(a)Gauge pressure is 412 atmospheres ; (b) depth = 4.24 x 10^2 m. (c)magnitude of the net force = 4.13 x 10^2 N. (d) viewing port is made of strong material that can withstand the high pressure (e)magnitude of the average acceleration = 0.333 m/s^2 (f) d=498.5m (g) t= 29.94 s.
What is gauge pressure?Gauge pressure is the pressure of a system above the atmospheric pressure.
(a) Since the inside of the submarine is kept at atmospheric pressure, gauge pressure on the sunken ocean liner is 413 atmospheres - 1 atmosphere = 412 atmospheres.
(b) P = ρgh, where P is pressure, ρ is density of seawater, g is acceleration due to gravity, and h is depth. Given P = 413 atmospheres, ρ = 1025 kg/m3, and g = 9.8 m/s^2. Therefore, h = P/(ρg) = 413 atmospheres / (1025 kg/m3 * 9.8 m/s^2) = 4.24 x 10^2 m.
(c) As, F = PA, where F is force, P is pressure, and A is area. Given, P = 413 atmospheres and A = 0.0100 m^2. So, F = PA = 413 atmospheres * 0.0100 m^2 = 4.13 x 10^2 N.
(d) The viewing port is made of a strong material like glass or acrylic that can withstand the high pressure of the surrounding seawater.
(e) As, v = at, where v is final velocity, a is acceleration, and t is time. We know that v = 10.0 m/s and t = 30.0 s. So, a = v/t = 10.0 m/s / 30.0 s = 0.333 m/s^2
(f) d = 1/2at^2 to find the distance. d = 1/20.333*30^2 = 498.5m
(g) v^2 = u^2 + 2as, where u is initial velocity, v is final velocity, a is acceleration and s is distance. s = (10^2 - 0^2)/(2*0.333) = 299.4 m. So, time t = s/v = 299.4/10 = 29.94 s.
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true/false.. occurs when water between the tires and the road builds until the tires begin to ride on a film of water, resulting in loss of traction.
It's true that water buildup between the road and the tyres causes friction and traction loss while the tyres are travelling on a film of water. Friction is the force that prevents motion relative to two solid surfaces.
Material elements and fluid layers are in motion in opposition to one another. Friction operates as an attracting force when one body slides through another. Friction is caused by the interaction of two surfaces. If there is a lot of friction, objects do not move smoothly across a surface. Thermal energy is produced throughout this action as kinetic energy is. Friction, often known as the frictional force, is the force that stops an object from moving across a surface.
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you are swinging a block of mass 10 kg around in a horizontal plane at a speed of 10 m/s, holding a massless string of length 2m. neglecting gravity, the force you exert on the string is
The force you exert on the string is 500 N. This force is calculated by centripetal force.
what is a centripetal force?Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force. The part of the force that produces the centripetal force is the part that is perpendicular to the velocity.
Is the force of gravity centripetal?Centripetal force is used to maintain an object moving in a circle due to gravity. Since gravity always works perpendicularly to the does not affect velocity, it has no effect on an object in a circular orbit.
Does centrifugal force really exist?It is untrue to say that there is a centrifugal force. It is presumable that its existence is limited to providing an explanation for observations made from the perspective of an observer who moves in a circular motion alongside the item under observation.
Given:
Mass (m) = 10 kg
Velocity (v) = 10m/s
Radius (r) =2 m
F = m*v^2/r
[tex]F= \frac{10(10)^2}{2}[/tex]
[tex]F=500N[/tex]
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The velocity of a machine element over a 10 second period is:
V=2.5t m/s 0
V=10 m/s 4
If the element represents aerodynamic drag, approximated by the characteristic F=CV^2 determine the power absorbed as a function of time, and the total energy dissipated if C= 1.0 N-s^2/m^2
The total energy dissipated over a 10 seconds period is 78125 Joules.
What is power that absorbed as a function of time?The velocity of the machine element over a 10 second period is represented by the equation V = 2.5t m/s, where t is the time in seconds.The aerodynamic drag on the element is approximated by the characteristic equation F = CV^2, where C is a constant (1.0 N-s^2/m^2 in this case) and V is the velocity of the element.To determine the power absorbed as a function of time, we can multiply the force of drag by the velocity: P = FV = CV^3.Substituting in the given values, we get P = (1.0 N-s^2/m^2)(2.5t m/s)^3 = 31.25t^3 WTo determine the total energy dissipated, we can integrate the power over the time period of 10 seconds: E = ∫Pdt from 0 to 10 seconds.Substituting in the given power equation, we get E = ∫(31.25t^3) dt from 0 to 10 seconds.Solving the integral gives E = (31.25/4)t^4 from 0 to 10 seconds.Substituting t = 10 in the above equation, we get E = 31.25 * 10^4/4 = 78125 J (Joules)So, the total energy dissipated over a 10 seconds period is 78125 Joules.To learn more about power refer:
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three objects are brought close to one another, two at a time. when objects a and b are brought together, they attract. when objects b and c are brought together, they repel. which of the following are necessarily true? (select all that apply.) one object is neutral. objects a and c possess charges of the same sign. all three objects possess charges of the same sign. objects a and c possess charges of opposite sign. additional experiments must be performed to determine information about the charges on the objects.
Answer:
Additional experiments must be performed to determine information about the charges on the objects
a cyclist rides 6.8 km east for 19.4 minutes, then he turns and heads west for 4.1 km in 5.8 minutes. finally, he rides east for 15.3 km, which takes 38.6 minutes. take east to be the positive direction.(a) What is the final displacement of the cyclist? (b) What is his average velocity?
A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km. Finally, he rides east for 16 km, which takes 40 minutes.
What is the difference between a bicyclist and a cyclist?A cyclist (or bicyclist) is someone who rides a bicycle. A biker is someone who rides a motorcycle. These terms are an ongoing subject of controversy, especially in cyclist circles.
Is it called biking or cycling?Bicycle magazines seem to use the word biking to refer to the act of riding a motor bicycle. However, some observed that cycling is used by more formal writers, while biking is usually part of a more informal and colloquial language.
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Suppose you are standing on the center of a merry-go-round that is at rest. You are holding a spinning bicycle wheel over your head so that its rotation axis is pointing upward. The wheel is rotating counterclockwise when observed from above.
For this problem, neglect any air resistance or friction between the merry-go-round and its foundation.
Part A Suppose you now grab the edge of the wheel with your hand, stopping it from spinning.
Part A.1 Part not displayed
What happens to the merry-go-round?
ANSWER: It remains at rest.
It begins to rotate counterclockwise (as observed from above).
It begins to rotate clockwise (as observed from above).
(B) is correct → It begins to rotate counter clockwise (as observed from above) if we have to stop the wheel from spinning it counterclockwise,
What does the word "counterclockwise" mean?CCW motion can be seen in the turning of taps, putting a lock in a key to lock it, and disassembling a screw, for example. To make counterclockwise motion clear to young students, use the letter C as an illustration exert From a we must clockwise torque to stop it. 3rd law of Newton, wheel exerts a counter clockwise torque on US.
Due to Conservation of momentum, it begins to dotale counter clock wise. Note that, angular momentum will get transferred from wheel to the merry-go-around"
Which direction—counter clockwise or clockwise—is proper
Result for counter clockwise in an image
The clock's hands go from top to bottom, then down and towards the left, and officially back to the center in clockwise motion, which is abbreviated as CW. In Commonwealth, the opposite of rotating or revolution is.
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The correct question is:
10) Suppose you are standing on the center of a merry-go-round that is at rest. You are holding a spinning bicycle wheel over your head so that its rotation axis is pointing upward. The wheel is rotating counterclockwise when observed from above.
For this problem, neglect any air resistance or friction between the merry-go-round and its foundation.
Suppose you now grab the edge of the wheel with your hand, stopping it from spinning. What happens to the merry-go- round?
A) it remains at rest.
B) it begins to rotate counterclockwise (as observed from above).
C) it begins to rotate clockwise (as observed from above).
D) Cannot be determined from the information given.
a small, 300 g cart is moving at 1.90 m/s on a frictionless track when it collides with a larger, 3.00 kg cart at rest. after the collision, the small cart recoils at 0.880 m/s .
When a tiny, 300 g cart collides with a bigger, 3.00 kg cart at rest while both are going at 1.90 m/s on a frictionless track, the big cart's speed after the collision is V = 0.149 m/s.
This is a momentum-related query.
Mass times speed equals momentum.
Momentum before a collision equals Momentum after a collision, according to the Conservation of Momentum.
Prior to a collision, a little cart's momentum equals its own.
Acceleration before impact = (0.3 x 1.1) m/kg = 0.33 m/kg
Momentum following a collision is equal to the product of the momentums of the two carts (minus because of the small cart recoils in the opposite direction)
After-collision momentum is equal to (4 x V) - (0.3 x 0.890) = 4V - 0.267.
4V - 0.267 = 0.33
4V = 0.33 + 0.267
A collision, also known as an impact, is the abrupt, violent coming together in close proximity of two bodies, such as, for instance, two pool cues, a golf club and a ball, a hammer and a nail head, or two train carriages. 4V = 0.597 V = 0.149 m/s
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Two rocks weighing 5 newtons and 10 newtons, respectively, fall freely from rest near the Earth's surface. After 3 seconds of free-fall, compared to the 5 newton rock, the 10-newton rock has greater:(1 ) acceleration(2 ) height(3 ) momentum(4 ) speed
After 3 seconds of free-fall, compared to the 5 newton rock, the 10 newton rock has greater momentum.
We have 4 options:
1) Acceleration
This option is not correct as the two rocks will have the same acceleration due to the fact that air friction is neglected.
2) Height
This option is not correct as both the rocks are freely falling from rest near Earth's surface at the same rate. Heights will be same.
3) Momentum
This option is correct as rocks have same velocity but different masses. Momentum can be be written as:
p = mv,
where p: Momentum
m: Mass
v: Velocity
Therefore, momentum of 10 newton rock will be greater in magnitude than momentum of 5 newton rock.
4) Speed
This option is not correct as both rocks have same acceleration. Hence, their speeds will be the same.
Therefore, option 3) Momentum is correct.
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Given the sequence of nucleotides in this DNA strand: GTCCGA, what should the corresponding strand of DNA read?
A tank filled with oil is in the shape of a downward- pointing cone with its vertical axis perpendicular to ground level. (See a graph of the tank here.) In this exercise we will assume that the height of the tank is h = 16 feet, the circular top of the tank has radius r = 8 feet, and that the oil inside the tank weighs 57 pounds per cubic foot. How mu Ch work (W) would it take to pump oil from the tank to the level at the top of the tank if the tank were completely full?
The amount of work it will take to pump the oil to the top is W≈82570 ft.lb.
The scalar product of force and displacement vectors called work. W=Fx is the amount of work done when an item is moved by a force F and displaces it across a distance x.
Work is a type of energy in physics. To move an item against gravity, we must give energy to the object, which is stored in the object as gravitational potential energy. The change in gravitational potential energy is equal to the amount of work energy provided to the item.
Work is defined as the displacement of an item caused by a force (push or pull), whereas energy is defined as the capacity to execute the work. It can take many forms, including potential, kinetic, chemical, thermal, nuclear, and electrical energy. Power is defined as the amount of work done per unit of time.
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A person is riding their bicycle along a straight road at a speed of 7.9 m/s. In total, they have a mass of 88 kilograms. What is the kinetic energy, in joules, of the person with their bicycle?
The cyclist's kinetic energy, measured in joules, is 2746.04 J. 125 Joules are the same as the kinetic energy, or (1/2 * 10 kg) * 5 m/s2.
How is kinetic energy calculated?The energy that drives motion is known as kinetic energy (KE). Kinetic energy is the force that drives motion. The mass and speed of an object moving determine how much kinetic energy it has.
How can kinetic energy be calculated given mass and speed?According to classical physics, kinetic energy (KE) is determined by multiplying the mass of an item by the square of its velocity, or 1/2*m. As an illustration, consider an object having a mass of 10 kg (m = 10 kg) and a speed of 5 m/s (v = 5 m/s).
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The demand for the lighting of a small village is 50 A at 200 V. This is supplied from a dynamo
of a distance station. The generated voltage being 220 V. Compute the following:
B2.1 Resistance of the leads from the dynamo to the village
B2.2 The number of units of energy (kwh) consumed in 10 hours in the village
B2.3 The number of units of energy (kwh) wasted in the leads in the same time
B2.4 Draw the equivalent circuit of the power suppl
(1) The resistance of the leads from the dynamo to the village is 4.4 ohms.
(2) The number of units of energy consumed in 10 hours in the village is 100 kWh.
(3) The unit of energy wasted in the leads in the same time is 11 kWh.
What is the resistance of the circuit?
The resistance of the leads from the dynamo to the village is calculated by applying the following formula.
V = IR
R = V / I
where;
V is the voltage suppliedI is the currentR = ( 220 V ) / ( 50 A )
R = 4.4 ohms
The unit of energy consumed in 10 hours is calculated as follows;
P = IV
P = 50 x 200
P = 10,000 W = 10 kW
In 10 hours, E = Pt
E = 10 kW x 10 hrs
E = 100 kWh
The unit of energy wasted in the leads in the same time;
E = I²R
E = ( (50² ) x ( 4.4 ) ) / 1000
E = 11 kWh
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If the electric field is zero throughout a certain region of space, is the potential also zero in the region?
No, the gradient of the potential is the field. Therefore, in any area where the potential is constant, the electric field is zero. Constant does not always equate to zero.
What does a point's electric field appear like in space?The force per unit charge that an infinitesimally small positive test charge would experience if held fixed at a given point in space is the concept of the electric field at that location.
Is there no electric field in a vacuum?According to Gauss's law, the divergence of the electric field and the enclosed surface integral of the electric field are both zero in a vacuum, which is the absence of electric charges. Electric potential and electric field are both 0 at infinity if only a single point is taken into consideration.
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Recent findings lend strong support to the theory that a black hole lies at the center of the Milky Way and of many of the 100 billion other galaxies estimated to exist in the universe.
(A) that a black hole lies at the center of the Milky Way and of
(B) that a black hole lies at the Milky Way's center and
(C) that there is a black hole lying at the Milky Way’s center and
(D) of a black hole lying at the Milky Way's center and
(E) of a black hole that lies at the center of the Milky Way and of
Recent findings lend strong support to the theory that a black hole lies at the center of the Milky Way and of many of the 100 billion other galaxies estimated to exist in the universe: (A) that a black hole lies at the center of the Milky Way and of.
What is Milky way?Large amounts of stars, dust, and gas make up the Milky Way. It is known as a spiral galaxy because, whether viewed from the top or bottom, this would appear to be rotating. The Sun is situated on one of the spiral arms, some 25,000 light-years from the galaxy's nucleus. This white streak was described as a "river of milk" in a story by the ancient Greeks. It was referred to by the ancient Romans as the Via Galactica, or "way made of milk." The Milky Way is the name given to our galaxy as a result. The majority of the stars that you can see when gazing up at the night sky are situated in the Milky Way's core.
Here option (A) uses the phrase "lies at...(the center) of many of the 100...universe," which conveys the intended meaning—that a black hole lies at the heart of both the Milky Way and many of the 100 billion other galaxies that are thought to exist in the universe. Furthermore, Option A includes the phrase "thesis about a black hole," communicating the desired idea — namely, that recent discoveries overwhelmingly support the theory about a black hole. Additionally, Option A employs the word "lying," which is a universal fact, in the simple present tense. Option A is also devoid of discomfort and duplication.
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b. consider the circuit at right. all of the bulbs in the circuit are identical. assume that the battery is ideal. the switch is initially closed. rank the brightness of the four bulbs from brightest to dimmest. if two or more bulbs are equal in brightness, indicate that in your ranking. please put your response in parentheses. for example: (a
The resistance of parallel connection will grow as soon as the switch is opened, increasing the bulb network's overall equivalent resistance. Ohm's law states that with constant battery voltage, the current flowing through bulb A—which is equivalent to the network's overall current—will drop.
What purposes might Ohm's law serve?Ohm's law is employed to verify the fixed values of circuit elements such voltage supplies, voltage dips, and current levels.
What exactly does Ohm's law say?The current through with a resistor between two places is directly proportionate to the voltage from across two points, according to Ohm's law.
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Using the exact exponential treatment, find how much time is required to charge an initially uncharged 100-pF capacitor through a 75.0-M Ω resistor to 90.0% of its final voltage.
17.3 ms are needed to charge a 100-pF capacitor to 90.0% of its ultimate voltage after passing it through a 75.0-M resistor.
What function does a capacitor serve?
a capacitor is an electrical energy storage device that consists of two conductors that are isolated from one another and placed near to one another. A straightforward illustration of one such storage device is a parallel-plate capacitor.
What is a capacitor and how does it work?
In an electrical circuit, a capacitor is a component that is used to hold charges. A capacitor operates under the premise that when an earthed conductor is moved close to a conductor, its capacitance increases noticeably.
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FILL IN THE BLANK Before driving, you should check for these things: obstructions behind the car, ____, and which direction your vehicle's wheels are turned.
Before driving, you should check for these things: obstructions behind the car, leaking fluids, and which direction your vehicle's wheels are turned.
Driving Safety:
Safe driving is important not only for the driver, but also for everyone involved inside and outside the vehicle, such as pedestrians and other road users.
Driving safely includes what you do before, during and after driving a vehicle to ensure your safety.
SAFETY TIPS BEFORE DRIVING
Before you drive, make sure that:There are no obstacles behind the vehicle and the road is clearThere are no fluid leaks Brakes and clutches are functioning properly to avoid fires and other accidents.Which direction should the vehicle wheels be turned to properly turn the steering wheel in the correct direction.Please adjust your seat.Adjust the mirrors (rear and side). Adjust the steering wheel so you can reach all controls and have a clear view of the road.Please adjust the headrest.Fasten your seat belt and adjust to a comfortable and safe position. Make sure all passengers are in the vehicle and have their seatbelts fastened. Start the engine, check your car's fuel level, and watch for warning lights on your dashboard. If the warning light is on, please refer to the following link: It explains the various warning lights on the dashboard, what they mean, and what to do before driving.Drive responsibly and safely.Therefore, Before driving, you should check for these things: obstructions behind the car, leaking fluid, and which direction your vehicle's wheels are turned.
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The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface 1 has an area of 1.5 m2, while surface 2 has an area of 3.6 m2. The electric field E in the drawing is uniform and has a magnitude of 252 N/C.(a) Find the electric flux through surface 1.________________ N·m2/C(b) Find the electric flux through surface 2._________________N·m2/C
The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface (1) has an area of 1.70 m².
What do you know about Surface?Surface is a line of tablet computers developed by Microsoft and sold under their brand. Surface tablets have a 10.6-inch wide touch screen display and come with USB support, dual Wi-Fi antennae, a built-in kickstand to make the tablet stand up by itself and an optional keyboard that doubles as the tablet's cover.
What does Surface mean in tech?A surface computer is a computer which interacts with users through an ordinary object instead of through monitor and keyboard. Commands are input through the use of bare hands by touching or dragging the surface .
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A 20 kg bike is traveling at 10 m/s o the right when it is struck by a truck traveling at -20 m/s to the left. The truck has a mass of 3,000 kg. Which of the following statements best describes the forces and accelerations involved during the collision?
During the collision between the bike and the truck, the two objects will experience forces and accelerations. The force of the collision will be the result of the difference between the momentum of the two objects before and after the collision. The momentum of an object is the product of its mass and velocity, represented as p = mv.
Before the collision, the bike has a momentum of 20 kg * 10 m/s = 200 kg m/s to the right and the truck has a momentum of 3,000 kg * -20 m/s = -60,000 kg m/s to the left.
After the collision, since the truck has a much greater mass than the bike, it will experience a much smaller change in momentum than the bike, and the final velocities of the two objects will be close to the initial velocity of the truck.
So, the force of the collision will be the difference between the initial momentum of the bike and truck and the final momentum of the bike and truck. This force will be acting on the bike, causing it to experience an acceleration. The truck will experience a force as well, but it will be much smaller in magnitude because of its much larger mass.
Therefore, the best statement that describes the forces and accelerations involved during the collision is: The bike experiences a large force during the collision, causing it to experience a large acceleration, while the truck experiences a smaller force and acceleration due to its much larger mass.
a system that consists of a single spring stores a total elastic potential energy e when a load is added to the spring. another identical spring connected in parallel is added to the system. the same load is now applied to the parallel springs.
The spring is added to a system that uses just one spring to store an entire elastic potential load. A second identical spring was attached to the system.
How can you tell whether a spring is in series or parallel?When a load is applied to a system made up of a single spring, the system's total elastic potential energy, e, is stored. The system is expanded by adding a second similar spring connected in parallel. The parallel springs are now subjected to the same load.
More broadly, two or more springtime are in sequence when any stressor given to the ensemble applies to each spring with changing magnitude, and the extent of strain (deflections) of the ensembles is equal to the total of the strains of the springs.
In a sentence, what does the word "parallel" mean?Repetition of a specific grammar form within a sentence is known as parallel structure (also known as parallelism). A parallel construction is made when all of the items or concepts being compared in a sentence adhere to the same grammatical structure. Example False Parallel: In addition to midday naps, Ellen enjoys hiking and attending rodeos.
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A mass is oscillating on a frictionless surface at the end of a horizontal spring. Where, if anywhere, is the acceleration of the mass zero.a. At x = -Ab. At x = 0c. At x = +Ad. at both x = -A and x = +Ae. nowhere
If mass is oscillating on a frictionless surface at the end of a horizontal spring, then option B states that the acceleration of the mass is zero at x=0 everywhere.
What is acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not always. An object that follows a circular path while maintaining a constant speed is still moving forward because the direction of its velocity is shifting. A point or object moving straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is constantly shifting.
Here,
When mass is oscillating on a frictionless surface at the end of a horizontal spring, the acceleration of the mass is zero at x=0, which is option B.
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Would a cart that has four solid disks for wheels have a final speed that is greater than, less
than, or equal to the final speed of a single disc that has the same mass as the cart and
wheels? Explain.
The final speed will be equal because they are independent of mass and radius.
How does bulk affect speed?Not directly, mass has an impact on speed. It establishes how quickly an object can increase its velocity (accelerate) in response to a specific force. Faster changes in speed under the same force require less time for lighter objects.At the same rate, both objects descend. If just gravity is operating on an object as it falls, mass has no bearing on how fast it travels.Speed is equal to |w|R, which is equal to the difference between the arc length traveled (S) and the change in time (t). Additionally, the radius times the absolute value of the angular displacement (||) is what determines the arc length (S) (R).To learn more about speed refer to:
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if the acceleration was constant for two seconds, what happened to the acceleration from 1 to 2 secdons
If the acceleration was constant for two seconds, that means that the acceleration did not change from 1 to 2 seconds.
Constant acceleration means that the rate of change of velocity is the same over a certain period of time. Therefore, from 1 to 2 seconds, the acceleration remained the same. The velocity of an object will change with time if the acceleration is constant.
The acceleration is the rate of change of velocity per unit of time, so if the acceleration is constant, the velocity changes at a constant rate. In this case, the object's velocity will be increasing at a constant rate during the time interval from 1 to 2 seconds.
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Three particles have the following masses ( in multiples ofm0) and move on three different circles with thefollowing speeds (in multiples of v0) and radii (inmultiples of r0):
Particle Mass Speed Radius
1 m0 2v0 r0
2 m0 3v0 3r0
3 2m0 2v0 4r0
Rank the particles according to the magnitude of thecentripetal force that acts on them, largest first.
The particles according to the magnitude of the centripetal force that acts on them, largest first is ranked as:
1 m₀ 2v₀ r₀
2 m₀ 3v₀ 3r₀
3 2m₀ 2v₀ 4r₀
What is the fundamentals to rank particles based on centripetal force?Even if travelling at a constant speed around the circle's edge, there will still be a change in velocity and, consequently, an acceleration. Towards the circle's centre, this acceleration is being applied. Furthermore, according to Newton's second law of motion, any object that experiences acceleration must also be subject to a net force. The acceleration's direction matches that of the net force.
Accordingly, an inward force must be acting on an object for it to accelerate inward when it is moving in a circle. The centripetal force requirement is a term that is occasionally used to describe this. Centripetal refers to something that seeks its centre. There is a net force acting towards the centre of an object moving in a circle.
Ranking particles based on centripetal force would be easy as we only have to follow the calculation.
Centripetal force has the following mathematical form:
[tex]$ \mathrm{ F = \frac{mv^2}{r}}[/tex]
Lets assume Particle Mass, Speed and Radius are all = 1
So,
1) [tex]\mathrm{m_0 \ 2v_0 \ r_0}[/tex]
[tex]$ \mathrm{ F_1 = \frac{m2v^2}{r}}[/tex]
[tex]$ \mathrm{ F_1 = \frac{(1)2(1)^2}{1} = 2}[/tex]
2) [tex]\mathrm{m_0 \ 3v_0 \ 3r_0}[/tex]
[tex]$ \mathrm{ F_2 = \frac{m3v^2}{3r}}[/tex]
[tex]$ \mathrm{ F_2 = \frac{(1)3(1)^2}{3} = \frac{3}{3} = 1 }[/tex]
3) [tex]\mathrm{2m_0 \ 2v_0 \ 4r_0}[/tex]
[tex]$ \mathrm{ F_3 = \frac{2m2v^2}{4r}}[/tex]
[tex]$ \mathrm{ F_3 = \frac{2(1)2(1)^2}{4} = \frac{4}{4} = 1 }[/tex]
As,
2 > 1 ≥ 1
We can rank them as,
1 m₀ 2v₀ r₀
2 m₀ 3v₀ 3r₀
3 2m₀ 2v₀ 4r₀
m is the object's mass, v is its speed or velocity, and r is its radius, where F is the centrifugal force.
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Complete question:
Two boys A and B are applying force on a block. If the block moves towards the boy A, which one of the following statements is correct? (1 mark) (a) Magnitude of force applied by A is greater than that of B. (b) Magnitude of force applied by A is smaller than that of B. (c) Net force on the block is towards B. (d) Magnitude of force applied by A is equal to that of B
Two boys A and B are applying force on a block (a) Magnitude of force applied by A is greater than that of B one of the following statements is correct.
How does Newton's law define magnitude?The formula for force is mass times acceleration, according to Newton's second equation of motion. Thus, it provides the force's magnitude, as we might state.
Magnitude is simply "distance or amount," according to the definition given in physics. It shows how an item moves while it is in motion, whether that movement is absolute, relative, or of a certain magnitude.
By deducting the bigger force's magnitude from the smaller force's magnitude, you may get the resulting force. The smaller force's direction of application matches that of the resulting force.
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find it difficult to answer
The position of the body at time t is s (t) = -3 + 2t - 2 sin(2t³).
What is the position of the body at time t?The position of the body at time t is calculated by applying the second kinematic equation as shown below.
s = s₀ + vt + ¹/₂at²
where;
v is the initial velocitys₀ is the initial positiona is the acceleration t is the timeThe position at time t is calculated as;
s (t) = -3 + 2t + ¹/₂( - 4sin 2t )t²
s (t) = -3 + 2t - 2 sin(2t³)
Thus, the final position of the body is a function of the acceleration, initial velocity and time of motion of the body.
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To what extent do you believe that Jews, christians, and Muslims use the divine command theory approach rather than egoism or act or rule utilitarianism as a basis for their ethical system
Jews, christians, and Muslims use the divine command theory rather than egoism or act or rule utilitarianism as a basis for their ethical system because of their belief that things are right because God commands them to be.
What is the idea behind the theory of divine commands?According to the Divine Command Theory, the ethically correct course of action is the one that God requires or commands because morality ultimately rests on God's instructions or character.
The idea that something is right because God has ordered it to be thus is known as the divine command theory. In other words, it implies that morally repugnant or immoral actions are wrong because God forbids them. This theory is absolutist.
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The two ropes seen in (Figure 1) are used to lower a 255 kg piano exactly 7 m from a second-story window to the ground.
A) How much work is done by w⃗ ?
B) How much work is done by T⃗ 1?
C) How much work is done by T⃗ 2?
Work done by [tex]\overrightarrow w[/tex]= 255 kg x 9.8 m/s² x 7 m = 17,890 J, while work done by [tex]\overrightarrow T[/tex] 1 = 0 = perpendicular to displacement of piano.
What is work and displacement?Work and displacement are two terms related to physics. Work is a measure of energy and is defined as the amount of energy transferred to an object when a force is applied to it over a certain distance. In other words, work is the result of a force acting on an object over a distance. Displacement is a measure of the change in position of an object over a given distance, which is the difference between the initial and final positions of the object.
A) The work done by [tex]\overrightarrow w[/tex] is 7m × 255kg × 9.81m/s² = 17,570 joules.
B) The work done by [tex]\overrightarrow T[/tex] 1 is 7m × 255kg × 9.81m/s² × cos(30°) = 13,177 joules.
C) The work done by [tex]\overrightarrow T[/tex] is 7m × 255kg × 9.81m/s² × cos(60°) = 4,393 joules.
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Complete question:
The mineral hematite has a density of 5.25 g/cm^3. The mineral magnetite has a density of 5.15 g/cm^3. You find a rock that could be either magnetite or hematite. Taking the rock back to the lab, you measure its volume to be 53 cm^3 and its mass to be 276 g. Do you know the volume and mass with enough precision to determine if the rock is either hematite or magnetite? Which mineral do you think it is?
Common iron-oxides like magnetite and hematite can be found in sedimentary, metamorphic, and igneous contexts and are linked to a wide range of deposit types.
In what mineral are magnetite and hematite found?Hematite, which is the most prevalent type of iron oxide in the earth's crust, is a chemical compound consisting of oxygen and iron (Fe2O3). Magnetite is another type of it (Fe3O4).
Hematite versus magnetite: which is the better iron?The purest iron ore, magnetite, has an extremely high iron content of up to 70%. Excellent magnetic properties make it very useful in the electrical industry. Hematite ore is the most important industrial iron ore in terms of utilisation, however it contains somewhat less iron than magnetite.
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a stone is tied to a string and whirled in a vertical circle at a radius. which of the following cannot be true?
The stone is travelling in a straight line can not be true in a vertical circle at a radius.
What is vertical circle?
A vertical circle is a path that follows a vertical line in a three-dimensional space. It is a type of circular trajectory, with the center point of the circle vertically above or below the starting and ending points of the path. Vertical circles are used in mathematics and engineering to describe the motion of objects in space. The path of a vertical circle is a helix, which is a spiral with a constant radius, and can be defined by a parametric equation. Vertical circles can be used to define the motion of a satellite, or an aircraft in a corkscrew maneuver. In terms of physics, a vertical circle is an example of a non-uniform circular motion, as the speed of the object changes throughout the path.
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Complete Question
a stone is tied to a string and whirled in a vertical circle at a radius. which of the following cannot be true?
A) The stone is travelling in a straight line
B) The stone is travelling in a circular path
C) The stone is travelling at a constant speed
D) The stone is travelling in an elliptical path
