It is observed that in water the meniscus in the capillary tube is higher than the meniscus in the beaker,while in mercury the meniscus is lower than the meniscus in the beaker.explain these observations
Answers
Meniscus formed by water and mercury (In capillary tube and beaker):
Because the water wets the glass and seeps up the tube's side when it is contained in a glass tube, the meniscus (surface) of the water has a concave form. And in mercury, the meniscus is lower than the meniscus in the beaker because the intermolecular force between the mercury atom is stronger than the force within a wall of a container which is why mercury forms a lower meniscus.
What are meniscus?:
The meniscus arises when the liquid and the container walls have different attractive forces acting on the molecules of the liquid.
A meniscus is created through adhesion, which is related to water's relatively high surface tension. The molecules in the glass beaker's wall are drawn to the water molecules. Whereas cohesion is the intermolecular attraction of similar molecules.
In water the meniscus in the capillary tube is higher than the meniscus in the beaker: Because the glass pulls on the water molecules with a slightly stronger force than that which exists between the water molecules, the water and glass meniscus has a downward curvature. The glass's side is being dragged up with water. While in mercury the meniscus is lower than the meniscus in the beaker: Because the mercury atoms are more strongly attracted to one another than the glass is to the mercury atoms, thus it results in an upwardly curved meniscus.
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Related Questions
Elmo finds himself at a Coke machine on a hot and dusty Sunday. The Coke machine requires exact change—two quarters and a dime. No other combination of coins will make anything come out of the machine. No stores are open; no one is in sight. Elmo is so thirsty that the only thing he cares about is how many soft drinks he will be able to buy with the change in his pocket; the more he can buy, the better. While Elmo searches his pockets, your task is to draw some indifference curves that describe Elmo’s preferences about what he finds.
(a) If Elmo has 2 quarters and a dime in his pockets, he can buy 1 soft drink. How many soft drinks can he buy if he has 4 quarters and 2 dimes? 1
(b) Does Elmo have convex preferences between dimes and quarters?
(c) Does Elmo always prefer more of both kinds of money to less?
(d) Does Elmo have a bliss point?
(e) If Elmo had arrived at the Coke machine on a Saturday, the drugstore across the street would have been open. This drugstore has a soda fountain that will sell you as much Coke as you want at a price of 4 cents an ounce. The salesperson will take any combination of dimes and quarters in payment. Suppose that Elmo plans to spend all of the money in his pocket on Coke at the drugstore on Saturday. Draw one or two of Elmo’s indifference curves between quarters and dimes in his pocket. Describe these new indifference curves in words.
Answers
The answers are- (a) 2 soft drinks. (b) Uncertain. (c) Not necessarily.
(d) No bliss point. and, (e) Steeper indifference curves.
(a) If Elmo has 4 quarters and 2 dimes in his pockets, he can buy 2 soft drinks. Since each soft drink requires two quarters and a dime, having double the amount of each coin allows him to make two purchases.
(b) Elmo's preferences between dimes and quarters may or may not be convex. Convex preferences imply that as Elmo increases the quantity of one type of money (quarters or dimes), the marginal utility he derives from each additional unit of that money diminishes. If Elmo's preference for soft drinks is based solely on the ability to purchase them and not on any diminishing marginal utility of the coins themselves, then his preferences may not exhibit convexity.
(c) Elmo does not necessarily always prefer more of both kinds of money to less. Given the specific context of the Coke machine, Elmo's only concern is to have the exact change required to obtain a soft drink. As long as he has the necessary combination of two quarters and a dime, having additional coins does not increase his utility further.
(d) Elmo does not have a bliss point in this scenario. A bliss point refers to the combination of goods or factors that maximizes an individual's utility or satisfaction. Since Elmo's sole objective is to purchase soft drinks from the Coke machine, his utility is maximized when he has the exact change required (two quarters and a dime). Having more coins does not enhance his utility beyond being able to buy a single soft drink.
(e) If Elmo had arrived at the Coke machine on a Saturday, with the drugstore across the street open, his preferences would change. Instead of being limited to the specific combination of two quarters and a dime, he could now use any combination of quarters and dimes to purchase as much Coke as he wants at a price of 4 cents per ounce.
In this case, Elmo's indifference curves between quarters and dimes would exhibit a downward slope, indicating that he is willing to trade off some quantity of one coin for a corresponding increase in the other, while still maintaining the same level of utility. The indifference curves would be steeper than the ones in the previous scenario, as Elmo can now acquire more soft drinks by having a larger combination of quarters and dimes.
These new indifference curves reflect Elmo's preference for more quarters and dimes, as they enable him to buy more Coke at the drugstore. The curves demonstrate that Elmo is willing to sacrifice some quantity of quarters to obtain additional dimes or vice versa, as long as the overall combination allows him to maximize the quantity of Coke he can purchase.
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Why does the periodic table work?
Answers
Answer:
The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element.
Explanation:
The periodic table is a graphical collection of element data. The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element. The rows (periods) and columns (groups) organize elements according to similar properties.
The atomic number, or the number of protons in an element's atom, is used in the table to organize the chemical elements.
How does the periodic table ?The Gaussian Model in subatomic particles, which allows the known elementary particles to be arranged according to their inherent properties, can be compared to the periodic table. The table is significant because it is set up to offer a wealth of knowledge on elements and their interactions in a single reference. Even elements that have yet to be found can have their properties predicted using the table.
What is periodic table and its importance?All known elements are grouped together in the periodic table of the elements into groupings with related properties. It becomes a crucial tool for chemists, nanotechnologists, as well as other scientists as a result. You can forecast how chemicals will react if we learn to use and comprehend the periodic table.
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Baker's weight and mass are measured on Earth and on the moon. Which measurement is the same in both places?
Answers
Answer: mass
The mass of a person is constant, weight is a force that is influenced by gravity.
Putting your thumb over the end of a hose causes the water to flow out more quickly what law is it
Answers
The figure shows three displacement vectors, which are labeled a, b, and c What is the magnitude and direction of the resultant vector found by adding a and b
Answers
Answer:
C. 13m west.
Explanation:
because a and b are going opposite directions, all we have to do is find the difference between those 2 values.
15-2 = 13
and it would be 13 west because A has the bigger arrow, so we just copy that direction.
A penny is placed a distance r from the center of a record spinning at ω = 90π rad/min. The coefficient of static friction between the penny and the record is μs = 0.19 on the horizontal plane. Randomized Variables μs = 0.19
what is the distance, r in meters?
Answers
The distance r of the penny that is placed from the center of a record spinning is approximately 1.19 mm.
To find the distance, r, we need to use the concept of centripetal force. The penny will experience a centripetal force as it spins around the center of the record. This force is given by F = mω²r, where m is the mass of the penny, ω is the angular velocity of the record, and r is the distance from the center.
The penny will remain in place if the force of static friction is equal to the centripetal force. Therefore, we can set μsmg = mω²r, where g is the acceleration due to gravity. Solving for r, we get r = μsg/ω².
Plugging in the given values, we get r = (0.19)(9.81 m/s²)/(90π rad/min)² ≈ 0.00119 m or 1.19 mm.
Therefore, the distance, r, is approximately 1.19 mm.
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Name some situation where charges occurs naturally
Answers
Some situations where charges occur naturally are lightning during thunderstorms.
What are the charges that exist in nature?There are two kinds of electric charge: positive and negative (commonly conveyed by protons and electrons individually). Examples of the types of charges are subatomic flecks or the particles of matter: Protons are positively charged. Electrons are negatively charged. Neutrons have naught charges.
Due to the apparent additional nature of the charge, the total electric charge of such a structure would be equal to the algebraic summation of the electric charges present all around the structure or system. The rule of superimposition of electric charge explains the compelling nature of the charge.
So we can conclude that Charging by Friction When two things are rubbed against each other
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Lightning, Friction,Electrostatic Induction, Piezoelectricity, Thermoelectricity, Photoelectric effect and Cosmic ray
What are several situations where charges can occur naturally?Lightning: During a thunderstorm, charges can build up in the atmosphere due to the movement of water droplets and ice particles. This can result in a lightning strike, which is a discharge of electricity through the atmosphere.
Friction: When two materials rub against each other, electrons can be transferred from one material to the other, resulting in a separation of charges. This is known as the triboelectric effect.
Electrostatic Induction: Electric charges can be induced on an object by bringing it near a charged object without making contact.
Piezoelectricity: Certain materials, such as quartz crystals, can generate a voltage when they are under mechanical stress, resulting in the separation of charges.
Thermoelectricity: A temperature difference between two materials can cause a flow of charge carriers, resulting in a voltage difference between the two materials.
Photoelectric effect: When light hit a metal surface , electrons are emitted from the surface and produces charge.
Cosmic ray: Cosmic rays are high-energy particles that come from outer space, which can ionize atoms and molecules in the atmosphere, resulting in the separation of charges.
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does a parallel circuit with 2 resistors have more resistance than a series circuit with 2 resistors
Answers
That depends on the values of the resistors.
If the same two resistors are used in both cases, then the total resistance is more in series and less in parallel.
Here's a catchy little factoid for ya:
-- In series, the total resistance is more than the biggest single one.
-- In parallel, the total resistance is less than the smallest single one.
what two things does the strength of gravity depend on?
Answers
Answer:
i found this i hope it helps
Explanation:
The magnitude of this force depends upon the mass of each object and the distance between the centers of the two objects. Mathematically, we say the force of gravity depends directly upon the masses of the objects and inversely upon the distance between the objects squared.
What two things related to sedimentary rocks do you see at the Grand Canyon ?
Answers
Answer:
sandstone and mudstone
Explanation:
How do I calculate the tension in the horizontal string?
Answers
ANSWER
T₂ = 10.19N
EXPLANATION
Given:
• The mass of the ball, m = 1.8kg
First, we draw the forces acting on the ball, adding the vertical and horizontal components of each one,
In this position, the ball is at rest, so, by Newton's second law of motion, for each direction we have,
\(\begin{gathered} T_{1y}-F_g=0_{}_{}_{} \\ T_2-T_{1x}=0 \end{gathered}\)The components of the tension of the first string can be found considering that they form a right triangle, where the vector of the tension is the hypotenuse,
\(\begin{gathered} T_{1y}=T_1\cdot\cos 30\degree \\ T_{1x}=T_1\cdot\sin 30\degree \end{gathered}\)We have to find the tension in the horizontal string, T₂, but first, we have to find the tension 1 using the first equation,
\(T_1\cos 30\degree-m\cdot g=0\)Solve for T₁,
\(T_1=\frac{m\cdot g}{\cos30\degree}=\frac{1.8kg\cdot9.8m/s^2}{\cos 30\degree}\approx20.37N\)Now, we use the second equation to find the tension in the horizontal string,
\(T_2-T_1\sin 30\degree=0\)Solve for T₂,
\(T_2=T_1\sin 30\degree=20.37N\cdot\sin 30\degree\approx10.19N\)Hence, the tension in the horizontal string is 10.19N, rounded to the nearest hundredth.
Answer: won’t let me not put something down
Explanation:
Supón que mañana por la mañana, cuando te despiertas y piensas en el día que tienes por delante, te preparas para ser tu mejor versión. ¿Qué harías o en qué pensarías a medida que te preparas para ese día?
Answers
Answer:
Si pienso en el día de mañana y cuando despierto pienso en el día que tengo por delante y preparo en mi mejor versión trataría de hacer las cosas que me gustan y dejar de lado las que me hacen mal y me estresan para poder disfrutar con total libertad.
Explanation:
Para poder ser la mejor versión de uno mismo una persona tiene que poder expresarse libremente, estar cómoda en el lugar que está para poder sentir y hacer lo que tiene ganas y lo que realmente le hace feliz.
Para algunos esa "mejor versión" puede tener que ver con exigencias físicas, como por ejemplo, entrenar para una carrera o prepararse para un evento deportivo. Para otras personas puede tener que ver con su potencial de estudio o académico por si tiene que rendir un examen, dar una exposición oral, una charla o una prueba laboral. Para otros puede tener que ver con perder miedos y soltar exigencias para poder ser libre de imposiciones externas.
Para que estas situaciones suceda la persona tiene que estar relajada, tranquila, en paz y pudiendo disfrutar en la mayor medida posible de todas sus cualidades y potencias.
A metal weighing 4. 82 g was heated to 115. 0 °C and put into 35 mL of water of temperature 28. 7 °C. The metal and water were allowed to come to an equilibrium temperature, determined to be 34. 5 °C. Assuming no heat was lost to the environment, calculate the specific heat of the metal. Consider the specific heat capacity of water as 4. 186 joule/gram °C.
The heat absorbed by the water is J (whole #)
What is the specific heat of the metal? J/gC (tenth)
Answers
The specific heat of the metal is approximately 0.221 J/g°C.
To calculate the specific heat of the metal, we can use the principle of heat transfer. The heat lost by the metal is equal to the heat gained by the water, assuming no heat is lost to the environment.
First, let's calculate the heat absorbed by the water using the formula:
Q_water = m_water * c_water * ΔT_water
where:
m_water is the mass of water in grams (since density = mass/volume, and density of water is approximately 1 g/mL, we have 35 g of water),
c_water is the specific heat capacity of water (4.186 J/g°C),
ΔT_water is the change in temperature of water (final temperature - initial temperature).
ΔT_water = 34.5°C - 28.7°C = 5.8°C
Q_water = 35 g * 4.186 J/g°C * 5.8°C = 851.013 J
Since the heat lost by the metal is equal to the heat gained by the water, the specific heat of the metal can be calculated using the formula:
Q_metal = m_metal * c_metal * ΔT_metal
where:
m_metal is the mass of the metal in grams (4.82 g),
c_metal is the specific heat capacity of the metal (unknown),
ΔT_metal is the change in temperature of the metal (final temperature - initial temperature).
ΔT_metal = 34.5°C - 115.0°C = -80.5°C
Q_metal = -851.013 J (since heat lost by the metal is equal in magnitude but opposite in sign to the heat gained by the water)
Solving for c_metal:
-851.013 J = 4.82 g * c_metal * -80.5°C
c_metal = -851.013 J / (4.82 g * -80.5°C) ≈ 0.221 J/g°C
Therefore, the specific heat of the metal is approximately 0.221 J/g°C.
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Why wouldn’t you hear me screaming if I were stuck in space, but you would see my flashlight blinking an SOS signal for help?
Answers
Answer: light waves travel further than sound waves
Explanation:
Answer:
because sound travel in air theirs no air in space
light travel in waves it does not need any matter or material to carry its energy along so this means it can travel through airless space
Explanation:
In empty space, the wave does not dissipate (grow smaller) no matter how far it travels, because the wave is not interacting with anything else. This is why light from distant stars can travel through space for billions of light-years and still reach us on earth.
hope this helps lovee :)
If in free fall, how long did an object take to reach an impact velocity of 116.34 m/s?
Answers
The time taken for the object to reach the impact velocity is 11.87 seconds.
Time of motion of the objectThe time taken for the object to reach the impact velocity is calculated as follows;
v = u + gt
where;
v is the impact velocityu is the initial velocity of the objectt is the time of motiong is acceleration due to gravity116.34 = 0 + 9.8t
t = 116.34/9.8
t = 11.87 seconds
Thus, the time taken for the object to reach the impact velocity is 11.87 seconds.
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Which of the following statements about spectral types of stars is true?
All of the above are true.
Answers
The spectral type of a star can be used to determine its color and A star with spectral type A is cooler than a star with spectral type B.
What is an example of a spectrum?A spectrum can be naturally represented by a rainbow. Optical researchers were the first to adopt the term spectrum. They understood by the word the spectrum of colors visible light displays when split by a prism. The spectrum that is created when light passes through a prism serves as an example of how light disperses.
What is a spectrum's quantum?A photon of luminous energy is released when an electron switches from a better energy (higher angular momentum) orbit to a reduced energy orbit. The frequency of the photon, v, is associated with energy difference, E, by the formula v=E/h.
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The complete question is -
Which of the following statements about spectral types of stars is true?
A) The spectral type of a star can be used to determine its surface temperature.
B) The spectral type of a star can be used to determine its color.
C) A star with spectral type F2 is hotter than a star with spectral type F3.
D) A star with spectral type A is cooler than a star with spectral type B.
E) All of the above are true.
two 90-kg men are seated in the 400-kg boat a. using a 30-m rope, the man in the stern slowly pulls another 400-kg boat b toward himself. find the distance moved by boat a when the two boats are about to touch. neglect water resistance.
Answers
The distance moved by boat A when the two boats are about to touch is 10 meters.
To solve this problem, we can use the principle of conservation of momentum. Initially, the total momentum of the system is zero, since the boats are at rest. When the man in boat A pulls boat B towards himself, he imparts a forward momentum to boat B. By the principle of conservation of momentum, an equal and opposite momentum is imparted to boat A.
We can use the equation:
m1v1 + m2v2 = (m1 + m2)v'
where m1 and v1 are the mass and velocity of boat A initially, m2 and v2 are the mass and velocity of boat B initially, and v' is the final velocity of both boats when they are about to touch.
Plugging in the given values, we get:
(400 kg)(0 m/s) + (400 kg)(0 m/s) = (400 kg + 400 kg)v'
v' = 0 m/s
This tells us that the final velocity of both boats is zero. We also know that the man in boat A pulls boat B a distance of 30 meters. Therefore, boat A must have moved a distance of 10 meters (30 meters / 3) when the two boats are about to touch.
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Details The force on a particle is described by 10x³ - 5 at a point x along the x-axis. Find the work done in moving the particle from the origin to x = 2.
Answers
Answer:
To find the work done in moving the particle from the origin to x = 2, we need to integrate the force over the given interval.
The work done (W) is calculated by integrating the force function with respect to displacement (dx) from the initial position (0) to the final position (2):
W = ∫(0 to 2) (10x³ - 5) dx
Integrating the force function, we get:
W = ∫(0 to 2) (10x³ - 5) dx = [2.5x⁴ - 5x] evaluated from 0 to 2
Now, substituting the upper limit (2) and lower limit (0) into the equation:
W = [2.5(2)⁴ - 5(2)] - [2.5(0)⁴ - 5(0)]
= [2.5(16) - 10] - [0 - 0]
= 40 - 10
= 30
Therefore, the work done in moving the particle from the origin to x = 2 is 30 units of work.
Explanation:
A gymnast of mass 53.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81m/s2 for the acceleration of gravity. a)Calculate the tension T in the rope if the gymnast hangs motionless on the rope. b)Calculate the tension T in the rope if the gymnast climbs the rope at a constant rate. c)Calculate the tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 1.40 m/s2 . d)Calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 1.40 m/s2 .
Answers
You can disregard the weight of the rope and assume that the rope does not stretch. Use 9.81m/s2 as the gravitational acceleration value.
What is Acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law, an object's acceleration is the result of two factors working together: the object's mass, which varies depending on the materials it is made of, and the net balance of all external forces acting on it. The magnitude of an object's acceleration is inversely proportional to the object's mass.
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Optimization With Calculus: Exercise >If TC = 36,000 + 200Q + 0.4Q², find ➤ (1) Q at which AC is optimized! > (2) Determine whether this is achieved at a minimum or a maximum AC!
Answers
AC is at a minimum at Q = 300.
To find the optimized value of Q, we have to find the derivative of AC with respect to Q and equate it to zero.So, differentiate the AC equation with respect to
Q.d(AC)/d(Q) = -36000/Q² + 0.4= 0
Thus, -36000/Q² + 0.4 = 0
Solving the above equation for Q, we get
Q² = 36000/0.4Q² = 90000Q = 300 (∵ Q must be positive)
Therefore, the value of Q at which AC is optimized is Q = 300.
Now, we need to check whether it is a minimum or a maximum.
To do that, we need to find the second derivative of AC with respect to
Q.d²(AC)/d(Q²) = 72000/Q³
Thus, d²(AC)/d(Q²) > 0 (∵ Q is positive)
Therefore, AC is at a minimum at Q = 300.
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If Cl− is the only anion in the solution, what is the Cl− concentration in milliequivalents per liter?
Answers
Answer:
155mEq/L Cl-
Explanation:
A Ringer’s solution contains the following concentrations of cations: 146 mEq/L of Na+, 5 mEq/L of K+, and 4 mEq/L of Ca2+.
As Cl- is the only counterion of those cations:
For Na, the molecule is NaCl and the mEq/L of Cl- = mEq of Na+. The Cl- of the first ion is 146mEq/L Cl-
For K+, The molecule is KCl, mEq Cl- = 5mEq/L Cl-
And, for Ca2+, The molecule is CaCl2 but the equivalents of Ca2+ = Equivalents of Cl- = 4mEq/L Cl-
The total concentration of Cl- are:
146 + 5 + 4 =
155mEq/L Cl-the planet Mars may be considered to be an isolated sphere of diameter of 6.79×10^6m with it's mass of 6.42×10^23 kg concentrated at its center. A rock of mass 1.40kg rests on the surface of Mars.
(assume that the dimensions of the rock are negligible compared to the radius of Mars)
(I) determine the weight of the rock on Mars
(ii) show that the gravitational potential energy of the rock is -1.77×10^7J
Answers
The weight of the rock on Mars is 5.18 N.
The gravitational potential energy of the rock is indeed -1.77×10⁷J
How to find weight and potential energy?(I) To determine the weight of the rock on Mars, use the formula for weight, which is given by:
Weight = Mass x Acceleration due to gravity
The acceleration due to gravity on Mars can be calculated using the formula:
Acceleration due to gravity = (Gravitational constant x Mass of Mars) / (Radius of Mars)²
Plugging in the given values:
Acceleration due to gravity = (6.67 x 10⁻¹¹ Nm²/kg²) x (6.42 x 10²³ kg) / (3.395 x 10⁶ m)²
= 3.71 m/s²
The weight of the rock can now be calculated as:
Weight = 1.40 kg x 3.71 m/s²
= 5.18 N
(ii) To find the gravitational potential energy of the rock, use the formula:
Gravitational potential energy = -(Gravitational constant x Mass of Mars x Mass of rock) / Distance between the center of Mars and the rock
The distance between the center of Mars and the rock is equal to the radius of Mars, which is given as:
Radius of Mars = 3.395 x 10⁶ m
Plugging in the values:
Gravitational potential energy = -(6.67 x 10⁻¹¹ Nm²/kg²) x (6.42 x 10²³ kg) x (1.40 kg) / (3.395 x 10⁶ m)
= -1.77 x 10⁷ J
Thus, the gravitational potential energy of the rock on Mars is -1.77 x 10⁷J.
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20 POINTS
PLEASE HELP THIS IS DUE IN 5 MINUTES
please do not troll or put the wrong answer
Answers
Answer:
I believe the answer is B.
Explanation:
Newton's First Law of Gravity states, "The greater the weight (or mass) of an object, the more inertia it has. Heavy objects are harder to move than light ones because they have more inertia. "
The answer is D.
All objects travel at the same speed due to gravity.
I hope I helped! Sorry if my inference was incorrect.
In water quality, the symbol "mg/L" is equivalent to:
a. Micrograms per liter
b. Parts per million
c. Parts per billion
d. Mostly good levels
Answers
The symbol "mg/L" in water quality represents milligrams per liter, which is a unit of measurement commonly used to express the concentration of substances in water. Option a is right choice.
The symbol "mg/L" in water quality refers to milligrams per liter, which is a unit of measurement commonly used to express the concentration of substances in water.
This unit represents the number of milligrams of a particular substance that are present in one liter of water.
In the context of water quality, the concentration of various substances is typically measured in parts per million (ppm) or parts per billion (ppb). For example, the concentration of dissolved oxygen in water is typically expressed in milligrams per liter (mg/L), which is equivalent to ppm.
Micrograms per liter (µg/L) is another unit of measurement that is commonly used to express the concentration of substances in water.
However, this unit is typically used for substances that are present in very low concentrations, such as certain pollutants or toxins. In some cases, concentrations may be expressed in parts per trillion (ppt), which is equivalent to µg/L.
Option a is right choice.
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A system consists of multiple objects connected by ropes. How many equations need to be written to solve this problem?
A) two for each object
B) one or two for each object
C) one for each object
D) two for the system
Answers
Answer:
the correct answer is B
Explanation:
To solve the system they must have the same amount of unknowns as equations,
a) If the system does not have friction, we must write the x-axis equation for each body, therefore we need to write N equations
b) if the system has friction, two equations are needed for each particle
therefore the correct answer is B
How much force is necessary to stretch a spring 0. 5 m when the spring constant is 190 N/m? N.
Answers
Statement:
A force is necessary to stretch a spring 0.5 m when the spring constant is 190 N/m.
To find out:
The force required to stretch the spring.
Solution:
Spring constant (k) = 190 N/m.Displacement (x) = 0.5 mLet the force necessary to stretch the spring be F.We know the formula of spring force, i.e., F = kx.Putting the values in the above formula, we getF = 190 N/m × 0.5 mor, F = 95 NSo, the force required to stretch the spring is 95 N.Answer:
95 N
Hope you could understand.
If you have any query, feel free to ask.
A ball is dropped from a height of 50 meters above the ground. What is its velocity the moment it hits the ground?
Answers
Answer:
The distance is 45m. (s)
Acceleration is 9.8 m/s^2 (acceleration due to gravity). (a)
We have to find the time (t)
By the 3rd equation of motion,
s = ut + 1/2 at^2 (here u is the initial velocity of the ball)
Since the initial velocity was 0 m/s, the formula becomes s = 1/2 at^2.
(substituting the values in the formula)
45 = 1/2 x 9.8 x t^2
45 = 9.8/2 x t^2
45 = 4.9 x t^2 (9.8/2 = 4.9)
(divide 4.9 on both sides)
45/4.9 = 4.9 x t^2 / 4.9
9.1836 = t^2
3.030 = t
So it takes approximately 3 seconds for the ball to reach the surface of the earth (neglecting air resistance). You can try the same with 50 m .
The velocity of the ball the moment it hits the ground is equal to 31.3 m/s.
What is the equation of motion?Equation of motion has established a relation between the velocity of the body and acceleration of the body when the body is moving with uniform acceleration along a straight line. The distance traveled in a specific time has expressed a set of equations termed equations of motion.
The first equation of motion can be expressed as follows:
v = u + at
The second equation of motion can be expressed as follows:
S= ut + (1/2)at²
Where u is the initial velocity of a body, v is the final velocity, S is the distance, a is the acceleration and t is the time.
Given, the distance traveled by the ball, S = 50 m
and, the initial velocity of the ball, u = 0 as ball is at rest initially.
From the second equation of motion, find the value of 't':
50 = (0) t + (1/2)× (9.8) ×(t²)
t = 3.19 sec
Now from the first equation of motion, find the value of the final velocity of the ball:
v = (0) + (9.8) (3.19)
v = 31.3 m/s
Therefore, the ball hits the ground with a velocity of 31/3 m/s.
Learn more about the equation of motion, here:
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A 0. 45 kg soccer ball changes its velocity by 20. 0 m/s due to a force applied to it in 0. 10 seconds. What force was necessary for this change in velocity? N.
Answers
Hi there!
We can begin by calculating the impulse exerted on the soccer ball:
I = Δp = mΔv
Plug in the given values:
I = 0.45 × 20 = 9 Ns
I = Ft, so:
I/t = F
9/0.1 = 90 N
A results force of 25newtons acts on a mass of 0.50kilogram starting from rest .find acceleretion in m/s2 , the final velocity after 20seconds, the distance moved in m
Answers
Answer: See below
Explanation:
a) Using Newton's 2nd Law, rearranging and solving for acceleration
\(a &= \frac{F}{m}\\ &= \frac{25\ \text{N}}{0.5\ \text{kg}}\\ &= \boxed{50\ \text{m/s}^2}\)
b) Using the acceleration 50 m/s^2 and the initial velocity v = 0 (since the object starts from rest), the final velocity at t = 20, v can be determined using a suitable equation as follows:
\(v &= u+ at\\ &= 0+ 50\ \text{m/s}^2(20\ \text{s})\\ &= \boxed{100\ \text{m/s}}\)
c) To determine the distance s traveled in the 20 seconds, we'll use a suitable equation:
\(s &= ut+\frac{1}{2}at^2\\ &= 0+\frac{1}{2}(50 \text{m/s}^2)(20\ \text{s})^2\\ &= \boxed{10\ 000\ \text{m}}\)
Based on Newton's law of action-reaction, which arrow represents the force that the seat belt would exert on the man's body if he had to slam on the brakes?
Answers
Answer:
c. Y
Explanation:
Newton's third law of motion states that action and reaction are equal and opposite. Hence for every action, there is an equal and opposite reaction.
Considering the system of forces shown in the image, W and Y are opposite forces. When the driver slams on the brakes, he will be pushed forward towards the windscreen. The force Y exerted by the seat belt keeps him on the drivers seat by moving him backwards towards the seat.