The angular acceleration produced (a) when no one is on the merry-go-round is 6.67 rad/s. b) when an 18.0-kg child sits 1.25 m away from the center is 4.44 rad/s
How to solve for the angular accelerationWe have M = 50 and R = 1.50
Then we have to solve for the moment of Inertia
I = 0.5 * 50 * 1.5²
I = 56.25 kg/m²
R * F = 1.5 * 250
= 375
angular acceleration at A = 375 / 56.25
= 6.67 rad / s²
b. α * ( {50*1.5*1.5/2} + {18*1.25*1.25} ) = 1.5*250
This would have to be the total moment of inertia of this child as well as the merry go round.
= 375 / 84.38 kg
= 4.44 rad/s
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complete question
Consider the father pushing a playground merry-go-round. He exerts a force of 250 N at the edge of the 50.0-kg merry-go-round, which has a 1.50 m radius. Calculate the angular acceleration produced (a) when no one is on the merry-go-round and (b) when an 18.0-kg child sits 1.25 m away from the center. Consider the merry-go-round itself to be a uniform disk with negligible retar.ding friction.
on with pavel. A substance having low specific head capacity gets headed faster than another mass and having high specific head capacity? Why?
Answer:
Below
Explanation:
Heat capacity has units of J / g °C
if g of the two samples are equal , for comparison , this can
be reduced to J / °C
sqec heat = J/°C
or re-arranging :
J / spec heat = °C
now if spec heat 1 > spec heat 2
then adding the same J will cause less temp rise in 1 than in 2
Example : adding 100 J of heat to each sample .... and say,
specheat 1 = 4 and specheat2 = 2
J / specheat 1 = C
100 / 4 = 25 ° C Temp change
J /specheat 2 =
100 / 2 = 50 <===== so smaller spec heat results in higher ° C change
a rock is dropped from a bridge and it hits the river 4.5 seconds later. How high is the bridge?
Answer:
99 meters
Explanation:
Apply the distance formula:
[tex] \displaystyle{s = ut + \dfrac{1}{2} g{t}^{2} }[/tex]
where u is initial velocity which is 0 m/s since there is no initial velocity by dropping an object.
t is time which we know is 4.5 seconds. Finally, g is a constant of acceleration due to gravity which on Earth equals to 9.8 m/s². Therefore:
[tex] \displaystyle{s = 0 \cdot 4.5 + \dfrac{1}{2}(9.8) {(4.5)}^{2} } \\ \\ \displaystyle{s = \dfrac{1}{2}(9.8) {(4.5)}^{2} } \\ \\ \displaystyle{s \approx 99 \: \text{m}}[/tex]
Therefore, the bridge is around 99 meters height.
A radio wave is traveling in the negative y-direction. What is the direction of E⃗ at a point where B⃗ is in the positive x-direction? What is the direction of at a point where is in the positive -direction?
A. −x-direction
B. −y-direction
C. +z-direction
D. +y-direction
E. +x-direction
F. −z-direction
A radio wave is traveling in the negative y-direction while the magnetic field B is in the positive x-direction. Therefore, the electric field E is in the negative z-direction or −z-direction (option F)
The Poynting vector or the energy flux of the radio wave is given by:
S = (1/μo) E x B
Where:
μo = the permeability of the medium through which electromagnetic wave passes
E = electric field
B = magnetic field
The directions of the vectors follows the right hand rules, as depicted in the attached picture.
In the given case, S or E x B is travelling in the negative y-direction.
The magnetic field B is in the positive x-direction. Hence, using the right hand rule, the direction of electric field E is in the negative z direction, or in the −z-direction (option F)
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The compound beam is fixed at A, pin connected at B, and supported by a roller at C. Draw the shear and moment diagrams for the beam.
The composite beam is supported by a roller at A, pin attached at B, and fastened at C. (See pic). The sheer and moment diagrams' figures are included.
At the intersection of "A" and "B," the shear force remains constant. in the Shear diagram, the first incline plane.
Linear shifts in shearing force are present between "B" and "C." The bending moment diagram thus reveals the parabolic shape.
The moment is 0 at point "B."
By calculating the shear force and bending moment at a specific place on a structural element, such as a beam, shear and bending moment diagrams are analytical approaches that are used in conjunction with structural analysis to help structural design.
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Distillation _____. Uses boiling points to separate different liquids separates substances based on particle size causes a chemical change is the best method for separating a solid and a liquid.
Distillation separates substances based on particle size.
When two chemicals with various boiling points are together, they are separated via distillation. Distillation cannot be used for two substances with the same boiling points since they both evaporate and accumulate in the condensation tube together if their boiling points are the same.
Due to the enhanced potential for liquid condensation offered by a fractionating column, fractional distillation is more effective than simple distillation. The vapour can clash and lose energy on a wide surface area in a fractionating column filled with glass beads or glass helices, which enables fast condensing and distillation of the mixture.
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Distillation separates substances based on particle size.
Distillation separates substances based on particle size. Uses boiling points to separate different liquids separates substances based on particle size causes a chemical change is the best method for separating a solid and a liquid. When two chemicals with various boiling points are together, they are separated via distillation. Distillation cannot be used for two substances with the same boiling points since they both evaporate and accumulate in the condensation tube together if their boiling points are the same. Condensation is a process in which the gas is changed into a liquid form without the form of any other that we can study. condensation also takes place in water cycle when the cloud starts to vaporize and it condenses into rain and we see it as the water which is condensing from the cloud. it only occurs in the cold temperature and we see it then.
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A test rocket is fired straight up from rest with net acceleration of 25 m/s2. After 5 seconds the motor turns off, but the rocket continues to coast upward. What maximum elevation does the rocket reached?.
Maximum elevation that the rocket reached is calculated to be 1109.69 m.
What is elevation?Angle that is formed between the horizontal line and line of sight is called the angle of elevation.
Given, net acceleration is 25 m/s²
Height after burn,
S = 0.5 x f x t²
= 0.5 x 25 x 25 = 312.5 m
Velocity is f x t =25 x 5= 125 m/s
Rocket starts to fall to earth and at its maximum height the velocity is zero
0 = initial velocity - g x t
= 125 - 9.8 x t
Now, t = 12.75 secs
As, Distance travelled, S = u x t - 0.5 x g x t^2
= 125 x 12.75 - 4.9 x 12.75^2
Now, S = 797.19 m
So total elevation = 312.5 + 797.19
Therefore, total elevation = 1109.69 m
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a two meter long rod of uniform diameter 6 cm has density 3/ (5 x) grams per cubic centimeter at distance x, measured in meters, from the left-hand endpoint. Find the total mass of the rod
The density function of a 2-m rod is 3/ (5 x) grams per cubic centimeter at distance x, measured in meters, from the left-hand endpoint. The total mass of the rod is 28.5 gram
The formula of mass as a function of density is:
m = ρ . V
Where:
ρ = density
V = volume
m = mass
In the given problem, since the density is not constant but a function of distance x, then:
dm = ρ(x) . A dx
Where:
ρ(x) = 3/(5 + x)
A = 1/4 πd² ( d = diameter of rod's cross section)
A = 1/4 (3.14) (6)² = 28.26 cm²
Hence,
dm = 28.26 × 3/(5 + x) dx
dm = 84.78 / (5 + x) dx
Take the integral:
∫dm = ∫ 84.78 / (5 + x) dx
m = 84.78ln (5+x) + C
Evaluate the integral from 0 - 2 meters. Note that in the density function, x is measured in meters while the unit of density function is already in gram per cubic centimeters. Hence, no need to convert it to cm.
m = 84.78 [ln(5+2) - ln(5+0)]
= 84.78 [ln(7) - ln(5)]
= 28.5 gram
There was a typo in your question, most probably your question was:
A two meter long rod of uniform diameter 6 cm has density 3/ (5 + x) grams per cubic centimeter at distance x, measured in meters, from the left-hand endpoint. Find the total mass of the rod
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Two workers are pushing on the same large crate. One worker pushes east with a force of 875 n, while the other worker pushes north with a force of 960 n. Friction between the crate and the floor is directed west with a force of 80 n and south with a force of 105 n. Assuming drag due to air resistance is negligible, what are the total north-south net forces and the total east-west net forces acting on the crate, causing it to accelerate across the floor?.
The total north-south net force acting on the crate is the sum of the forces pushing north (960 N) and the force of friction pushing south (105 N). This is a net force of 960 N - 105 N = 855 N pushing north.
The total east-west net force acting on the crate is the sum of the forces pushing east (875 N) and the force of friction pushing west (80 N). This is a net force of 875 N - 80 N = 795 N pushing east.
This can be explained by Newton's second law, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
In this case, the crate is accelerating in the direction of the net forces acting on it (north and east). The forces of friction are opposing the motion of the crate, so they are subtracted from the total net force to determine the final acceleration.
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When you play with your toy gun, the gun has a spring. When the spring is compressed by 0.12m, the toy gun shoots out a 0.010 kg pellet to a max height of 100m, a) What is the final gravitational potential energy of the pellet
The Gravitational Potential Energy (GPE) of the pellet is 980 Joules.
To find the final Gravitational Potential Energy (GPE) of the pellet, we can use the formula:
GPE = mgh
Where m is the mass of the object (in this case, the pellet), g is the acceleration due to gravity (approximately 9.8 m/s² on the surface of the Earth), and h is the height the object is above a reference point.
In this case, the mass of the pellet is 0.010 kg, the acceleration due to gravity is 9.8 m/s², and the final height of the pellet is 100m.
So the final Gravitational Potential Energy of the pellet is:
GPE = (0.010 kg)(9.8 m/s^2)(100m)
GPE = 980 Joules
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How accurate was the first chronometer?
The first chronometer was not very accurate, as it had an error rate of up to 15 minutes a day. However, it was still a major advancement in maritime navigation as it improved the accuracy of longitude determination substantially compared to the methods that were used before.
The Impact of the First Chronometer on Maritime NavigationThe invention of the first chronometer in the 18th century was a major milestone in the history of maritime navigation. The chronometer was a type of clock that was designed to be used onboard ships in order to accurately measure longitude. It was a major improvement over the methods that were used before, as it had an error rate of only 15 minutes per day. This meant that navigators could much more accurately determine their position at sea, which was critical for safe navigation.
The chronometer allowed for a much more precise determination of longitude than was previously possible. Before its invention, the best method of determining longitude was based on lunar observations, which was still highly inaccurate. With the chronometer, navigators could now determine their longitude within minutes rather than hours. This greatly increased the safety and efficiency of maritime travel.
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The figure shows two vectors T⃗ and U⃗ separated by an angle θTU.
You are given that T⃗ =(3,1,0), U⃗ =(2,4,0), and T⃗ ×U⃗ =V⃗ .
1) Express V⃗ as an ordered triplet of values, separated by commas.
2) Find the magnitude of V
3) Find the sine of the angle between T⃗ and U⃗ .
Answer:
1) (0,0,10)
2) 10
3) 0.707
Explanation:
1) Given the x,y, and z magnitudes of both T and U, we find V by using the cross product: c = (ay*bz - az*by)i^ + (az*bx - ax*bz)j^ + (ax*by - ay*bx)k^
(i^ = "i hat" etc. sry to confuse)
in this case, I used a=T, b=U, and c=V:
V = (Ty*Uz - Tz*Uy)i^ + (Tz*Ux - Tx*Uz)j^ + (Tx*Uy - Ty*Ux)k^
Now plug in values:
V = (1*0 - 0*4)i^ + (0*2 - 3*0)j^ + (3*4 - 1*2)k^
V = 0i^ + 0j^ + 10k^
These are your components.
2) To get the magnitude of V, you add up the vector components:
sqrt( 0^2 + 0^2 + 10^2)
sqrt(100) = 10
Note: because they are vectors, you must use vector addition with the square root. (do NOT simply add 0 + 0 + 10 = 10.)
3) Lastly it asks for sin(theta), so we can use the equation of:
c = a*b*sin(theta)
Again I input c = V, a = T, b = U:
V = T*U*sin(theta)
Isolate sin(theta) on one side:
sin(theta) = V/(T*U)
To get just T or U, do vector addition once more for their x,y, and z components:
T = Tx + Ty + Tz = sqrt( 3^2 + 1^2 + 0^2) = sqrt( 9 + 1 + 0) = 3.162
U = Ux + Uy + Uz = sqrt( 2^2 + 4^2 + 0^2) = sqrt (4 + 16 + 0) = 4.472
Plug in values:
sin(theta) = V/(T*U) = 10/(3.162*4.472) = 0.707
A transverse plane will cut a body or organ into? a) Anterior and posteriorb) Left and right c) Superior and inferior d) At an angle
c) Superior and inferior portions.
The transverse plane's function is what?
The body's upper (superior) or lower (inferior) halves are separated by the transverse plane, also known as the axial plane.This plane is where rotational or horizontal movements take place, such as:Rotation: turning the torso or even a limb about its axis of rotation.
What in anatomy is a transverse cut?Transverse plane: A horizontal slit that divides the specimen's top and bottom.additionally called a cross-sectional plane.The left and right halves of the specimen are divided by a vertical cut made along the specimen's exact center line, or midsagittal plane.
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In each of the two free body diagrams the forces are acting on an 2.8 kg object. (a). Find the value of a subscript z, the x component of the acceleration in diagram
(b). Find the value of a subscript y, the y component of the acceleration in diagram (b).
Based on the free-body diagram, the x component of the acceleration is -0.7 m/s² and the y component is 0 m/s²
According to the Newton second law of motion:
∑F = ma
Where:
∑F = net force
m = mass of the object
a = acceleration
The force acted on an object can be divided into its x-y components.
In the given problem, mass of the object = m = 2.8 kg
a) ∑Fx = 2 - 4 = -2 (in negative x direction)
Hence,
ax = ∑Fx /m = -2/2.8 = -0.7 m/s²
b) ∑Fy = 3 - 3 = 0
Hence,
ay = ∑Fy /m = 0/2.8 = 0 m/s²
The picture in your question is missing, but most probably it was on the attached picture. There was typo in your question, most likely it was:
In each of the two free body diagrams the forces are acting on an 2.8 kg object. (a). Find the value of a subscript x, the x component of the acceleration in diagram
(b). Find the value of a subscript y, the y component of the acceleration in diagram
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why isn't k1 kerosene that's been stored for a couple years in an airtight container good to use in a heater
Over time, stored kerosene does deteriorate. Kerosene deterioration is mostly brought on by condensation.
When kerosene absorbs water, it transforms into condensation, which promotes the growth of germs and mould. The development of bacteria and mould causes the kerosene to contain sludge-like materials. When kept in its original packaging or a designated container, kerosene has a shelf life of up to five years. Kerosene absorbs water from condensation as it ages. Mold and bacteria will turn the fuel into sludge and break it down. Kerosene's lifespan can be increased by yearly adding a fuel stabiliser. Kerosene storage can be challenging. It can degrade, lose its incendiary power, and sustain dangerous moulds and bacteria after roughly three months.
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if your vehicle breaks down on the road, the first thing to do is to... choose one a. warn other motorists. b. try to get your vehicle going. c. get off the road. d. wave until someone stops.
Option (A) is correct ,if your vehicle breaks down on the road, the first thing to do is warn other motorists
What is vehicle?A vehicle is a piece of equipment used to move people or goods. Wagons, bicycles, motorized, railroad, watercraft, amphibious, aircraft, and spacecraft are examples of vehicles.
Why are vehicles important?Why are automobiles so crucial? The private automobile has changed modern civilization for more than a century by enabling freedom and independence of movement. Due to the growing distances between places like house, workplace, academic facilities, shopping malls, and recreational facilities, transportation is becoming ever more crucial.
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when a karate chop breaks a board with a 3000-n blow, the amount of force that acts on the hand is
Or less 3000 N of force acts just on the hand when a ninja kick breaks a piece of wood with a 3000 N blow. In physics, a pressure effect has the power to change how an item moves.
A mass-containing object's velocity could alter and accelerate as a result of a force (for example, moving from a state of rest). A push or a pull can also be used to conceptualise force. According to the physics concept of force, a change in velocity is caused by the push or pull an item receives. A body's resting or moving status can be changed by an external agent known as force.
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a cheetah can accelerate from rest to a speed of 25.5 m/s in 4.00 s. what is its acceleration (in m/s2)? (enter a number.)
A cheetah may accelerate at a speed od 25.5 m/s within 4.00 seconds, which equals 51.
Tell me about acceleration.acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or point travelling straight forward. Due to the constant change in direction, motion on a circle accelerates even while the speed is constant.
What exactly is the law for acceleration simple?According to Newton's Second Law on Motion, when a force applies on a mass object, acceleration occurs and speed increases. The application of the this motion law can be seen while bicycling. There is mass in your bicycle. The force is generated by the leg muscles pressing against the bicycle pedals.
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What affects the weather? (Select all that apply)
Humidity
Gravitational pull from the moon
Wind speed and direction
Temperature
Air Pressure
Grade: Middle School
Subject: Science
The weather is affected by:
HumidityWind speed and directionTemperatureAir Pressure.What are the elements of weather?The amounts or characteristics of the weather that are frequently measured are known as its elements.
The six major elements of the weather are temperature, air pressure, wind, humidity, precipitation, and cloudiness. The amount of water vapour in the air at any one time is called the humidity. Humidity is influenced by the target system's temperature and pressure.
hence, the correct options are: Humidity, Wind speed and direction, Temperature, Air Pressure.
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Lebron is comparing flights departing from minneapolis. Which 222 ways could lebron find the flight with the fastest average speed?.
The stated statement states that the right options are to discover the lowest and highest kilometers per hour.
What is the straightforward meaning of speed?Its speed is the rate in which an object's position shifts in any direction. Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed is a numeric number since it just has a path and no magnitude.
Methods for determining the fastest cruising velocity.
Speed = Distance / Time = kilometers per hour
Consequently, Find the speed that is least in kilometers per hour.
The highest speed in kilometers per hour.
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The complete question is-
Lebron is comparing flights departing from Minneapolis. Which 2 ways could Lebron find the flight with the fastest average speed? Choose 2 answers:
A). Find the least kilometers per hour
B). Find the greatest kilometers per hour
C). Find the least minutes per kilometers
D). Find the greatest minutes per kilometers
What is the voltage drop across a 5.0-? resistor if the current through it is 5.0 A?
A) 1.0 V
B) 4.0 V
C) 25 V
D) 100 V
The voltage drop across a 5 Ω resistor if the current through it is 5 A is calculated to be 25 V.
From Ohm's law we know the equation, V = I R
where,
V is the voltage drop
I is the current
R is the resistance
Given that,
I = 5 A
R = 5 Ω
Putting the values in the above equation, we have,
V = I R = 5 × 5 = 25 V
Thus, the required voltage drop across a 5 Ω resistor if the current through it is 5 A is calculated to be 25 V.
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How does a chronometer determine longitude?
A chronometer can determine longitude by measuring the difference in time between a known point on land and the current location. This difference in time can then be used to calculate the longitude. For example, if the time at the known point is 12:00 pm, and the time at the current location is 12:30 pm, the difference in time is 30 minutes, which equates to 30 degrees of longitude.
How Chronometers Are Used to Determine LongitudeOne of the most important navigational tools available to sailors and explorers is the chronometer, which is used to determine longitude. Longitude is a measurement of distance east or west of a prime meridian, which is used to measure the position of a location relative to the rest of the world. Chronometers measure the difference in time between a known point on land and the current location, which is then used to calculate the longitude.
The invention of the chronometer dates back to the 18th century when John Harrison created the first accurate marine chronometer. This device was revolutionary for its time as it enabled sailors to calculate their longitude with some degree of accuracy for the first time. It was also used to set the time for navigational calculations, which allowed for more accurate and reliable navigation.
Today, chronometers are still used to determine longitude, although the technology has improved significantly since Harrison's time. Modern chronometers are incredibly accurate and reliable, ensuring that sailors and explorers can accurately calculate their position without having to rely on guesswork.
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How much mass was there in the protoplanetary disk out of which the planets formed compared to the mass of the Sun
When compared to the mass of the Sun, the protoplanetary disk—from which the planets formed—had between 0.01% and 0.1 mass. In addition, since the aforementioned disc was close to the solar system.
Additionally, it indicates that a star system between two other stellar systems can form at any time. Moreover, based on data from newly formed planets or stars, the protoplanetary disc is estimated to have a mass of 0.01 to 0.1 solar mass. An infant newly formed star, a T Tauri star, or a Herbig Ae/Be star is surrounded by a rotating protoplanetary disc, which is made of dense gas and dust. Another way to think about the protoplanetary disc is as the star's own accretion disc.
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The protoplanetary disc had a mass of roughly 2 × 10³⁰kg, while the Sun's mass is roughly 1.989 × 10³⁰ kg. The protoplanetary disc and the solar system together have a mass of around 2 × 10³⁰kg. 1.989 × 10³⁰kg, or 99.89% of the solar system's mass, is in the Sun.
Formation, it is believed that protoplanetary discs are thin objects with masses much smaller than the center young star and typical vertical heights far lower than the radius. Although the gas in a typical proto-planetary disc makes up the majority of its mass, the existence of dust particles has a significant impact on how the disc evolves.
Thus, the protoplanetary disk from which the planets formed had between 0.01% and 0.1 mass when compared to the mass of the Sun. Furthermore, the object in question was close to the solar system.
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if v⃗ 1 and v⃗ 2 are parallel, express your answer in terms of v1 and v2.
If the vectors v⃗ 1 and v⃗ 2 are parallel, the v⃗ 1* v⃗ 2 is v1v2.
A vector refers to a quantity or phenomenon that is characterized by two independent properties: magnitude and direction. The dot product of two vectors gives a scaler value and is equal to the magnitude of first vector multiplied by magnitude of second vector multiplied by the cosine angle between the two vectors. It is given by:
v⃗ 1* v⃗ 2 = │v⃗ 1│*│v⃗ 2 │cos Ɵ
If the two vectors are parallel, the Ɵ = 0, hence
v⃗ 1* v⃗ 2 = │v⃗ 1│*│v⃗ 2 │cos 0 = v1*v2*1 = v1v2
Note: The question is incomplete. The complete question probably is: If v⃗ 1 and v⃗ 2 are parallel, find v⃗ 1* v⃗ 2, express your answer in terms of v1 and v2.
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A 60-kg and a 90-kg skydiver jump from an airplane at an altitude of 6000 m, both falling in the pike position. Make some assumption on their frontal areas and calculate their terminal velocities. How long will it take for each skydiver to reach the ground (assuming the time to reach terminal velocity is small)
The velocity for mass of 60 kg is 99.6 m/s and for mass of 90 kg is 122 m/s.
What does science mean by speed?The displacement that an object or particle experiences concerning respect to time are expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).
What is speed and what is its SI equivalent?The pace at which a body's distance changes about time is referred to as its velocity. Its SI equivalent is m/s.
Given:-
Mass (m1) = 60kg
Mass (m2) = 90kg
Assumption:
ρ(air) = 1.21 kg/m^3
Pike position so assume A = 0.14 m^2
Pike position so assume C = 0.7
The terminal velocity [tex]V_T= \sqrt{\frac{2mg}{ρ(air)*C*A} }[/tex]
For 60kg,
[tex]V_T= \sqrt{\frac{2*60*9.80}{1.12*0.7*0.14} }[/tex]
[tex]V_T=99.6m/s[/tex]
For 90kg,
[tex]V_T= \sqrt{\frac{2*90*9.80}{1.12*0.7*0.14} }[/tex]
[tex]V_T=122m/s[/tex]
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In a game of tug-of-war, a rope is pulled by a force of 182 n to the right and by a force of 108 n to the left. What is the magnitude and direction of the net horizontal force on the rope?.
The magnitude of the net horizontal force is 74 N and the direction of the net horizontal force will be on the right side.
The force by the right side = 182 N
The force by the left side = 108 N
The magnitude of the net horizontal force can be found using the formula,
F = F₁ - F₂
where F is the net force
F₁ is the force on the right side
F₂ is the force on the left side
Let us substitute the known values in the above equation, we get
F = 182 - 108
= 74 N
The force by the right side is greater than the force by the left side, thus, the direction of the net horizontal force will be on the right side.
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Imagine new students have just joined the class, and you are teaching them the basics of projectile motion to help them catch up. What are the most important things they should know about how projectiles travel
In projectiles, the horizontal and vertical motions are independent, meaning they do not affect each other.
The figure compares a free-falling shell (in blue) with a shell launched horizontally in projectile motion (in red). You can see that the free-falling cannonball falls at the same speed as the projectile's moving cannonball. Keep in mind that if a cannon launches a ball with any vertical component to velocity, the vertical displacements will not be perfectly aligned.
Projectile motion is the motion of objects that are thrown (projected) into the air. After the initial triggering force, the object experiences only gravity. The object is called the projectile and its path is called air resistance. When an object moves through the air, it experiences a frictional force that slows its motion, which is called drag. Drag significantly changes the air resistance of motion but is ignored in introductory spectacles due to computational difficulties.
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How many atoms are there in a 2 moles of oxygen atoms? how many atoms are there in 2 moles of oxygen molecules?.
Two moles of oxygen contain 1.2044 ×10²⁴ oxygen atoms.
The mole, which is denoted by the symbol "mol," is used to measure the quantity or amount of substance. We know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number.
number of mole of O₂= 2 mole
number of atoms/molecules=number of moles × 6.022×10²³(Avogadro number)
substituting all the given values in the above equation, we get
number of oxygen atoms = 2 × 6.022 × 10²³
number of oxygen atoms= 1.2044 ×10²⁴ oxygen atoms.
Therefore, 1.2044 ×10²⁴ oxygen atoms are there in a 2 moles of oxygen atoms.
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a sled is pulled along a flat road with a consistency velocity. The sled is being pulled by a rope that makes an angle of 25 degrees with the horizontal. The friction of a snow on the sled provides a force of 85 Newtons. What is the force being applied to the rope
The force being applied to the rope is 43.78 Newtons.
How do you determine the force applied?To find the force being applied to the rope, you can use the formula:
F = ma
where,
F is the force, m is the mass of the sled, and a is the acceleration of the sled. Since the sled is moving at a constant velocity, the acceleration is 0.
The force being applied to the sled by the rope can be broken down into two components:
a horizontal component and a vertical component.The horizontal component is the force being applied to the sled in the direction it is moving, and the vertical component is the force being applied to the sled in the direction perpendicular to the direction it is moving.
Apply trigonometry to find the horizontal and vertical components of the force being applied to the sled. The horizontal component is the force being applied to the sled in the direction it is moving, and the vertical component is the force being applied to the sled in the direction perpendicular to the direction it is moving.
So, the horizontal component of the force being applied to the sled is 85 * cos(25) = 72.67 Newtons. The vertical component of the force being applied to the sled is 85 * sin(25) = 42.78 Newtons.
Since the friction of the snow on the sled provides a force of 85 Newtons in the opposite direction of the direction the sled is moving, the total horizontal force being applied to the sled is 72.67 - 85 = -12.33 Newtons. This means that the force being applied to the rope in the direction it is being pulled is 12.33 Newtons.
The total vertical force being applied to the sled is 42.78 - 0 = 42.78 Newtons. This means that the force being applied to the rope in the direction perpendicular to the direction it is being pulled is 42.78 Newtons.
So, the total force being applied to the rope is the square root of the sum of the squares of the horizontal and vertical components of the force. This is equal to the square root of (12.33^2 + 42.78^2) = 43.78 Newtons.
Therefore, the correct answer is as given above
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The compositions of Uranus and Neptune differ primarily from those of Jupiter and Saturn in that the outer two planets contain more:
Jupiter and Saturn are mostly made up of hydrogen and helium. Uranus and Neptune both have hydrogen, but they also have more "ices" of carbon, oxygen, and nitrogen.
Jupiter and Saturn's atmospheres are almost exclusively comprised of hydrogen and helium, while there is some evidence that they include hydrogen compounds. Uranus and Neptune are mostly composed of hydrogen compounds, with minor amounts of hydrogen, helium, metal, and rock.
Uranus has a duller look than Neptune and is typically cloudless. Neptune's atmosphere features darker bands than Uranus', as well as streaks and wisps of white clouds and a big "black patch."
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What is the KE of a 72.62 kg person running at 1.78 m/s
Answer:
115 J (100 J if following significant rule)
Explanation:
We can find the kinetic energy by applying the formula:
[tex] \displaystyle{ \text{ KE} = \dfrac{1}{2}mv^2}[/tex]
m is mass and v is velocity. Therefore, substitute in the formula:
[tex] \displaystyle{ \text{ KE} = \dfrac{1}{2} \times 72.62 \times {1.78}^{2} } \\ \\ \displaystyle{ \text{ KE} = \dfrac{1}{2} \times 72.62 \times 3.17} \\ \\ \displaystyle{ \text{ KE} \approx 115 \: \text{J}}[/tex]
If following the significant rule, it'd be 100 J but 115 J is more appropriate.
