different goods and products were processed which led to the need to employ more people to run the operations.
Working on farms with equipment such s tractors, plough etc and the creation of shops to sell more processed goods is what led to the creation of jobs in human resources.
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A 300-kg bear grasping a vertical tree slides down at constant velocity. the friction force between the tree and the bear is:_________
a. 30 n.
b. 300 n.
c. 3000 n.
d. more than 3000 n.
3000 N of friction exists between the bear and the tree.
How does friction force work?
Friction is the force that prevents two solid objects from rolling or sliding over one another. Even though frictional forces, such as the traction required to walk without slipping, may be advantageous, they can also be a significant hindrance to motion.Between solid surfaces, there are three basic types of friction:
RollingSliding.Static. They are graded from strongest to weakest. Fluid friction happens when liquids or gasses are mixed together.Explanation:
The bear goes down at a constant speed, thus there is no acceleration. The forces add up to zero. As a result, upward friction and downward weight result in zero
i.e.,
F-mg=0
F = mg
F = (300 kg)/10 [tex]m/s^{2}[/tex] (gravitational acceleration)
3000 N frictional force equals F.
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Calculate the energy of a photon emitted when an electron in a hydrogen atom undergoes a transition from =6 to =1.
When an electron in a hydrogen atom transitions from the state of n=6 to n=1, a photon with an energy of 13.2 eV is released.
What components make up a photon?A photon is a microscopic particle that is part of electromagnetic radiation waves. Maxwell demonstrated that photons are merely electric fields flowing through space.A single photon can trigger a response from sensors in the retina.What is the difference between an electron and a photon?Photons and electrons. One of the fundamental quantum-mechanical particles is an electron, although photons also exist and have entirely distinct properties. While the electron is a subatomic particle found in every atom, the photon is a sort of elementary particle that serves as an energy carrier.learn more about photon here
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What is the acceleration of a car travelling with a constant speed of 6o mph on a curved road that has 400 ft radius?
A car traveling at a steady speed of 60 mph on a curved road with a 400-foot radius experiences an acceleration of a=19.36 feet per second.
How does acceleration work?Acceleration is the rate of change in a moving object's speed and direction over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.
What are the three different forms of acceleration?Any change in an object's velocity causes an acceleration, whether it be an increase in speed (what most people refer to as acceleration), a decrease in speed (also known as a deceleration ), or a change in direction (called centripetal acceleration ).
Speed
V=60mph
V=60*1.4667
V=88 ft/s
Acceleration
a= v²/r
a=88²/400
a=19.36ft/s²
A car traveling at a steady speed of 60 mph on a curved road with a 400-foot radius experiences an acceleration of a=19.36 feet per second.
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Why is sugar solution classified the way it is?