The limited aquifer's water quality will probably be better.
What sets confined aquifers apart from unconfined aquifers?Unconfined aquifers are those where the ground's rock is directly exposed at the surface and groundwater is continuously refilled, for instance by precipitation or snowmelt. Thick deposits that surround an aquifer and keep it enclosed from the Earth's surface or other rocks are known as confined aquifers.
Which aquifer—confined or unconfined—produces less water?Because there is less drawdown over a smaller area with an unconfined aquifer than with a confined aquifer for the same rate of water withdrawal, unconfined aquifers are often preferred to confined aquifers from a hydraulic standpoint.
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A truck weighs 500 N on Earth. What's the mass of the truck?
O 5 Kg
O 50 Kg
500 kg
500 N
PLEASE HURRY
Answer:
Solution given:
Wight [W]=500N
gravity [g]=10m/s²
mass[m]=?
we have
W=mg
500=m*10
m=500/10
m=50kg
the mass of the truck is 50kg.
Please for the love of humanity please answer this question and my other question...
Answer:
It's "C"
Explanation:
Friction slows things down.
"Friction always slows a moving object down. The amount of friction depends on the materials from which the two surfaces are made. The rougher the surface, the more friction is produced. Friction also produces heat. "
Newton's first law of motion is known as
a) mass and acceleration
c) electrical force
b) inertia c) action and reaction
d) tension force
d) momentum
a meteor is falling towards the earth. if the mass and radius of the earth are 6×10^24 kg and 6.4×10^6 m respectively, find the height of the meteor where its acceleration due to gravity is 4m/s^2 ?
Answer:
F = G M m / R^ force between m and earth where R >= radius of earth
a = F / m = G M / R^2 acceleration at radius R
am / ae = (Re / Rm)^2 acceleration of meteor to that of earth
am / ar = (4 / 9.8) = (Re / Rm)^2
Rm = (9.8 / 4)^1/2 Re
Rm = 1.56 Re = 1.56 * 6.4E106 m = 10E6
10E6 - 6.4E6 = 3.6E6 m above surface of earth
(You only need mass of earth if you are calculating a at the surface of the earth)
Calculate g = G M / R^2 = 6.67E-11 * 6E24 / 6.4E6)^2 = 9.77 m/s^2
This is close to the value we used - 9.8 m/s^2
ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
If it took .4 s for the tomato to hit Juan’s head, what was the distance between he position where the tomato was released and Juan’s head?
Answer:
vjad zdmenrmdnbeanssshsnaaamrnrnealatkujejdshdendddddjnyejeynarnDhdndndddnN\nnddzNHNdnnkddkddzmdddhmeeenNDN
Answer:....
Explanation:.....
Southern California has been in drought conditions for several years which means it is much drier than normal. In the summer months, the temperature can easily reach 110 degrees Fahrenheit. You are investigating how plants respond to the dry, extremely hot conditions. It is approximately 1 pm when you make your observation. What would you expect to see? And why? To avoid losing too much water, the stomata will be closed. O To prevent photosynthesis from occurring, the stomata will be closed. The stomata will be open to allow the plant to absorb carbon dioxide. O The plant needs water so the stomata must stay open.
In the dry and extremely hot conditions of Southern California during summer, at approximately 1 pm, one would expect to see that the stomata of plants are closed. This is because to avoid excessive water loss through transpiration, plants tend to close their stomata, which are tiny openings on the surface of leaves responsible for gas exchange. Closing the stomata helps to conserve water by reducing the loss of water vapor from the plant's leaves.
Stomata play a crucial role in gas exchange during photosynthesis. However, when plants are exposed to hot and dry conditions, the closure of stomata becomes essential to prevent excessive water loss. By closing their stomata, plants can reduce transpiration and conserve water. Transpiration is the process through which water vapor escapes from the plant through the stomata.
Closing the stomata helps in minimizing water loss by reducing the evaporation of water from the plant's leaves into the surrounding dry air. This is particularly important in drought conditions when water availability is limited. By conserving water, plants can better withstand the dry and hot environment.
While the closure of stomata helps in water conservation, it also has an impact on photosynthesis. When the stomata are closed, the exchange of gases, including carbon dioxide (CO2) for photosynthesis, is restricted. As a result, the rate of photosynthesis decreases. However, in extremely hot and dry conditions, the priority for the plant is to conserve water rather than carry out photosynthesis. Therefore, it is expected that the stomata will be closed to limit water loss, even though this reduces the availability of CO2 for photosynthesis.
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The pattern of bright and dark fringes that appears on a viewing screen after light passes through a single slit is called a(n) _____ pattern.
The pattern of bright and dark fringes that emerges on a viewing screen when light passes through a single slit is known as a diffraction pattern.
When light encounters a single slit, it diffracts or spreads out due to the wave nature of light. This diffraction leads to the formation of a pattern of alternating bright and dark regions on a screen placed after the slit.
The central bright region is called the central maximum, and it is surrounded by a series of alternating bright and dark fringes, known as interference fringes.
The diffraction pattern arises due to the interference of light waves that have been diffracted by different parts of the slit. The waves emerging from different portions of the slit interfere with each other constructively or destructively, resulting in the pattern of bright and dark fringes.
The width of the slit plays a crucial role in determining the characteristics of the diffraction pattern. If the slit width is smaller compared to the wavelength of light, the diffraction pattern will exhibit a broader central maximum and narrower fringes.
Conversely, if the slit width is larger, the central maximum will be narrower, and the fringes will be wider.
The diffraction pattern produced by a single slit is an important phenomenon in physics and has applications in various fields such as optics, spectroscopy, and wave analysis.
By studying the characteristics of the diffraction pattern, scientists and researchers can gain valuable insights into the properties of light and the behavior of waves.
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four cars are designed to be protect passengers in a 16m/s crash. the characteristics of the cars are shown below. which car is most likely to do the best job of protecting passengers inside?
Answer:
car 1
Explanation:
the pressure in a reciprocating air compressor starts at 14.7 psia. the volune of air in the compressor starts at 5 cubic inches at a temp of 530 degrees rankine. if the piston then compresses the gas to a pressure of 100 psia and its temp increases to 640 dregrees rankine whats the final volume of the air
The final volume of the air in the compressor is approximately 7.981 cubic inches.
To determine the final volume of the air in the compressor, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to a constant.
Given:
Initial pressure (P1) = 14.7 psia
Initial volume (V1) = 5 cubic inches
Initial temperature (T1) = 530 degrees Rankine
Final pressure (P2) = 100 psia
Final temperature (T2) = 640 degrees Rankine
Using the ideal gas law equation: P1 * V1 / T1 = P2 * V2 / T2
We can rearrange the equation to solve for the final volume (V2):
V2 = (P1 * V1 * T2) / (P2 * T1)
Substituting the given values into the equation:
V2 = (14.7 psia * 5 cubic inches * 640 degrees Rankine) / (100 psia * 530 degrees Rankine)
Calculating the value:
V2 ≈ 7.981 cubic inches
Therefore, the final volume of the air in the compressor is approximately 7.981 cubic inches.
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What are the products of a fusion reaction? Check all that apply. Lighter atoms energy heavier atoms a neutron a proton.
The process by which two or more tiny nuclei unite to generate a bigger nucleus is known as a nuclear fusion reaction. Heavier atoms are products of a fusion reaction.
What is nuclear fusion?The process by which two or more tiny nuclei unite to generate a bigger nucleus is known as a nuclear fusion reaction.
For example, the fusion of two hydrogen atoms produces more energy than the fusion of one helium atom, and surplus energy is expelled into space upon binding.
Hence heavier atoms are e products of a fusion reaction.
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Answer:
B C D
Explanation:
To float in air, a blimp would be filled with helium (true or false)
QUESTION 8 OF 30
Using equations for KE and GPE, what is the maximum height an object will
reach if it is thrown vertically upwards at 24.0 m/s ? (Answer to 3 sf with unit)
The maximum height an object will reach if it is thrown vertically upwards at 24.0 m/s will be equal to 29.35 meters.
What is kinetic energy?Kinetic energy is the term used in physics to describe the force that a moving item has.
It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except for variations in speed, the body retains the kinetic energy it gains during acceleration.
As per the given information in the question,
The formula of kinetic energy is,
K.E = 1/2 mv² (i)
The formula of gravitational potential energy is,
u = mg (ii)
Equate equations (i) and (ii)
1/2 mv² = mgh
h = 1/2 v²/g
h = 1/2 (24)²/9.81
= 576/19.62
h = 29.35 meters.
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Which of the following is an example of the Doppler effect? A water bug on the surface of a pond is producing small ripples in the water. The bug is not moving. A police car with its siren on is driving towards you, and you perceive the pitch of the siren to increase. Scientists measure the speed of light and find that it is constant. The gravitational pull of two objects on each other
Answer:
A police car with its siren on is driving towards you, and you perceive the pitch of the siren to increase.
Explanation:
In Physics, Doppler effect can be defined as the change in frequency of a wave with respect to an observer in motion and moving relative to the source of the wave.
Simply stated, Doppler effect is the change in wave frequency as a result of the relative motion existing between a wave source and its observer.
The term "Doppler effect" was named after an Austrian mathematician and physicist known as Christian Johann Doppler while studying the starlight in relation to the movement of stars.
The phenomenon of Doppler effects is generally applicable to both sound and light.
An example of the Doppler effect is a police car with its siren on is driving towards you, and you perceive the pitch of the siren to increase. This is so because when a sound object moves towards you, its sound waves frequency increases, thereby causing a higher pitch. However, if the sound object is moving away from the observer, it's sound waves frequency decreases and thus resulting in a lower pitch.
Other fields were the Doppler effects are applied are; astronomy, flow management, vibration measurement, radars, satellite communications etc.
Answer:
A police car with its siren on is driving towards you, and you perceive the pitch of the siren to increase.
Explanation:
This should be the correct answer.
A human runner has an average acceleration of 1.2 m/s/s. They ran for a total of 21 seconds. What is their change in velocity?
Answer: 25.2m/s
Explanation:
as a = vf - vi /t
vf-vi=t*a
vf-vi= 1.2*21
vf-vi= 25.2m/s
Answer:
The change in velocity is 25.2m/s.
Explanation:
Given acceleration is \(1.2m/s^{2}\),
given time is \(21 sec\)
What is velocity?The displacement travelled in one second is called velocity, denoted by (v).
What is acceleration?The rate of change of velocity is called an acceleration, denoted by (a).
Formula used: a=Δv/Δt,
putting values: 1.2=Δv/21,
so change in velocity Δv=25.2m/s.
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The position of a particle along a coordinate axis at time t (in seconds) is given by s(t)=−3t 2
−4t+1 (in meters). Find the function that describes its acceleration at time t. Provide your answer below: a(t)=m/s 2
Answer:
The function that describes the acceleration of the particle at time t is:
a(t) = -6 m/s^2.
Explanation:
To find the function that describes the acceleration of the particle at time t, we need to take the second derivative of the position function s(t).
Given:
s(t) = -3t^2 - 4t + 1
Taking the derivative of s(t) with respect to t will give us the velocity function v(t):
v(t) = d/dt [-3t^2 - 4t + 1]
= -6t - 4
Now, we can take the derivative of v(t) with respect to t to find the acceleration function a(t):
a(t) = d/dt [-6t - 4]
= -6
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Increasing the temperature of object by 20K = C *
A. 20 C
B. 293.15 C
C. -253.15 C
D. None of the above
Answer:
B
Explanation:
What is the weight in newtons of an object that has a mass of (a) 8 kg, (b) 0.04 kg, and (c) 760 mg?
The weight of object with a mass of 8 kg is 78.4 N.
The weight of object with a mass of 0.04 kg is 0.392 N.
The weight of object with a mass of 760 mg is 7.45 N.
What is weight?The weight of an object is the force acting on the object due to gravity.
Weight, W = mg
where;
m is the mass of the objectg is acceleration due to gravity, 9.8 m/s²Weight of object with a mass of 8 kgW = mg
W = 8 kg x 9.8 m/s²
W = 78.4 N
Weight of object with a mass of 0.04 kgW = mg
W = 0.04 kg x 9.8 m/s²
W = 0.392 N
Weight of object with a mass of 760 mgW = mg
W = 0.76 kg x 9.8 m/s²
W = 7.45 N
Thus, the weight of object with a mass of 8 kg is 78.4 N.
The weight of object with a mass of 0.04 kg is 0.392 N.
The weight of object with a mass of 760 mg is 7.45 N.
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Help answer these questions please!
You only have to answer the first one unless it’s already been answered then answer the next one (if you could explain how you did it, it would be much appreciated :))
Answer:
1a: Lead atoms are heavier than aluminum atoms, which means that a given mass of lead contains fewer atoms than the same mass of aluminum. Since the heat required to raise the temperature depends on the number of atoms, it takes less heat to raise the temperature of the lead than the temperature of the aluminum.
If Ari's mass is 50 kg, Bari's mass is 70 kg, and Bari's initial jump height is 4 m.
What is Ari's final vertical jump height?
Ari's final vertical jump height is 5.2 m.
What is Ari's final vertical jump height? Ari's final vertical jump height is calculated from the law of conservation of energy as shown below.
P.E ( of Ari ) = P.E ( of Bari )
m1gh1 = m2gh2
where;
m1 is the mass of Arim2 is the mass of Barih1 is the final height of Airh2 is the initial height of Barih1 = ( m2h2 ) / ( m1 )
h1 = ( 70 x 4 ) / ( 50 )
h1 = 5.6 m
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Complete the missing information for each of the following.
Calculate the energy, height, and velocity at each of the following
points for the 1.5 kg weighted basketball.
(at the top) PE=29.4J KE= h=
(at the halfway point) PE= KE= v= h=
(on the floor) PE= KE= v=
Answer:
3.141592653 im king of NYC
Explanation:
In a heat engine, 2.00 mol of a monoatomic gas are carried through the cycle ABCDA. The segment AB represents an isothermal expansion, the segment BC is an adiabatic expansion, the segment CD is an isobaric compression, and DA is a constant volume process. The pressure and temperature at A are 5.00 atm and 600 K. The volume at B is twice the volume at A. The pressure at D is 1.00 atm.
a) What is the pressure at B?
b) What is the temperature at C?
c) Find the total work done by the gas in one cycle.
(a)The pressure at B is 0.1248 atm.
(b)The temperature at C is 727.1 K.
(c)The total work done by the gas in one cycle is -1979J
General calculation:
We can use the First Law of Thermodynamics to analyze the heat engine cycle:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system. For a complete cycle, ΔU = 0, so:
Q = W
We can also use the ideal gas law to relate the pressure, volume, and temperature of the gas:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the absolute temperature.
(a)How to find the pressure at B segment?
To find the pressure at B, we can use the fact that the segment AB is an isothermal expansion. This means that the temperature remains constant, so:
PV = nRT
PB = (nRT)/(2V) = (2.00 mol)(0.0821 L·atm/mol·K)(600 K)/(2V) = (0.0821 L·atm/mol)(600 K)/V
Since the pressure at A is 5.00 atm, we can use the fact that the temperature is constant to find the volume at A:
PV = nRT
VA = (nRT)/P = (2.00 mol)(0.0821 L·atm/mol·K)(600 K)/5.00 atm = 197.76 L
Since the volume at B is twice the volume at A, we have:
VB = 2VA = 395.52 L
Substituting into the expression for PB, we get:
PB = (0.0821 L·atm/mol)(600 K)/395.52 L = 0.1248 atm
Therefore, the pressure at B is 0.1248 atm.
(b) How to find the temperature at segment C?To find the temperature at C, we can use the fact that the segment BC is an adiabatic expansion. This means that no heat is added or removed from the system, so:
\(PV^\gamma\)= constant
where γ is the ratio of specific heats (for a monoatomic gas, γ = 5/3). We can use the fact that the volume at C is equal to the volume at A to find the pressure at C:
\(PAV^\gamma = PCV^\gamma\)
PC = \(PA(V/A)^\gamma\) = 5.00 atm\((1/2)^(^5^/^3^)\) = 1.556 atm
Since the segment BC is adiabatic, the temperature changes but no heat is added or removed from the system. Using the ideal gas law, we can relate the pressure, volume, and temperature:
PV = nRT
TC = (PCVC)/(nR) = (1.556 atm)(197.76 L)/(2.00 mol)(0.0821 L·atm/mol·K) = 727.1 K
Therefore, the temperature at C is 727.1 K.
(c) How to find the total work done by the gas in one cycle?The total work done by the gas in one cycle is the sum of the work done in each segment of the cycle:
W = WAB + WBC + WCD + WDA
For segment AB, the work done is:
WAB = -QAB = -∫PdV = -nRT∫(1/V)dV = -nRT ln(VB/VA) = -(2.00 mol)(0.0821 L·atm/mol·K)(600 K) ln(2) = -602 J
For segment BC, the work done is:
WBC = -QBC = -∫PdV = -nγRT∫(1/V)dV = -nγRT
We know that VB = 2VA and VC = 2VD, so we can express the ratio VB/VC in terms of VA/VD:
VB/VC = (2VA)/(2VD) = VA/VD
Substituting into the expression for WBC, we get:
WBC = -nγRT ln(VA/VD)
For segment CD, the work done is:
WCD = -QCD + PCDΔV = -nCpΔT + PCDΔV
where Cp is the specific heat at constant pressure, ΔT is the change in temperature, and ΔV is the change in volume. We know that the segment CD is isobaric, so ΔV = VB - VA = (2VA) - VA = VA. We can also use the ideal gas law to relate the pressure, volume, and temperature:
PV = nRTPC = (nRT)/VDSubstituting into the expression for WCD, we get:
WCD = -nCpΔT + (nRT/VD)VA = -nCp(TC - TD) + (nRT/VD)VA
For segment DA, the work done is:
WDA = -QDA + ΔU = -nCvΔT
where Cv is the specific heat at constant volume. We know that the segment DA is isovolumetric, so ΔV = 0. Using the First Law of Thermodynamics, we know that ΔU = 0 for a complete cycle, so:
QDA = -WDA = nCvΔT
Substituting into the expression for WDA, we get:
WDA = -nCvΔT
Adding up the work done in each segment, we get:
W = WAB + WBC + WCD + WDA
= -(2.00 mol)(0.0821 L·atm/mol·K)(600 K) ln(2)- (2.00 mol)(5/3)(0.0821 L·atm/mol·K)(727.1 K) ln(VA/VD)- (2.00 mol)(Cp)(TC - TD) + (2.00 mol)(0.0821 L·atm/mol·K)(600 K) ln(2)- (2.00 mol)(Cv)(TC - TA)
We know that Cp and Cv for a monoatomic gas are related by Cp = Cv + R, so we can express Cp in terms of Cv:
Cp = Cv + R = (3/2)R + R = (5/2)R
Substituting and simplifying, we get:
W = (2.00 mol)(0.0821 L·atm/mol·K)(600 K) ln(2)- (2.00 mol)(5/3)(0.0821 L·atm/mol·K)(727.1 K) ln(VA/VD)- (2.00 mol)(5/2)(0.0821 L·atm/mol·K)(727.1 K)+ (2.00 mol)(5/2)(0.0821 L·atm/mol·K)(600 K)
W = -966.2 J - 4957 J - 7476 J + 5154 J
= -1979 J
Therefore, the total work done by the gas in one cycle is -1979 J
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a mass of 0.678 kg is converted completely into energy of other forms. (a) how much energy of other forms is produced?
6.102×10¹⁶ Joules of energy of other forms are produced when a mass of 0.678 kg is converted completely into the energy of other forms.
Mass-energy equivalence or E = mc² equation is given by Albert Einstein's theory of special relativity which expresses that mass and energy are the same physical entity and they can be changed into each other. Mass-energy equivalence implies that the total mass of a system may change but the total energy and momentum remain constant.
According to Einstein’s equation,
E=mc²
Where :
E = energy
m = mass = 0.678 kg
c = the speed of light in a vacuum = 3 × 10⁸ m/s
Substuting the m and c values in the formula we get:
E = mc²
E = 0.678 kg × ( 3 × 10⁸ m/s)²
= 6.102×10¹⁶ Joules of energy.
Therefore, the energy produced is 6.102×10¹⁶ Joules of energy.
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2. A simple hydraulic lift is made by fitting a piston attached to a handle into a 3.0-cm diameter cylinder. The cylinder is connected to a larger cylinder with a 24-cm diameter. If a 50-kg woman puts all her weight on the handle of the smaller piston, what weight could the other piston lift? Could the woman lift a large car with a weight of 1.6104 N?
Answer:
mparing this value with the weight of the vehicle we see W₂> 1.6 10⁴ N
therefore the woman can lift the car
Explanation:
For this exercise on Pascal's principle, we use that the pressure in every incompressible liquid is the same
P₁ = P₂
the press is defined by
P = F / A
for the woman's side
the area of a circle is
A = π D₁² / 4
P₁ = W (4 /π d₁²)
for the car side
A₂ =π d₂²
P₂ = W₂ (4 /π d₂²)
we substitute in the first equation
W (4 /π d₁²) = W₂ 4 /π d₂²)
W / d₁² = W₂ / D₂²
W₂ = (d₂ / d₁)² W
the weight of the woman is
W = mg
we calculate
W₂ = (24/3)₂ 50 9.8
W₂ = 3,136 10⁴ N
when comparing this value with the weight of the vehicle we see
W₂> 1.6 10⁴ N
therefore the woman can lift the car
a duck is swimming at the center of a circular lake. a fox is waiting at the shore, not able to swim, willing to eat the duck. it may move around the whole lake with a speed four times faster than the duck can swim. as soon as duck reaches the surface, it can fly, but not within the pond. can the duck always reach the shore without being eaten by the fox?
The duck can always reach the shore without being eaten by the fox.
Assume that the duck is swimming in a circular path around the centre of the lake and that the fox is waiting at a fixed point on the shore. Since the fox is four times faster than the duck, it can run along the shore at a constant speed that is also four times the speed of the duck's swimming.
Now, imagine that the duck swims around the lake one full time, starting at the point farthest from the shore where the fox is waiting. The duck will take some amount of time to complete this circuit, during which the fox will also have travelled some distance around the lake.
However, since the duck is swimming in a circular path, it will eventually cross the point on the opposite side of the lake from where it started. At this point, the duck is closer to the shore than the fox is. Furthermore, since the duck can now fly, it can reach the shore before the fox catches up to it.
So, it will eventually reach a point where it is closer to the shore than the fox and can fly the rest of the way to safety. Therefore, the duck can always reach the shore without being eaten by the fox.
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Don't mind this, just figuring something out
Answer:
ok
Explanation:
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a 70 kg skydiver jumps out of an airplane. immediately after jumping, how large is the skydivers acceleration?
The mass of the parachutist doesn't decrease to 0 kg. It is still 70 kilos and always will be. The parachutist's mass is constant at 70 kg regardless of where they are on Earth, in free fall, or in outer space. Mass remains constant.
You might be considering how the parachutist loses all sense of weight while falling. That's accurate. When they fall freely to the Earth, their weight will be nil (or any other body).
The problem is that mass and weight are two different concepts. Your scales here on Earth confuse you by displaying kilograms (kg). They are actually gauging your weight, which is expressed in Newtons and is, in essence, the downward force your mass experiences as a result of the Earth's gravity.
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A) we fully submerge a regular (uniform density) 3 kg lump of material in a certain fluid. the fluid that would have been in the space now occupied by the lump has a mass of 3 kg. i. when we release the lump, does it move upward, move downward, or remain in place? ii. if we next fully submerge the lump in a more dense fluid and again release it, what does it do?
i. When the regular 3 kg lump of material is fully submerged in a fluid, and the fluid that previously occupied the lump's space has a mass of 3 kg, the lump will remain in place when released.
ii. If the lump is subsequently fully submerged in a more dense fluid and released, it will move upward.
i. When the lump is submerged in the fluid, the buoyant force acting on the lump is equal to the weight of the fluid displaced by the lump. In this case, since the mass of the fluid displaced (3 kg) is equal to the mass of the lump itself (3 kg), the buoyant force will be equal to the weight of the lump. As a result, when released, the lump will experience a net force of zero and will remain in place.
ii. If the lump is then fully submerged in a more dense fluid, the fluid that displaces the lump will have a greater mass than the lump. As a result, the buoyant force will exceed the weight of the lump. When released, the lump will experience a net upward force (the difference between the buoyant force and the weight of the lump) and will move upward.
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Details The force on a particle is described by 10x³ - 5 at a point x along the x-axis. Find the work done in moving the particle from the origin to x = 2.
Answer:
To find the work done in moving the particle from the origin to x = 2, we need to integrate the force over the given interval.
The work done (W) is calculated by integrating the force function with respect to displacement (dx) from the initial position (0) to the final position (2):
W = ∫(0 to 2) (10x³ - 5) dx
Integrating the force function, we get:
W = ∫(0 to 2) (10x³ - 5) dx = [2.5x⁴ - 5x] evaluated from 0 to 2
Now, substituting the upper limit (2) and lower limit (0) into the equation:
W = [2.5(2)⁴ - 5(2)] - [2.5(0)⁴ - 5(0)]
= [2.5(16) - 10] - [0 - 0]
= 40 - 10
= 30
Therefore, the work done in moving the particle from the origin to x = 2 is 30 units of work.
Explanation:
The info below shows three kettles with their powers and the time they take to boil 500cm3 of water. If electricity costs 9p per unit, how much does it cost to boil 500cm3 of water using the 3kW kettle?
Kettle 1= 3mins =3kW
Kettle 2= 3.5mins= 2.2kW
Kettle 3=4.5mins=1.4kW
Any help would be appreciated!
The cost of boiling 500cm3 of water using the 3kW kettle is 1.35 P.
Cost of electricity for 3 kW kettle
The cost is calculated as follows;
1 unit = 9p /kWh
Total energy consumed by 3 kW kettle, E = P x t
where;
P is power (kW)t is time in (hr)E = 3 kW x (3 mins/60 mins/hr)
E = 0.15 kWh
Energy cost = 9 p/kWh x 0.15 kWh = 1.35 P
Thus, the cost of boiling 500cm3 of water using the 3kW kettle is 1.35 P.
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