The net torque about the vertical axis of the current loop due to the interaction of the current with the magnetic field is 1.039 * 10⁻⁴ N m.
The torque is described as
τ = N* I* B* A* sin θ
Where,
N = Number of loops
I = Current
B = Magnetic Field
A = Cross-sectional Area
θ = Angle between the loop and the magnetic field.
At this case the angle would be θ = 90° - 30° = 60°
Given that,
I = 0.5 A
B = 0.3 T
A = (0.04) (0.02) = 8* 10⁻⁴ m
N = 1
Replacing in our equation we have
τ = N* I* B* A* sin θ
τ = 1* 0.5* 0.3* 8* 10⁻⁴* sin 60°
τ = 1.039 * 10⁻⁴ N m
Therefore, the net torque about the vertical axis of the current loop due to the interaction of the current with the magnetic field is 1.039 * 10⁻⁴ N m.
The question is incomplete. The complete question is 'Assume that the loop is initially positioned at θ = 30° and the current flowing into the loop is 0.500 A . If the magnitude of the magnetic field is 0.300 T , what is τ,'
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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.
which model of the universe is currently the most accepted in light of the discovery of dark energy?
An accelerating universe is currently the most accepted in light of the discovery of dark energy.
A hypothesized energy known as "dark energy" acts in opposition to gravity by exerting a repellent, negative pressure. It has been proposed to explain the observable characteristics of far-off type Ia supernovae, which reveal the universe is expanding at a faster rate than usual.
Saul Perlmutter, Brian Schmidt, and Adam Riess are the recipients of the 2011 Nobel Prize in Physics. They made the stunning conclusion that the universe's expansion is speeding up as a result of their observations of far-off stars exploding.
The distance measurements utilizing type Ia supernovae (SN Ia) for the galaxies at high redshift provide the most direct and compelling evidence for the expanding cosmos powered by dark energy.
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why should we consider the normal force exerted on the block rather than the gravitational force exerted on the friction block?
A secondary amine, that is. The main organic product that results from the following reaction is 3-dimethylbutan-2-amine.
How can you identify the main reactions products?There are two possible outcomes when an asymmetrical alkene is combined with an asymmetrical reactant like HBr, HCl, or H2O. The main product of this reaction can be predicted using the Markovnikov Rule, which stipulates that hydrogen will be added to the carbon with additional hydrogen.
Why is normal force the antidote to gravity?When a force is applied to a solid surface, the normal force is created. The surface will apply an equal and opposing force to the object in touch in accordance with Newton's third law. The normal force will be attempting to balance the weight of the object due to gravity if it is resting on a level surface.
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Density, temperature, and pressure increase as you move inward in the interior of the Sun. This means that the weight of the star pushing inward at a given radius _________ as you move inward toward the core.
a. increases
b. decreases
c. stays the same
d. There is not enough
Answer:
d
Explanation:
Density, temperature, and pressure increase as you move inward in the interior of the Sun. This means that the weight of the star pushing inward at a given radius _________ as you move inward toward the core.
a. increases
b. decreases
c. stays the same
d. There is not enough
what is the apparent weight of a 0.80 g drop of water
Therefore, the apparent weight of 1.1 g of water is 3.57 N.
What is apparent weight?
According to physics, an object's perceived weight is a characteristic that describes how heavy it is. When the force of gravity acting on an item is not counterbalanced by a force of equal but opposite normality, the apparent weight of the object will differ from the actual weight of the thing.
given
Speed of rotation, N = 1300 rpm
diameter, d = 35 cm, so that
radius, r = 17.5 cm = 0.175 m
mass of drop = 0.80 g = 0.80 *10^-3 kg
Angular speed of water, ω = 2πN/60
ω = 2π*1300/60
ω = 8169.2/60
ω = 136.15 rad/s
apparent weight will be gotten by
W(a) = mω²r
W(a) = 0.80*10^-3 * 136.15² * 0.175
W(a) = 0.80*10^-3 * 18536.82 * 0.175
W(a) = 3.57 N
Therefore, the apparent weight of 1.1 g of water is 3.57 N.
Complete question: The spin cycle of a clothes washer extracts the water in clothing by greatly increasing the water's apparent weight so that it is efficiently squeezed through the clothes and out the holes in the drum. In a top loader's spin cycle, the 35-cm-diameter drum spins at 1300 rpm around a vertical axis.
What is the apparent weight of a 0.80 g drop of water?
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Why is the electric field negative?
Since the electric field is proportional to the size of the electric charge, which is always positive, it can never be negative. It is directly related to the size of a charge.
Additionally, as the charge is moved further away, the electric field's strength weakens. Electric field is the Force that a charge experiences divided by the amount of the charge. Thus, we consider the mod of charge as the magnitude. Thus, even in cases when the charge is negative, it turns positive due to the mod. Thus, Electric Field similarly changes to a positive state. Consequently, the electric field is always positive. The experiment is related to the orientation of the electric field line from the positive end to the negative.
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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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a planet that has mass 10 jupiter masses is in a close orbit around its star. the system is estimated to be 2 billion years old. which method of exoplanet detection is best suited to finding it, if any?
The method of exoplanet detection is best suited to finding are :-
Radial Velocity. Watching for Wobble. 1020 planets discovered.Transit. Searching for Shadows. 3938 planets discovered.Direct Imaging. Taking Pictures. 62 planets discovered.Gravitational Microlensing. Light in a Gravity Lens. 145 planets discovered.Astrometry. Minuscule Movements. 2 planets discovered.A planet is a large, rounded astronomical body this is neither a star nor its remnant. The first-class available idea of planet formation is the nebular hypothesis, which posits that an interstellar cloud collapses out of a nebula to create a young protostar orbited via a protoplanetary disk. Planets grow on this disk with the aid of the slow accumulation of cloth driven via gravity, a technique known as accretion. The sun machine has at least eight planets: the terrestrial planets Mercury, Venus, Earth and Mars, and the large planets Jupiter, Saturn, Uranus and Neptune.
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you fly from seattle, washington to salt lake city, utah and then from salt lake city to portland, oregon. describe the meaning of adding the two velocity vectors together for each trip. explain how you could estimate the total time the entire trip would take using the vectors.
One simple resultant vector is produced when two vectors are added. Depending on the quantity that the resultant vector represents, we can infer its meaning.
What is the best way to merge two velocity vectors?In order to directly sum the two velocities, we can use the formulae v tot = v x 2 + v y 2 v tot = v x 2 + v y 2 and = tan 1 (v y / v x) = tan 1 (v y / v x).
Adding vectors produces what outcome?A resulting displacement results from the addition of displacement vectors. The only requirement is that the two vectors must be of the same vector quantity in order to add them. There will be a consequent velocity if two additional velocity vectors are added. There is a resultant force when two vectors are added.
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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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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
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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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 is movement of the foot upwards, as when walking on your heels, called? multiple choice question.
"Dorsiflexion" is the lifting of the front of foot to direct the top of the foot toward the front leg.
Explain the term dorsiflexion?The backward bending then contracting of the hand or foot is known as dorsiflexion.
Your foot's ankle and your hand's wrist are extended in this way. Although the term "dorsiflex" typically refers to the wrist or ankle, you can also do it with your fingers and toes.The ankle joint, that is a joint, can move in the dorsiflexion as well as plantar directions. Dorsiflexion is the lifting of the front of the foot such that the top of the foot travels toward the anterior leg, whereas plantar flexion is the lifting of the heel off the ground as well as pointing the toes downward. The ankle joint can only move in these directions.Thus, Dorsiflexion is the lifting of the front of the foot to direct the top of the foot toward the front leg.
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The complete question is-
what is movement of the foot upwards, as when walking on your heels, called?
multiple choice question.
DorsiflexionPlantarflexionnow 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 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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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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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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a block of mass 2 kg travels along a horizontal frictionless surface with velocity 3 m/s. the mass collides with another mass, m, and rebounds with velocity -1 m/s. what impulse was delivered to mass m?
A block of mass 2 kg travels along a horizontal friction less surface with velocity 3 m/s. the mass collides with another mass, m, and rebounds with velocity -1 m/s. Thus, impulse was delivered to mass m = 8 kg.m/sec.
What is impulse?Since fast-acting force or "impact" is what is meant when the word "impulse" is used, it is possible to define impulse as "the abrupt force operating on an item for a brief period of time."
In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion.
Given that,
mass of block = 2 kg
horizontal friction less surface with velocity = 3 m/s.
the mass collides with another mass m and rebounds with velocity -1 m/s.
So, impulse = mass × (change in velocity)
or, impulse = 2 kg × [3-(-1) m/sec]
or, impulse = 8 kg .m/sec
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Label the parts of the transverse wave. amplitude: crest : trough: wavelength:
A transverse wave oscillates perpendicular to the direction of energy transfer. A = Crest, B = trough, C = Amplitude, and D = Wavelength.
What is a transverse wave?
In physics, A wave whose oscillations are perpendicular to the direction of the wave's advance is called a transverse wave. This is the difference from a longitudinal wave which travels in the direction of its oscillations. Water waves are samples of a transverse wave. A simple example is given by the waves that can be built on a horizontal length of the string by anchoring one end and moving the other end up and down.
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on a circular path of radius 9 cm in air around a solenoid with increasing magnetic field, the emf is 33 volts. a wire with resistance 4 ohms is placed along the path. what is the current in the wire? a
A wire with resistance 4 ohms is placed along the path. The current in the wire I = 8.25.
calculation,
It is given that,
Radius of the circular path, r = 9 cm = 0.09 m
EMF of the solenoid, E = 33 volts
Resistance of the wire, R = 4 ohms
We need to find the current in the wire. It can be calculated using the Ohm's law. Its mathematical relation is given by :
E= IR
I = E / R
I = 33V / 4 OHM
I = 8.25
The ohm is the usual unit of electrical resistance within the international system of devices ( SI ). Ohms also are used, when increased through imaginary numbers, to indicate reactance in alternating-modern ( AC ) and radio-frequency ( RF ) programs.
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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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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 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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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.
The law of conservation of energy states that (1 point) Group of answer choices all energy in the universe comes from the sun and remains in the same form energy is neither created nor destroyed; it is transformed and transferred new energy within a system is converted or transferred and destroyed as it is used energy is created from the sun and is transformed from one type to another
The law of conservation of energy states that energy is neither created nor destroyed; it is transformed and transferred (option B).
What is the law of conservation of energy?The law of conservation of energy is a principle stating that energy may not be created or destroyed but can only be transformed i.e. converted from one form to another.
This means that a system always has the same amount of energy, unless it's added from the outside.
The law states that the total energy of an isolated system remains constant; it is said to be conserved over time.
Therefore, according to this question, the law of conservation of energy is described correctly by option B.
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Draw the Lewis structure for KrCl4 and answer the following questions. How many valence electrons are present in this compound? How many bonding electrons are present in this compound? How many lone pair (non-bonding) electrons are present in this compound?
The total number of valence electrons are present in this compound is 36, total bonding electrons are 8, total lone pair electrons are 28
a)The total number of valence electrons are present in this compound
Each chlorine contributes 7 Valence electrons
Krypton atom has 8 valence electrons
total number of valence electrons are 8 + (7 × 4) = 36e
b)Total bonding electrons are 4 single bonds
Therefore, Total bonding electrons are 4 × 2 = 8e
c)Krypton atom has Two lone pairs on it, chlorine has three lone pairs .
Total lone pair compounds are 2 × (4 × 3) = 14 one pairs
Total lone pair of electrons 2 × 14 =28e
An electron in an atom's outer shell is known as a valence electron, and if the outer shell is open, the valence electron can take part in the formation of a chemical bond.
The valence of an element—whether it can bond with other elements and, if so, how readily and with how many other elements—may be determined by the existence of valence electrons. Thus. the electrical. arrangement. of an element has a significant. impact on its. reactivity. A valence electron can only be found in the outermost electron shell of a main-group element; but, in a transition metal, it can also be found in an inner electron shell.
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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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A person exerts a constant force of 45 N directed at angle θ to the horizontal on a crate of weight 100 N to pull it from one end of a room to another, a distance of 4.0 m. Given that the vertical component of the force is 12 N, calculate the work done by the person on the crate.
Answer:
45 newtons
Explanation:
A person exerts a force of 45 N at an angle θ then the work done by the person on the crate will be 173.48 J.
What is Work?
Work is a physics term used to describe the transfer of energy that takes place when an object changes above a distance because of an external force, at least some of which is given in the vector of the dislocation. The element of the force acting all along the path multiplied by the length of the path can be used to calculate work if the force is constant.
Mathematically, this idea is expressed as W = fd, where W is the effort and f is the force multiplied by d, the distance. Work is completed whenever the force is applied at an angle of with regard to the displacement.
As per the given information in the question,
Force, F = 45 N
Weight, w = 100 N
Distance, d = 4 m
The Vertical component of force, f(y) = 12 N.
To determine the force's component parts in this situation, we need formulae.
The horizontal component, F(x) = F cos θ
The vertical component, F(y) = 12 N
As the force F is given as 45 N, then,
45 sin θ = 12
sin θ = 12/45
θ = 15.466
Now,
F(x) = F cos θ
= 45 cos (15.466)
F(x) = 43.37 N
The work required to move the crate 4 meters is determined by this horizontal component:
W = F(x) × D
W = 43.37 × 4
W = 173.48 J.
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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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