The statement that ocean tides are caused primarily by the gravitational attraction between the earth, moon, and sun is a true statement.
Tides can be defined as the rise and fall of water level in water bodies such as lakes and oceans due to the gravitational force of attraction exerted by the moon on earth. The side closest to the moon creates a bulge of water known as high tide. Low tides are generally experienced when a sea level is not within the bulge.
Generally, the gravitational pull of the Moon cause visible changes on planet Earth's surface.
This ultimately implies that, the pull of the Moon's gravity causes high and low tides on planet Earth's surface.
Therefore, The statement that ocean tides are caused primarily by the gravitational attraction between the earth, moon, and sun is a true statement.
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starting from rest, a 94-kg firefighter slides down a fire pole. the average frictional force exerted on him by the pole has a magnitude of 800 n, and his speed at the bottom of the pole is 3.9 m/s. how far did he slide down the pole?
The firefighter will slide down upto a distance of 11.68 m.
A firefighter is a first responder with extensive training in firefighting, primarily to extinguish dangerous fires that threaten life, property and the environment, as well as to rescue people and, in some cases or jurisdictions, animals from dangerous situations.
Mass of the firefighter = m = 94kg
Frictional force = F = 800N
Speed at the bottom of the pole = 3.9m/s
Using the work energy theorem which says that initial potential energy is equal to the sum of final kinetic energy and work done.
mgh = (1/2)mv² + W
mgh = (1/2)mv² + Fh
h = height at which firefighter will slide down
h (mg - F) = (1/2)mv²
h = (1/2)mv² / (mg - F)
h = mv² / 2 (mg-F)
h = 94* (3.9)² / 2 (922.14 - 800)
h = 1429.74/122.14
h = 11.68 m
He will slide 11.68 m down the pole.
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the direction of the force of sliding friction is always select one to that of velocity of the object and is select one static friction. State True or False your answer:
a. True
b. False
The given statement was false as sliding friction is lower than static friction.
what is Sliding friction ?
The friction experienced by two bodies in a comparable sliding motion is referred to as sliding friction. Sliding friction, like any other form of friction, may produce wear and tear on moving bodies.
Kinetic friction is a notion that defines the friction that happens as something slides. Because sliding friction is lower than static friction, moving a moving body is much easier than moving a stationary body (rest).
In contrast, the frictional force associated with a sliding motion is typically substantially larger. Although sliding friction is unaffected by surface area or total area of contact, it is greatly impacted by two factors: the kind of moving objects and their mass.
The given statement was false as sliding friction is lower than static friction.
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Hello! I need a fast response
does the result of the forces, according to Newton's second law, include the force of weight?
Tnx in advance
Answer:
Yeah exactly.
Explanation:
Look here down.
From Newtond second law of motion.
F= △P/tF= P2 -P1 ,Since Pmomentum = Mv tF= Mv2 - Mv1 tF= M(V2-V1) Since v2 -v1 = a t t※F=MaAnd this force is included the force of weight which changes from ma to mg
a 3030 cm wrench is used to loosen a bolt with a force applied 0.30.3 m from the bolt. it takes 6060 nn to loosen the bolt when the force is applied perpendicular to the wrench. how much force would it take if the force was applied at a 3030 degree angle from perpendicular?
The force required is 69 N at the given angle, perpendicularly, by using the formula of Torque, to loosen the bolt.
What is Torque?
The rotational counterpart of linear force is torque. Depending on the subject of study, it is also known as the moment, moment of force, rotating force, or turning effect. It depicts how a force can cause a change in the body's rotational motion.
What is Force?An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Calculations:
Given,
Force = 60N
Angle = 30°
Radius = 0.3m
The torque required to loosen the bolt = Torque = r * F
= 0.3 * 60
= 1.8Nm
To obtain the same torque but with a 30° angle
Torque = F ( 0.3 * cos 30)
1.8Nm = F ( 0.3 * cos 30)
F = 1.8Nm/ F ( 0.3 * cos 30)
F= 69N.
Hence, the force required is 69 N at the given angle, perpendicularly.
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a 240 g bird flying along at 6.0 m/s sees a 12 g insect heading straight toward it with a speed of 30 m/s. the bird opens its mouth wide and enjoys a nice lunch. what is the bird's speed immediately after swallowing the insect?
4.28 m/s is the bird's speed immediately after swallowing the insect.
A) The birds speed after swallowing the insect is = 4.84 m/s
Given data :
mass of bird ( M₁ ) = 240 g
speed of bird ( U₁ ) = 6 m/s
mass of insect ( M₂ ) = 12 g
speed of insect ( U₂ ) = 30 m/s
Determine the birds speed of the bird
A) Birds speed after swallowing the insect
we will apply the principle of momentum conservation
M₁U₁ + M₂U₂ = ( M₁ +M₂ )V
= 240*6 - 12*30 = ( 240 + 12 ) V
= 1440 - 360 = 252 V
therefore ; V = 1080 / 252 = 4.28 m/s is the bird's speed.
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a spider can tell when its web has captured, say, a fly because the fly's thrashing causes the web threads to oscillate. a spider can even determine the size of the fly by the frequency of the oscillations. assume that a fly oscillates on the capture thread on which it is caught like a block on a spring. what is the ratio of oscillation frequency for a fly with mass m to a fly with mass 4.6m?
The ratio of oscillation frequency for a fly with mass m to a fly with mass 4.6m is 2.14 : 1.
The formula to calculate the frequency of oscillation for a block on a spring
[tex]\omega = \sqrt{\frac{k}{m}}[/tex]
ω²m = k
If two flies are caught in similar threads, then the magnitude of k or the constant from the threads is the same. The oscillation frequency ratio is the ratio of the inverse of the root mass.
m₁ = mm₂ = 4.6m[tex]\frac{\omega_1}{\omega_2} = \frac{\sqrt{m_2}}{\sqrt{m_1}}[/tex]
ω₁² : ω₂² = m₂ : m₁
ω₁² : ω₂² = 4.6m : m
ω₁² : ω₂² = 4.6 : 1
[tex]\omega_1 \::\: \omega_2 = \sqrt{4.6} \::\: \sqrt{1}[/tex]
ω₁ : ω₂ = 2.14 : 1
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what was the hiker's average velocity during part b of the hike? responses 0.6 km/h north 0.6 km/h north 0.17 km/h south 0.17 km/h south 6 km/h south 6 km/h south 10 km/h southeast
The hiker's average velocity during part B of the hike is 6 km/h South.
Given the following data:
Total distance = 6 km, South.
Start time = 9:45 am
Ending time = 10:45 am
To determine hiker's average velocity during part B of the hike:
First of all, we would determine the total time.
Total time = Ending time - starting time
Total time = 10:45 - 9:45
Total time = 1 hour.
Mathematically, the average velocity is given by the formula:
Average velocity = total distance / total time
Substituting the parameters into the formula, we have;
Average velocity = 6/1
Average velocity = 6 km/h South.
Therefore, the average velocity of the biker is 6 km/h South
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i. neutrinos are very abundant in the universe (our sun for example produces them in huge amounts as as by-product of nuclear fusion). a recent discovery has given them a (tiny) amount of mass. discuss how this would/could change our view of whether the expansion of the universe is slowing or not. (hint: think about gravity and potential energy due to gravity) ii. disuss why our sun has a stable (constant) radius. what supports it against gravitational collapse? iii. disuss why a neutron star has a stable (constant) radius. what supports it against gravitational collapse?
Gravitational collapse is the contraction of an astronomical object because of the impact of its personal gravity, which tends to draw count inward in the direction of the middle of gravity.
Gravitational collapse apart is a fundamental mechanism for structure formation within the universe.
At a low mass, gravity may be counteracted by way of a low pressure, which means that low pressure and density. as the mass will increase, the pressure increases, and eventually either the temperature or the density is adequately high to motive gravitational collapse.
The universe is everything. It consists of all of space, and all of the be counted and power that area includes. It even consists of time itself and, of route, it consists of you. Earth and the Moon are part of the universe, as are the alternative planets and their many dozens of moons.
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An object is shot upwards, from the ground, with an initial velocity of
120 m/s. How high will it be after 4.0s?
Answer:
Below
Explanation:
Distance will be given by the equation:
df = do + vo t + 1/2 a t^2 do = 0 a = -9.81 m/s^2
df = 0 + 120 (4) + 1/2(-9.81)4^2 = 401.5 m
the greatest hurdle that must be overcome to fully embrace nuclear power to generate electricity is
The biggest challenge to fully embracing nuclear power for the production of electricity is the safe storage of radioactive waste.
Uranium that is of excellent purity is in short supply. A nonrenewable energy source is nuclear power. It is challenging to properly dispose of nuclear waste. It is challenging to properly dispose of nuclear waste. In order to save the climate, we must reduce carbon emissions as much as possible quickly and cheaply. The operational risks and safety concerns that go along with them, risks associated with uranium mining, financial and regulatory risks, unresolved waste management issues, concerns about nuclear weapons proliferation, and unfavourable public perception are all obstacles to and risks associated with an increase in the use of nuclear energy. Ionizing radiation is toxic at high doses.
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a screen is placed 40.0 cm from a single slit, which is illuminated with light of wavelength 690 nm. if the distance between the first and third minima in the diffraction pattern is 2.60 mm, what is the width of the slit?
The width of the slit is 0.212 mm.
The wavelength of light is defined as “The distance between the two successive crests or troughs of the light wave”.
We know that the distance between minima is given by :
[tex]t = (m_{f} - m_{i} ) \alpha x/d[/tex]
where, t = distance between minima
[tex]\alpha =[/tex] wavelength
x = distance of screen
d = width of slit
[tex](m_{f} - m_{i} ) =[/tex] difference between minima
Given, x = 40 cm = 0.4 m
[tex]\alpha = 690 nm = 690 * 10^{-9} m[/tex]
t = 2.60 mm = [tex]2.60 * 10^{-3} m[/tex]
[tex](m_{f} - m_{i} ) =[/tex] 3 -1 = 2
Putting these values in above equation we get d = 0.212 mm
So the width of the slit is 0.212 mm.
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what frequency is received by a person watching an oncoming ambulance moving at 130 km/h and emitting a steady 800-hz sound from its siren? the speed of sound on this day is 341 m/s.
The frequency received by the person is 643 Hz.
The Doppler effect states that the frequency of a sound wave is changed due to the motion of the source and the observer. The frequency of the sound wave will decrease as the source moves away from the observer and increase as it approaches.
The frequency received by the person can be calculated using the following formula:
F = (V + v) / (V - v) * F0
Where F is the frequency received by the observer, V is the speed of sound, v is the speed of the source and F0 is the frequency of the sound emitted by the source.
In this case, V = 341 m/s, v = 130 km/h = 36.1 m/s, F0 = 800 Hz.
Substituting these values into the formula, we get:
F = (341 + 36.1) / (341 - 36.1) * 800 = 643 Hz.
Therefore, the frequency received by the person is 643 Hz.
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now barry imagines he is on a boat and he decides to go for a swim, and that the captain gives barry a choice of two life preservers, one filled with styrofoam and an identically sized one filled with lead. which life preserver, when placed in the water, will kachina say has the greater buoyant force?
As long as their contents are the same, the buoyant force is stronger on the life jacket that is filled to the same level when both are totally immersed.
What does science mean by "force"?In science, "force" refers to a certain concept. An object cannot hold a force; it is impossible. A force is experienced by one item from another. In the notion of a strength, both of these would be intriguing inanimate objects.
What are force and example?The word "energy" refers to a body's innate propensity to alter or adapt its structure in response to an outside force. each time a force is used.
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a solenoid having an inductance of 6.30 ph is connected in series with a 1.20 k() resistor. (a) if a 14.0 v battery is connected across the pair, how long will it take for the cnrrent through the resistor to reach 80.0% of its final value? (b) what is the current through the resistor at time / - 1.0ry
(a)If the battery is inserted into the circuit at time t=0, then at time t, the current is provided by i=/R(1et/L), where L=L/R. The moment that i=0.800dR must be found is our objective. This suggests that 0.800=1 et/L and 0.200 et/L.
We get (t/L)=ln(0.200)=1.609 by taking the natural logarithm of both sides. Thus,[tex]t=1.609τ L = R1.609L = 1.20×10 3 Ω1.609(6.30×10 −6 H) =8.45×10 −9 s[/tex].
What three purposes does a resistor serve?There are various uses for resistors. A few examples include restricting the flow of electricity, dividing the voltage, producing heat, matching and loading circuits, controlling gain, and establishing time constants.
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helicopter blades withstand tremendous stresses. in addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. calculate the centripetal acceleration at the tip of a 4.00 m long helicopter blade that rotates at 270 rev/min.
4,860m/s² centripetal acceleration at the tip of a 4.00 m long helicopter blade that rotates at 270 rev/min.
What is Centripetal acceleration?The rate at which tangential velocity changes is known as centripetal acceleration. Centripetal force is defined as the total force that accelerates an item in a circular motion. The centripetal force points in the direction of the centre, perpendicular to the body's motion.
What is rotation?An object moves in a circular motion around a central axis when it is rotating or spinning. A two-dimensional spinning object can rotate in either a clockwise or counterclockwise direction and has a single potential central axis. There are countless central axis and rotational directions that can be used to describe a three-dimensional object.
Calculation:
Centripetal acceleration = ac = w². r
= (270)² × 4 = 4,860m/s²
Hence, 4,860m/s² centripetal acceleration.
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A vacuum-insulated parallel-plate capacitor with plate separation d has capacitance C0.
What is the capacitance if an insulator with dielectric constant κ and thickness d/2 is slipped between the electrodes? Assume plate separation is unchanged.
Express your answer in terms of the variables d, C0, and κ.
C=?
The capacitance if an insulator with dielectric constant κ and thickness d/2 is slipped between the electrodes C = 2K∉A/d
Let A represent the cross-sectional area of the electrodes.
Let C stand for capacitance.
The electric field between the electrodes is denoted by E.
Be the charge per unit area, sigma.
be the permittivity of empty space, and K is assumed to be an insulator's dielectric constant in the question.
It is inserted between the electrodes as d/2.
the current electric field between electrodes.
E equals sigma /2 plus sigma /2.
E = sigma/ ——— As we are aware, E = V /(d/2)
V=E d/2 V=sigma /*d/2
V = dsigma/2 ——— Once more, we are aware of 2.
C = Q/V
C is equal to sigma A/(sigma d/2) Q = sigma A (from equation 2
For an insulator with a dielectric constant of K, C = 2A/d.
C = 2K∉A/d
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A space probe is traveling in outer space with a momentum that has a magnitude of 7.5*10^7kgm/s. A retrorocket is fired to slow down the probe .it applies a force to the probe that has a magnitude of 2.0*10^6N and a direction opposite to the probes motion .. it fires for a period of 12s. Determine the momentum of the probe after the retrorocket ceases to fire
The momentum of the probe Pf = + 5.1 x [tex]10^{7 }[/tex] kg m/s.
What is the impulse momentum theorem formula?Δ p = F net Δ t . The equation is known as the impulse-momentum theorem. F net t F net t is referred to as the impulse. According to the equation, the impulse is equal to the average net external force times how long it takes for that force to act. It is equivalent to the momentum shift.According to the impulse-momentum theorem, an item will experience an impulse that is equal to the change in its momentum. We can now see how the impulse-momentum theorem demonstrates how a modest net force applied over a prolonged period of time can result in the same velocity change as a big net force delivered over a brief period of time.Find the attachment answer
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using your multimeter, measure the dc resistance of the 100 mh inductor supplied in the parts kit. draw a model for the real inductor that includes this resistance. compute the maximum time constant for this component. do you think you could see the change of current with time with your multimeter?
The time constant is 0.974 sec when measured with the multimeter for the resistance of the 100 mh inductors.
What is Time constant?
The product of the circuit resistance and the circuit capacitance determines the RC time constant, often known as tau, the time constant (in seconds) of an RC circuit. It is the amount of time needed to charge a capacitor through a resistor from zero starting charge voltage to roughly 63.2% of the applied DC voltage or to discharge a capacitor to roughly 36.8% of its initial charge voltage through the same resistor.
What is an inductor?An inductor is a passive electronic component that, when an electric current passes through its coil, momentarily stores energy in a magnetic field.
calculations:
Observed resistance = 102.6Ω
DC resistance R = 102.6Ω
L = 100mH
Time constant ρ = L/R
= 100/102.6
=0.974 sec.
Hence, the time constant is 0.974 sec when measured with the multimeter for the resistance of the 100 mh inductors.
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the mass of a proton is 1.00728 amu and that of a neutron is 1.00867 amu. what is the approximate binding energy (in j) of a 29co nucleus?
The binding energy per nucleon = 1.368*10^-12
What is energy?
Energy, which is observable in the performance of work as well as in the form of heat and light, is the quantitative property that is transferred to a body or to a physical system in physics. It is a mechanically accepted quantity.
The mass of a proton is 1.00728 amu
The mass of a neutron is 1.00867 amu
The mass of a cobalt-60 nucleus is59.9338 amu
Step 2: Calculate binding energy
The mass defect = the difference between the mass of a nucleus and the total mass of its constituent particles.
Cobalt60 has 27 protons and 33 neutrons.
The mass of 27 protons = 27*1.00728 u = 27.19656 u
The mass of 33 neutrons = 33*1.00867 u = 33.28611 u
Total mass of protons + neutrons = 27.19656 u + 33.28611 u = 60.48267 u
Mass of a cobalt60 nucleus = 59.9338 amu
Mass defect = Δm = 0.54887 u
ΔE =c²*Δm
ΔE = (3.00 *10^8 m/s)² *(0.54887 amu))*(1.00 g/ 6.02 *10^23 amu)*(1kg/1000g)
Step 3: Calculate binding energy per nucleon
ΔE = 8.21 * 10^-11 J
8.21* 10^-11 J / 59.9338 = 1.368 *10^-12
Complete Quetion:-The mass of a proton is 1.00728 amu andthat of a neutron is 1.00867 amu. What is the binding energy pernucleon (in J) of a Co nucleus? (The mass of a cobalt-60 nucleus is59.9338 amu.) a. 3.039× 10^-12 b. 2.487 × 10^-12 c. 7.009 × 10^-14 d. 1.368 × 10^-12 e. 9.432 × 10^-13
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find the volume of the given cylinder. use 3.14 for π and round the nearest tenth
Answer:
The required volume of the given cylinder will be 1607.7 cubic inches.
What is the volume of a cylinder?
The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
Given that the radius and height of a cylinder are 8 in. and 8 in. respectively
The volume of a cylinder V = πr²h
As per the given question,
Here r = 8 in. and h = 8 in.
The of a cylinder = 3.14 × (8)² × (8)
Apply the multiplication operation,
The volume of a cylinder = 1607.7 cubic inches
Therefore, the required volume of the given cylinder will be 1607.7 cubic inches.
what is the maximum acceleration of a platform that oscillates at amplitude 2.40 cm and frequency 9.90 hz?
The maximum acceleration of a platform is 92.7 m/s².
What is an oscillation?
Oscillation is the process of any quantity or measure repeatedly varying about its equilibrium value in time. A periodic variation of a substance between two values or around its center value is another definition of oscillation.
We know,
The acceleration amplitude = [tex]a_{m}[/tex] = ω²[tex]x_{m}[/tex]
Here,
ω = angular frequency (ω=2[tex]\pi[/tex]f)
There are 2[tex]\pi[/tex] radians in one cycle, so we obtain:
[tex]a_{m}[/tex] = ω²[tex]x_{m}[/tex] = (2[tex]\pi[/tex]f)²[tex]x_{m}[/tex] = (2[tex]\pi[/tex](9.90Hz)²(0.024m) = 92.7 m/s².
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is the coefficient of static friction always constant between the same two surfaces? explain how you know.
Due to the fact that it is more difficult to initiate motion than to maintain it, the coefficient of kinetic friction is almost always lower than the coefficient of static friction.
What is static friction ?The form of friction between static or motionless surfaces is known as static friction. On the other hand, kinetic friction is the resistance between two surfaces while at least one of them is moving.
Due to the fact that there are more forces operating to maintain an object stationary on a given surface than there are forces resisting an object in motion, the coefficient of static friction is always greater than or equal to the coefficient of kinetic friction.
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Which of the following expression is correct for radiation efficiency?
a) ηr=PrPl
b) ηr=PrPr−Pl
c) ηr=PrPr+Pl
d) ηr=PlPr+Pl
The ratio of power emitted to the total power applied to the antenna is known as radiation efficiency. The equation for radiation efficiency, r=PrPr+Pl, is accurate.
How is radiation efficiency determined?
The ratio of an antenna's output power to the power input into its excitation port is known as the radiation efficiency of the antenna. Here, the power loss resulting from port impedance mismatch is not taken into account. The radiation effectiveness of a lossless antenna in its ideal
What are total efficiency and radiation efficiency?
Losses in the conductor and the dielectric dissipate the power that is not radiated. Total efficiency measures how much power is incident from the network and how much is radiated, taking into account both reflection loss and energy dissipation.
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A Styrofoam cup holding 125 g of hot water at 1.00×102∘C cools to room temperature, 20.0 ∘. What is the change in entropy of the room? (Neglect the specific heat of the cup and any change in temperature of the room.)
The change in entropy of a system will be 6.25 kJ/K. For further explanation you can read below.
The change in entropy of a system is given by the equation ΔS = Q/T, where Q is the heat transferred and T is the temperature at which the transfer occurs. In this case, the temperature of the hot water is initially 1.00×102 ∘C and it cools to room temperature, which is 20.0 ∘C. Note that entropy is a measure of the disorder or randomness of a system, and that this calculation assumes that the heat from the hot water is completely transferred to the room, increasing its disorder. It also assumes that the specific heat of the cup and any change in temperature of the room are negligible, which is generally a good approximation for a small cup of hot water in a large room.
We can therefore calculate the change in entropy of the room as follows:
ΔS = Q/T = (125 g * 1.00×102 ∘C - 125 g * 20.0 ∘C) / (20.0 ∘C)
= 6.25 kJ/K
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Multiple choice
There is a positive correlation between one's level of
A. cognitive anxiety and somatic anxiety
B. trait anxiety and state anxiety
C. arousal and stress
D. a and c
E. b and c
There is posetive correlation between one's level of cognitive anxiety and somatic anxiety.
What is correlation?Correlation is a statistical of the measure that is expresses the extent to the which two variables are the linearly related (meaning they change together at its constant rate). It's a common tool for describing simple relationships without making a statement about cause and effect.
An individual with higher of the trait anxiety score tends to the higher state anxiety score. Scores of state anxiety are rated high in the circumstances where an individual feels the situation to be threatening irrespective of the objective danger.
It means the higher the level of the somatic or cognitive anxiety experience by the athletes, the lower sport to performance. The relationship between somatic and cognitive anxiety was explained best in Multidimensional Anxiety Theory. This theory explains by that both cognitive and somatic anxiety effect performance.
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in a car lift used in a service station, compressed air exerts a force on a small piston of circular cross-section having a radius of 3.17 cm. this pressure is transmitted by a liquid to a second piston of radius 16.2 cm. what force must the compressed air exert in order to lift a car weighing
The compressed air must exert a force of 508.47N on the small piston in order to lift the car weighing 13300 N and the pressure exerted is 16.14x10^4Pa.
Given circular cross-section having a radius (r1) = 3.17cm = 3.17x10-2m
The pressure is transmitted by a liquid to a second piston of radius (r2) = 16.2cm = 16.2x10-2m
Force exerted on car (F2) = 13300N
Here pascals principle is applied.
We know that Pressure (P) = force/area
P1 = P2 then F1/A1 = F2/A2
Area of the circle = π*r²
F1/π*(3.17x10-2)^2 = 13300/π*(16.2x10-2)^2
F1 = 508.47N
(b) The air pressure will produce a force of that magnitude P =F/A
P = F1/A1 = 508.47/ π*(3.17x10-2)^2 = 16.14x10^4Pa
(c) As a result, the work is equal in both pistons. The little piston displaces a small volume of liquid, which is dispersed across the large piston in a thin layer.
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complete question: In a car lift used in a service station, compressed air exerts a force on a small piston of circular cross section having a radius of r1 = 3.17 cm. This pressure is transmitted by an incompressible liquid to a second piston of radius 16.2 cm. (a) What force must the compressed air exert on the small piston in order to lift a car weighing 13,300 N? Neglect the weights of the pistons. (b) What air pressure will produce a force of that magnitude? (c) Show that the work done by the input and output pistons is the same.
A Banked circular highway curve is designed for traffic moving at 60km/h. The radius of the curve is 200m. Traffic is moving along the highway at 40 km/hr on a rainy day. What is the minimum coefficient of friction between tired and road that will allow cars to take the turn without sliding off the road? (Assume the cars do not have negative lift; curious to know what is negative lift?, a wiki search on car handling will help.)
The Coefficient of friction u = 0.078
Calculate the following?
Radius of curvature r = 200 m
First we need banking angle at v = 60 Km/h = 60(1000 m/3600 s) = 16.66 m/s
At this speed (for which the road is designed)
Coefficient of friction v^2/rg = sin A
sin A = (16.66)^2/(200*9.8)
sin A = 0.1416
A = 8.141 degrees
For no slipping at the banking angle at the lower Speed v = 40 Km/h = 40 (1000 m/3600 s) =11.11 m/s ,
mv^2/r = mg sin A - u mg cos A
0.617 = (9.8*0.1416) - u (0.9899*9.8)
0.617 = 1.387 - u (9.7)
9.78 u = 0.77
∴ Coefficient of friction u = 0.078
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a radio mostly consists of an lc circuit with a variable capacitor. turning the dial of the radio changes the capacitance of the circuit. you hear a radio station when the frequency of the lc circuit matches the frequency of light from the radio station. the variable capacitor in the tuner of an am radio has a capacitance of 1350pf when the radio is turned to a station at 550khz. [10 points] a. what must be the capacitance for a station at 1600khz? [7 points] b. what is the inductance (assumed to be constant)? [3 points]
The capacitance of the circuit is C = 8.382 F
What is an LC circuit ?A signal at a specific frequency can be detected or produced using LC circuits. The most typical use of tank circuits is for tuning radio transmitters and receivers. The LC circuits, for instance, create a resonance for that carrier frequency when you tune a radio to a particular station.
Given : a LC circuit
and the frequency given is 550khz = 550000 Hz
w = 2πf
and w = [tex]\sqrt{\frac{1}{LC} }[/tex]
this implies;
2πf = [tex]\sqrt{\frac{1}{LC} }[/tex]
On squaring both sides we get
4pi^2f^2 = [tex]\frac{1}{LC}[/tex]
thus C = [tex]\frac{1}{4pi^2f^2}[/tex]
after substituting the value in this equation we get;
C = 1/ ( 4 × 3.14 × 3.14 × 550 × 550 )
C = 8.382 F
Thus the capacitance is C = 8.382 F
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Need help please help
Work = (force) x (distance)
Force exerted on the box = 10 Newtons
Dictance the box travels = 6 meters
Work = (force) x (distance)
Work = (10 N) x (6 meters)
Work = 60 Newton-meters
Work = 60 Joules (A)
Mass of the box . . . . . . .. |
Coefficient of friction . . . | We don't care about
Force of friction . . . . . . .. | any of these things.
Color of the box . . . . . . . | They don't matter
Price of the box . . . . . . .. | or make any difference.
Contents of the box . . .. |
Temperature of the box.|
Dimensions of the box .. |
Age of the box . . . . . . . . |
Which of the following techniques are based on the scattering of radiation?
Two methods based on the scattering and absorption of light by a dispersion of colloidal particles are turbidimetry and nephelometry. The detector in turbidimetry is positioned parallel to the source.
Colloidal particles: What are they?
Small solid particles known as colloidal particles are dispersed in a fluid phase. Typically, they range in size from 10 nm to several microns. As long as the buoyancy imbalance between both the nanoparticles and the liquid is not too great, they are now small sufficiently to be sustained in the flow by thermal motion.
How are colloidal particles formed?
Particles of colloidal size are formed by two methods: Dispersion methods: that is, by breaking down larger particles. For example, paint pigments are produced by dispersing large particles by grinding in special mills. Condensation methods: that is, growth from smaller units, such as molecules or ions.
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