The y-component of the vector with an x- component of 4.6m and magnitude of 13.7 m would be 12.9 m
The length of a vector, denoted by the notation |v|, can be determined by using the magnitude of a vector formula, which is used to compute the magnitude of the vector itself. This value effectively measures the length that must be traveled from the vector's starting point to its ending position. The formula to determine the magnitude of a vector (in two dimensional spaces):
v = (x, y) is: |v| =√(x2 + y2)
In this case, we have:
Magnitude (v) = 13.7
x-component (x) = 4.6
Thus, the y-component of the vector would be:
|v| =√(x2 + y2).
13.7 = √(4.62 + y2)
y2 = 166.53
y = 12.9
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which conversion ratio would convert a measurement in millimeters to a value expressed in meters?
The following conversion factor is used to convert between millimeters and meters: footnote size rm "1 millimeter is one thousandth of a meter, or 0.001 m." 1/1000 of a meter is one millimeter, or 0.001 m.
It is typically applied to measure an object's length or to express the distance between two places.
The units of meter, centimetre, millimeter, and inch are used to measure the length of any object. Thousandth of a metre is what the word millimetre signifies. To further appreciate the idea, let's study more about this metric unit, the conversions, and work through a few examples.
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are the observations explained by saying that the nail only contains one type of charge? _________________________________________________________________________________[1]
The nail is only temporarily charged positively/negatively since its initial state was neutral, but itcan only have one type of charge at a time.
Negatively charged things and neutral objects pull toward one another, as do positively charged objects and neutral objects. Physics instructors frequently illustrate this third interaction between charged and neutral objects, and students often have the opportunity to participate in such activities in the lab. While charging through conduction, both objects acquire the same kind of charge. When a neutral object is charged with a negative charge, both charged objects become negatively charged. A body is considered to have a negative charge if it contains more electrons than protons. A body, on the other hand, is considered to have a positive charge if it has more protons than electrons.
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What would be true of a thermometer that always reads three degrees off?
a. It is valid but not reliable.
b. It is both reliable and valid.
c. It is neither reliable nor valid.
d. It is not valid, but you cannot determine if it is reliable from the information given.
e. It is reliable but not valid
A thermometer that always reads three degrees off, is reliable but not valid.
Reliability of a measuring instrument refers to the consistency of the measurement. It always give the same reading for the same temperature, however it is not correct as it is reads three degrees off. So we can say it is reliable, we can use it by calibrating it.
On the other hand it is not valid, as it gives the incorrect value of the temperature by reading the three degrees off. It does not give the reading that is suppose to. So it is not valid, or we can say the reading of this thermometer is not valid. Hence the correct option is E.
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marathon runner keep track of speed using units of pace - minutes/mile. olivia has a pace of 7 min/mile what is her speed in feet/ sec
The answer is 5280 / (9)(60) ft/sec. An intermediate runner should be able to finish a 1 km run in 7-8 minutes. For more seasoned runners, finishing 1 km in 6 minutes or less is a decent speed per kilometre.
Comparisons of Pace and Distance less than 4:21 minutes per kilometre (7 minute mile). If your goal is to complete a marathon in five hours or less, you should pace your run at an average of about 11:26 minutes per mile or 7:06 minutes per kilometer. The pace for a 9-minute mile is 5.35 minutes per kilometer, or around 6.7 miles per hour or 10.7 kilometers per hour; it should feel like a quick jog.
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an acceleration vector has components of 17 m/s2 eastward and 23.5 m/s2 southward. what is the magnitude of the vector?
The magnitude of the vector of an acceleration vector has components of 17 m/s2 eastward and 23.5 m/s2 southward is 29.0 m/s².
Acceleration is the measure of how quickly an object's velocity changes with relation to time. Accelerations are vector quantities since they have both a magnitude and a direction. The direction of an object's acceleration is determined by the direction of the net force acting on it. Newton's Second Law states that the combined effect of two factors determines how much an item accelerates:
The size of the net balance of all external forces acting on the object is, in accordance with the materials used
to create it, inversely proportional to its mass, And the magnitude of resulting force is directly proportional to net force.
From the given data,
A1 = 17 m/s²
A2 = 23.5 m/s²
magnitude = |A|
To calculate the magnitude of the vector,
|A|² =(A1)² + (A2)²
|A|² = (17 m/s²)² + (23.5 m/s²)²
|A|²= 841.25 m/s²
|A| = 29.0 m/s²
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Students want to design an experiment to study gravity. They decide they will drop four objects with the same mass from the top of their school’s bleachers. They will time how long each object takes to reach the ground. How can they improve confidence in the experiment’s results?
A. Let a different student time the drop of each object.
B. Randomly select the order in which the objects are dropped.
C. Drop each object 10 times and use the average of each object’s fall times.
D. Drop all four objects at once.
Answer: Drop each object 10 times and use the average of each object’s fall times
Explanation: Drop each object 10 times and use the average of each object’s fall times
Answer:
(Question) Melissa is working on the roof of her house. She drops a hammer and a nail. Why do both objects hit the ground at the same time?
(Answer) Earth’s gravity causes both objects to fall at the same rate.
(Question) Which of the following statements about gravitational mass is true?
(Answer) Gravitational acceleration is irrespective of mass.
(Question) Two objects fall from an apartment window sill at the same time. Object 1 lands on the sidewalk in 3.6 seconds. Object 2 lands on the sidewalk in 3.3 seconds. What can be concluded about the objects?
(Answer) Object 1 has more surface area than Object 2
(Question) A company uses drones to fly food to people in regions that have experienced natural disasters. The food is packed in boxes that are attached to parachutes. How can the company change the design of its parachute to reduce the number of boxes that are damaged when they hit the ground?
(Answer) The company can design a parachute with more surface area
(Question) Students want to design an experiment to study gravity. They decide they will drop four objects with the same mass from the top of their school’s bleachers. They will time how long each object takes to reach the ground. How can they improve confidence in the experiment’s results?
(Answer) Drop each object 10 times and use the average of each object’s fall times
Explanation:
I just finished the quick check UwU
the voltage of a 100-kw, 250-volt shunt generator rises to 260 volts when the load is removed. what is the full-load current does the machine deliver, and what is its percent regulation?
The full load current is calculated to be 400 A and the percentage regulation is calculated to be 4 %.
The power of a generator is given as 100 kW.
The voltage of the generator when there is full load is 250 V (v fl).
The voltage of the generator when load is removed is 260 V (v nl).
We know the expression for load current as,
Load current = Power/Voltage = (100 × 10³)/250 = 400 A
The percentage rise in the terminal voltage of the generator when the generator load is removed is given by,
% Voltage regulation = (v nl - v fl)/v fl × 100 = (260 - 250)/250 × 100 = 4 %
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Point charges q1 = 41 µC and q2 = −17 µC are placed 2.5 m apart. Where must q3 = 23 µC be placed (on the x-axis, in m) so that the net force on it is zero? (Assume that q1 is at x = 0 and q2 is at x = 2.5 m.)x = ________ m
The net amount of electricity being used in Q3 is zero.
SO\sF13 + F23
KQ1Q3/=KQ2Q3/(X-2.5)
2\sQ1/X2=Q2/(X2-2.5)
2\s41/X2=17/(X-2.5)2
We obtain X = 7.02 m by solving the equation above.
The charge must be placed 0.859 m distant from the negative charge on the side that faces the positive charge.
Between the charges, at a distance of 0.141 m from the 5.00 C charge The distance between the charges from the 3.0 C charge can also be represented as 0.109 m. Because of this, the electric field at a location is discontinuous if there is a charge there and continuous if there isn't.
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B
Vo = 30 m/s
m = 0.150 kg
Calvin
catches the
ball
According to his second law, a force is defined as the change in momentum (mass times velocity) per change in time.Force is equal to 0.15 x 9.8 x 1.47 Newton.
Find the solution ?According to his second law, a force is defined as the change in momentum (mass times velocity) per change in time.
The mass m of an object times its velocity V is how momentum is calculated.
One of the most crucial principles of physics is Newton's second law.
For a body whose mass m is fixed, the equation F = ma can be used, where F (for force) and a (for acceleration) are both vector values.
A body is accelerated according to the equation if it is subject to a net force.
The only force acting on the ball will be gravity because we are ignoring air resistance.
Newton's second rule states that F = ma, where m is the ball's mass (0.15 kg) and an is the acceleration due to gravity (9.8 m/sec2).
To obtain the force, substitute:Force is equal to 0.15 x 9.8 x 1.47 Newton.
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if a car is moving at 60 mph, how fast is the tire spinning phsyics
If a car is moving at 60 mph, 361 RPM as fast the tire spinning if the diameter of the wheel is 80 cm.
To find the speed of the spinning tire, you need to convert the car speed from mph to a linear velocity (units of length per time), and then divide by the wheel's circumference.
First, convert the wheel diameter from cm to inches: 80 cm x 0.3937 inches/cm = 31.5 inches
Next, calculate the wheel's circumference: C = π x D = 3.14 x 31.5 inches = 99 inches
Now convert 60 mph to inches per minute: 60 mph x 5280 ft/mile x 12 inches/ft = 35,840 inches/minute
Finally, divide the linear velocity by the wheel's circumference to find the tire speed in RPM: 35,840 inches/minute / 99 inches = 361.64 RPM.
So the tire is spinning at approximately 361 RPM.
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If a car is moving at 60 mph, how fast is the tire spinning if the diameter of the wheel is 80 cm?
a motorcyclist initially traveling at 70 m/s accelerates at a constant acceleration to a speed of 130 m/s in 10 seconds. how far did he travel?
Answer:
a motorcyclist initially traveling at 70 m/s accelerates at a constant acceleration to a speed of 130 m/s in 10 seconds. how far did he travel?
Explanation:
a motorcyclist initially traveling at 70 m/s accelerates at a constant acceleration to a speed of 130 m/s in 10 seconds. how far did he travel?
Question: Consider three spheres all caring charge Q uniformly distributed over the volume. Sphere #1 is of radius R/2; Sphere #2 is of radius R; sphere #3 is of radius 2R. 1. Rank electric field created by these spheres at distance R/2 from the center, greatest first: a. 1; 2; 3 b. 3; 2; 1 c. 2; 1;3 d. 1=2; 3 e. Electric field is the same for all. Rank electric field created by these spheres at distance R from the center, greatest first: a. 1; 2; 3 b. 3; 2; 1 c. 2; 1;3 d. 1=2; 3 e. Electric field is the same for all. 3. Rank electric field created by these spheres at distance 2R from the center, greatest first: a. 1; 2; 3 b. 3; 2; 1 c. 2; 1;3 d. 1=2; 3 e. Electric field is the same for all.
The electric field formed by a charged sphere at a distance R/2 from the center is proportional to the charge on the sphere and inversely proportional to the square of the radius of the sphere.
As a result, at R/2 distance from the center, the electric field produced by sphere #1 (of radius R/2) will be bigger than the electric field produced by sphere #2 (of radius R), which will be greater than the electric field produced by sphere #3. (of radius 2R). As a result, the correct answer is: b. 3; 2; 1 The electric field formed by a charged sphere at a distance R from the center is proportional to the charge on the sphere and inversely proportional to the square of the radius of the sphere. As a result, at distance R from the center, the electric field produced by sphere #3 (of radius 2R) will be smaller than that produced by sphere #2 (of radius R), which will be less than that produced by sphere #1 (of radius R/2). As a result, the correct answer is: a. 1; 2; 3 The electric field formed by a charged sphere at a distance of 2R from the center is proportional to the charge on the sphere and inversely proportional to the square of the radius of the sphere. As a result, at a distance of 2R from the center, the electric field formed by sphere #3 (of radius 2R) will be less than the electric field created by sphere #2 (of radius R), which will be less than the electric field created by sphere #1 (of radius R). greater than the electric field produced by sphere #1 (of radius R/2). As a result, the correct answer is: a. 1; 2; 3.
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what is the smallest area that the window could be? express your answer with the appropriate units and with the appropriate number of significant figures.
The smallest area that the window could be is 10200cm^2.
How do you find the area of a window?To find the area of a window, you need to measure its length and width, and then multiply them. The formula is:
Area = Length x Width.
We can see that the smallest area that the window could be would look at the lower values of the length and the width of the window so we would have;
Lower part of the length = 150 cm
Lower part of the width = 68 cm
Then the area would be now;
150 cm * 68 cm
= 10200cm^2
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what mass of bromine will be produced if a potassium bromide solution reacts with 50.0ml of a 1.20 mol/l solution of acidified naclo4(aq)
Around 9.588 g of bromine will be produced when 50.0 ml of 1.20 mol/L potassium bromide solution reacts with 50.0 ml of a 1.20 mol/L solution of acidified NaClO.
The reaction between potassium bromide (KBr) and sodium hypochlorite (NaClO) in the presence of acid is a redox reaction, which results in the formation of bromine (Br2) and sodium chloride (NaCl). The amount of bromine produced can be calculated using the stoichiometry of the reaction.
First, the number of moles of potassium bromide (KBr) can be calculated using the molarity and volume of the KBr solution:
Moles of KBr = Molarity x volume
= 1.20 mol/L x (50.0 ml / 1000 ml/L)
= 0.0600 mol
Since the reaction is 1:1 between KBr and NaClO, the same number of moles of bromine will be produced. The mass of bromine can be calculated using the moles and molar mass of bromine:
Mass of Br2 = Moles of Br2 x Molar mass of Br2
= 0.0600 mol x 159.80 g/mol
= 9.588 g
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if a positive test charge is placed in an electric fiield, what is the direction of the force on the test charge?
If a positive test charge is placed in an electric field, direction of the force is in positive direction.
A positive test charge will experience force in the positive direction of an axis if it is placed in an electric field.
Each point in space has an electric property known as an electric field when charge of any kind is present.
Electric field E can be defined as. [tex]E=\frac{F}{q}[/tex] or, [tex]E=K\frac{Qq}{r^2}[/tex]. This is the electric field that charge Q is exposed to as a result of charge q. This formula for the electric field intensity is based on Coulomb's law.
An electric field can be found using a test charge, which is a little positive charge.
The test charge is kept generally positive because, as we all know, electrons, which are negatively charged, are the major charge carriers in current flow.
Force is the push or pull that an object experiences that causes it to alter its velocity. As a vector quantity with both magnitude and direction, force has both. The newton (sign N) is the SI unit of force.
Three types of forces are:-
Gravitational force, Electrical force and Magnetic forces.
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a male african elephant has a mass of 6800 kg and can reach a running speed of 25 km/hr. calculate the momentum of the male elephant? how fast would a field mouse (50.2 g) have to travel to have the same momentum? (47,222 / 940,681.7176)
The momentum of the male African elephant is 47222.22 kg-m, and a filed mouse has to travel at the speed of 940681.7176 m /s, to have the same momentum.
The mass of the elephant, M1 = 6800 kg
The velocity of the elephant, v1 = 25 km/h or 25×5/18 = 6.94 m/s
The mass of the field mouse, M3 = 50.2 gm or 0.0502 kg
Let the speed of the mouse to have the same momentum is v2.
Momentum of the elephant = 6800 × 6.944 = 47222.22 kg-m
Momentum of elephant = momentum of mouse
6800 × 6.94 = 0.0502 × v2
v2 = (6800×6.94)/0.0502
v2 = 940681.7176 m/s
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would a special (speci) observation be made if the ceiling decreased from 1,000 ft to 900 ft agl?
A special (speci) observation would be made if the ceiling decreased from 1,000 ft to 900 ft agl.
The global standard code for hourly and unique surface weather measurements is SPECI.
A SPECI message is the same as a METAR but is broadcast only when necessary. It is a unique observation message that draws attention to any noteworthy change that has occurred since the last METAR or SPECI was published.
Aeronautical decision making is a systematic approach to the mental process used by aircraft pilots to consistently to determine the best course of action in response to a given set of circumstances.
Inflight briefing should be requested in those cases where an update to a previous briefing needs to be obtained over an aircraft's radio.
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How would increasing the magnetic force of a magnet change the pattern of magnetic field lines between its poles?
The increase in the strength of the magnetic field will make the magnetic filed lines more closer to each other at the magnetic poles.
What are magnetic field lines ?The magnetic field lines show how powerful the magnet is. This magnetic field will have a wider region of coverage for a powerful magnet. The magnetic field lines appear to all diverge or converge at the poles, as shown in the illustration above. This indicates that the region where a magnet's external magnetic field is highest.
The magnetic south pole is the point at which all magnetic field lines converge for all magnets, while the magnetic north pole is the point at which all magnetic field lines diverge.
The magnet's north pole is where magnetic lines of force begin, and its south pole is where they terminate. At the poles, magnetic field lines are closest to one another, and the distance at which they are separated from the magnet changes.
Magnetic force lines never cross one another. But they come closer when the field strength is increased.
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does acceleration depend on the speed of an object? why or why not? give an example of a slow object having a larger acceleration than a fast object. try to use a different example than those given by your classmates. can anyone think of an example of an object moving in such a way so that it is accelerating while having zero velocity?
acceleration depends on the change in velocity
Is acceleration affected by speed or velocity?Acceleration is a vector quantity because it is affected by changes in velocity. This indicates that acceleration has a magnitude as well as a direction. Meters per second squared, or m/s2, are the conventional units of acceleration. These units are derived from velocity units, meters per second, and time units, seconds.
Without zero velocity, a bode can have acceleration. For example, when an object is hurled upwards, the velocity at the body is zero at that point, yet it experiences acceleration owing to gravity. It is feasible that when an item is hurled upward, its velocity is zero at the highest point and it has a finite acceleration owing to gravity.
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IP Silver pellet with a ma of 1. 2 g
g
and a temperature of 88 ∘C
∘
C
are added to 270 g
g
of water at 18 ∘C
∘
C
Hence, the value of Tfinal will be =18.01786 C
The temperature of the final mixture can be calculated using the law of conservation of energy, which states that the total energy of a system remains constant.
The change in energy of the water is equal to the heat absorbed by the water from the silver pellet.
Q = mcΔT
where Q is the heat absorbed,
m is the mass of the water,
c is the specific heat capacity of water,
and ΔT is the change in temperature.
The heat absorbed by the water can be calculated as follows:
Q = mcΔT = 270 g * 4.18 J/g°C * (Tfinal - 18°C) = mcΔT
The heat absorbed by the water can be calculated as follows:
Q = mcΔT = 1.2 g * 0.24 J/g°C * (88°C - Tfinal) = mcΔT
Solving for Tfinal, we get:
Tfinal = 18°C + (Q / mc)
= 18°C + [1.2 g * 0.24 J/g°C * (88°C - Tfinal)] / [270 g * 4.18 J/g°C]
=18 + [1.2*0.24*(88-18)]/[270*4.18]
=18+(20.16/1128.6)
=18+0.01786
=18.01786 C
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45 points!!
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Two identical carts are released on tracks of equal height as shown. Neglect loss.
- In which case does the cart have a greater initial gravitational potential energy ?
- in which cause does the cart reach the bottom of the track in a shorter time ?
- in which case does the cart have a greater final speed?
Potential answers; Cart A , Cart B, or ‘equal’
Answer:
Drop down 1,2, & 3 all are Equal
Explanation:
- Both carts have the same initial gravitational potential energy, as they are released from the same height on tracks of equal height.
- Both carts will reach the bottom of the track in the same time, as they are both subject to the same gravitational force and start at the same height.
- Both carts will have the same final speed, as they are both subject to the same gravitational force and experience the same amount of friction over the same distance.
in dynamics v=ds/dt (velocity) and a=dv/dt (acceleration) are called equations of motion where the distance s is a function of time t. given: v=t-2. find the maximum/minimum distance.
The required distance when the relation between velocity and time is given is calculated to be at t = 0, 2 sec.
As given in the problem, v = ds/dt
ds = v dt
Taking integral on both sides, we have,
∫ ds = ∫ v dt
Replacing v by t-2 in the above equation.
∫ ds = ∫ (t - 2) dt
S = t²/2 - 2t
The minimum distance is when S = 0, t²/2 - 2t = 0
t( t/2 - 2) = 0
At t = 0, 2 sec, it is the minimum distance covered.
Thus, the required answer is t = 0, 2sec.
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what quantity is determined by the change in potential energy of a particle which is acted on by a force?
The change in kinetic energy of the particle is determined by the change in potential energy of the particle which is acted on by a force.
What is force?
Force is a physical quantity that is a measurement of an interaction that occurs between two objects or systems. It is a vector quantity, meaning it has magnitude and direction. Force can cause an object to accelerate, decelerate, or remain at a constant speed. Examples of forces include gravitational force, electrostatic force, and electromagnetic force. Force is a key concept in classical mechanics, and is fundamental to understanding how objects interact in the physical world. Force is also used to describe energy, momentum, and torque. Understanding force can help us better understand how the physical world works.
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Which of these statements best explains why it's often a good idea to pay more than the mont
hly amount due on an amortized loan?
(2 Points)
O Every time you pay extra, the lender will reduce the interest rate they're charging by a small amount
The extra payment will be applied to the principal amount you owe, which will pay down your debt
more quickly
The extra payment will be applied to the interest you owe, which will reduce the overall cost of your
loan
Amortized loans typically have much higher interest rates than credit cards, so they're the best place to
put your extra cash
Answer:
The extra payment will be applied to the principal amount you owe, which will pay down your debt more quickly.
correct answerrrrr is ?
The electricity cost in the month is AED 43.
What is electric power?The speed at which electrical energy is carried over an electric circuit is known as electric power. The watt, or one joule per second, is the SI unit of power.
Voltage of the circuit is = 240 volt.
Resistance of the circuit is = 12 ohm.
The electric power of the circuit is = V²/R = 240 × 240 /12 = 4800 W.
Total electrical energy is = 4800 × 30 Wh
= 144 kWh
Hence, total coast is = 144 × AED 0.30 = AED 43.
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two wooden members of uniform rectangular cross section are joined by the simple glued scarf splice shown. knowing that p = 11 kn, determine the normal and shearing stresses in the glued splice.
The normal stress is 518kpa and the shear stress is 518kpa.
Any object or body that experiences an external force that is perpendicular to the cross-sectional area undergoes stress in order to restore its original shape. The stress created in this way by a force acting perpendicularly on a particular area is known as normal stress.
The tension that is created in an item when a force applies parallel to its surface area is known as shear stress. The force F is acting parallel to the surface area ABCD, creating shear stress in the item, as shown in the drawing above.
F=11×cos45
F=7.77KN
V=11×sin45
V=7.77KN
Calculate the area at the section.
A=[tex]\frac{0.15\times0.075}{cos45}[/tex]
A=0.015
Normal stress=[tex]\frac{7.77}{0.015}[/tex]
=518kpa
Therefore, the normal stress at the section is 518 kpa
Shear stress =[tex]\frac{7.77}{0.0159}[/tex]
=518kpa
Therefore, the shear stress at the section is518 kpa.
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it has been suggested that rotating cylinders about 19.5 mi long and 5.38 mi in diameter be placed in space and used as colonies. what angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on earth?
The angular speed required so that the angular acceleration is equal to the free fall acceleration on earth is 0.047 rad/s².
The centripetal acceleration of a is given by,
a = w²r
r is the radius,
r = D/2
a = w²D/2
D is the diameter of cylinder.
Also,
The free-fall acceleration has to be equal to the angular acceleration,
g = angular acceleration
a = g
w²D/2 = g
w = √(2g/D)
Putting values,
w = √(2x9.8/D)
D = 5.38 miles.
1 mile = 1609m
5 miles = 8931.4 m
So, we get,
w = √(2x9.8/8931.4)
w = 0.047 rad/s²
So, the angular speed that is required is 0.047 rad/s².
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When the object of mass m2 has descended a distance h, the potential energy of the system has decreased by a) (mx-ma)gh b) (magh) c) (mu+ma)gh d) % (mi+mzigh e) o
Correct option (m2 - m1)gh. When work is performed on a system, its total energy (kinetic plus potential) rises; conversely, when work is performed by the system, it falls.
When a spring is compressed or extended, work is done against the restoring force. Work is done against the gravitational force of attraction when moving a body against gravity. This indicates that the system's potential energy increases in all three scenarios. However, the system functions so that the potential energy of the system reduces when the bubble rises in the direction of the upthrust force. As the system travels, energy is lost by m2 over a distance of h and gained by m1 over the same distance h, but some of this energy is converted to KE, resulting in a net loss of U. For this loss, just take the U2 - U1 and deduct.
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two speakers are in a plane, 5 m apart, playing the same frequency in phase. you stand 12 m in front of the plane, centered between them so you hear a maximum intensity. as you walk parallel to the plane of the speakers you hear a minimum intensity when you are directly in front of one of the speakers (but still 12 m away). what is the lowest possible frequency of the sound in hz?
The lowest possible frequency of the sound in Hz is 24.3 Hz.
The lowest possible frequency of the sound in Hz can be calculated using the principle of constructive and destructive interference of waves.
The condition for minimum intensity is when the path difference between the two waves is equal to half a wavelength. The path difference between the two waves is equal to the difference in distance between the source and the observer.
Let "f" be the frequency of the sound waves. Then, the wavelength "λ" can be calculated using the equation:
λ = v/f, where "v" is the speed of sound in air.
The path difference between the two waves is equal to 12 m - 5 m = 7 m.
So, half the wavelength is equal to λ/2 = 7 m.
Therefore, the lowest possible frequency can be calculated using the equation:
f = v/λ = v/2*(7 m) = v/14 m.
The speed of sound in air is approximately 340 m/s, so the lowest possible frequency is:
f = 340 m/s / 14 m = 24.3 Hz.
Hence, the lowest possible frequency of the sound in Hz is 24.3 Hz.
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A pumpkin is launched from the ground at an angle of 60° above the horizontal. The pumpkin strikes the center of a large target that is 80 ft from the pumpkin launcher and 48 ft above the ground. (g = 32 ft/s2)What is the magnitude pumpkin’s initial velocity in [ft/s]?What is the magnitude pumpkin’s velocity just before it strikes the target in [ft/s]? What is the angle, in [o], of the pumpkin’s velocity just before it strikes the target?
Where y=48ft, the first equation to be used is y=v0sin60ot - 16t2. You should use the second equation, x=v0cos60ot, where x=80ft.
Therefore, 80=v0t/2 and t=160/v0. In order to obtain t2= (160/v0)2, enter these expressions into the equations.To find v0, solve for 48=v0(.867)160/v0 -16(160/v0)2. As a result, v0 becomes =67.25ft/s. So t=160/v0 =160/67.25=2.38s. To determine the velocity, v, locate vy and vx. In other words, vy = v0y -gt, and vy= 67.25(.867) - 32(2.38), yielding vy = -18.397ft/s, vx = v0(1/2), which equals 33.625ft/s, and v=(vx2 + vy2)1/2, which equals 75.187ft/s. The velocity vector's angle with the target is now tan-1(18.397/33.625) and equal to 28.68° below horizontal.At a 60° angle above the horizontal, a pumpkin is thrown from the ground. At a distance of 80 feet and an altitude of 48 feet above the earth, the pumpkin lands in the center of a sizable target. (g = 32 ft/s2)
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