Suppose a 60.0-kg gymnast climbs a rope. (a) What is the tension in the rope if he climbs at a constant speed? (b) What is the tension in the rope if he accelerates upward at a rate of 1.50 m/s2?
Use the Newton's Second Law of Motion to find the tension in the rope on each case.
a)
Since the gymnast climbs at a constant speed, then the net force acting on the gymnast must be 0. Since there are only two forces acting on the gymnast, namely the tension of the rope and the weight of the gymnast, then:
[tex]\begin{gathered} F_N=T-W=0 \\ \Rightarrow T=W \end{gathered}[/tex]On the other hand, the weight of the gymnast is equal to the product of its mass times the acceleration of gravity, g=9.81m/s^2:
[tex]\begin{gathered} W=mg \\ =(60\operatorname{kg})(9.8\frac{m}{s^2}) \\ =588N \end{gathered}[/tex]Then, the tension of the rope is:
[tex]T=588N[/tex]b)
The forces acting on the gymnast are 2: the tension of the rope and the gravitational pull:
[tex]F_N=T-W[/tex]From the second law of motion, we know that the net force acting over an object of mass m produces an acceleration a given by:
[tex]F_N=ma[/tex]Then:
[tex]\begin{gathered} T-W=ma \\ \Rightarrow T=W+ma \end{gathered}[/tex]Substitute W=588N, m=60kg and a=1.50 m/s^2 to find the tension of the rope:
[tex]\begin{gathered} T=588N+(60\operatorname{kg})(1.5\frac{m}{s^2}) \\ =588N+90N \\ =678N \end{gathered}[/tex]Therefore, the answers are:
[tex]\begin{gathered} a)T=588N \\ b)T=678N \end{gathered}[/tex]How did Buddhism and the Maury and contribute to technology in ancient India?
During the Maurya empire, the Indian lifestyle and manner of existence had been deeply stimulated by Buddhism. Buddhism appealed to human beings of decreased castes because it emphasized individuals' course to enlightenment and salvation, which might be attained in this existence.
The Maurya Empire's political cohesion and inner peace endorsed the expansion of trade in India. at some stage in Ashoka's reign, authorities oversaw the building of essential roadways, and the Mauryan international network of exchange multiplied. India's exports to places like Bactria and Persia blanketed silk, textiles, and spices.
The Maurya Empire become centralized through the conquest of the Indo-Gangetic simple, and its capital town become located at Pataliputra (current Patna). outdoor this imperial middle, the empire's geographical volume became dependent on the loyalty of military commanders who managed the armed towns sprinkling it.
Learn more about the Maurya empire, here
https://brainly.com/question/3106868
#SPJ9
Margie, who weighs 624 N, is standing on a bathroom scale that weighs 51.0 N.
With what magnitude force does the floor push up on the scale?
Answer:
675N
Explanation:
624 + 51 = 675N
as the floor exerts and an equal and opposite force.
The differences in air pressure that create a sound wave are the result of differences in the velocities of air particles. Is this true or false?
ANSWER:
true
STEP-BY-STEP EXPLANATION:
The differences in air pressure that create a sound wave are the result of differences in the velocities of the air particles. Due to the Doppler effect, an observer will hear a sound that moves away from her and has a higher pitch. Sound waves will travel faster on a dry day than on a humid day of the same temperature.
Therefore, the statement is true
Which of the following is true when the kinetic energy of the particles in a sample of matter is lowered?The temperature increases.bThe temperature decreases.cThe sample will absorb less heat.dMore heat flows away from the sample.
Answer: The temperature decreases.
The intern energy is shown with the movement of particles, if the lower the speed then the intern energy decrease, and the temperature too.
Answer: More heat flows away from the sample
This one can be true, when they stop moving the heat (temperature) decreases and that heat energy flows away.
Both are so similar, but the most accurate is the temperature decrease because the heat flows a part away not totaly
While experimenting with electromagnets, students oriented two like you see in the diagram here. Predict what will happen and explain
why.
A The two electromagnets will repel; the poles repel.
B The two electromagnets will repel; the electrical current forces them away from each other.
C The two electromagnets will attract; opposite poles attract
D Nothing will happen; electromagnets do not behave like typical bar magnets.
Answer:
C The two electromagnets will attract; opposite poles attract
Explanation:
Electromagnets behave like regular magnets - they have two poles - positive and negative
Like regular magnets, opposite poles attract, similar poles repel
Joe is carrying a load of supplies and likely injuring his back by supporting 882 N of weight. Calculate the mass of what he is carrying.
Since the load Joe is carrying is equal to the supporting weight, the mass of the load will be 90 Kg
What is Weight ?Weight is the gravitational pull of an object under the influence of acceleration due to gravity.
Given that Joe is carrying a load of supplies and likely injuring his back by supporting 882 N of weight.
The load Joe is carrying will be equal to 882 N
To calculate the mass of what he is carrying, let us use the formula
W = mg
Where
Weight W = 882 NAcceleration due to gravity g = 9.8 m/s²Mass m = ?882 = 9.8m
m = 882/9.8
m = 90 Kg
Therefore, the mass of what he is carrying is 90 Kg
Learn more about Weight here: https://brainly.com/question/229459
#SPJ1
A car of mass m = 1090 kg is traveling down a θ = 11 degree incline. When the car's speed is v0 = 16 m/s, a mechanical failure causes all four of its brakes to lock. The coefficient of kinetic friction between the tires and road is μk = 0.45.
Calculate the distance the car travels down the hill L in meters until it comes to a stop at the end.
The distance the car of mass 1090 kg travels with a velocity of 16 m / s down the hill having a 11 degree decline until it comes to a stop at the end is 52 m
θ = 11°
m = 1090 kg
g = 9.8 m / s²
μ[tex]_{k}[/tex] = 0.45
W = m g
W = 1090 * 9.8
W = 10682 N
Resolving W into its horizontal and vertical components,
[tex]W_{y}[/tex] = W cos θ
[tex]W_{y}[/tex] = 10682 * cos 11°
[tex]W_{y}[/tex] = 10682 * 0.98
[tex]W_{y}[/tex] = 10468.36 N
[tex]W_{x}[/tex] = W sin θ
[tex]W_{x}[/tex] = 10682 * sin 11°
[tex]W_{x}[/tex] = 10682 * 0.19
[tex]W_{x}[/tex] = 2029.58 N
N = [tex]W_{y}[/tex]
N = 10468.36 N
F[tex]_{k}[/tex] = μ[tex]_{k}[/tex] N
F[tex]_{k}[/tex] = 0.45 * 10468.36
F[tex]_{k}[/tex] = 4710.76 N
∑ [tex]F_{x}[/tex] = m a
[tex]W_{x}[/tex] - F[tex]_{k}[/tex] = m a
2029.58 - 4710.76 = 1090 * a
a = - 2681.18 / 1090
a = - 2.46 m / s²
Acceleration is negative because the car is decelerating in positive direction.
v² = u² + 2 a s
0 = 16² + ( 2 * - 2.46 * s )
4.92 s = 256
s = 52 m
Therefore, the distance the car travels down the hill is 52 m
To know more about kinetic friction
https://brainly.com/question/17237604
#SPJ1
If F =GMm/R2
What is the dimension of the stress?
What is the unit of frequency?
The dimension of stress is M1 L-1 T-2 and the unit of frequency is Hz.
What is the frequency?
The frequency with which something happens over a specific time frame or sample
Let us find out the dimension of stress.
Stress = Force/Area
Force = mass * acceleration
Stress= M * L * T-2/ L2
Therefore, Stress = M L-1 T-2
As for the second question,
The unit of frequency is Hz (Hertz)
Hence, the dimension of the stress = M L-1 T-2 and the unit of frequency is hertz.
To learn more about the stress dimensions concept Check the given link
https://brainly.com/question/26108464
#SPJ9
The carbon monoxide molecule (CO) consists of a carbon atom and an oxygen atoms separated by a distance of 1.13x10^-10 m, The mass mc of the carbon atom is 0.750 times the mass mo of the oxygen atom, or mc= -0.750mo , Determine the location of the center of the mass of this molecule relative to the carbon atom.
The location of the centre of the mass of the CO molecule relative to the carbon atom is 6.46 ×10⁻¹¹ m.
What is the centre of mass of the molecule?The Centre of Mass of that object is a position that is relative to an object or a system of objects. The average position of all parts of the system that are weighted to their masses is known as the Centre of Mass.
Given, the distance between the carbon and oxygen atoms, r = 1.13 ×10⁻¹⁰m.
The ratio of the mass of the carbon and oxygen:
Mc/Mo = 12/16 = 0.750
Consider that Xc is the position of carbon and Xo is the position of the oxygen atom in CO molecule.
The centre of the mass of the system is equal to the:
[tex]X_{co}=\frac{M_CX_C+M_OX_O}{M_C+M_O}[/tex]
[tex]X_{co}=\frac{(M_C/M_O)X_C+X_O}{M_C/M_O+1}[/tex]
As we are calculating the centre of the mass relative to the carbon atom.
Therefore Xc = 0 and Xo= 1.13 ×10⁻¹⁰m.
[tex]X_{CO} =\frac{1.13\times 10^{-10}}{0.750 +1}[/tex]
Xco = 6.46 ×10⁻¹¹ m
Learn more about the centre of mass, here:
https://brainly.com/question/17055505
#SPJ1
After being pushed away from the departure gate, an aircraft is standing still with the brakes applied and the engine running on very low. When the pilot releases the brakes he finds that the plane still does not start to move. Here are three explanations for why the plane does not move. Which one do you agree with?
Since he pilot releases the brakes and he finds that the plane still does not start to move, the explanation I agree with is option C:
When the pilot releases the brakes two forces act on it. The engines exert a force in one direction and the ground exerts a force on the wheels in the opposite direction. The plane does not move because the force exerted by the ground on the wheels is the same strength as the force of the engines.How do planes fly and stay in the air?The lift of the airplane is provided by the flow of air around the wings. Additionally, the wings' form contributes to lift. The airplane is being pulled toward Earth by weight. The weight of an airplane is distributed evenly from front to back during construction.
Note that the design of an airplane wing is intended to speed up airflow across the top of the wing. Air pressure decreases when it moves more quickly. Therefore, the pressure at the top of the wing is lower than that at the bottom. The pressure differential exerts a force on the wing, lifting it into the air.
Learn more about Airplanes from
https://brainly.com/question/928514
#SPJ1
See full question below
After being pushed away from the departure gate, an aircraft is standing still with the brakes applied and the engine running on very low. When the pilot releases the brakes he finds that the plane still does not start to move. Here are three explanations for why the plane does not move. Which one do you agree with?
A. When a single force that is too weak acts on an object it will not move. When the pilot releases the brakes the only force acting on the plane is that of the
engines but because this force is too weak, the plane will not move.
B. When the pilot releases the brakes two forces act on it. The engines exert a force in one direction and the ground exerts a force on the wheels in the opposite direction. The plane does not move because the force exerted by the ground on the wheels is stronger than the force of the engines.
C. When the pilot releases the brakes two forces act on it. The engines exert a force in one direction and the ground exerts a force on the wheels in the opposite direction. The plane does not move because the force exerted by the ground on the wheels is the same strength as the force of the engines.
Artificially produced radioactive isotopes are used in medicine and medical research.Question 1 options:TrueFalse
Artificial isotopes are usually absent by nature because of their unstables nature . The Isotopes usually transit into a stable Isotopes. This Isotopes are produced artificially by bombarding an atom.
Artificially radioactive Isotopes produced from stable Isotopes are used in medicine and medical research. Therefore, the answer is True.
A car of mass m = 1090 kg is traveling down a θ = 11 degree incline. When the car's speed is v0 = 16 m/s, a mechanical failure causes all four of its brakes to lock. The coefficient of kinetic friction between the tires and road is μk = 0.45.
Calculate the distance the car travels down the hill L in meters until it comes to a stop at the end.
The distance travelled by the car along the plane is 29.56 m.
What is the acceleration of the car down the incline?The acceleration of the car down the incline is calculated by applying Newton's second law of motion as shown below;
F - Ff = ma
where;
F is the applied force on the car = 0Ff is the frictional force acting on the car, trying to stop it m is the mass of the cara is the acceleration of the car down the inclinefrictional force acting on the car, Ff = μmg cosθ
0 - μmg cosθ = ma
-μmg cosθ = ma
-μg cosθ = a
where;
μ is coefficient of kinetic frictionθ is the angle of inclination of the planea = -(0.45 x 9.8 x cos11)
a = -4.33 m/s²
The distance travelled by the car along the plane is calculated as follows;
v² = u² + 2aL
where;
L is the length of the incline = distance travelled by the carv is the final velocity of the car when it stops = 0u is the initial velocity of the car = 16 m/sa is the acceleration of the car0 = (16²) + 2(-4.33)L
0 = 256 - 8.66L
8.66L = 256
L = 256/8.66
L = 29.56 m
Learn more about distance travelled here: https://brainly.com/question/2854969
#SPJ1
A ball is rolled uphill a distance of 5 meters before it slows, stops and begins to roll back. The ball rolls downhill 6 meters before coming to a rest against a tree. What is the ball's displacement?
We can calculate the displacement using the following formula:
[tex]\begin{gathered} \Delta x=x_f-x_i \\ Where: \\ x_f=Final_{\text{ }}position \\ x_i=Initial_{\text{ }}position \\ so: \\ \Delta x=6m-5m=1m \end{gathered}[/tex]Answer:
1 m
An electric jug with a power rating of 600W has been used for 6 hours. How many units of energy is used ?
Answer:
w=2160kJ
Explanation:
work=power × Time
w=pt
p=600W
t=60min×60sec=3600
w=600 × 3600
w=2160000joules(J)
w=2160kJ
rate as brainliest
why does air pressure decreases with height more rapidly in cold air than in warm air?
the colder air is more dense, then you would go through more mass (density) in a shorter vertical distance,
Explanation
Consider cold and warm air columns with equal weights, and equal amounts of overlying air.
Colder air is denser because the molecules of air are more closely packed together. As a result, pressure decreases more rapidly as you ascend through cold air than through warm air
It takes a shorter column of cold air to exert the same pressure as a taller column of warm air.
so,Since the colder air is more dense, then you would go through more mass (density) in a shorter vertical distance,
What happens when data stored digitally are copied?
OA. Each copy made has worse quality than the original data did.
B. Data are copied quickly, easily, and perfectly.
C. Only one value of the digital data is copied perfectly.
D. Data are copied quickly, but they decrease in quality.
When data stored digitally are copied then data are copied quickly, easily, and perfectly.
Data stored digitally are quickly, easily and perfectly copied.
There is no effect on the quality of the data.It just copies the data exactly as the source and it is same with any other file type. The quality would only decrease if the file is transcoded to a different format or to the same format with a different data stream.Data is a collection of quantities, photos or videos, signs or symbols, on which operations are performed by a computer, which can be stored and transmitted in the form of electrical signals and recorded on magnetic, optical or mechanical recording media.
When you copy (or transfer) a file of any type - JPG or TIFF or RTF or DOC or PSD or whatever, you won't lose any quality.Since no quality of the file is lost, copying a data is an easy, quick and a perfect process.
To know more about Data,
https://brainly.com/question/1427901
#SPJ1
For a equilibrium shown. There are two strings are strong enough to withstand a maximum tension of 80 n. what is the largest value of w they can support
The largest value of w (in N)that they can support as shown in equilibrium.
What is equilibrium?
a State of balance between opposing forces or actions that is either static as in nobody acted on by forces whose resultant is zero or dynamic reaction when the rates of reaction in both differentions are equal.
Sol- the total force in x direction is given as,
€Fx=0
T1 sin 37°=T2 sin 53°
100×3/5 =T/2 ×4/5
T2=75 N
The given total force is-
€Fy=0
T1 cos 37°=T2 cos 53°+W
W=80×4/5 -75×3/5
W=19N
Thus
The largest value of W is 19N.
To know more about equilibrium click-
https://brainly.com/question/517289
#SPJ9
A 2300-kg truck is traveling down a highway at 32 m/s. What is the kinetic energy of the truck?
ANSWER:
1177600 joules
STEP-BY-STEP EXPLANATION:
Given:
m = 2300 kg
v = 32 m/s
We can calculate the kinetic energy using the following formula:
[tex]E=\frac{1}{2}m\cdot v^2[/tex]Replacing:
[tex]\begin{gathered} E=\frac{1}{2}\cdot2300\cdot32^2 \\ E=1177600\text{ J} \end{gathered}[/tex]The kinetic energy of the truck is 1177600 joules.
Explain the flow of energy needed for the deer to eat.
Energy flow in an needed for the deer to eat starts at the sun which produces all the energy needed for life. Then comes the producers, the autotrophs(plants). These organisms harness the energy of the sun and convert it into sugars. Then deer which eat the autotrophs get the next most energy.
What is energy flow?One of the key components that enables the survival of such a large number of organisms is the energy flow within the ecosystem. Solar energy is the main source of energy for almost all living things on Earth.
It is interesting to learn that less than 50% of the sun's actual radiation reaches Earth. The radiation that plants can use to perform photosynthesis is the radiation that is considered to be effective.
Through the food chain and food web, energy is transferred. Being the energy producers, plants use their chloroplasts to absorb sunlight, part of which is converted into chemical energy during the process of photosynthesis.
Learn more about energy flow
https://brainly.com/question/11413927
#SPJ9
According to the Law of Effect, in which scenario is the behavior likely to be repeated as a result of the reward?
a
An employee is promised a bonus when he leaves his job for each quarter during which he has the most sales.
b
An employee is promised a bonus at the end of the year if he has the most sales for the first quarter.
c
An employee receives a bonus at the end of the quarter for having the most sales for
week one in the quarter.
d
An employee receives a bonus at the end of the week for having the most sales that week.
Answer:
D. An employee receives a bonus at the end of the week for having the most sales that week.
Explanation:
Took the test
2x6573858493.8404? please
Answer:
13,147,716,987.681
if you multiply 2 by 6573858493.8404, you get 13,147,716,987.681
Investigation Question: How do objects get energy?Claim 1: Objects make their own energy.Claim 2: Objects get energy from other objects that have energy.Pick one of the claims above and provide evidence and reasoning for why you believe it is correct.
Energy can neither be created nor destroyed. It can only be transferred from one object to another.
Claim 2 is correct.
Energy cannot be created or destroyed. So, objects can not make their own energy.
Energy can be transferred or transformed. Energy can be changed in many ways, such as conversion of kinetic energy into potential energy and vice-versa, when one object moves another object, etc.
For example, to lift an object against the gravity, work is done on the object. This work is converted in the form of potential energy, called as gravitational potential energy. When an object, say an apple falls towards Earth from a tree, gravitational potential energy is converted into kinetic energy.
Learn more about energy here,
https://brainly.com/question/5144470.
#SPJ1
the plastic spoon float because the upthrust is more than the weight of the metal spoon so the upthrust pulls it up to float. True OR False
The statement as it has been written in the question is false. This is because, the upthrust must be equal to the weight in order for the object to float.
What is the principle of floatation?The principle of floatation states that an object would float in water when the upthrust on the object is equal to the weight of the object. We know that the upthrust is the force that acts on an object thereby throwing it up. The weight is the force that tries to sink the object into the fluid.
Given the statements above, it is false that; the plastic spoon float because the upthrust is more than the weight of the metal spoon so the upthrust pulls it up to float.
Learn more about upthrust:https://brainly.com/question/24383048
#SPJ1
What is the speed at the bottom of the funnel?
We will have the following:
[tex]\begin{cases}I=r^2m \\ \\ L=I\omega \\ \\ \omega=v/r\end{cases}[/tex]So:
We will find the data we can with the given information:
[tex]\omega_1=\frac{0.3m/s}{0.2m}\Rightarrow\omega=\frac{1.5}{s}[/tex]Also:
[tex]I\omega_1=I\omega_2\Rightarrow\omega_1=\omega_2[/tex]So:
[tex]\frac{1.5}{s}=\frac{v}{0.03m}\Rightarrow v=0.045m/s[/tex]So, the velocity at the bottom of the funnel is 0.045m/s.
what is the formula of percentage uncertainty of volume, and percentage uncertainty of destiny، and percentage uncertainty of mass...
Take into account that for any repeated measurements, the formula of percentage uncertainty is given by the following formula:
[tex]\text{uncertainty}=\frac{half\text{ the range}}{Average\text{ reading}}\cdot100[/tex]Then, for the percentage uncertainty of density. mass and volume, just use the information about half the range and average reading for each magitude (volume, density and mass)
Consider that half the range is one half the subtraction between the maximum and minimum measurement:
[tex]\text{half the range=(max - min)/2}[/tex]An oscillator is used to create a wave on a string. The frequency of the oscillator is 4 Hz and the waves measures to be 0.5 m apart. What is the speed of the wave
Given,
Frequency of the wave, f=4 Hz
The wavelength of the wave, λ=0.5 m
The speed of a wave is given by,
[tex]v=f\lambda[/tex]On substituting the known values in the above equation,
[tex]v=4\times0.5=2\text{ m/s}[/tex]Therefore the speed of the standing wave produced is 2 m/s
How many hours would it take a plane to fly 1,500 miles if it was moving at a constant speed of 300 miles/hour. Include units!
Brainliest included
Maria is doing a report on Mathieu Orfila. What fact is she MOST likely to include in her report?
.
AHe solved the first crime that used medical evidence.
BHe studied fingerprints and started to classify them.
CHe was the first person to use bullet comparisons.
DHe explored how poisons affected animals.
??
Answer:
Its B
Explanation:
Answer:
She is most likely to include that he explored how poisons affected animals.
Explanation:
What does the top pressure gauge in (Figure 1) read? Express your answer using two significant figures.
Digital manometers can be used to measure liquids, gases, and air, depending on the device. If the instruments have an internal memory, it works quite well.
What does the top pressure gauge indicate?Pressure Gauge in Psig Pressure as a percentage of the surrounding atmospheric pressure. The gauge pressure for this kind of pressure includes the pressure from the weight of the atmosphere because it is zero-referenced against atmospheric pressure.
These gauges typically have a measurement range of 0… 1 mbar to 0… 600 mbar and an accuracy class of 0.1 to 2.5. Although pressure gauges typically require very minimal upkeep, problems can happen.
Therefore, This tool can be used to measure pressure in a variety of locations. Measurements of negative pressure, overpressure, and differential pressure are all possible.
Learn more about pressure gauge here:
https://brainly.com/question/29341536
#SPJ2