A wire is capable of carrying a load W without snapping. It is divided in half, equally. Each component's maximum load capacity is W.
The maximum load supported by the cable is directly proportional to the breaking stress.
Since,
Breaking stress=F/A
where F is the force and A is the cross-sectional area
As we see that the breaking stress is independent of the length of the cable. So, if the cable is cut in two equal parts, the maximum load that can be supported by either part of the cable remains the same as before.
So, the answer would be W.
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Move over Jeff Bezos, this invention is about to make you the richest person in the world. You have just invented the OyOy (that's YoYo spelled backwards). It is the very latest in home safety and so easy to use!
If your building is on fire, simply reach out and grab the cord on the OyOy and you will be lowered safely toward the ground at a low velocity. The OyOy has a total mass M = 95.0 kg and is shaped like a cylinder of radius R = 0.940 meters. The secret to the operation of the OyOy is its patented shaft whose radius is only r = 0.0900 meters. The cord is wound around the small shaft and this is the secret to your low velocity.
We will use the approximation that the shaft is of negligible mass compared to the total. This means that you can treat the entire OyOy as though it is a solid cylinder with mass M and radius R. Imagine that a customer of mass m = 78.5 kg is using the OyOy and begins his decent from an initial height of y0 = 12.55 meters.
Find velocity of customer at ground.
Answer: The correct answer is 144.716
Explanation: This is the correct answer because the velocity of the customer at ground is higher than it should be
si un avión tarda 2 segundos en recorrer 160 metros ¿cuál es su velocidad en km/h?
Answer:
la velocidad del avion es de 304 km/h
Explanation:
Según la pregunta,
La distancia recorrida por un avión en 2 segundos es de 160 metros.
Entonces, para encontrar la velocidad, debemos dividir la distancia recorrida por el tiempo que se tarda en recorrer esa distancia.
[tex] \rm \implies Velocidad = \dfrac{distancia}{tiempo \: empleado} \\ \\ \rm \implies Velocidad = \frac{160}{2} \\ \\ \rm \implies Velocidad = 80 \: m {s}^{ - 1} [/tex]
Para convertir m/s a km/h, el numerador debe dividirse por 1000 y el denominador debe dividirse por 3600. Esto implica que la cantidad total que se da en m/s debe multiplicarse por 3600/1000.
Al convertirlo en forma mínima, la cantidad dada en m/s debe multiplicarse por 18/5 para convertirla en km/h.
[tex] \therefore [/tex]
[tex] \rm \implies Velocidad = 80 \times \dfrac{18}{5} \: km {h}^{ - 1} \\ \\ \rm \implies Velocidad = 16 \times 19 \: km {h}^{ - 1}\\ \\ \rm \implies Velocidad = 304 \: km {h}^{ - 1}[/tex]
A space station in the form of a large wheel,
356 m in diameter, rotates to provide an “artificial gravity” of 5.1 m/s2 for people
located at the outer rim.
What is the frequency of the rotational mo-
tion for the wheel to produce this effect? Answer in units of rev/min.
The frequency of the rotational motion for the wheel to produce this effect 1.62 rev/min.
What is the angular speed of the wheel?
The angular speed of the wheel is calculated by applying the formula for centripetal acceleration of the wheel.
a = v²/r = ω²r
where;
ω is the angular speed of the wheel in radian per secondsr is the radius of the wheelThe radius of the wheel = 356 m / 2 = 178 m
ω = √a/r
ω = √(5.1/178)
ω = 0.17 rad/s
The angular speed in revolution per minute is calculated as follows;
ω = 0.17 rad/s x 1 rev/2π rad x 60 s/1min
ω = 1.62 rev/min
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What role does fiction play in sport of your choice? Collect one picture of that sport in action where friction either supporting it or opposing it
A projectile is fired horizontally at 180 m/sec from an altitude of 734.7 m. What is the final vertical velocity of the projectile as it hits the ground?
Answer:
216 m/s
Explanation:
Final velocity will be resultant of the initial horizontal velocity ( 180 m/s) and the vertical velocity from falling 734.7 m
Verital vf = at need to find time
df = 734.7 = 1/2 a t^2
t= 12.2 sec
vf = at
= 9.81 (12.2) = 120 m/s
Just before hotting the ground,
resultant velocity = sqrt(180^2 + 120^2) = 216 m/s
The electrical power of a circuit can be calculated by the equation P = V × I. The table below shows the different voltages that can be supplied to the circuit. If current stays the same, which voltage will most likely result in the smallest electrical power?
A B C D
100V 25V 5V 30V
A
B
C
D
Answer: C. 5V
Explanation:
Since P = VI, power is directly proportional to voltage
If current is constant, then the lower the voltage, the lower the power. The lowest voltage shown is 5 Volts.
An airplane is traveling 835 km/h in a direction 41.5 ∘ west of north How far north and how far west has the plane traveled after 4.20 h ?
a. The plane traveled 2626.60 km north
b. The plane traveled 2323.81 km west
How to determine how far north and how far west has the plane traveled after 4.20 h?Since the airplane is traveling 835 km/h in a direction 41.5 ∘ west of north, weresolve it into its component velocity vector.
So, its velocity, V = -(835 km/hsin41.5°)i + (835 km/hcos41.5°)j
= -(835 km/h × 0.6626)i + (835 km/h × 0.7490)j
= -(553.29 km/h)i + (625.38 km/h)j
a. How far north has the plane traveled after 4.20 h ?Now the speed of the plane in the north direction is the j component which is 625.38 km/h.
Since the plane traveled 4.20 h, The distance travelled is d = speed × time = 625.38 km/h × 4.20 h
= 2626.60 km
So, the plane traveled 2626.60 km north
b. How far west has the plane traveled after 4.20 h ?Also, the speed of the plane in the west direction is the i component which is 553.29 km/h.
Since the plane traveled 4.20 h, The distance travelled is d = speed × time = 553.29 km/h × 4.20 h
= 2323.81 km
So, the plane traveled 2323.81 km west
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A horizontal line on a velocity/time graph shows ____ acceleration.
Question 9 options:
positive
negative
changing
zero
WILL GIVE BRAINLIEST PLEASE!!!!
Marco completes one lap around a 200 m circular track. What is his displacement? What is the distance that he ran?
Answer: the displacement should be zero while the distance would be 200
Explanation:
The displacement is the change in position of an object from its origin. The questions states that he ran a full circular lap therefore started as point of origin and ended up at point of origin. This would mean that his displacement is zero.
Distance on the other hand is just simple adding without the use of vectors and such. In this case the distance he ran would be 200m.
Interpret information to make judgment.
The teacher is showing the class an experiment using a radioactive source. She insists on these safety precautions
a) No students may sit in the front row
b) The radioactive source is kept in a lead box when not in use.
Explain why each of these precautions is important.
These precautions are important to avoid radiation effects. Lead is powerful in shielding nuclear substances because of its physical residence.
It is dense and difficult, which means it is able to block x-rays and gamma rays from penetrating thru the cloth. whilst these radioactive waves touch the steel, they collide with the lead atoms and get dispersed
Lock radioactive stock materials and sealed assets in a secured box or a secured storage vicinity when not in use. A stock fabric is a radioactive material as provided by using the vendor and does no longer include material withdrawn from the original inventory for experimental use.
You must generally hold radioactive resources, along with any radioactive waste that's in the garage, in suitable boxes internal an appropriate store to defend against unintended harm or loss and to guard employees and the majority.
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Highlight the reasons why tightness is required when a vaccum needs created
When a vacuum is created, it is created for the purpose to remove anything.
The main purpose of creating vacuum is referred to removal of the air from a particular space or chamber.
Such a kind of procedure should guarantee tightness.
If there is a slight leakage then the air molecules can slip in through that space created.
This will allow air to remain in the place and there won't be any possibility of creating vacuum as there won't be full removal of air.
Therefore, it becomes important to ensure the tightness of vacuum while creating it so that there is no passage created for air to pass through.
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A car travels 150 kilometers in 3.2 hours. What is the average velocity for the trip in meters per second.
Answer:
13.02 m/s
Explanation:
First, convert the units of kilometer and hours into meter and second. This can be done by multiplying 150 with 1000 since a kilometer equals 1000 meters. This’ll get us the new unit of 150,000 meters.
Then convert 3.2 hours to second by firstly multiplying 3.2 with 60. This’ll get us with 192 minutes since an hour equals 60 minutes. Then multiply 192 by another 60 because a minute equals to 60 seconds. You’ll obtain the new unit of 11520 seconds.
Next, we can now apply the basic velocity formula which is:
[tex]\displaystyle \vec v = \dfrac{\vec s}{t}[/tex]
Where [tex]\vec v[/tex] is velocity, [tex]\vec s[/tex] is displacement and [tex]t[/tex] is time. In this scenario, assume that the car travels in linear path - this means that the displacement equals to distance. Therefore, from the information we have, we can conclude that:
[tex]\vec s[/tex] = 150,000 meters[tex]t[/tex] = 11520 secondsApply in the formula to find velocity:
[tex]\displaystyle {\vec v = \dfrac{150000}{11520}}\\\\\displaystyle{\vec v \approx 13.02 \ \, \sf{m/s}}[/tex]
Therefore, our velocity is approximately 13.02 m/s
What is the total mechanical energy of a 3 kg object traveling at 7 m/s if its potential energy is 42 J? (1 point)
247.8 J
115.5 J
31.5 J
73.5 J
A 3 kilogram object traveling at 7 m/s and possessing a 42 J potential energy has a mechanical energy of 115.5 J.
How much mechanical energy does the thing possess?Performing a specific task results in the accumulation of mechanical energy. It is the total of an object's potential energy and kinetic energy. It is stated as;
Potential and kinetic energy are the components of mechanical energy.
Given the information in the query;
The object's mass is 3 kg.
The object's speed is 7 m/s.
Object's potential energy is 42 J.
Calculate the object's kinetic energy.
Kinetic energy = 1/2 × mass × ( velocity )²
Insert the specified values.
Kinetic energy is = 1/2 x 3 kg x 7 m/s2.
Kinetic energy = 0.5 x 3 kg x 49 m2/s2.
Kinetic energy = 73.5 kg/m2/s2.
Kinetic energy = 73.5 J.
Now, the object's mechanical energy will be;
Potential energy plus kinetic energy equals mechanical energy.
Put the values in.
Mechanical energy = 42J + 73.5J
Mechanical energy = 115.5 J.
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this diagram shows an amusement park roller coaster ride.(a) on what part of the ride is the car moving slowest?(b)on what part of the ride is the car moving fastest?(c)The car become stuck at point p which is 50 meters above the ground.To the relief of the presenters the car eventually move again and passes point R at 20m/s.Approximately how height is point R?The car and its passengers have a combined mass of 700kg.
Answer:
KE + PE = constant conservation of energy
At 50 m KE = zero and PE = m g h
PE = 700 kg* 9.80 m/s^2 * 50 m = 343,000 Joules
PE + KE = 343,000 J
At point R
PE = 343,000 J - 1/2 * 700 kg * 400 m^2 / s^2 = 203,000 J
m g h = 203,000 J at point R
h = 203,000 J / (700 kg * 9.80 m/s^2 = 29.6 m height of point R
Check:
343,000 = 700 * 9.80 * 29.6 + 350 * 400 = 343,000
Adding PE and KE at point R
Can someone please explain how to do this?
A babysitter pushing a stroller starts from rest and accelerates uniformly at a rate of 0.778 m/s^2. What is the velocity of the stroller after it has traveled 5.54 m?
do you believe that doubting is thinking?yes or no then why?
Answer:
yes
Explanation:
Because doubting is thinking something is
wrong
500 N of force on a large box for 45 seconds, but it does not move.
How much work is being done?
What is the power?
The work done will be zero, since the object does not move. Also, the power will be zero since the work done is zero because the force must be applied in the direction of motion.
What is work done?Scientifically, the formula for the work done is given by: W = F * d. In this case, the force acting on the block is constant, but the direction of the force and the direction of displacement due to this force are it's different. where force F acts on displacement d at angle θ.The work done by a force is defined as the product of the displacement component of the force and the magnitude of that displacement. method. Work can be calculated by multiplying the force by the displacement in the direction of the force as There are many examples of work in our daily life. For example, a horse pulling a plow in a field, a father pushing his shopping cart in the mall, a student lifting a bag full of books on his back or shoulder.To learn more about work done from the given link :
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Friction is a force that resists motion between surfaces that are touching each other
Answer:
Yes.
Friction is the force which resists the motion of an Object. Measured in Newtons.
formula = F=ma, where f is the force, m is the mass and a is the acceleration
An electric motor is used to hoist building supplies from the ground to the roof of a building. How high can it lift a 131 kg bundle of shingles in that time?
The electric motor will lift the 131 kg bundle of shingles at a height of 14 m.
What is gravitational potential energy?Gravitational potential energy is the energy exhibited by an object because of a change in its position in the presence gravitational field.
The gravitational potential energy of an object at height h from the surface of the earth is given by:
[tex]U = mgh,[/tex] where m is the mass of the object.
Given, the power of the electric motor, P = 1.5 KW, and time, t - 12 s
Power = Work/ time
Work = Power × time
Work = 1500 ×12 = 18000 J
Given, the mass of the object, m= 131 Kg
The gravitational potential energy, U = 18000J
The height of the bundle of shingles can be determined as:
18000 = 131 ×9.8 ×H
H = 14 m
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Your question was incomplete most probably complete question was,
An electric motor is used to hoist building supplies from the ground to the roof of a building. How much work can the motor do in 12 seconds if its power output is 1.5 kW. How high can it lift a 131 kg bundle of shingles in that time?
Calculate the answer to the correct
number of significant digits.
-3.22
x5.1
You may use a calculator. But remember, not every digit the
calculator gives you is a significant digit!
Enter
The number of significant digits is 6.
What is significant figures?The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 6.658, for instance, has four significant digits. These huge amounts give the numbers accuracy. Additionally, they are known as significant digits.
Given that: -3.22 x 5.1.
The product of -3.22 and 5.1 is 16.442.
In the number 16.442, there have 6 significant figures. Hence, The number of significant digits is 6.
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ANALYSIS
1. Which has more kinetic energy:
a. A compact car going 70 mph or a tractor trailer going 15 mph?
b. An SUV going 30 mph or a pickup truck going 30 mph?
c. A school bus going 15 mph, an SUV going 35 mph, or a
compact car going 45 mph?
a) Tractor trailer will have more kinetic energy
b) kinetic energy of pickup truck will be more than a SUV
c) school bus will have the maximum kinetic energy
a) Tractor trailer will have more kinetic energy because its mass is way to heavy than that of compact car as kinetic energy is not only just dependent on velocity but also depend upon mass of that body .
b) since , speed of SUV and truck is same , but mass of the truck is more than SUV , hence kinetic energy of pickup truck will be more than a SUV .
C) Since , school bus carries number of passengers than SUV or compact car , hence school bus will have the maximum kinetic energy .
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If is the angle between and the perpendicular is 90 then the lines of forces are O a. Not sure O b. Zero O C. Maximum O d. None of the above.
If the angle between displacement and force is 90° then the lines of force are zero. The correct option to this question is B.
The work completed is zero if there is a 90 degree angle between the force and the displacement.A scalar quantity, such as work, has simply magnitude and no direction.W= F×s or W= F×scosФ, which stands for "done," is the scalar product of force and displacement.Since cos90° has a value of 0, everything multiplied by 0 also has a value of 0.Because of this, when the angle between the force and the displacement is 90, we say that work is complete. For more information on scalar quantity kindly visit to
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Does Monera move?
20 points
Answer:
Prokaryotic Bacteria
Explanation:
particle that is not considered part of an element’s atomic mass?
Answer:
Electrons.
Explanation:
Neutrons are neutral particles found in the nucleus. The atomic mass is calculated using the protons and neutrons but not the electrons, as their mass is negligible. In an example, the element oxygen has an atomic number of 8 and an atomic mass of 16.
4. A car is driving at 25 m/s (55 mph). The driver spots a deer jumping into the road. It takes
the driver 2 seconds to react and hit the brakes. Once the brakes are hit the car slows down at a
rate of 5 m/s/s. Calculate how long it takes to stop and how far the car travels during the
reaction time and stopping time.
1. The time taken for the car to stop is 5 s
2. The distance travelled during the reaction time is 50 m
3. The distance travelled during the stopping time is 62.5 m
1. How do I determine the time taken for the car to stop?
The time taken for the car to stop can be obtained as follow:
Initial velocity (u) =25 m/sDeceleration (a) = -5 m/s/s Final velocity (v) = 0 m/sTime taken to stop (t) =?a = (v - u) / t
-5 = (0 - 25) / t
-5 = -25 / t
Cross multiply
-5 × t = -25
Divide both sides by -5
t = -25 / -5
t = 5 s
Thus, the time taken to stop is 5 s
2. How do I determine the distance travelled during the reaction time?
The distance travelled during the reaction time can be obtained as follow:
Velocity = 25 m/sReaction time (t) = 2 secondsDistance travelled =?Distance travelled = velocity × reaction time
Distance travelled = 25 × 2
Distance travelled = 50 m
3. How do I determine the distance travelled during the stopping time?
Initial velocity (u) = 25 m/sDeceleration (a) = -5 m/s/s Final velocity (v) = 0 m/sStopping time (t) = 5 sDistance (s) =?s = ut + ½at²
s = (25 × 5) + (½ × -5 × 5²)
s = 125 - 62.5
s = 62.5 m
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a sample of cube X is shown above. If it’s mass is 244.4 mg, what is its density in g/cm^3
The density of the cube is 1.1 g/cm³
What is density?Density is described as the substance's mass per unit of volume. Mathematically, density is defined as mass divided by volume: density (rho) =mass/ Volume where ρ is the density, m is the mass, and V is the volume.
mass of cube= 244.4mg
volume of cube = 222.2 cm³
density = mass/ volume
density = 244.4/ 222.2 cm³
density = 1.1 g/cm³
Density is essentially a measurement of how tightly matter is packed together. density is a unique physical property of a particular object.
In conclusion, the principle of density was discovered by the Greek scientist Archimedes.
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The toy car in Figure 20 runs off the edge of a table that is 1.225m high. The car lands 0.4000m from the base of the table. Show all work.
How long did it take the car to fall?
The time taken for the toy car to fall from the given height is 0.5 second.
What is the time of motion of the toy car?
The time of motion of the toy car is calculated by applying the following equation as shown below.
h = vt + ¹/₂gt²
where;
h is the vertical height of fall of the toy carv is the initial vertical velocity of the toy cart is the time of motion of the toy carg is acceleration due to gravity = 9.8 m/s²The initial vertical velocity of the toy car = 0
h = 0 + ¹/₂gt²
h = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 1.225 / 9.8)
t = 0.5 second
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An air conditioner cools a room using which method?
A. Conduction
B. Convection
C. Radiation
Answer:
b) Convection
Explanation:
An air conditioner cools a room using convection method. Therefore, the option (b) is the correct answer.
How many kWh of energy would be needed for brushing your teeth with an electric
toothbrush daily for the month of May?
There are models that work with batteries and others with batteries that can be charged in the electrical network. Let's look at an average brush, with a power of 3 W. If you brush your teeth 3 times a day for 5 minutes, you have a daily consumption of 0.00075 kWh. In one month, consumption would amount to 0.225 kWh.
two forces, one of 12 N and another of 24 N, act on a body in such a way that they make an angle of 90° whith each other. find the resultant of the two forces.
26.83 Newton Force is the resultant of the two forces.
F1= 12 N
F2=24 N
resultant force= [tex]F_r= \sqrt{F_1^2+F_2^2+2F_1F_2cos \alpha}[/tex]
angle=90°
[tex]F_r= \sqrt{(12)^2+(24)^2+2(12)(24)(cos 90)}[/tex]
[tex]{:[=\sqrt(144+576+0)],[=\sqrt720],[=26.83N][/tex]
The resultant force is the total force acting on the object or body along with the direction of the body. The resultant force is 0 when the object is at rest or traveling at the same speed as the object. Given that each force is acting in the same direction, their aggregate force ought to be equal.
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