How much current flows through the bottom wire in the figure(Figure 1) ?
Express your answer to two significant figures and include the appropriate units.
Answers
The current through the bottom of the wire is 0.415 A and the negative sign of the current indicates that current flows from left to right from the bottom wire.
The current through various parts of the circuit is as shown in figure.
Here we have to calculate the current I_5.
Applying Kirchoff's loop rule on each of the loops in the circuit, Consider the left triangle, for it, we have
[tex]$$\begin{aligned}& \left(I_1\right) 6 \Omega+\left(I_3\right) 12 \Omega-9 \mathrm{~V}=0 \\& \Rightarrow 6 I_1+12 I_3=9 \\& \Rightarrow I_1=\frac{9}{6}-\frac{12}{6} I_3 \\& \Rightarrow I_1=1.5-2 I_3-----(1)\end{aligned}$$[/tex]
For the centre of the triangle, we have
[tex]$$\begin{aligned}& \left(I_4\right) 24 \Omega-\left(I_3\right) 12 \Omega=0 \\& \Rightarrow I_4=\frac{12}{24} I_3 \\& \Rightarrow I_4=\frac{I_3}{2}-----(2)\end{aligned}$$[/tex]
And for the right triangle, we have
[tex]$$\begin{aligned}& \left(I_2\right) 10 \Omega+\left(I_4\right) 24 \Omega-15 \mathrm{~V}=0 \\& \Rightarrow I_2=\frac{15}{10}-\frac{24}{10} I_4 \\& \Rightarrow I_2=1.5-2.4 I_4------(3)\end{aligned}$$[/tex]
The junction rule applied at the left corner gives
I_1 =I_3+I_5
=I_5 =I_1-I_3
=1.5-2 I_3-(I_3)=1.5-3 I_3--------(4)
And applying the junction rule at the right corner,
I_4 =I_2+I_5
I_5 =I_4-I_2
=I_4-(1.5-2.4 I_4)=3.4 I_4-1.5-------(5)
Using equation (2) [tex]$I_4=\frac{I_3}{2}$[/tex], equation (5) can be written as
[tex]$$\begin{aligned}I_5 & =3.4\left(\frac{I_3}{2}\right)-1.5 \\\end{aligned}$$[/tex]==1.7 I_3-1.5
Solving equations (4) and (6), we have
1.5-3 I_3=1.7 I_3-1.5
(1.5+1.5)=(1.7+3.0) I_3
3.0=4.7 I_3
[tex]\Rightarrow I_3=\frac{3.0}{4.7} \mathrm{~A}[/tex]
Hence the current in the bottom wire is given by
[tex]I_5 & =1.7\left(\frac{3.0}{4.7}\right)-1.5 \\[/tex] =1.085-1.5 =-0.415 A
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Related Questions
A simple pendulum has length L and period T. As it passes through its equilibrium position, the string is suddenly clamped at its mid-point. The period then becomes:
Answers
The new period would be T/2.
The period of a simple pendulum is given by T = 2π √(L/g), where,
L is the length of the pendulum g is the acceleration due to gravity.When the string is clamped at its midpoint, the length of the pendulum is effectively halved.
So the new period would be T' = 2π √(L/2g) =π √(L/g) = T/2.
Period of Simple Pendulum:
The period of a simple pendulum is the time it takes for the pendulum to complete one full oscillation, or swing back and forth. It is determined by the length of the pendulum (L) and the acceleration due to gravity (g). The mathematical formula for the period of a simple pendulum is T = 2π √(L/g).The length L of the pendulum is the distance from the pivot point (the point at which the pendulum is attached) to the center of mass of the pendulum bob (the weight at the bottom of the pendulum). The longer the pendulum, the longer the period will be.The acceleration due to gravity (g) is a constant value of approximately 9.8 m/s^2 on the surface of the Earth. The value of g is used in the formula because the force of gravity is what causes the pendulum to oscillate.It's important to note that the period of a simple pendulum is independent of the amplitude of the oscillations (the angle at the pendulum is displaced from its equilibrium position), as long as the amplitude is small enough that the pendulum's motion can be considered simple harmonic motion.Learn more about Simple Pendulum here;
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Determine the missing forces A-H
Answers
The missing forces in the diagram given are: A = 50 N; B = 200 N; C = 1100 N; D = 20 N; E = 300 N; F = 0 N; G = 50 N and H = 0 N.
What is resultant force?In physics and engineering, a resultant force is a single force and associated torque obtained by combining a system of forces and torques acting on a rigid body by vector addition. The characteristic of a resultant force or force-torque is that it has the same effect on a rigid body as the original force system. The resulting forces on the body are calculated and visualized by computational analysis or (for sufficiently simple systems) by free-body diagrams.
For A and B:
Since net force is zero the applied forces in all four direction will be equal but opposite.
So A will be 50 N and B will be 200 N.
For C:
The net force is 900 N;
C = 900 + 200
C = 1100 N
For D and E:
The net force is 60 N left; this means the net upward or downward force acting on the object is zero.
So E = 300 N
D = 80 - 60
D = 20 N
For F, G and H:
The net force is 30 N right; this means the net upward or downward force acting on the object is zero.
So F and H will be zero.
G = 20 + 30
G = 50 N
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With the Sun and Moon in this position, what does the side of the earth facing the moon experience? ft Select one O A a normal high tide B. a neap high tide C. a spring high tide D. a spring low tide a neap low tide F a normal low tide age
Answers
With the Sun and Moon in this position, the side of the earth facing the moon experiences a spring high tide. Thus Option C is the answer.
A spring tide is a tide that occurs when the gravitational pull of the Moon and the Sun are in alignment. During a new moon or full moon phase, the gravitational pull of the Moon and the Sun combine to produce stronger than normal high tides and stronger than normal low tides. The term "spring tide" does not refer to the season of spring, but rather the tide's "springing forth" of water.
During a spring tide, the difference between high tide and low tide is at its greatest, and the water level rises higher and falls lower than during a neap tide. This is because the gravitational pull of the Moon and Sun are working together to produce the tide, rather than against each other. This results in a high tide that is higher than a normal high tide, referred to as a spring high tide.
It is important to note that spring tides occur twice a month, around the time of the new and full moon, when the Moon and Sun are in alignment.
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Why is 90-degree angle important?
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90-degree angles are used as reference points for measuring other angles and for defining trigonometric functions and vector relationships.
In trigonometry, the sine, cosine, and tangent functions are defined in terms of the ratios of the sides of a right triangle, where one angle is 90 degrees. In addition, in vector calculus, the dot product and cross product of two vectors are often defined in terms of the angle between the vectors, and a 90-degree angle represents a perpendicular or orthogonal relationship between the vectors. The 90-degree angle is also important in mechanics and engineering as it is used to define the concept of torque, which is the rotational equivalent of linear force. Torque is defined as the product of a force and the perpendicular distance from the line of action of the force to the axis of rotation. Furthermore, it is also used to define the concepts of stress, strain and moment of inertia in strength of materials and mechanics.
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Determine the quantity of charge on a plastic tube which has been rubbed with animal fur and gained 3. 8 x 10^9 electrons
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The quantity of charge on a plastic tube that has been rubbed with animal fur and gained 3. 8 x 10^9 electrons is The quantity of charge on the plastic tube is 3.8 x 10^9 electrons.
The quantity of charge on the plastic tube is 3.8 x 10^9 electrons. To calculate this value, we can use the equation q = n*e, where q is the charge, n is the number of electrons and e is the elementary charge (1.6 x 10^-19 C). Substituting in the values given, we get q = 3.8 x 10^9 * 1.6 x 10^-19 = 6.08 x 10^-10 C. This means that the plastic tube has gained a charge of 6.08 x 10^-10 Coulombs, which is equivalent to 3.8 x 10^9 electrons.
This can be explained by the process of triboelectricity, which is the transfer of electrons between two materials due to rubbing them together. In this case, the animal fur must have had a higher electron affinity than the plastic, which caused electrons to be transferred from the fur to the plastic tube.
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To ensure your battery's longevity, you should keep the area where cables are connected to the positive and negative poles clean. T/F
Answers
True. Keeping the terminals and cable connections clean helps to ensure a good electrical connection, which can prolong the life of the battery.
Keeping the terminals and cable connections of a battery clean is important for prolonging the battery's life. Dirt, corrosion, or other buildup on the terminals can create resistance in the circuit, which can lead to overheating and damage to the battery. This can cause the battery to charge and discharge less efficiently, reducing its overall capacity and lifespan. To clean the terminals, you can use a wire brush or a toothbrush with baking soda and water to scrub away any corrosion. Then, dry the terminals and cables thoroughly before reconnecting them to the battery. This will ensure a good electrical connection and a longer-lasting battery.
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How do you calculate the fall of a ramp?
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The fall of the ramp can be calculated by the falling style of the ramp. like if the ramp is falling in the rolling motion, then we can calculate the fall of the ramp by the process by which we calculate of the rolling motion of any object.
Rolling motion happens when an object roll over from a ramp or any other sloppy surface whether it is rough or smooth. many forces act on it at the same moment. also in many forces rolling tangential force and gravitational force is also acting on it at the same moment. in which the gravitational force is acting on it at a bigger pace and plays an important role in rolling of the object from the ramp or any other sloppy surface. hence, by this information we can firmly consider that a heavier object go down a ramp at a same pace as a lighter object go down a ramp because of gravitational force acting on it in a major form.
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The spring in a scale stretches 1 centimeter when a 5-newton object hangs from it. How much does an object weigh if it stretches the spring 2 centimeters
Answers
The spring in a scale stretches 1 centimetres when a 5 newton object hangs from it. The required weight of an object is 10 N if it stretches the spring 2 centimetres.
Hooke's law tells us that, F = -kx
where, k is the spring constant
x is the distance stretched by a spring
F is the force
Given that,
Length x₁ = 1 cm
Force F₁ = 5 N
Length x₂ = 2 cm
F₂ = ?
From the above equation, we can write,
F₁/x₁ = F₂/x₂
Making F₂ as subject, we have,
F₂ = F₁/x₁ × x₂ = 5/1 × 2 = 10 N
Thus, the required weight of an object is 10 N if it stretches the spring 2 centimetres.
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What is the process called when the ice reaches the coast breaks off to form icebergs that are then carried out to sea?
Answers
The process of breaking of ice from the edge of the glaciers and then carried out to sea is known as calving.
Calving of glaciers is usually accompanied by a loud cracking sound or booming sound.
A huge glacier or polar ice that has broken off and floated into the sea is what creates an iceberg. The iceberg is composed of fresh water, just like the glaciers or ice in the North Pole. Since freshwater is less thick than salty seawater, icebergs float in the water.
When a rift develops in a glacier's margin as a result of ice melting, wind or water erosion, or other factors that make the glacier unstable, the calving process begins. A block eventually separates from the land, forming an iceberg that crashes into the water.
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humans taste food mostly because of:
Answers
Answer:
taste buds
Explanation:
very sensitive microscopic hairs called microvilli. The tiny hairs send messages to the brain about how something tastes, so you know if it's sweet, sour, bitter, or salty
The power required to exert 1 N force, over a distance of 1 m in 1 second is. A) 1 W. B) 2 W. C) 1/3 W. D) 3 W. E) none of these.
Answers
Answer:
A) E = 1 N * d = 1 Newton-Meter = 1 Joule
P(ower) = E / t = 1 N-m / t = 1 Joule / sec = 1 W
A lighthouse that rises 49 feet above the surface of the water sits on a rocky cliff that extends 19 feet from the base. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 30.0 degrees about the horizontal.
If the sailor’s eye level is 14 feet above the water, how far is the ship from the rocks?
Answers
If the sailor’s eye level is 14 feet above the water, So the ship from the rocks is 41.62 feet far from the sailor.
The main concepts required to solve this problem are the trigonometric properties and the distance. Later, use the tangent function and substitute the values. Finally, rearrange the tangent equation to calculate the distance of the ship from the rocks.
tan30.0°=35ft./19ft.+x
1/√3=35ft./19ft.+x
x=(35ft.) ([Equation]3)-19ft.
=41.62ft.
A tangent equation is an equation that describes a line that touches a given curve at a single point. It is usually expressed in the form y=mx+b, where m is the slope of the line and b is the y-intercept. To find the equation of a tangent, one must calculate the slope of the line at the point of tangency. This can be done by taking the derivative of the equation of the curve at that point.
The derivative will be the slope of the tangent, so this can be substituted into the tangent equation. The y-intercept can be found by plugging the x-coordinate of the point of tangency into the equation of the curve and solving for y. This will give you the y-intercept of the tangent equation. Through this process, one can find the equation of a tangent to any given curve.
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A magnetic field of magnitude 0.37 T0.37 T is directed vertically upward.
(a) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is vertical.
(b) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is horizontal.
(c) Find the magnetic flux through a flat surface of area 19 cm219 cm2 if the surface is at angle of 64∘64∘ with the horizontal.
Answers
The equation represents the force on a wire in a magnetic field (B) that is length L and carrying current I. where θ is the angle created by the magnetic field and the wire, and F=ILBsin.
What is magnetic flux, exactly?The number of total of magnetic field line that travel through a specific closed surface is known as the magnetic flux. It provides a method to calculate the overall magnetic field which passes across a particular surface area.
What is the magnetic flux unit?Magnetic flux is measured in SI units by the Weber (Wb). Tesla is equal to one Weber per sq meter of flux density (T). Numerous additional units are routinely used to express the Weber unit.
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An error that occurs consistently in one direction, such as a scale that weighs everyone two pounds more than their true weight, is known as a:
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A systematic error is one that constantly occurs in one direction, for as when a scale consistently overestimates everyone's weight by two pounds.
If an error changes in the same direction throughout time, it is said to be systematic. For instance, if something always or frequently caused the blood pressure to increase right before the measurements were to be taken, this could occur when taking blood pressure.One measurement may slightly differ from the next due to random error. It results from unanticipated changes that occur throughout an experiment. When a reading is taken consistently each time, systematic error always impacts measurements in exactly the same way or to exactly the same degree. It is foreseeable.To know more about error here
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A toy car move around a loop-the-loop track. The loop i 0. 5 high. What i the minimum peed of the car at the top of the loop for it to tay on track?
Pleae work it!!
I found all the anwer are 1. 57m/ but it i
0. 78m/
Answers
The minimum speed of the car at the top of the loop for it to stay on track be 1.57 m/s.
What is speed?The speed of an item, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time.The speed at which an object's location changes in any direction.The distance traveled in relation to the time it took to travel that distance is how speed is defined.As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.To learn more about speed refer to:
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If you have a set of holiday lights that is on a series circuit, predict what would happen if the series circuit were cut off in the middle. Infer how this would differ from what would happen with a parallel circuit.
Answers
If the series circuit that powers your holiday lights were to be severed in the middle. The lights would all stop functioning. Only one light would stop working if the lights were linked in parallel circuit.
A series circuit is a straightforward circuit that enables electrons to go between one or more resistors. A resistor is anything that drains energy from a cell (battery). The resistor in a series circuit is typically a lightbulb. A series circuit is one in which the entire current flows through each element. A series circuit is a straightforward circuit that enables electrons to go between one or more resistors.
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Breaking a Glass Soda Botle A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water. (Figure 1) The top of the bottle has a diameter of Dtop-2.00 cm and the bottom of the bottle has a diameter of Dbot 6.50 cm. The glass breaks when it is exposed to Pmax = 70.0 MPa of pressure A student hits the cork sharply with her fist and the bottom of the bottle breaks. The student's fist has a mass of m = 0.480 kg and moves downward at a speed of vi = 5.00 m/s. It collides elastically with the cork and rebounds with the same speed. The collision lasts for t 1.20×10-4 s . In this problem, the positive direction is upward Part A What is the force that her fist exerts on the top of the bottle? Express your answer in newtons to three significant figures Hints 4.00x104 N Submit My Answers Give Up Correct Part B What is the magnitude of the force exerted on the bottom of the bottle?
Answers
The force exerted on the top of the bottle is given by the impulse-momentum theorem, which states that the impulse (change in momentum) of an object is equal to the force applied to the object multiplied by the time over which the force is applied.
F = (m * vi) / t = (0.480 kg * 5.00 m/s) / 1.20×10-4 s = 4.00x104 N
The force exerted on the bottom of the bottle is equal to the pressure (P) multiplied by the area (A) of the bottom of the bottle.
A = (Pi/4) * (Dbot^2) = (Pi/4) * (6.50 cm)^2 = 90.79 cm^2
F = P * A = 70.0 MPa * 90.79 cm^2 = 6.36x10^5 N
How to calculate force in physics?In physics, force is calculated using the formula: force = mass x acceleration (F = ma). The unit of force is typically the Newton (N). To calculate force, you need to know the mass of the object and the acceleration it is experiencing. Once you have that information, you can substitute it into the formula and solve for force.
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Press the hotspot that indicates the location that a string will experience the least tension during vertical circular motion. Assume that the speed of the ball remains constant.
which one will experience the least tension t3 t2 t1 or t4
Answers
The least tension will be experienced by T3
The weight of a moving object causes tension, which is the force applied along the length of a string, rope, or cable. The force that maintains an object moving in a circular direction when it is in a vertical circular motion is called tension. Perpendicular to the circle's radius, the tension in the string is pointed in the direction of the circle's centre.
Due to the centripetal force required to maintain the object moving in a circular motion, the tension in the string varies as the object moves in a vertical circle, with the highest tension occurring at the top of the circle and the least tension occurring at the bottom. In the given case, T3 will experience the least tension during vertical circular motion, assuming that the speed of the ball remains constant. This is because T3 is the point on the string that is closest to the circle's centre, and thus is subject to the least amount of tension as the ball moves in a vertical circle.
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when a falling firecracker explodes, the momenta of its pieces _______.
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when a falling firecracker explodes, the momenta of its pieces vectorially add up to equal the initial momentum of the firecracker.
When the firecracker bursts, the vector sum of the momenta of its fragments adds up to the firecracker’s momentum just before bursting.
A falling firecracker explodes into two pieces. The momenta of the fragments combine by vector rules to equal the original momentum of the falling firecracker. Momentum is equal to mass multiplied by velocity.
According to the conservation of momentum, the initial momentum of the system is equal to the final momentum. The condition for the validity of momentum conservation is that no external force should exert on the system.
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When charging by induction using grounding, if a negative rod is used, the object will acquire a ______ charge
Answers
When a positively charged rod becomes grounded it becomes neutral. The electrons come from the ground to your hand, then from your hand to the rod making the rod become neutral.
What is happening when a negatively charged rod becomes grounded?Both of the charged objects receive the same kind of charge when charging through conduction. Both things acquire a negative charge when a negative object is used to charge a neutral object.
The neutral sphere needs electrons from the negatively charged rod in order to become negative. 3. To demonstrate how charging by contact works, we'll first look at the scenario of charging a neutral needle electroscope with a negatively charged metal spherical.
Understanding the process necessitates an understanding of how like charges resist one another and have a strong desire to spread out as widely as possible in order to lessen their repulsions. The extra electrons in a negatively charged metal sphere repel one another and move as far apart from one another as possible.
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When charging by induction using grounding, if a negative rod is used, the object will acquire a positive charge.
What is charging by induction?A charging technique called induction charging involves charging a thing without actually contacting it to another charged object. The charged particle is held close to an uncharged substance which is conductive also, that is grounded on a neutrally charged material during the charging by induction process.This method of charging involves using a charged object to help a neutral object become charged without actually touching the objects. The neutral or uncharged conductor, which is grounded on a neutrally charged substance, is brought closer to the charged particle. If a charge is transferred between two objects, an oppositely polarized charge will emerge in the uncharged conducting material.
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a car weighs 3600 kg is traveling at 21.0 m/s. the driver doesn?t notice a red light and rear-ends another car at rest. both cars stick together and move with a speed of 9.0 m/s. what is the mass of the car that was at rest?
Answers
Answer:
Below
Explanation:
Use law of conservation of momentum
momentum before crash = momentum of the system after crash
3600 kg * 21 m/s = (3600+ x ) * 9
solve for x = 4800 kg
Les mélange et le transformations de la matiers
Answers
Les molécules sont arrangées autrement, ce qui modifie l'aspect ou l'état de l'espèce chimique. Un mélange est une substance composée de plusieurs espèces chimiques qui ne réagissent pas ensemble, au contraire de la transformation chimique. Il s'agit donc d'une transformation physique, qui ne change pas la matière.
1. A Major League pitcher can give a 0. 142-kg base-
ball a speed of 45. 1 m/s. Find the magnitude of the
baseball's momentum.
Answers
The baseball's momentum will be 2.75 m/s in magnitude. This is the accurate answer to the given problem.
What are velocity and momentum?Momentum and velocity are different in that momentum is a measurement of an object's amount of motion, whereas velocity is a measurement of an object's speed with direction. Velocity is one of the components of momentum since momentum is equal to an object's mass multiplied by its speed.
Is speed the same as momentum?p = m v . The equation demonstrates that momentum is directly related to an object's mass (m) and velocity (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.
Briefing:P initial = (145g) x (45 m/s) = 6525 g*m/s
F = 0-6525/1.0s = -6525N
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A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force of magnitude 6.0 N and a vertical force are then applied to the block (Fig. 6-17). The coefficients of friction for the block and surface are ms 0.40 and mk 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of is (a) 8.0 N, (b) 10 N, and (c) 12 N.
Answers
Kinetic friction force, or f k = k F N = 3.1N, is the amount of frictional force acting on the block.
Static friction is the friction that exists between two systems when they are in contact and immobile with respect to one another. Kinetic friction is the term for the resistance that exists between two systems while they are in contact and moving in relation to one another.
Calculation:Either static or kinetic friction We decide on +x right and +y up. Applying Newton's second law to these axes:
F−f=ma
P+F n −mg=0
where F=6.0 N and m=2.5 kg is the mass of the block.
(a) P=8.0 N in this scenario results inF N =(2.5kg)(9.8m/s 2 )–10N=14.5N.
This implies ,fs, max =μ s F N=6.6N, which is larger than the 6.0N rightward force. The block, which was previously at rest, stays in place as a result.
Putting a = 0
f=P=6.0 N is the static friction force that results from plugging the first of our equations above.
(b) With P=10 N in this instance, the normal force isThis suggests that, fs, max = s F N =5.8N, which is smaller than the 6.0 N rightward
force, which causes the block to move. Therefore, we are working with kinetic data instead of static data.
Eq. reveals that friction is f k = k F N =3.6 N.
(c) In the last scenario, P=12 N results in FN=12.5 N and fs, max = s F N = 5.0N.which (as expected) is less than the 6.0 N rightward force. Thus, the block moves. The kinetic friction force, then, is f k =μ k F N =3.1N.
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A 1. 5-mole sample of an ideal gas is gently cooled at constant temperature 320 K. It contracts
from initial volume 19 L to final volume V2. A total of 1. 2 kJ of heat is removed from the gas during the contraction process. What is V2? Let the ideal-gas constant R = 8. 314 J/(mol. K).
Answers
A mole sample of an ideal gas is gently cooled at constant temperature 320 K.
What happens when gas is cooled at constant temperature?Since the internal energy of an ideal gas is proportional to temperature, it does not change when the temperature is held constant. The first law, which governs changes in internal energy, changes to 0 = Q - W, resulting in Q = W. Both the temperature and the volume of the gas decrease as it cools at a constant pressure. The fundamental behaviour of fluids with respect to volume, pressure, and temperature is described by Boyle's, Charles', and Gay Lussac's Laws. When heat is applied at constant pressure, some of it is utilised to cause gas to expand while the remainder is used to raise the gas' temperature, which increases the gas' internal energy.To learn more about constant temperature refer to:
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A car traveling at a constant speed covers a distance of 750 m in 25 s.What is the cars speed
Answers
Answer:
30 m/s
Explanation:
Answer:
The speed is equal to Distance divided by Time.
The SI Unit of Speed is m/s or meters per second.
V = S/T
= 750/25
= 30 m/s
If hydrogen gives off 10 units of energy, but takes 15 units of energy to produce, what is its net energy ratio
Answers
The net energy ratio of hydrogen is 0.67.
What is net energy ratio?The net energy ratio, also known as energy return on investment (EROI), is a measure of the efficiency of a fuel source or energy system. It represents the ratio of the energy output to the energy input, or the amount of energy that is produced compared to the amount of energy that is required to produce it.
A net energy ratio of 1 means that the energy output is equal to the energy input, and that no net energy is produced.
In the case of hydrogen, it gives off 10 units of energy but takes 15 units of energy to produce, so the net energy ratio would be:
Energy output / Energy input = 10 units / 15 units = 0.67
Hence, the net energy ratio of hydrogen is 0.67. This means that for every 1 unit of energy put into producing hydrogen, only 0.67 units of energy are obtained.
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How is coal extracted from mountaintop removal mines? (site 2)
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Coal is extracted from mountain top by removal of top soil and the use of explosives.
What is a coal?A coal is definitely as the solid substance that is made up of mainly carbon and other constituent elements such as hydrogen, sulfur, oxygen, and nitrogen.
The uses of coal include the following:
cement production, carbon fibers and foams, medicines, tars, synthetic petroleum-based fuels, and home and commercial heating.To extract coal from the mountain top the following is carried out:
The top soil of the area involved us being removed and
Explosives are then used to expose the underlying coal seams.
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What is the total distance the particle travels from t 0 to t 4?
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the whole distance is five. The main point is that you must be aware of if and when the particle reverses course.
In order to determine the velocity, differentiate the displacement and set it to zero.
It is obvious that at t=1, the velocity is zero.
S=3 is the starting location at time t=0. At t=1,s=2 \s.
The total distance traveled is 1.
The additional distance traveled is 62=4 at time t=3 and s=6.
Thus, the whole distance is five.
L=30|s′(t)|dt=30|2t2|dt=1022tdt+312t2dt=5 is the length of the image of s|[0,3] and represents the total distance traveled between t=0 and t=3. .
When calculating the traveled distance of a particle satisfying the law of motion s(t) between t=a and t=b, another method that can be used if you are unfamiliar with the arc length formula is to first determine the critical points in (a,b), such as t1tk, and then multiply those values by the following formula: |s(t1)s(a)|+|s(t2)s(t0)|++|s(b) Since there is just one critical moment in your particular scenario, t=1, L=|s(1)s(0)|+|s(3)s(1)|=1+4.
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A myopic person sees that her eyeglasses perscription is -4.00 D, for eyeglasses positioned 1.75 cm from her eyes. What is her far point?
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After solving the problem the person's far point is 25 cm
What is myopic person?
A myopic person is someone who is near sighted and is unable to clearly see objects that are far away. This is caused by the eyeball being too long and the cornea having too much curvature. Light entering the eye is focused in front of the retina rather than directly on it, resulting in blurred vision for distant objects. Myopia is a common eye condition and can usually be corrected with glasses or contact lenses. In more severe cases, laser surgery may be necessary. People with myopia may need to wear their glasses or contact lenses all the time in order to see clearly, but they may be able to take them off when they are close to something they want to see clearly.
The far point is the farthest distance at which a person can see clearly without any corrective lenses.
The formula for calculating far point is 1/f = 1/d + 1/p, where f is the far point, d is the distance from the eye to the lens (1.75 cm in this case), and p is the power of the lens (in diopters) which is -4.00 D.
Plugging the values into the formula yields 1/f = 1/1.75 + 1/-4.00, which simplifies to 1/f = 4.00 - 0.5714. Solving for f gives f = 0.2500, or 25 cm.
Therefore, the person's far point is 25 cm.
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