40 degrees Celsius equals 104 degrees Fahrenheit. We use the formula: F = (C x 1.8) + 32
40 degrees Celsius equals 104 degrees Fahrenheit. The Fahrenheit and Celsius scales are two common temperature measurement systems used around the world. The Celsius scale is based on the freezing and boiling points of water, where 0 degrees Celsius is the freezing point and 100 degrees Celsius is the boiling point at standard atmospheric pressure. In contrast, the Fahrenheit scale is based on a system where 32 degrees Fahrenheit is the freezing point and 212 degrees Fahrenheit is the boiling point of water at standard atmospheric pressure.
To convert Celsius to Fahrenheit, you can use the formula:
F = (C x 1.8) + 32
Therefore, 40 degrees Celsius multiplied by 1.8 and then adding 32 equals 104 degrees Fahrenheit
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where did darwin do most of the work which led to his hypothisis on evolution
Answer:
He collected many specimens of the finches on the Galapagos Islands. These specimens and his notebooks provided Darwin with a record of his observations as he developed the theory of evolution through natural selection.
What is equation for power ?
Answer:
Explanation:
Power is defined as the rate at which work is done
Power = work/time and is measured in Watts
how to find the velocity
To find velocity, you need to divide the distance traveled and the time it took to travel that distance.
Velocity is a vector quantity that indicates the rate of change of an object's position in a given direction. It is calculated by dividing the change in position of an object by the time interval over which the change occurred.
The formula for velocity is,
velocity = distance / time
For example, if a car traveled 100 meters in 10 seconds, the velocity would be,
velocity = 100 meters / 10 seconds
velocity = 10 meters per second
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A stone is dropped from the top of a tall building and at the same time another stone is thrown vertically upwards from the ground level with a velocity of 20m/s. The stones meet at exactly 5s after their release. Calculate the height of the building? (g=10m/s²)
The height of the building is 42.4 meters.
What is the height of the building?
Let's call the height of the building "h". We can use the following kinematic equations to solve for "h":
For the stone that is dropped from the top of the building:
h = (1/2)gt² (Equation 1)
For the stone that is thrown upwards from the ground:
y = vt - (1/2)gt² (Equation 2)
where;
y is the distance travelled by the stone upwards from the ground andv is the initial velocity of the stone (which is 20 m/s in this case).We know that the two stones meet at exactly 5s after their release. This means that the distance travelled by the stone thrown upwards from the ground is equal to the height of the building, i.e.,
y = h
We can substitute this equation into Equation 2 and rearrange it to solve for "t":
h = vt - (1/2)gt²
h = 20t - (1/2)gt²
t = (2h/g - 20)/(-1) (Equation 3)
Now we can substitute Equation 3 into Equation 1 and solve for "h":
h = (1/2)g((2h/g - 20)/(-1))²
h = (1/2)g(2h/g - 20)²
h = (1/2)g(4h²/g² - 80h/g + 400)
Simplifying this equation by multiplying everything by 2g and moving all the terms to one side, we get:
4h² - 160h - 400 = 0
Solving this quadratic equation using the quadratic formula, we get:
h = (160 ± sqrt(160² + 4(4)(400))) / (2(4))
h = (160 ± sqrt(32,000)) / 8
We can ignore the negative solution, so:
h = (160 + 178.88) / 8
h = 42.4 meters
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this suspicious form was recovered from a nodule biopsy. it measures 300 µm in length and lacks a sheath. identify the suspicious form.
Onchocerca volvulus microfilaria
The only microfilarial option without a sheath that is frequently found in nodule biopsies is Onchocerca volvulus.
Infected people may have trypanosoma trypomastigotes, which measure 15-20 m, in their blood, lymphatic fluid, or CSF.A pseudoparasite is a false identification of something that could be mistaken for a parasite. Comparing Wuchereria bancrofti microfilaria to Onchocera microfilaria, they are sheathed and a little bit smaller in size. The lymphatic tissues, particularly those in the lower limbs, are home to W. bancrofti microfilaria. The lifetime risk of thyroid cancer is 1.1% for the population of the United States. A fine needle aspiration biopsy is typically the next step when a thyroid nodule is worrisome, meaning it exhibits traits that could indicate thyroid cancer (FNAB) . When a follicular or hurtle cell induced lesion is the diagnosis, a thyroid biopsy is considered "suspicious." Normal thyroid cells include follicular and hurtle cells. The current analysis of thyroid biopsy data cannot distinguish between noncancerous adenomas and follicular or hurtle cell carcinoma.
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A pool ball of mass 100 g and velocity (5, -4) m/s collides with a stationary pool bar of the same mass. After the collision, one of the pool balls has a velocity (2, -3) m/s. Find the velocity of the other pool ball.
The velocity of the other pool ball is (3, -1) m/s.
How solve this problem?We can solve this problem using the principle of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.
Let the initial velocity of the stationary pool bar be (0,0) m/s. The initial momentum of the system is:
p_initial = m1 * v1 + m2 * v2
where m1 and m2 are the masses of the pool balls, and v1 and v2 are their initial velocities.
Substituting the given values, we have:
p_initial = 0.1 kg * (5, -4) m/s + 0.1 kg * (0,0) m/s
= (0.5, -0.4) kg m/s
After the collision, the total momentum of the system is still conserved, but now we have one ball at rest and the other moving with a velocity of (2, -3) m/s. Let the velocity of the other pool ball be (vx, vy) m/s. Then we have:
p_final = m1 * (2, -3) m/s + m2 * (vx, vy) m/s
where m1 and m2 are still the masses of the pool balls.
Setting the initial and final momenta equal and solving for (vx, vy), we get:
p_initial = p_final
0.5, -0.4 = 0.1 * (2, -3) + 0.1 * (vx, vy)
0.5, -0.4 = (0.2, -0.3) + (0.1vx, 0.1vy)
0.5 - 0.2 = 0.1vx
-0.4 + 0.3 = 0.1vy
vx = 3 m/s
vy = -1 m/s
Therefore, the velocity of the other pool ball is (3, -1) m/s.
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What does 35.5 Celsius mean in Fahrenheit?
In Fahrenheit, 35.5 degrees Celsius is equivalent to 127.9 degrees.
Use the formula below for the convert 35.5 degrees Celsius to Fahrenheit:
°F = (°C x 1.8) + 32
The process of translating a temperature from one scale to another is referred to as temperature conversion. Temperature conversions between the several regularly used temperature scales, including Celsius, Fahrenheit, and Kelvin, are frequently required.
where the temperature is expressed in degrees Fahrenheit (°F) and degrees Celsius (°C).
Plugging in 35.5 degrees Celsius yields the following results:
°F = (35.5 x 1.8) + 32 °F
=> 95.9 + 32 °F
=> 127.9
As a result, 35.5 Celsius is equivalent to 127.9 Fahrenheit.
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The following vectors would carry me how far left or right (x-direction only):
A = 230<15o
B = 120<237o
C = 212<188o
Question 2 options:
A)10. 9 Right
B) 70. 6 Left
C) 10. 9 Left
D) 53. 1 Left
The vector A carries you 222.487 units to the right, vector B carries you 86.424 units to the left, and vector C carries you 42.324 units to the left in the x-direction
To determine the x-direction component of each vector, we need to use trigonometry. We can use the cosine function to find the x-component of each vector since cosine gives the adjacent side length of a right triangle.
For vector A:
The length of the adjacent side (x-component) is given by: cos(15°) = 0.9659
The x-component of vector A is therefore: 230 x 0.9659 = 222.487
For vector B:
The length of the adjacent side (x-component) is given by: cos(237°) = -0.7252 (since cosine is negative in the second and third quadrants)
The x-component of vector B is therefore: 120 x -0.7252 = -86.424
For vector C:
The length of the adjacent side (x-component) is given by: cos(188°) = -0.1997 (since cosine is negative in the second and third quadrants)
The x-component of vector C is therefore: 212 x -0.1997 = -42.324
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According to general relativity, earth goes around the sun rather than flying straight off into space because___
According to general relativity, Earth goes around the sun rather than flying straight off into space because of the curvature of spacetime caused by the mass of the sun.
The general theory of relativity explains how gravity is actually caused by the curvature of spacetime and not by any actual force at all. The mass of the sun bends spacetime, which in the case of the Earth orbiting the sun causes the Earth to move on a curved orbit. The orbit of the Earth is visible as a curving path.
The Earth would indeed continue to move in a straight line if it weren't for the sun's mass's effect on the curvature of spacetime. But, general relativity offers a more thorough understanding of gravity and demonstrates that the Earth's and other solar system objects' motions are caused by the curvature of spacetime.
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Suppose the electric force between two charged objects is 85 N. If each object had 0. 6 times as much charge, what would be the electric force between them?
The electric force between the two charged objects, if they were 0.6 times more charged, would be 30.6 N.
According to Coulomb's Law, the electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The equation for Coulomb's Law is: F = kQ₁Q₂/r² where:
F is the electric force, k is the Coulomb constant, Q₁ and Q₂ are the charges of the objectsr is the distance between them.In this case, if each object had 0.6 times as much charge, the electric force between them would be:
F' = k(0.6Q₁)(0.6Q₂)/r² =
F' = (0.6)(0.6)kQ₁Q₂/r²
F' = 0.36kQ₁Q₂/r² ´
F' = 0.36F
Therefore, the electric force between the two charged objects would be 0.36 times the original force, or 0.36(85 N) = 30.6 N. So, the electric force between the two charged objects would be 30.6 N.
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The electric force between them would be 30.6 N.
The electric force between two charged objects can be calculated using Coulomb's Law:
F = kq1q2 / r^2
Where F is the electric force, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the charges on the objects, and r is the distance between them.
If each object had 0.6 times as much charge, then the new charges would be:
q1' = 0.6q1
q2' = 0.6q2
Substituting these values into Coulomb's Law gives us:
F' = k(0.6q1)(0.6q2) / r^2
F' = (0.6)^2 * kq1q2 / r^2
F' = 0.36 * F
So the new electric force would be 0.36 times the original electric force:
F' = 0.36 * 85 N
F' = 30.6 N
Therefore, if each object had 0.6 times as much charge, the electric force between them would be 30.6 N.
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a rubber ball bounces off of a wall with an initial speed v and reverses its direction so its speed is v right after the bounce. as a result of this bounce, which of the following quantities of the ball are conserved? (there could be more than one correct choice.) a) the momentum of the ball b) both the momentum and the kinetic energy of the ball c) the kinetic energy of the ball d) none of the above quantities are conserved.
Here, both the momentum and kinetic energy of he ball are conserved. There is no change in the magnitude of the speed thus, its kinetic energy is conserved.
What is kinetic energy ?The kinetic energy of an object is the energy generated by virtue of its motion. It is related to its mass and velocity by the expression written below:
Ke = 1/2 mv²
The momentum of an object is the product of its mass and velocity. For an elastic collision both momentum and kinetic energy is conserved. But in the case of an inelastic collision, there is some energy loss and the kinetic energy is not conserved but momentum is conserved.
Here, the ball bounces by colliding with the floor, where its direction is changing but not the magnitude of speed. Hence, both the momentum and kinetic energy are conserved.
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what is called the term for the branch of science that studies atoms
The branch of science that studies atoms is called atomic physics.
Atomic physics is the branch of physics that studies the structure of atoms and the interactions between them. It also covers the theories and principles behind the behaviour of atomic particles, such as electrons and protons. Atomic physics has many applications in fields such as chemistry, engineering, and medicine.Atomic physics is the study of atoms, their structure, and their interactions with other particles and fields. It is a sub-discipline of physics that deals with the behavior and properties of atoms. Atomic physics is concerned with the arrangement of electrons around the nucleus, the forces that hold them together, the energy levels of the different types of atoms, and the way in which they interact with light and other particles.
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the factors that influence the strength of gravity between two objects are their mass and their
The factors that influence the strength of gravity between two objects are their mass and their distance apart.
Gravity is a force that exists between any two objects with mass, pulling them towards each other. The strength of this force depends on the masses of the two objects and the distance between them. The greater the mass of the objects, the stronger the gravitational force between them.
However, the gravitational force weakens as the distance between the two objects increases. This relationship is described by the inverse square law, which states that the force of gravity is inversely proportional to the square of the distance between the two objects.
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a satellite at a particular point along an elliptical orbit has a gravitational potential energy of 5200 mj with respect to earth's surface and a kinetic energy of 4100 mj . later in its orbit the satellite's potential energy is 5600 mj . part a use conservation of energy to find its kinetic energy at that point. express your answer to two significant figures and include the appropriate units.
So the answer with two significant figures and appropriate units is Kinetic energy at second point is 3.7 x 10^6 J or 3.7 MJ.
What is kinetic energy?Kinetic energy is a form of energy that an object possesses by virtue of its motion. It is defined as the energy that an object has due to its mass and velocity. The formula shows that the kinetic energy of an object increases as its mass and velocity increase. For example, a heavy truck traveling at a high speed has a higher kinetic energy than a small car traveling at the same speed. The concept of kinetic energy is important in physics, as it is used to explain many phenomena, such as collisions, projectile motion, and the behavior of waves. It is also useful in engineering and other fields, as it helps to quantify the energy required for different types of motion, such as in machines or vehicles.
Here,
According to the law of conservation of energy, the total mechanical energy of a system remains constant if there are no external forces acting on the system. In the case of a satellite in an elliptical orbit around the Earth, the total mechanical energy is the sum of its kinetic energy and gravitational potential energy.
We can use this principle to solve for the kinetic energy of the satellite when its potential energy is 5600 MJ. We know that the total mechanical energy is conserved, so:
Total mechanical energy at first point = Total mechanical energy at second point
(KE + PE)1 = (KE + PE)2
Substituting the given values:
4100 MJ + 5200 MJ = KE2 + 5600 MJ
Simplifying:
KE2 = (4100 MJ + 5200 MJ - 5600 MJ)
KE2 = 3700 MJ
Therefore, the kinetic energy of the satellite at the second point is 3700 MJ. It's important to note that the units for energy are Joules (J), and mega-Joules (MJ) are equal to 1,000,000 Joules.
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in the hydraulic pistons shown in the sketch, the small piston has a diameter of 1.8 cm . the large piston has a diameter of 5.6 cm . (figure 1) figure1 of 1 the figure shows two hydraulic pistons: small one to the left and big one to the right. the vessels of the hydraulic system are connected. part a how much more force can the larger piston exert compared with the force applied to the smaller piston?
The larger piston can exert about 9.69 times more force than the force applied to the smaller piston.
What is the force exerted by piston?Force exerted by a piston is directly proportional to pressure applied and the surface area of piston. Since the hydraulic system is connected, pressure is same in both vessels.
Surface area of small piston is:
A_small = πr_small² = π(0.9 cm)² ≈ 2.54 cm²
Surface area of the large piston is:
A_large = πr_large² = π(2.8 cm)² ≈ 24.62 cm²
Force exerted by small piston is:
F_small = P × A_small
P is pressure and A_small is surface area of small piston.
Force exerted by large piston is:
F_large = P × A_large
P is pressure and A_large is the surface area of large piston.
F_large/F_small = (P × A_large)/(P × A_small) = A_large/A_small
F_large/F_small = 24.62 cm² / 2.54 cm² ≈ 9.69
This means that larger piston can exert about 9.69 times more force than the force applied to the smaller piston.
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What is the conversion of 99.3 f to c ?
99.3°F is equivalent to 37.4°C
A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).
Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.
To convert Fahrenheit (°F) to Celsius (°C) we have to first subtract 32 from Fahrenheit and then multiply it by .5556 or 5/9.
We have to convert 99.3 degrees Fahrenheit (°F) to Celsius (°C),
We can use the following formula:
°C = (°F - 32) x 5/9
As per the given information,
°F = 99.3
Substituting the value 99.3 for °F, we get:
°C = (99.3 - 32) x 5/9
= 67.3 x 5/9
= 37.4
Therefore, 99.3°F is equivalent to 37.4°C.
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10. What is the potential energy of a 3 kg ball that is up a hill of height 40 meters?
Answer:
1200J
Explanation:
m=3,h=40 while g= 10m/s^2
P.E=mgh
= 3 x 40 x10
=1200J
what is the density of water g/cm3
The density of water is 1 g per centimetre cube.
A measurement of density contrasts the mass of an object with its volume. High density refers to the amount of matter in a given volume of an object.
The density of a substance indicates how dense it is in a given area. Mass per unit volume is the definition of a material's density.
Density is calculated by comparing an object's mass to its volume. The amount of matter in a specific volume of an object is referred to as high density.
A substance's density describes how dense it is in a specific space. A material's density is defined as its mass per unit volume.
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How do you convert J to V?
J and V are different units of measurement and cannot be directly converted as they measure different quantities.
J is the unit of measurement for energy or work in the International System of Units (SI), while V is the unit of measurement for electrical potential difference or voltage.
To convert J (joules) to V (volts), you would need to know the amount of energy involved and the electrical charge involved in the process.
One formula that relates energy, charge, and voltage is:
V = E/Q
where V is voltage, E is energy, and Q is electric charge. If you know the values of E and Q, you can use this formula to calculate the voltage.
For example, if you have 1 joule of energy and 1 coulomb of electric charge, you can calculate the voltage using the formula:
V = 1 J / 1 C = 1 V
So, in this example, 1 joule of energy is equivalent to 1 volt of electrical potential difference when there is 1 coulomb of electric charge involved.
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is silicon a better conductor of electricity than sulfur
Yes, silicon a better conductor of electricity than sulfur. The reasons are explained below.
Due to the outer electrons of pure silicon and germanium being bound in the covalent bonds of the diamond-like framework, these materials are weak electrical conductors.
Through the movement of free electrons, silicon can transmit electricity. Since silicon is an n-type semiconductor, just a small amount of n-type contaminants will produce free electrons. The current that moves through silicon from one place to another is caused by these free electrons.
Pure sulphur is a tasteless, odourless, brittle solid with a pale golden colour that is insoluble in water and a weak conductor of electricity. Sulfur meets three of the basic criteria for non-metals, making it a non-metal. Due to the restriction on the unrestricted movement of electrons, it is a poor conductor of heat and electricity. To undergo ionisation, an element's electrons need space to travel around and generate an electric charge.
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name given to elements that are usually brittle and poor conductors of heat and electricity is
Non-metals are elements that often acquire electrons during chemical processes to generate anions. These substances are electronegative ones.
What are some poor conductors?As they are ineffective electrical conductors, glass and plastic are examples of insulators. They are used to stop electricity from entering parts of our body that are dangerous or useless. We can handle cables safely because of their plastic coating.
Does Copper make for a poor conductor?The fact that copper is widely used in all types of electrical wiring might indicate that metal is an excellent conductor of electricity. Copper contains a lot of free electrons that can conduct electricity, which is why metal is an excellent conductor of electricity.
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Raj drinks a glass of water in his kitchen. The water is at room temperature, and Raj decides to make it colder by adding ice. Which of the following describes why the ice cubes will melt?
Answer:
The tempature of the room.
Explanation:
Due to the temperature of the room being above the ice freezing point, the ice will melt.
Eve solves a linear equation. The final two steps of her work are shown.
7x+3.5 = 7x-3.5
3.5 = -3.5
Answer:
the 3rd option
Explanation:
3.5 = -3.5
is false in every case, for any value of x we can think of.
there is no value of x that makes this equation true.
so, there is no solution.
how to convert 25 c to k?
25 °C is equivalent to 298.15 K. The formula to convert Celsius (°C) to Kelvin (K) is 0°C + 273.15 = 273.15K.
To convert 25 degrees Celsius (°C) to Kelvin (K), you can use the following formula:
0°C + 273.15 = 273.15K
Plugging in the given value of 25 °C, we get:
K = 25 + 273.15 = 298.15 K
Therefore, 25 °C is equivalent to 298.15 K.
The Kelvin (K) scale is an absolute temperature scale where 0 K represents absolute zero, the theoretical temperature at which all matter would have zero thermal energy. On the Kelvin scale, the size of one degree is the same as that of one Celsius degree, but the Kelvin scale starts at absolute zero, while the Celsius scale starts at the freezing point of water.
To convert a temperature from Celsius to Kelvin, you simply need to add 273.15 to the Celsius temperature. This is because the size of one Kelvin degree is the same as one Celsius degree, but the Kelvin scale starts at absolute zero (which is -273.15 °C), so adding 273.15 to a temperature in Celsius converts it to Kelvin.
The Kelvin scale is used in many scientific fields, especially in physics and chemistry, where absolute zero is a critical reference point. It is also used in engineering and technology, particularly in the fields of thermal engineering and materials science
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What is the electric potential vtot at the center of the square? make the usual assumption that the potential tends to zero far away from a charge. express your answer in terms of q, d, and appropriate constants?
Vtot=(5kq√)/d
All of the PE on charges 2q will be changed into its KE. A electric potential vtot just at square's center is determined by the equation KE of a load 2q ≈ (12 - 3*sqrt(2))*kq2/d.
What does it mean to have an electric potential?The effort required to move a unit charge of one place to another within an electric field is referred to as electric potential. Although any site beyond the area of the given positive ions can be employed, Earth is usually used as the bench mark. potential power.
What is electric potential, and what is its SI equivalent?The effort required to convey a unit positive electrical charge from such an infinitely far away to a certain place is measured as the electromotive force at that location. Volt (V), which is also known as Joule per Coulomb, is the SI unit for electric potential.
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what is the combined mass in grams of objects that have masses of 0.2000 kg, 80.0g, 524mg
The combined masses 0.2000kg * 1 g/0.001kg = 200 g, 524 mg * 1g/ 1000 mg = 0.524 g, 200g + 80.0 g + 0.524 g=280.524 g.
Mass is commonly referred to as the quantity of matter contained within an object. It is most usually assessed as inertial mass, which refers to an object's tension to acceleration given a given net force.
Matter, on the other hand, is defined somewhat loosely in science and cannot be strategically placed. In physics, mass is a statistical expression of inertia, which is a fundamental precept of all matter.
It is, in influence, the highly resistant that a cell of matter provides to a modification in its speed or placement when a force is applied to it. The smaller the start changing created by an applied force, the greater the mass of the body.
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What is it called when information is detected by a sensory receptor?
Specialized neurons called sensory receptors react to particular kinds of inputs. Sensation occurs when sensed data is received by a sensory receptor.
What is sensory receptor function?The ability to learn about our surroundings or the condition of our organizational context is one of the main functions of sensory receptors. Receiving different kinds of inputs from various sources, the nervous system converts them into electrochemical signals. It is known as sensory transduction.
What are some examples of sensory receptors?All layers of skin have sensory receptors. Mechanoreceptors surrounding hair follicles, Pacinian corpuscles, Meissner carrier of genetic information, Merkel complexes, Subject to certain constraints corpuscles, and C-fiber LTM are among the six kinds that may detect harmless stimuli in the skin (low threshold mechanoreceptors).
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A +5.0 mC charge and a -6.0 mC charge experience an attractive force of -0.72 N ( “-“ means attractive). Determine their separation distance .
If q1=1.6*10^ -19 C and q2=3.2*10^ -19 C and the distance between the charges is 2cm. What is the force between the charges?
Show work please. Giving out brainliest.
Hey there!
Answer:
first question= approximately 6.8 cm
second question=approximately 2.88 x 10^-28 N
Explanation:
To determine the separation distance between the charges, we can use Coulomb's law, which states that the force between two point charges is given by:
F = k * q1 * q2 / r^2
where F is the force, k is Coulomb's constant (9 x 10^9 N m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the separation distance between the charges.
In this case, we have q1 = 5.0 x 10^-6 C, q2 = -6.0 x 10^-6 C, and F = -0.72 N. Plugging in these values and solving for r, we get:
-0.72 N = (9 x 10^9 N m^2/C^2) * (5.0 x 10^-6 C) * (-6.0 x 10^-6 C) / r^2
Solving for r, we get:
r = sqrt[(9 x 10^9 N m^2/C^2) * (5.0 x 10^-6 C) * (-6.0 x 10^-6 C) / (-0.72 N)]
r ≈ 0.068 m or 6.8 cm
Therefore, the separation distance between the charges is approximately 6.8 cm.
For the second question, we can use the same formula, Coulomb's law, to find the force between the charges:
F = k * q1 * q2 / r^2
Plugging in the values, we get:
F = (9 x 10^9 N m^2/C^2) * (1.6 x 10^-19 C) * (3.2 x 10^-19 C) / (0.02 m)^2
F ≈ 2.88 x 10^-28 N
Therefore, the force between the charges is approximately 2.88 x 10^-28 N.
Hope this helps!
suppose you are driving a 500-kg zamboni when it suddenly breaks down, forcing you to get out and push. you apply a force of 85 n on the machine, which experiences a constant frictional force of 5 n. how long (in seconds) will it take to push the zamboni the remaining 40 m?
The net force acting on the Zamboni is:
F_net = F_applied - F_friction
where F_applied is the force you apply, and F_friction is the frictional force. Substituting the given values, we get:
F_net = 85 N - 5 N = 80 N
The acceleration of the Zamboni is given by:
a = F_net / m
where m is the mass of the Zamboni. Substituting the given values, we get:
a = 80 N / 500 kg = 0.16 m/s^2
The distance the Zamboni moves is given by:
d = 40 m
The equation for motion with constant acceleration is:
d = 1/2 * a * t^2
where t is the time taken to move the distance d. Rearranging this equation, we get:
t = sqrt(2 * d / a)
Substituting the given values, we get:
t = sqrt(2 * 40 m / 0.16 m/s^2) = 10 s
Therefore, it will take 10 seconds to push the Zamboni the remaining 40 meters.
What is force?
Force is a physical quantity that describes the influence that can change the motion of an object.To know more about force, click the link given below:
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a thin rod with a uniform charge density of 3.90 uC/m. Evaluate the electric potential at point P if d = D = L/5.00.
The Electric Potential at a point P for a thin rod with uniform charge density is equal to 50230.4 V.
Electric Potential is referred to as the total amount of work that is done by any external element to bring a unit positive charge from infinity to a point where the influence of potential can be felt. The electric potential due to a point charge is represented by
[tex]V = k\frac{q}{r}[/tex]
where V is the electric potential, k is Coulomb's constant which is equal to 9×10⁹ N m²/C², q is the charge and r is the distance.
Now, the Electric potential due to a small element dx at a distance d is given by
[tex]dV = k\frac{\alpha dx}{r}\\dV = k\frac{\alpha dx}{\sqrt{d^2 + x^2}}} \\dV = k\frac{\alpha dx}{\sqrt{D^2 + x^2}}} \\[/tex]
where k is coulomb's constant, α is the charge density.
Now the total electric potential at point P is
[tex]V = \int\limits^L_D \, dV \\V = \int\limits^{5D}_D \, k\frac{\lambda dx}{\sqrt{D^2 + x^2}}} \\\\V = k \lambda \int\limits^{5D}_D \, \frac{\ dx}{\sqrt{D^2 + x^2}}} \\\\ \\V = k\lambda[ln(\sqrt{D^2 + x^2} + x)]\limits^{5D}_D\\[/tex]
V = (9×10⁹)(3.90×10⁻⁶) ln {(5 + √26)/(1 + √2)}
V = 50230.4 V which is the required potential.
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