The individual effect of salinity reduced organism performance in 43% of the observations, including decreased survival and growth, increased osmolyte content in bodily fluids, altered metabolic rates, etc.
What effects does salinity have on aquatic life?Estuarine water's salinity varies from one estuary to the next and can alter day to day based on the tides, weather, and other variables. Estuaries are transitional regions that connect land and water, as well as habitats for both freshwater and saltwater species.Ocean water density can be impacted by salinity: Water with a higher salinity is denser, heavier, and will sink beneath less salinized, warmer water. Ocean currents may be impacted by this. It may also have an impact on marine life, which may need to control how much saltwater it consumes.It makes a significant contribution to conductivity and influences many aspects of the chemistry of natural waters as well as the biological activities that take place there. Temperature, pressure, and salinity all influence the physical properties of water, including its density and heat capacity.To learn more about aquatic ecosystem with a different salinity refer to:
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a car traveling north with a velocity of 30 m/s slows down to a velocity of 10 m/s within 10 seconds. what is the car's acceleration?
Within 10 seconds, the speed of an automobile moving north at 30 m/s drops to 10 m/s. The vehicle acceleration at 2 m/s².
The initial velocity of a car, u = 30 m/s
The final velocity of the car, v = 10 m/s
Time, t = 10 s
To find,
The rate of change of the car's velocity determines the acceleration. The formula provides it as follows:
a=v-u/t
a=10-30/10
a=-2 m/s²
As a result, the car's acceleration is 2 m/s².
The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. In vector quantities, accelerations exist (in that they have magnitude and direction). The direction of the net force that is acting on an object determines its acceleration. According to Newton's Second Law, the magnitude of an object's acceleration is the combined result of two causes: the net balance of all external forces acting on that object — magnitude is directly proportional to this net resulting force — and that object's mass, depending on the materials out of which it is made — magnitude is inversely proportional to this object's mass. The meter per second squared (m/s2) unit of acceleration in the SI system.
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what is the closest you can be to speaker b and be at a point of perfectly destructive interference?
The closest you can be to speaker B and be at a point of perfectly destructive interference- 1.008m.
The wavelength of sound emitted by speakers
= velocity / frequency
= 344 / 172
= 2 m
For destructive interference , path difference is equal to odd multiple of half the wavelength .
path difference = 2 / 2 = 1 m
d₂ - d₁ = 1 m
d₂ = d₁ + 1 m
d₂ = .008 m + 1
d₂ = 1.008 m
So, the closest you can be to speaker B and be at a point of perfectly destructive interference- 1.008m.
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The complete question is:
Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 172 HzHz. You are 8.00 mm from speaker A. Take the speed of sound in air to be 344 m/sm/s. What is the closest you can be to speaker B and be at a point of perfectly destructive interference?
based on this model, how much of the energy will the tertiary consumers receive if the primary consumers have 3600 joules of energy?
The tertiary consumers obtain 36 joules of energy if the primary customers use 3600 joules.
What are the 9 types of energy?Energy, radiant energy, energy source, nuclear energy, electric power, motion energy, energy, elastic energy, and gravitational energy are among the several types of energy.
Why is energy important?Modern medical technology, transportation, communications, computers, and numerous other items are all driven by energy. Particularly urgent is the need for affordable, reliable energy in rising economies. It might even save a person's life.
Briefing:Consequently, if the main consumers use 3600 joule of energy,
the tertiary customers get
=3600×10%×10% joules
= 36 joules.
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what is the equivalent capacitance for the circuit of the figure? (figure 1)
Answer:
The battery is connected to a series-parallel combinationof capacitors.The two rightmost paralle
The SI units for position, velocity, and acceleration are, respectively: Question 11 options: m, m/s, m/s^2 kg, m/s, m^2/s m, m/s, m^2/s kg, m/s, m/s^2
Answer:
Explanation:
position: m
velocity: m/s
acceleration: m/s²
In the Doppler effect it Is important to distinguish between frequency and speed. speed and velocity: speed and acceleration: distance and displacement
In the Doppler effect, the important things to distinguish between are frequency and velocity (speed).]
Doppler effect is the frequency change of a wave in relation to an observer that is moving relative to the source of the wave. It happens because when the source of the waves is moving towards the observer, each wave crest is emitted in a closer position to the observer than the previous wave. That makes each wave takes less time to reach the observer compared to the previous wave, causing an increase in frequency.
Since the Doppler effect is all about frequency change and a moving object is involved in it, it's important to distinguish between wave frequency and the speed the object is moving in.
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In order to determine causal effects between variables, researchers must use. a. Correlational designs b. Case studies c. Experimental designs d. All of the above
Researchers must employ a correlational design to ascertain the causes of the relationships between the variables.
Finding correlations between variables and enabling the forecasting of future events from the past are the goals of correlational research. If there is a correlation between two variables, it may be that one of them is a cause and the other an effect. But it's impossible to determine which is which because to the correlational research methodology. Researchers don't draw causal conclusions from correlational studies in order to be safe. Without changing an independent variable, correlational research entails measuring two variables and analyzing their connection. A correlation does not prove a cause. A research design known as a correlational study examines the connections between two or more variables.
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a muon is traveling at 0.4c0.4c relative to a laboratory frame of reference. the speed of the muon is doubled to 0.8c0.8c. part a what happens to the momentum of the muon in the laboratory frame of reference?
When measured in a laboratory frame of reference, the momentum more than doubles to that of the muon.
A muon and an electron are two different particles.Compared to the electron, muons are 200 times heavier. They are intriguing because of their higher mass, but they are also unstable because of it. While muons only last for two microseconds, or two millionths of a second, before decaying, electrons persist for an infinite amount of time.
For what purposes do muons?Nuclear power reactors with damage can be seen inside using muon technology. In order to look into big, thick monuments like the Egyptian pyramids, scientists employ muons in their archeological research.
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Place the events of synaptic transmission from earliest to latest + Place these in the proper order.
Calcium enters the synaptic knob
Calcium triggers exocytosis of vesicles
Action potential reaches synaptic knob
Neurotransmitter diffuses across synaptic cleft
Neurotransmitter binds to postsynaptic receptors
Voltage-gated calcium channels
open Do you know the answer? Unsure No Idea I know it Think so 40
Proper order is 1) action potential reaches the synaptic knob, 2) voltage gated calcium channels open, 3) calcium enters the synaptic knob, 4) calcium trigger exocytosis of vesicles, 5) neurotransmitter diffusion across synaptic cleft 6) neurotransmitter binds to postsynaptic receptors.
The "pressure" that drives electricity is known as voltage. Higher voltages cause more electricity to flow to an electronic equipment. The voltage is measured in units called volts (V), and it is symbolized by this unit. The circuitry in electronic devices can be harmed by high voltages because they are made to function at specified voltages.
In contrast, a voltage that is too low can also lead to problems since it disables circuits and renders the devices that are constructed around them inoperable. In order to manage electronic devices properly and locate the root causes of troubles when they arise, one needs to have a basic understanding of voltage and how to resolve related problems.
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jessie and jaime complete a 4.0 km race. each has a mass of 68 kg. jessie runs the race at 15 km/h; jaime walks it at 5.0 km/h. use the table below.
It is calculated that each person required 656.91 J of metabolic energy to finish the course.
How is energy formed?When electrons transfer by one atom to the next, energy is produced. Energy can also take the form of heat or light. It is also possible to convert one type of energy into another. Potential energy that has been stored converts to electric energy using a battery.
Briefing:The following formula is used to determine Jessie and Jaime's kinetic energy:
K.E = ¹/₂mv²
where;
m is mass of Jaime
v is speed
15 km/h = 4.17 m/s
4 km/h = 1.39 m/s
K.E = ¹/₂(68)(4.17)² + ¹/₂(68)(1.39)²
K.E = 656.91 J
Thus, it is calculated that each person required 656.91 J of metabolic energy to finish the course.
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The complete question is-
Jessie and Jaime complete a 4.0 km race. Each has a mass of 68 kg. Jessie runs the race at 15 km/h; Jaime walks it at 5 km/h. How much metabolic energy does each use to complete the course.
Brad climbs a vertical distance of 400 meters in 340 seconds. If his weight is 637 Newtons what is the power he has exerted? P=W/t OR P=Fd/t OR P=Fv
Brad must have exerted a power of 749.4 Watts.
What is Power?The power is a measure of the rate at which work is done (or similarly, at which energy is transferred). The standard unit of power is Watt (W).
The power is determined by the change in energy, which is the time taken in seconds.
According this it follows that one watt is equal to one joule of work done per second.
Power can also be mathematically represented as;
P = mgh/t
or P = Fd/t
where F = W = 637N
d = 400 meters
t = 340 seconds
P = (637 x 400) / 340
P = 749.4 Watts.
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what is the energy in joules of one photon of x-ray radiation with a wavelength of 0.120 nm?
The energy of one photon of x-ray radiation with a wavelength of 0.120 nm is 1.65 × 10⁻¹⁵ Joule.
What is photon energy?
The energy that a single photon carries is known as photon energy. Energy is inversely correlated with wavelength because it is directly proportional to the electromagnetic frequency of the photon.
Given that wavelength of photon is 0.120 nm.
Then, energy of photon is= hc/λ
= (6.6×10⁻³⁴×3×10⁸)/(0.120×10⁻⁹ Joule.
= 1.65 × 10⁻¹⁵ Joule.
Hence, the energy of photon is 1.65 × 10⁻¹⁵ Joule.
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Guidlines for replenishing fuel during endurance events include
A. consume 30 to 60 grams of carbohydrate per hr
B. use only one type of carbohydrate to avoid gastrointestinal upset
C. use a protein supplement every 30 mins
D. avoid fluid during exercise
Carbohydrates are the nutrition that matters most during endurance activity. Your muscles and liver both contain glycogen, which is the body's preferred form of energy storage. These stockpiles run low and exhaustion comes in when you exercise for more than 90 minutes.
What kinds of energy are required by endurance athletes?
For endurance sports, carbohydrates are frequently the preferred fuel source, so they take center stage in many athletes' nutrition programs. An additional source of carbohydrates is typically necessary to maintain peak performance because the body burns through its glycogen reserves, even at a pace below maximum
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13. two freight cars, each with a mass of 3.0105 kg, collide and stick together. one was initially moving at 2.2 m/s, and the other was at rest. what is their final speed?
The final speed of cars, when the collide and stick together, will be 1.1m/s
What is linear momentum and how it can be calculated?Linear momentum is the vector quantity and it happens when a particle moves with some velocity.
Thus, linear momentum = mass × velocity.
For an isolated system, the system's total momentum will remain unchanged.
Calculation:The expression for the initial momentum is given by
p1=mv1+mv2
here, p is the total initial momentum of the system
it is given that both cars stick together after the collision, so the final velocity of each car will be the same
The expression for the final momentum is given b
pf=mv+mv
So, equating total initial and final momentum
pi=pf
v1+mv2=mv+mv
v=v1+v2/2
Substitute,
v=2.2m/s+0/2
v=1.1m/s
Thus, the final speed of each car is 1.1.m/s
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a star's color tells us ... question 8 options: its rotational speed. how much energy a star produces. both how much energy it produces and its surface temperature. its surface temperature.
A star's color mostly indicates its surface temperature. However, it could also be used to estimate the age of the star.
There are several types of stars according to their colors which include the following;
O-class starsM-class starsB-class starsA-class starsF-class starsG-class starsThe O-class stars are often blue in color and they are the hottest while the M-class stars are red in color and their temperatures are very low compared to the others, making them the coldest type of stars.
The color of the star is not a major factor in the estimation of the age of the star though it could be used sometimes.
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if the mass of a wheel is increased by a factor of 2 and the radius is increased by a factor of 1.5, by what factor is the moment of inertia increased? model the wheel as a solid disc.
The Moment of inertia is increased by the factor of 3.
Rotational inertia, or moment of inertia, is the rotational equivalent of mass; this is the quantity we want to measure to see how much energy is needed to accelerate the wheel. We can measure the weight of a wheel relatively easily, but it is not necessarily true that the lightest wheel will have the smallest moment of inertia or vice versa. If we have a rigid body rotating with an angular velocity Ω about a fixed axis , each particle in it will have a certain amount of kinetic energy. A particle of mass m with radius r from the axis of rotation moves in a circle with radius r with angular velocity Ω around this axis. So it has a linear velocity v = Ωr and its kinetic energy K is ½ mv2 = ½ mΩ2r2. The total kinetic energy is the sum of the kinetic energies of its particles, and each particle in a solid moves with the same angular velocity Ω (it moves the same number of angular degrees per unit time), but the radius r can be different for different particles. So the total kinetic energy isK = ½ (m1r12 + m2r22 + …)Ω2 = ½ (∑miri2)Ω2
The moment of inertia of the wheel is given as
I = MR2
if M' = 2M and R' = 1.5R
then I' = M'R'2 = (2M)(1.5R)2 = 3.0 MR2 = 3I
so the factor is 3
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a particle of charge 10 nc is acted on by a uniform electric field of magnitude 210 n/c pointing in the negative z direction. the particle is initially at rest. the work done by the electric field when the particle has moved through a distance of 2.15 cm from its initial position is:
The work done by the electric field when the particle has moved through a distance of 2.15 cm from its initial position is 0.04515 J.
The work done by a force is defined to be the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
A force must be applied in order for work to be completed, and there must also be motion or displacement in the force's direction.
The amount of force multiplied by the distance moved in the force's direction is known as the work done by a force acting on an item. Work has no direction and only magnitude. Work is a scalar quantity.
As the given charge is positive so the force on the positive charge is in the direction of electric field according to the relation,
F = q×E (in vector form)
So, force on charge is in z direction.
Force on charge = qE
= 10*10-3*210 N
= 2.1 N
Work done = F.s
= 2.1*2.15*10^-2 J
= 0.04515 J
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Which of the following is not a type of radiation detector? (a) Geiger Muller (G.M.) counter (b) Proportional counter (c) Semiconductor radiation detector (d) Flame emission detector
Since it detects emissions from fires, the flame emission detector in the example is not a radioactive detector.
Which three main categories of radiation detectors are there?
Radiation detectors come in three primary categories. These include semiconductor detectors, gas ionization detectors, and detectors based on scintillation. The ionization chamber, proportional counter, and Geiger-Müller counter are gas ionization-based detectors.
Is Geiger radioactive in reverse?
A low pressure gas is kept in a copper cylinder in an early Geiger counter type while an electrical current passes through it. When a radioactive particle enters a cylinder, an electric current surge occurs, which is recorded on a counter.
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the longest wavelengths on the electromagnetic spectrum are ________.
Radio waves have the electromagnetic spectrum's longest wavelengths. Radio waves have wavelengths that are longer than one millimeter.
What is wavelength ?A waveform signal that is propagated in space or along a wire has a wavelength, which is the separation between two identical points (adjacent crests) in the adjacent cycles.
What are radio waves ?The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are normally found at frequencies of 300 gigahertz and below. The wavelength for 300 GHz is 1 mm, while the wavelength for 30 Hz is 10,000 kilometers.
So,
Radio waves have the electromagnetic spectrum's longest wavelengths. Radio waves have wavelengths that are longer than one millimeter.
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a car traveling along a highway needs a certain amount of force exerted on it to stop it in a certain distance. more stopping force is required when the car has question 40 options: less stopping distance. more momentum. more mass. all of these.
Based on the Second Law of Newton, a car traveling along a highway needs more amount of topping force exerted on it to stop when the car has less stopping distance, more momentum, and more mass (D).
Based on the Second Law of Newton, we know that the acceleration of an object is dependent to its resultant force and mass. The second law of Newton could be formulized as:
∑F = m.a
where:
F = the resultant force
m = the object's mass
a = the object acceleration
On the case, we know that a car is traveling along a highway. The car's stopping force will be dependent on the car's mass and its acceleration.
Let's dig deeper on acceleration part.
As we know, based on the linear motion concept, there are some equations to describe relationship between velocity, acceleration, distance, and time. Those equaations are:
v = u + at
s = ut + 1/2 at²
s = 1/2 (u+v)t
v² = u² + 2as
s = vt - 1/2 at²
where:
v = final velocity
u = tnitial velocity
a = acceleration
t = time
s = distance
If we subtitute one of acceleration equation to the second law of Newton, we will get:
F = m.a
v = u + at
a = (v-u)/t
F = m.(v-u)/t
F = mv - mu
t
Based on the momentum concept, we know that momentum is the result of multiplication between an object's mass and velocity. Hence the sopping force is also affected by the momentum of an object.
If we subtitute another acceleration equation, we will find another equation:
F = m.a
s = ut +1/2at²
a = 2(ut-s)
t²
F = m[2(ut-s)/t²]
This equation shows that the stopping force will also be affected by the distance of an object betweenn its initial position to its final position.
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(-)-menthol and (+) menthol will have an α of the different magnitudes.
Yes, (-)menthol and (+) menthol will have an α of the different magnitudes
What is menthol?
Menthol is an organic compound, more specifically a monoterpenoid, synthesized or extracted from the oil of field mint, peppermint, or other mints.It is a waxy, clear or white, crystalline substance that is solid at room temperature, Melt slightly on top.
The major natural form of menthol is (-)-menthol, which is assigned the (1R,2S,5R) configuration. Menthol has local anesthetic and anti-irritant properties and is commonly used to soothe minor irritations in the throat. Menthol also acts as a weak kappa opioid receptor agonist. The (+) and (-) enantiomers of menthol are the most stable of these due to their cyclohexane conformation. All three bulky groups can be placed at the equator if the ring itself is in the chair conformation.
Yes, (-)menthol and (+) menthol will have an α of the different magnitudes
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how much heat needs to be removed from 100 g of 85°c water to make -5°c ice?
The amount of heat that needs to be removed from 100 g of 85°c water to make -5°c ice is 70194 J of heat.
What is the heat change when 100 g of 85°C water changes to -5°C ice?The amount of heat that needs to be removed is calculated below.
Heat changes involved are as follows:
Heat change from water at 85°C to water at 0°C = mc₁ΔT₁
Heat change from water at 0°C to ice at 0°C = mL
Heat change from ice at 0°C to ice at -5°C = mc₂ΔT₂
where
m is mass = 100 g
c₁ is the specific heat capacity of water = 4.184 J/g/K
ΔT₁ is temperature change = 85°C
L is the latent heat of fusion of ice = 336 J/g
c₂ is the specific heat capacity of ice = 2.06 J/g/K
ΔT₁ is temperature change = 5°C
Heat change = (100 * 85 * 4.184) + (100 * 336) + (100 * 5 * 2.06)
Heat change = 70194 J
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if you drop the sand bag out of the cart right at the equibrium location, what effect will that have on the amplitude of your oscillation?
If I drop the sand bag out of the cart right at the equilibrium location, my oscillation amplitude b)will decrease, So, correct option is b.
On the off chance that it is situated toward the end, its dynamic energy will be equivalent to nothing, so the framework all in all would just have expected energy, which is characterized as:
[tex]E_p[/tex] = (1/2) × k ×A²
Where Aₙ is the sufficiency of the swaying.
As per the energy guideline, said energy should stay preserved, subsequently, the complete energy is equivalent to:
[tex]E_t_o_t_a_l[/tex] = (1/2) × k ×A²
Since the framework is in balance, as per the declaration of preservation of energy, the energy in the position situated toward the end would be equivalent to the energy in harmony. As the barricade falls, its dynamic energy diminishes, which is the reason the all out energy of the framework likewise diminishes.
Hence, correct option is b.
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(Complete question) is:
If you drop the sand bag out of the cart right at the equilibrium location, what effect will that have on the amplitude of your oscillation?
a)will increase
b)will decrease
c)will remain same
At Six Flags Great Adventure Amusement Park in New Jersey, a popular ride known as "Free
Fall" carries passengers up to a height of 33.5 m and drops them to the ground inside a small
cage. How fast are the passengers going at the bottom of the exhilarating journey?
At the bottom of the journey, the passengers will be travelling at a speed of approximately 39.2 m/s.
What is acceleration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration is usually denoted by the letter a in equations. It is the second derivative of position with respect to time, or the rate of change of velocity. Acceleration describes how quickly an object's speed changes with time. Acceleration can involve either an increase or decrease in speed, and it can involve either a change in direction or no change in direction.
This is because the velocity of a free falling object is equal to the square root of two times the acceleration of gravity times the height from which the object is dropped.
In this case, the height is 33.5 m, and the acceleration of gravity is 9.8 m/s2.
Therefore, the velocity at the bottom of the journey is equal to the square root of two times 9.8 m/s2 times 33.5 m, which is equal to 39.2 m/s.
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a 0.5kg hockey puck rockets towards the goalie. the goalie catches it in his glove, stopping it over the course of 0.3 seconds with a force of 400n. what is the acceleration of the puck in the glove?
When a 0.5 kilogramme hockey puck hurtles at the goaltender, its acceleration in the glove is 800 m/s2. F=ma a=F/m a=400/0.5 a=800 m/s2.
Acceleration refers to any process where velocity varies. There are only two ways to accelerate: either by speeding up your acceleration or by reversing your acceleration. Because velocity consists of both a speed and a direction, this is the case. You cannot possibly be accelerating if you don't also alter your direction and speed, regardless of how swiftly you are travelling. As a result, a jet does not suffer acceleration even while moving at a high speed—in this example, 800 miles per hour—because its velocity is constant.
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(a) the number of kilocalories in food is determined by calorimetry techniques in which the food is burned and the amount of heat transfer is measured. how many kilocalories per gram are there in a 5.00-g peanut if the energy from burning it is transferred to 0.500 kg of water held in a 0.100-kg aluminum cup, causing a temperature increase? (b) compare your answer to labeling information found on a package of peanuts and comment on whether the values are consistent.
a)The 5.00 of peanut has 5.73 Kcal/g of energy.
b)On comparing our answer to the label on package of peanut , it is found that the values are approximately same, the variation is due to the quality of peanuts.
a)
Given,
mass of peanut = 5.00 g
mass of water = 0.500 kg
mass of aluminium cup = 0.100 kg
temperature change = [tex]54.9 \textdegree C[/tex]
it is given that the heat from burning peanut is transferred to water and aluminium cup then,
the heat gained by water is [tex]Q_w=m_wC_w \Delta T[/tex]
Where,
[tex]m_w[/tex]= mass of water
[tex]C_w[/tex]= specific heat of water i.e.4184 J/kg°C
[tex]\Delta T[/tex]= change in temperature
[tex]Q_w[/tex][tex]=0.5*4184*54.9=1.15*10^5 J[/tex]
Now, the heat gained by aluminum cup is[tex]Q_{Al}=m_{Al}C_{Al} \Delta T[/tex]
Where,
[tex]m_{Al}[/tex]= mass of aluminium cup
[tex]C_w[/tex]= specific heat of water i.e.900J/kg°C
[tex]\Delta T[/tex]= change in temperature
[tex]Q_{Al}=0.1*900*54.9=4.94*10^3J[/tex]
then , the total heat gained by water and aluminium cup is
[tex]Q_T=(1.15*10^5)+(4.94*10^3)=1.20*10^5 J[/tex]
So,[tex]Q_T[/tex] is the heat transferred by burning of peanut to water and cup then the amount of heat for peanut will be same as [tex]Q_T[/tex],
[tex]Q_T=Q_{peanut}=1.20*10^5 J=\frac{1.20*10^5}{4184}=28.6 Kcal[/tex]
So, 5.00 g for peanut has 28.6 Kcal of energy then 1 g of peanut has [tex]\frac{28.6}{5}=5.73 Kcal.[/tex]
Hence, the 5.00 of peanuts have 5.73 Kcal/g of energy
b)
When we compare our answer to the label on the peanut package, we discover that the values are nearly identical; the difference is due to the quality of the peanuts.
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you have a pendulum clock made from a uniform rod of mass m and length l pivoting around one end of the rod. its frequency is 1 radian/sec. the pivot breaks. though the mass change is negligible, you need to rehang the rod halfway between the old pivot point and the middle of the rod. the new oscillation frequency is:
The new oscillation frequency is 1.07 rad/sec when the pendulum is rehanged to the rod halfway between the old pivot point and the middle of the rod.
What is the Period of oscillation?
The period of oscillation is the shortest amount of time after which the motion of the particle repeats. The period of oscillation is the length of time it takes for a particle to complete its to-and-fro motion.
What is a pendulum?A body suspended from a fixed point so that it can move back and forth while being pulled by gravity is called a pendulum. A pendulum's whole back-and-forth oscillation has a consistent time interval.
Calculations:
Period of pendulum T = 2 × √I/mgd
Where,
I = moment of inertia
L = length of the pendulum
m = mass
d = distance or L/2
g = acceleration due to gravity.
When pivoted at one end = I = 1/3mL²
When pivoted at other end = f = 1/2π × √mgd/I
f= 1/2π × √(mgL/2)/(1/3 mL²)
f= 1/2π × √ (3g)/(2L) -------------------- (i)
Now when pivoted mid way
I' = mL²/12 + m (L/4)²
I' = mL²/12 + m L²/16
I' = 7mL²/48
Thus here d= L/4
f' = 1/2π × √(mgL/4)/(7/48mL²)
1/2π × √(12g/7L) ----------------------(ii)
Then, f'/I = {1/2π × √(12g/7L)}/{1/2π × √ (3g)/(2L)}
= √ 1.14
~ 1.07 rad/sec.
Hence, the new oscillation frequency is 1.07 rad/sec when the pendulum is rehanged to the rod halfway between the old pivot point and the middle of the rod.
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A lever is used to raise a heavy rock which that weighs 445N. If the lever has a mechanical advantage of 9.5, what must be the effort force in the lever?
The length of the effort arm of a lever divided by the length of the resistance arm represents the optimal mechanical advantage.
What must be the effort force in the lever?First Class I Lever Trial: de = dr The force of the effort (Fe) multiplied by the effort's distance from the fulcrum (de) in a class one lever equals the force of the resistance (Fr) multiplied by the resistance's distance from the fulcrum (dr).The ratio of the effort arm's length to the resistance arm's length is known as the ideal mechanical advantage.The IMA is typically calculated as the effort force, Fe, divided by the resistance force, Fr.In addition, IMA is determined by dividing the load's travel distance (dr) by the distance over which the effort is applied (de).effort force = 445/9.5
= 46.84
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Which of the fillowing scenarios describle a car that is accelerating?
A. a car that is gradually coming to a stop?
B. a cor going, constant 50 mph on a straight road
C. a car that is changing lanes?
D. a car that is entering a highway from on entrance ramp?
Answer:
DDDDDDDDDDDDDDDDDDDDDDDDDDD
water falls without splashing at a rate of 0.260 l/s from a height of 3.80 m into a 0.760-kg bucket on a scale. if the bucket is originally empty, what does the scale read 3.50 s after water starts to accumulate in it?
When bucket is originally empty, then the scale reads after water starts to accumulate in it is T = 18.97 N.
What is net force?The net force is defined as the vector sum of forces acting on a particle or object. The net force is a single force that replaces the effect of the original forces on the motion of particle.
After 3.50 seconds, bucket contains 0.91 L of water, which has mass of 0.760 kg same as the bucket. The total mass m of the bucket and the water is 0.91 + 0.760 = 1.67 kg.
So, the gravitational force F,
As, F = mg = (1.67)(9.81) = 16.738N
There is an additional downward force resulting from the momentum of the water being poured and every second, there is 0.260 L = 0.260 kg of water hitting the bottom of the bucket.
Since water falls without splashing, this implies means we can neglect the height of the water that is already in the bucket, and just say that it has fallen full distance of x = 3.80 m.
After falling that distance, water will reach a velocity of sqrt(2gx) = 8.63 m/s
So, force W will be the change of momentum over time,
We know, W = mv/t
= (0.260 kg) (8.63 m/s) / 1 s
= 2.24 N
Total force, T = F + W
= 16.738 + 2.24
T = 18.97 N
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