Force is positive if the mass accelerates downward. Use the formula T = M x A to determine the tension in the rope.
How is the force in a pulley system calculated?That direction is the pull that is referred to as tension. As a result, the tension will point toward the string or rope and away from the mass.
A mass suspended by a string is pulled upward by the string, exerting an upper force that shifts the tension to the upper side.
For instance, you should know that T = 9g x 2m/s2 = 18gm/s2 or 18N when trying to calculate T in a straightforward pulley system with a linked mass of 9g and an upward acceleration of 2m/s2 (newtons). The direction in which a string expands changes when it passes over an ideal massless pulley, but the string's tension is unaffected.
To learn more about pulley system refer to:
brainly.com/question/19923534
#SPJ4
Lab motion
Table E: Average Speeds for Higher Racetrack
Time (Initial) |Time (Final) |Elapsed |Time |Average speed
| | | |
(s) (s) (s) (m/s)
1st ¼ of the Track
-------------------------------------------------------------------------------------------------------
2nd ¼ of the Track
-------------------------------------------------------------------------------------------------------
3rd ¼ of the Track
-------------------------------------------------------------------------------------------------------
Final ¼ of the Track
-------------------------------------------------------------------------------------------------------
R is the radius of speed curvature of the turn, g is the acceleration due to gravity, and μs is the coefficient of static friction.
θ is the angle of banking. For no slippage to occur even when the contribution of the frictional force in the centripetal force is not considered, we ignore the effect of friction and get the Time. Well, if the radius must be a single measurement, then the turn will be perpendicular.
While you're gathering necessary data, there's a discrepancy in your Average speed. Unless there are also tighter or unbanked turns, it's difficult to imagine the average speed=cornering speed.
To know more about Speeds:
https://brainly.com/question/4931057
#SPJ4
An ideal gas expands through an adiabatic process. Which of the following statements is/are true?
a) The work done by the gas is negative, and heat must be added to the system.
b) The work done by the gas is positive, and no heat exchange occurs.
c) The internal energy of the system has increased.
d) The internal energy of the system has decreased.
The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.
An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.
learn more about work done here
https://brainly.com/question/12910764
#SPJ4
What is the acceleration when t 0?
The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Learn more about Acceleration:
brainly.com/question/21509870
#SPJ4
After the switch is closed, which plate of the capacitor eventually becomes positively charged?
O the top plate O the bottom plate O both plates O nelther plate because electrons are negatively charged
The correct option is A, After the switch is closed, the top plate of the capacitor eventually becomes positively charged.
A capacitor is a passive device that stores electrical energy in an electric field. It consists of two conducting plates separated by an insulating material such as air, paper, mica, ceramic, or plastic. When a voltage is applied across the two plates, the electric field created between them stores the energy in the form of an electrostatic potential.
When the voltage is removed, the charge stored in the capacitor is slowly discharged, releasing the energy. Capacitors are used in a wide range of applications, from power supplies and signal processing to motor control, filtering, and energy storage. They are also used to smooth out short-term fluctuations in voltage or current and are key components in many types of electronic circuits.
To learn more about Capacitor visit here:
brainly.com/question/12324415
#SPJ4
Assuming the acceleration is still -9.81 m/s2, what is the instantaneous velocity of the shuttlecock when it hits the ground
The acceleration is still -9.81 m/s2, and the instantaneous velocity of the shuttlecock when it hits the ground is [tex]V_{int}[/tex] = [tex]\sqrt{U^{2} + 19.6H }[/tex]
Acceleration is determined as the rate of change of velocity of an object with respect to time. Acceleration is represented by the SI unit is meter per second squared (m/[tex]s^{2}[/tex]). Acceleration is denoted by "a".
Instantaneous velocity is the rate of change of position for a time interval which is almost zero (very small). The magnitude of the instantaneous velocity is instantaneous speed. It is measured by using SI unit m/s.
Mathematically, the equation for acceleration is:
a = [tex]v\frac{dv}{dt}[/tex]
ah = [tex]v^{2}[/tex] - [tex]u^{2}[/tex]
Where the acceleration is still -9.81 m/s2
Hence, [tex]v^{2}[/tex] - [tex]u^{2}[/tex] = 2 (-9.81) * -H
Therefore, [tex]v_{int}[/tex] = [tex]\sqrt{U^{2} + 19.6H }[/tex]
To know more about acceleration here
https://brainly.com/question/12550364
#SPJ4
Please help! 50 points.
A student conducts an experiment to test how the temperature affects the amount of salt that can dissolve in water. In the experiment, she uses 150 milliliters of water in each trial and stirs for five minutes each time.
What is the dependent variable in this experiment?
the temperature of the water
the amount of water
the amount of salt
the time stirred
Answer:
i think its time stirred, double check. i hope it helped ;)
Explanation:
If the impact of the golf club on the ball in the previous question occurs over a time of 2 x 10^-3 seconds, what force does the ball experience to accelerate from rest to 73 m/s
The force experienced by the ball to get accelerated was found to be 3.65.
What exactly does acceleration means ?The rate of change in velocity is defined as acceleration. The magnitude of acceleration at every point along a trajectory is provided by the rate of change of velocity in both magnitude and direction at that location. The real acceleration at time t is determined in the limit as a time interval.
Time = 20s
The initial velocity is 0m/s.
Final speed = 73m/s
Unknown: Experience with forcing the ball =?
To answer this problem, we use Newton's second law of motion's equation:
formula for force was :
F=ma
The mass is denoted by m.
The final velocity is denoted by v.
The starting velocity is denoted by u.
It is the amount of time spent
So;
F = m (v - u / t)
F = m (73-0/20)
= 3.65 times mass
To learn more about acceleration follow the given link: brainly.com/question/27973611
#SPJ4
When a car has a dead battery, it can often be started by connecting the battery from another car across its terminals. The positive terminals are connected together as are the negative terminals. The connection is illustrated in Fig. P1.15. Assume the current i in Fig. P1.15 is measured and found to be 30A. a) Which car has the dead battery? b) If this connection is maintained for 1 min, how much energy is transferred to the dead battery?
Explanation:
convert 1= 30 amp
which Car has the dead
battery ?
CarA
Car B
Ams => The Current i flows into the of the Battery of Qax A.
Posithe terminal
So. By using Passinge sign Convention.
Power P₁ = Vi = 12X 30
PA = 360 Watt (the)
=>Power is Positive So Car Ahabsorbing So now we can say car A has dead battery.
Power,
Connection is maintained for t = 1 min. Energy toonsffered to the dead battery
=> we know w(t) = Work = Emergy t S. Pdt fo W (1 = imin) = 360 dt
t = 60 sec = 1 min.
36. (t), 60
360 X60
|w[t=1mm) = 21.60 *Jure.
A new planet is discovered with a radius that is 1/2 the radius of earth and 1/2 the mass of the earth. What is the acceleration due to gravity on this planet?
The acceleration due to gravity on this planet is 19.6 m/s².
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration of all other motions.
What is gravity?
In mechanics, gravity also known as gravitation is the constant force of attraction that pulls all things together. It has little impact on determining the intrinsic characteristics of common stuff because it is by far the weakest known force in nature.
Calculation:
The acceleration due to gravity on the earth's surface is given by
g = [tex]\frac{GM}{R^{2} }[/tex]
Now, Mp = [tex]\frac{M}{2}[/tex], Rp = [tex]\frac{R}{2}[/tex]
The acceleration due to gravity on the new planet is:
[tex]g_{p}[/tex] = [tex]\frac{GM_{p} }{R_{p} ^{2} }[/tex] = [tex]\frac{GM/2}{R^{2} /4^{} }[/tex] = 2g
[tex]g_{p}[/tex] = 2 × 9.8 = 19.6 m/s².
To know more about acceleration, check out:
https://brainly.com/question/460763
#SPJ1
A car moves in a straight line at 20.0 m/s for 8.00 miles, then at 30.0 m/s for another 8.00 miles. a. Is the car's average speed less than, greater than, or equal to 25.0 m/s
The average speed of the car is 24 m/s. The average speed of the car is therefore below 25.0 m/s.
What is speed ?The description of rapidity. a change in the location of an object in either direction or speed. How fast something is going is determined by the distance travelled and the time required to cover that distance. Speed is a scalar quantity since it just has an arrow-like direction and no magnitude.
What is distance ?The entire movement of an item, independent of direction, is called distance. Distance may be characterized as the quantity of ground covered, regardless of the starting or finishing points of an item.
distance (d) = 9 miles = 14.4841 km
d = 14484.1 m
1 miles = 1609.34 m
t₁= 14484.1/ 20
= 724.2 sec
t₂= 14484.1/ 30= 482.8 sec
total time ( t) = t+t
t= 724.2+ 482.8 = 1207 sec
Vavg = 2d/t= 2*14484.1/1207
Vavg = 24m/s
24< 25
lessthan 25m/s
car average speed (Vavg) = 24 m/s.
Therefore, the car average speed is 24 m/s.
Learn more about Speed from the given link.
https://brainly.com/question/13262646
#SPJ4
what is the upward acceleratiob of a helicopter with a mass of 5250 kg if a force of 11000 N acts upon it
Answer:
[tex]2.09 m/s^{2}[/tex]
Explanation:
The upward acceleration of an object can be calculated using the formula:
[tex]a = F / m[/tex]
where:
a is the acceleration of the object (in meters per second squared)
F is the force acting on the object (in newtons)
m is the mass of the object (in kilograms)
So in this case, we have:
[tex]a = 11000 N / 5250 kg = 2.09 m/s^2[/tex]
This is the upward acceleration of the helicopter when a force of 11000 N is acting on it.
What is a pivot arm lever?
The forearm serves as the lever arm, while the elbow serves as the pivot. In spite of the forearm's weight and whatever additional weight the hand may be bearing, the biceps muscle exerts the force and bends the forearm. Compared to the effort, the weight is further from the pivot.
A moving bar that pivots on a fulcrum fastened to a fixed point is the lever. The lever works by exerting forces at various angles in relation to the pivot or fulcrum. Ones farther from this pivot move more quickly than points closer to it when the lever revolves around the fulcrum.
A moving bar that pivots on a fulcrum fastened to a fixed point is the lever. The lever works by exerting forces at various angles in relation to the pivot or fulcrum. Ones farther from this pivot move more quickly than points closer to it when the lever revolves around the fulcrum.
For such more question on Pivoted.
https://brainly.com/question/21497963
#SPJ4
How many grams are in 268.0 mg
0.268 because grams are 1000 times bigger than mg
1 milligram = 0.001 grams
268.0mg * 0.001g
[tex]=\fbox{0.268 grams}[/tex]
A 40 kg boy dives horizontally off a 600 kg raft. If the boy's speed at the moment he is leaving the raft is 4.0 m/s, what is the raft's speed
A boy weighing 40 kg jumps off a 600 kg raft horizontally. If the youngster is leaving the raft at a velocity of 4.0 m/s, the raft will be moving at a speed of 0.26 m/s.
The conservation of linear momentum is a general law of physics that states that no single item, or system of objects, experiences a change in the quantity called momentum that describes motion. Momentum is the force needed to stop an item moving at a certain speed in a given amount of time. It is calculated by multiplying an object's mass by its velocity.
Given,
mass of the boy (m₁) = 40 kg
mass of the raft (m₂) = 600 kg
speed of the boy (u₁) = 4 m/s
We have to find out the speed of the raft (u₂)
By conservation of linear momentum, We get
m₁u₁ = m₂u₂
⇒ u₂ = (m₁ ₓ u₁)/m₂
⇒ u₂ = (40*4)/600
⇒ u₂ = 0.26 m/s
Learn more about Velocity:
brainly.com/question/18084516
#SPJ4
1
Glucose provides energy for cells. Different cells have different mechanisms for glucose intake. Intestinal cells contain proteins that transport glucose against its concentration gradient. These proteins couple the movement of glucose to the movement of sodium down its concentration gradient. Red blood cells have transporter proteins embedded in their membranes. When bound by a glucose molecule, these proteins change shape and allow glucose to move down its concentration gradient into the cell.
Based on this information, what type of transport is used for glucose in blood and intestinal cells?
A.
Both blood and intestinal cells take in glucose by passive transport.
B.
Blood cells take in glucose by passive transport and intestinal cells take in glucose by active transport.
C.
Both blood and intestinal cells take in glucose by active transport.
D.
Blood cells take in glucose by active transport and intestinal cells take in glucose by passive transport.
Answer:
C. In the passage, it seems that both of the cells have the same job, so I would go with C.
a log with a mass of 14 kg is suspended by two ropes, one at either end. What is the tension force in each rope
According to the given statement The tension force in each rope is T = 14g/2Sin N, according to the information provided.
What is tension force ?Tension is the force that is transmitted through a cable, rope, or wires when it is stretched by loads exerted from opposing sides. The bodies are put through an identical degree of strain at each end of the wire by the tension force, which is exerted all along entire of the wire's length.
Let the tension in each rope be T₁ & T₂
Also, T₁ = T₂ = T
T₁ Sinθ + T₂ Sinθ = mg
2T Sinθ = mg
2T Sinθ = 14g
T = 14g/2Sinθ
To Learn more about Tension force from the given link.
brainly.com/question/2008782
#SPJ4
For the circuit shown in the figure, what is the current through resistor R1? A) 0.071 A
B) 0.13 A
C) 0.029 A
D) 0.016 A
For the circuit shown in the figure, 0.071 A is the current through resistor R1.
What is circuit ?
Circuit is an electrical network consisting of interconnected components that allow electricity to flow through it. It is used to control, regulate, and direct the flow of electricity in order to perform a specific task. A circuit is composed of wires, resistors, transistors, capacitors, and other components which are connected together in order to form a complete system. This system can be used to control a variety of electrical devices, such as lights, motors, and computers. Circuits can be used to create a wide range of applications, from simple household appliances to complex industrial machines.
The current through R1 can be calculated using Ohm's Law:
I = V/R = (9V)/(120Ω) = 0.075 A
Therefore, the answer is A) 0.071 A.
To learn about more circuit
https://brainly.com/question/26064065
#SPJ4
On a day with complete cloud cover, what happens to the visible light headed toward Earth?
(a) The clouds reflect much of it back to space, though some still reaches the surface.
(b) It is absorbed by the clouds, which causes the clouds to heat up.
(c) It reaches the surface just as it does on a cloudless day.
On a day with complete cloud cover, the visible light headed toward Earth: The clouds reflect much of it back to space, though some still reaches the surface.
When the sun shines, the Earth's atmosphere scatters it in all directions. This is why certain sections of the Earth appear brighter than others during the day—the Sun's light has been reflected off of the ground and other objects. When the planet is completely clouded over, no light reaches Earth at all. The term "nowhere" refers to the fact that there is no such thing as a sunrise since there is no such thing as a dawn. On a cloudy day, visible light directed toward the earth is misdirected and darkened by the clouds. This is due to the fact that shorter wavelengths of visible light scatter more than longer wavelengths. Rayleigh scattering is the name given to this phenomena.
We can learn more about Rayleigh scattering here:
https://brainly.com/question/26851124#
#SPJ4
How much would you have to pay SP Services if you
used two 40 W lamps and a 120 W television for 5 hour a
day for the month of April? (Assume the cost of 1 kWh
of energy to be 16 cents).
Answer:
$4.80
Explanation:
Total energy used is found with this formula:
[tex]E = Pt[/tex]
where:
[tex]E[/tex] is energy (in kilowatt-hours)
[tex]P\\[/tex] is power ( in Kilowatts)
[tex]t[/tex] is time ( in Hours)
We can find the total power consumption by adding all the appliances, then dividing by 1000 to convert it from Watts to Kilowatts:
[tex]\frac{(40*2)+120}{1000} =0.2kW[/tex]
And then find [tex]E[/tex] with 5 hours a day for 30 days:
[tex]E= 0.2*(5*30)=30kWh[/tex]
Thus, cost needed would be:
$0.16 × 30 = $4.80
The Humber Bridge in England has the world's longest single span, 1410 m. Calculate the change in length of the steel deck of the span when the temperature increases from -5.0 degree C to 18.0 degree C.
Assuming the steel deck has a coefficient of linear thermal expansion of 12 x 10-6 m/m/°C, the change in length of the steel deck of the span when the temperature increases from -5.0 degree C to 18.0 degree C is 2.16 m. (1410 m x 12 x 10-6 m/m/°C x 23°C = 2.16 m)
Steel is an alloy made of iron and other elements, and is one of the most widely used materials in the world. Steel structures such as bridges are subject to changes in size and shape due to changes in temperature. When steel is exposed to temperatures higher than 0°C, it expands, and when it is exposed to temperatures lower than 0°C, it contracts.
The coefficient of linear thermal expansion is the rate at which the length of an object changes with temperature. This coefficient can vary depending on the type of steel and other factors. For the Humber Bridge, the steel deck of the span has a coefficient of linear thermal expansion of 12 x 10-6 m/m/°C. Therefore, when the temperature increases from -5.0°C to 18.0°C, the steel deck of the span will expand by 2.16 m.
To know more about linear thermal expansion refer to the link brainly.com/question/28232487
#SPJ4
A construction worker drops a 1.9 kg hammer from a roof that is 6.25 m high. What is the velocity of the hammer when it strikes the ground?
The velocity of the hammer of mass 1.9 kg is 11.07 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the hammer, we use the formula below.
Formula:
v = √2gh................... Equation 1Where:
v = Velocity of the hammerg = Acceleration due to gravity = 9.8 m/s²h = Height of the roof = 6.25 mSubstitute these values into equation 1
v = √(2×9.8×6.25)v = √122.5v = 11.07 m/sLearn more about velocity here: https://brainly.com/question/24445340
#SPJ1
Try to identify the following based on their description by a field geologist: A geologist found this sample to have an extremely shiny appearance, which was determined to be a bright silvery gray metallic. This sample is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.
This sample tends to break into cubes and is not extremely hard, perhaps just slightly harder than or as hard as a fingernail.
What is meant by sample?In contrast to the statistical definition, which refers to a collection of such values, a sample is a value of the signal at a particular moment in time and/or location.The number of samples per second (or per other unit) taken from a continuous signal to create a discrete or digital signal is known as the sampling rate or sampling frequency. A sample is a portion of continuous time-domain data that has been taken from the entire dataset. When a source produces an analog signal, the signal must be discretized in time if it is to be converted to a digital signal consisting of 1s and 0s, or High or Low. Sampling is the term used to describe this discretization of the analog stream.To learn more about sample refer to:
https://brainly.com/question/24517831
#SPJ4
Galena is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.
What is the use of the mineral galena?The main source of lead is galena, which is frequently mined for its silver content. In ceramic glaze, it can serve as a source of lead.
Where can one find galena?Galena was designated as Missouri's official mineral in 1967. The Joplin-Granby region in southwest Missouri, which is a part of the Tri-State Mining District, saw a boom in galena mining. Crawford, Washington, Iron, and Reynolds Counties all have rich deposits.
Galena is it light or heavy?Galena is lead sulfide with a specific gravity of 7.4 to 7.6 and a Moh's hardness of 2.5, making it actually rather soft. However, it is VERY heavy. It weighs roughly 700 pounds per cubic foot, for comparison.
To know more about minerals visit:
https://brainly.com/question/15844293
#SPJ4
A child whirls a ball at the end of a rope, in a uniform circular motion. Which of the following 19. statements is NOT true? (A) The radius of the circle remains constant the entire time the ball is moving in a circular path. (B) The direction of the tension exerted by the string on the ball is directed towards the center of the Cular path. The magnitude of the ball's acceleration is directly proportional to the length of the string. The velocity of the ball is constant the entire time the ball is moving in a circular path.
The velocity of the ball is constant the entire time the ball is moving in a circular path at the end of a rope, in a uniform circular motion.
Hence, Option D is correct.
A particular kind of motion in which an object moves in a circle at a fixed speed is known as uniform circular motion. Any point on a propeller, for instance, that is rotating at a consistent speed is doing uniform circular motion. Other examples include the watch's second, minute, and hour hands.Because velocity depends on the direction of travel, and in circular motion the object's direction changes at each point, for a body moving in uniform circular motion, the speed the object reaches will remain constant, not the velocity. Acceleration will remain constant as long as speed doesn't change.To know more about Circular motion here
https://brainly.com/question/28503060
#SPJ4
During a walk-around inspection, ensure there are no cracks on the brake drums that are more than ____ of the width of the friction area.
It's crucial to inspect the brake drums as part of your walk-around examination before setting off on a journey. If any brake drum has a crack that is more than half the breadth of the friction region.
What causes brake drums to crack?Overheating and undercooling of the brake pedal during operation might result in cracked drums.
What should you do if the brake drum develops a crack?Drums with cracks need to be changed right away. Blue ground -High temperatures, braking imbalance, abrupt stops, dragging brakes, or glazed brake pads can all result in blue drums. If no cracks have appeared, blue drums can still be utilized.
To know more about brake drums visit:
brainly.com/question/20895055
#SPJ4
The resistor in an RC circuit (a circuit where a resistor and a capacitor are connected in series) has a resistance of 145 ohm.
A circuit with a series connection between a resistor and a capacitor.
What is meant by capacitor?An electrostatic field of stored energy can be found in passive electronic components called capacitors. A capacitor is made up of two conducting plates that are separated from one another by a substance known as the dielectric.A capacitor is an electrical component with two terminals that has the ability to store energy in the form of an electric charge. Two electrical cables are used, and they are spaced apart. Vacuum or an insulating substance known as a dielectric can fill the gap between the conductors. To keep the voltage at a specific level, capacitors are also employed. The voltage pulsation can be lessened by using them.
To learn more about capacitor refer to:
https://brainly.com/question/21851402
#SPJ4
Why does temperature have no effect on mass?
The amount of matter present is simply referred to as mass. As a result, temperature change has no direct effect on mass since the amount of matter present remains constant regardless of temperature. The mass of a material in a given volume is defined as its density.
Temperature is a physical measure that quantifies our feelings of hotness and coolness. A thermometer is used to measure temperature.
Thermometers are calibrated in a variety of temperature scales that have traditionally been defined by various reference points and thermometric substances.
The most prevalent scales are the Celsius scale (previously known as centigrade), the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being used mostly for scientific reasons. The kelvin is one of the International System of Units' seven basic units (SI).
Learn more about temperature to visit this link
https://brainly.com/question/11464844
#SPJ4
A mosquito runs head-on into a truck. Splat! Which is true during the collision? A. The mosquito exerts more force on the truck than the truck exerts on the mosquito. B. The truck exerts more force on the mosquito than the mosquito exerts on the truck. C. The mosquito exerts the same force on the truck as the truck exerts on the mosquito. D. The truck exerts a force on the mosquito but the mosquito does not exert a force on the truck. E. The mosquito exerts a force on the truck but the truck does not exert a force on the mosquito.
The truck exerts more force on the mosquito than the mosquito exerts on the truck is true during the collision.
What is the exerts?
Exerts is a term used to describe a passage or an extract taken from a larger piece of writing. Exerts are often used to showcase a specific part of a work and can be used to highlight the most important or influential passages. Exerts can be used to support or illustrate an argument, and can be used to provide evidence for a point that is being made. Exerts are often found in essays, scholarly articles, and other forms of writing, and are a useful tool for authors to draw attention to certain points or ideas.
To learn more about exerts
https://brainly.com/question/17140804
#SPJ4
Two friends A and B started at different times and covered 30km as shown in the graph.
Identify the correct statement from the following.
option 1 - A and B move with the same speed
option 2 - B moves with non-uniform speed
option 3 - A completes his journey early
option 4 - B overtakes A at 11:10 a.m.
Answer:
Explanation:
option 1 - A and B move with the same speed INCORRECT because the lines have different slopes
option 2 - B moves with non-uniform speed INCORRECT because the line for B is straight
option 3 - A completes his journey early INCORRECT because A ends his journey at about 11:45 after going about 42 km. B finishes his journey at about 11:35.
option 4 - B overtakes A at 11:10 a.m. CORRECT. They meet at the 30 km mark at 11:10, which is where the lines intersect.
A nylon rope used by mountaineers elongates 1.10 m under
the weight of an 65.0-kg climber.
If the rope is 45.0 m in length and 7.0 mm in diameter, what is
Young’s modulus for this material? (Express your answer using two
significant figures).
The value of Young's modulus will be 6.78*10^8 N/m^2
Linear elastic solid materials have a mechanical characteristic called Young's modulus (Y), which is also referred to as the elastic modulus. It explains how strain (proportional deformation) and stress (force per unit area) interact with one another in a material.
The stiffness of a solid or its resistance to elastic deformation under stress is measured by the Young's modulus (E or Y). It connects strain (proportional deformation) along an axis or line to stress (force per unit area).
Given elongation delta L=1.10 m
Mass of A=65.0 kg,
L=45.0 m
D=7 mm
radius = r=7/2=3.5 mm
Since we know the Young's Modulus (Y) Can be defines as [tex]Y=\frac{\text { stress }}{\text { strain }}=\frac{\mathrm{F} / \mathrm{A}}{\Delta l / L}[/tex]
Now, (4/{L)=(1.10 m/45.0 m)=0.0244
[tex]\begin{aligned}\ \frac{F}{A}=\frac{M g}{A} & =\frac{65 \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{\pi r^2} \\& =\frac{65 \mathrm{~g} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{3.14 \times\left(3.5 \times 10^{-3}\right)^2} \\& =\frac{65 \times 9.8}{3.14 \times 12.25 \times 10^{-6}} \mathrm{~N} / \mathrm{m}^2 \\& =\frac{637}{38.465} \times 10^6 \mathrm{~N} / \mathrm{m}^2 \\\frac{F}{A} & =16.56 \times 10^6 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]
Therefore, the value of Young's modulus will be
[tex]$$\begin{aligned}& Y=\frac{F / A}{\Delta l / L}=\frac{16.56 \times 10^{-6} \mathrm{~N} / \mathrm{m}^2}{0.0244}=\left(678.688 \times 10^6\right) \mathrm{N} / \mathrm{m}^2 \\& Y=6.78 \times 10^8 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]
For more questions on Young's modulus
https://brainly.com/question/28757637
#SPJ4
Suppose you have a light spring stretched out and one end is attached to a wall. With this setup, you can move the free end in any of three directions (x,y, z). The spring lies along the z axis.
Which type of wave do you create when you move the free end along the z axis?
Which type of wave do you create when you move the free end along the x axis?
Which type of wave do you create when you move the free end along the y axis?
CHoose one for each.
transverse
longitudinal
When you move a stretched out light spring one end attached to a wall lying in z-axis along z-axis, you get a longitudinal wave and when along x-axis or y-axis, you get a transverse wave.
When you move the free end of the spring along the z axis (the axis along which the spring is stretched), you create a longitudinal wave. This is because the displacement of the spring particles is in the same direction as the direction of wave propagation.
When you move the free end of the spring along the x axis, you create a transverse wave. This is because the displacement of the spring particles is perpendicular to the direction of wave propagation.
When you move the free end of the spring along the y axis, you create a transverse wave. Similarly to x axis, the displacement of the spring particles is perpendicular to the direction of wave propagation.
To know more on longitudinal and transverse wave
https://brainly.com/question/2568525
#SPJ4