To confirm the missing mass dissolved in the aqueous layer, you can perform a process called evaporation followed by weighing the residue.
In this method, you would first collect the aqueous layer containing the dissolved substance.
Then, evaporate the water from the solution using an evaporating dish and a heat source.
Once all the water has evaporated, the dissolved substance will be left behind as a solid residue.
Weigh this residue using a precision balance to determine the missing mass.
Summary: By evaporating the water from the aqueous layer and weighing the remaining solid residue, you can confirm the missing mass that was dissolved in the aqueous layer.
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Based on Newton's law of action-reaction, which arrow represents the force that the seat belt would exert on the man's body if he had to slam on the brakes?
Answer:
c. Y
Explanation:
Newton's third law of motion states that action and reaction are equal and opposite. Hence for every action, there is an equal and opposite reaction.
Considering the system of forces shown in the image, W and Y are opposite forces. When the driver slams on the brakes, he will be pushed forward towards the windscreen. The force Y exerted by the seat belt keeps him on the drivers seat by moving him backwards towards the seat.
Show FORMULA AND SOLUTION:
What acceleration will result when a 12N net force applied to a 3kg object? A 6kg object?
Answer:
2m/s²
Explanation:
F = 12 N
m = 3kg
a = ?
F = ma
a = F/m = 12/3 = 4 m/s²
when m = 6kg
a = F/m = 12/6
a = 2 m/s²
What moon phase would happen immediately before the shown phase?
Waning Crescent
Waxing Gibbous
Full Moon
New Moon
Answer:
waning crescent
Explanation:
Waxing Crescent - Rises before noon, transits meridian before sunset, sets before midnight
Answer:
new moon
Explanation:
yea im sure
can i get the brainliest? or not ok T-T im always alone i know and nobody doesnt like me so yes u are right im always alone for forever
and nobody doesnt wanna chat with me ok i got it bcoz thats all my bad im a bad person :(
016 (part 1 of 2) 10.0 points
A beaker of mass 1.3 kg containing 2.5 kg of
water rests on a scale. A 3.4 kg block of a
metallic alloy of density 3700 kg/m³ is sus-
pended from a spring scale and is submerged
in the water of density 1000 kg/m³ as shown
in the figure.
3.4 kg
What does the hanging scale read? The
acceleration of gravity is 9.8 m/s².
Answer in units of N.
017 (part 2 of 2) 10.0 points
What does the lower scale read?
Answer in units of N.
Answer: 0.85 N
Explanation: We can solve this problem using the principles of buoyancy and Newton's laws.
First, we need to find the buoyant force acting on the metallic alloy block. The buoyant force is equal to the weight of the water displaced by the block, which can be calculated using the block's volume and the density of water:
V = m_block / ρ_block = 3.4 kg / 3700 kg/m³ = 0.0009189 m³
F_buoyant = ρ_water x g x V = 1000 kg/m³ x 9.8 m/s² x 0.0009189 m³ = 8.96 N
So the buoyant force acting on the metallic alloy block is 8.96 N.
Next, we can calculate the tension force in the spring scale attached to the block. Since the block is in static equilibrium, the tension force must be equal in magnitude and opposite in direction to the weight of the block plus the buoyant force:
Tension force = weight of block + buoyant force
Tension force = m_block x g + F_buoyant
Tension force = 3.4 kg x 9.8 m/s² + 8.96 N = 42.04 N
So the hanging scale reads 42.04 N.
Finally, we can find the reading of the lower scale. The lower scale measures the weight of the beaker and the water in it, minus the buoyant force acting on the beaker. The weight of the beaker and the water is:
weight of beaker + weight of water = m_beaker x g + m_water x g
weight of beaker + weight of water = 1.3 kg x 9.8 m/s² + 2.5 kg x 9.8 m/s² = 35.35 N
The buoyant force acting on the beaker can be calculated using the volume of water displaced by the beaker:
V = m_water / ρ_water = 2.5 kg / 1000 kg/m³ = 0.0025 m³
F_buoyant = ρ_water x g x V = 1000 kg/m³ x 9.8 m/s² x 0.0025 m³ = 24.5 N
So the reading of the lower scale is:
Reading of lower scale = weight of beaker + weight of water - buoyant force
Reading of lower scale = 35.35 N - 24.5 N = 10.85 N
Therefore, the lower scale reads 10.85 N.
How much work can be done by a 20 W motor in 5 seconds?
A train travels for 120 seconds (s) at a speed of 50 meter per second (m/s). What was the distance (m) that it travelled?
Answer:
2
Explanation:
50 times 2
A family is driving from Vancouver to Calgary, a distance of 907.3 km. During the first 300 km, they average 92 km/h. They stop for lunch for 38 min. They arrive in Calgary 8 h and 21 min after their lunch break.. What was their average speed (in km/h) for the entire journey, including the break?
Answer:
89 i would say
Explanation:
Scientists have made predictions about the universe today based on the big bang theory. Observations that match these predictions support the big bang theory. Which of the following observations have scientists made that provides evidence of the big bang?
A. Light from the moment of the big bang has been observed.
B. The percentages of hydrogen and helium match the predicted percentages.
C. Galaxies are moving toward each other as predicted by the big bang theory.
D. Many galaxies that are similar to the Milky Way have been observed.
Answer:
the answer is b
Explanation:
Answer:
b
Explanation:
I just did it on a p e x
Which best explains how gravity contributes to the formation of layers in protoplanets?.
The following statement best describes how gravity helps protoplanets create layers in that gravity pulls materials and generates compaction, which produces heat and causes materials to melt, sink, and rise. Option A is correct.
What is gravity?Gravitation is a natural law by which all things with all matter are attracted towards one another. gravity causes weight to all matter and the gravity of the moon causes the ocean tides.
The force that draws massed bodies toward one another is known as gravity. Gravitatithus
According to the alternatives, gravity pulls things together and causes compaction, which generates heat and causes things to melt,
Thus, we may draw the conclusion that gravity draws materials and creates compaction, which generates heat and causes materials to melt, sink, and rise.
Hence option A is correct,
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Answer:
its A
Explanation:
you are on a planet that has a free fall acceleration of 10.8 m/s?. use the maximum height formula to determine the angle a projectile must be launched at to 4.630 m if the launch speed is 20 m/s. your answer should be an integer so round your calculation appropriately.
The projectile must be launched at an angle of 14 degrees to reach a maximum height of 4.630 m with a launch speed of 20 m/s on a planet with a free fall acceleration of 10.8 m/s².
To solve this problem, we can use the maximum height formula for a projectile,
h = (v^2 * sin^2(a)) / (2 * g)
where h is the maximum height, v is the launch speed, a is the launch angle, and g is the acceleration due to gravity.
Plugging in the given values,
4.630 = (20^2 * sin^2(a)) / (2 * 10.8)
Simplifying and solving for sin^2(a),
sin^2(a) = (4.630 * 2 * 10.8) / 400
sin^2(a) = 0.05649
Taking the square root of both sides,
sin(a) = 0.2376
To find the launch angle, we need to take the inverse sine of this value,
a = sin^-1(0.2376)
a = 13.661°
Rounding this to the nearest integer,
a = 14
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What is the change in gravitational potential energy of a 45 kg weight that is moved from 2 m to 18 m on earth? What is it on the moon (g = 1.6 m/s2)?
Answer:
to find the weight, use the following formula
F= m x g
in Earth---> 45 x 9.8= 441 N
in Moon---> 45 x 1.6= 72 N
Explanation:
I HOPE THIS HELPS!!! :)
The change in gravitational potential energy of a 45 kg weight that is moved from 2 m to 18 m on Earth and Moon are 7.056kJ and 1.152kJ respectively.
What is Gravitational Potential energy?
Gravitational potential energy is defined as the energy possessed by or acquired by an object due to a change in its position when it is present in a gravitational field. This can be said that gravitational potential energy is the energy which is related to the gravitational force or gravitation.
Gravitational potential energy is expressed as
U=m g h
Where, U = gravitational potential energy
m = mass
g = gravitational field
h = height
For above given example,
The change in gravitational potential energy for Earth
mass= 45kg
Difference in height \((H_2-H_1)\)= 18-2= 16m
g= \(9.8m/s^2\)
U= 45*16*9.8 = 7056J or 7.056kJ
The change in gravitational potential energy for Moon
mass= 45kg
Difference in height \((H_2-H_1)\)= 18-2= 16m
g= \(1.6m/s^2\)
U= 45*16* 1.6= 1152J or 1.152kJ
Thus, the change in gravitational potential energy of a 45 kg weight that is moved from 2 m to 18 m on Earth and Moon are 7.056kJ and 1.152kJ respectively.
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This is a map that shows hot spots around the world. Which phrase describes the formation of the hawaiian islands?formed due to subductionformed in the middle of a plateformed at a divergent boundaryformed at a convergent boundary.
Where the mantle bursts through the crust, a plate is formed in the midst of it.
How did the Hawaiian Islands develop?A famous example of a sizable seamount and island chain produced by hot-spot volcanism is the Hawaiian Emperor seamount chain. With a northwesterly direction, the chain's islands or submerged seamounts get older and older.
The Pacific plate, which is migrating north-west, is where the Hawaiian Islands are located. Volcanoes formed there.
The fragile and brittle asthenosphere is covered by lithosphere plates. This also applies to the Pacific plate. If access is provided via faulting or other geological conduits, the weak asthenosphere may erupt on the surface. Hotpots form on the crust as a result of these mantle magmas rising to the surface.
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Question 6 2 pts Over one year, estimate the average daily energy one person uses in in one round-trip from Phoenix to London to Phoenix (in Joule/person/day).
The estimated average daily energy use per person for one round-trip from Phoenix to London to Phoenix is approximately 3.044 x 10¹⁰ Joules/person/day.
Assuming the round-trip from Phoenix to London to Phoenix takes 1 week and the flight time is approximately 10 hours each way, we can estimate the total energy consumption as follows:
1. According to the International Energy Agency, the average energy consumption of a long-haul flight is approximately 0.18 kWh per passenger kilometer.
2. The distance between Phoenix and London is approximately 8570 km, so the round-trip distance is approximately 17,140 km.
3. Therefore, the total energy consumption per person for the round-trip is approximately 0.18 kWh/passenger-km x 17,140 km = 3,085.2 kWh/person.
4. To convert this to Joules, we multiply by 3.6 x 10^6 (the number of Joules in 1 kWh):
3,085.2 kWh/person x 3.6 x 10⁶ J/kWh
= 1.1107 x 10¹³ Joules/person.
5. Dividing by 365 (the number of days in a year), we get an average daily energy use of approximately 3.044 x 10¹⁰ Joules/person/day.
Therefore, the estimated average daily energy use per person for one round-trip from Phoenix to London to Phoenix is approximately 3.044 x 10¹⁰ Joules/person/day.
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A typhoon weather center intern looks at a historical wind speed chart. She calculated a sample standard deviation of 5.0 kph from 100 wind charts. How many wind data must she sampled to obtain a 99% confidence interval of with + 1.0 kph. Round your answer to nearest whole number.
In the context of statistical significance, confidence intervals are used to estimate population parameters. To calculate the number of wind data she must sample to obtain a 99% confidence interval with + 1.0 kph, we can use the following formula.
N = (Zσ/E)²Where:N = The sample sizeZ = The z-score that corresponds to the desired level of confidenceσ = The standard deviationE = The margin of errorThe z-score that corresponds to the 99% confidence level is 2.576 (using a standard normal distribution table or calculator).Therefore, using the formula, the sample size that needs to be taken is:N = (Zσ/E)²N = (2.576 × 5.0 / 1.0)²N = 663.49The answer to the question, rounded to the nearest whole number, is 663. Therefore, she must sample 663 wind data to obtain a 99% confidence interval with + 1.0 kph.
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An airplane flies 450 meters in 3 seconds. What is its speed in m/s?
The mass of the object is 95kg. What is the coefficient of kinetic frictions
The coefficient of kinetic friction is approximately 0.102.
What is the coefficient of kinetic frictions?
The coefficient of kinetic friction is calculated by using the following formula;
frictional force = coefficient of kinetic friction x normal force
Since the object is not accelerating, we know that the force of gravity pulling down on the object is equal and opposite to the normal force pushing up on the object. Therefore, we can use the formula:
normal force = weight of the object = mass x gravity
where;
the acceleration due to gravity is approximately 9.8 m/s^2.So, the normal force on the object is:
normal force = 95 kg x 9.8 m/s^2 = 931 N
Now we can substitute the values we have into the formula for coefficient of kinetic friction:
95 N = coefficient of kinetic friction x 931 N
Solving for the coefficient of kinetic friction, we get:
coefficient of kinetic friction = 95 N / 931 N ≈ 0.102
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The complete question is below:
The mass of the object is 95kg. What is the coefficient of kinetic frictions, if the frictional force is 95N.
If you stood on Mars and lifted a 15kg pack,you would be pulling with a force greater than...
Answer: See answers below.
Explanation: In this problem, we must be clear about the concept of weight. Weight is defined as the product of mass by gravitational acceleration.
We must be clear that the mass is always preserved, that is, the mass of 15 [kg] will always be the same regardless of the planet where they are.
where:
W = weight [N] (units of Newtons)
m = mass = 15 [kg]
g = gravity acceleration [m/s²]
Since we have 9 places with different gravitational acceleration, then we calculate the weight in each of these nine places.
Mercury
Venus
Moon
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto
In this problem, we must be clear about the concept of weight. Weight is defined as the product of mass by gravitational acceleration.
We must be clear that the mass is always preserved, that is, the mass of 15 [kg] will always be the same regardless of the planet where they are.
where:
W = weight [N] (units of Newtons)
m = mass = 15 [kg]
g = gravity acceleration [m/s²]
Since we have 9 places with different gravitational acceleration, then we calculate the weight in each of these nine places.
Mercury
Venus
Moon
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto
the value of the total radiant energy flux density at the earth from the sun normal to the incident rays is called the solar constant of the earth. the observed value integrated over all emission wavelengths and referred to the mean earth-sun distance is:
The observed value of the total radiant energy flux density at the earth from the sun, integrated over all emission wavelengths and referred to the mean earth-sun distance, is approximately 1,366 watts per square meter.
This value is known as the solar constant and is an important factor in understanding the earth's climate and energy balance. It represents the amount of solar energy that is received per unit area at the top of the earth's atmosphere and is a key input for models of global climate change.
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is water a pollutant?
Please help
A vertical piston-cylinder device initially contains 0.1 m^3 of air at 400 K and 100 kPa. At this initial condition, the piston is resting on a stop. The piston-cylinder device is connected to a supply line with air at 400 K and a pressure of 500 kPa. The valve between the supply line and the piston-cylinder device is opened and is left open until the pressure in the piston-cylinder device reaches 500 kPa. The piston is observed to start moving when the pressure in the cylinder is 200 kPa and the piston continues to rise until it reaches a second stop. At the second stop, the piston-cylinder volume is 0.2 m^3 . The final temperature and pressure in the piston-cylinder device are 440 K and 500 kPa, respectively. Determine the heat transfer to or from the piston-cylinder device for the filling process Determine heat transfer (kJ) during the entire process.
Answer:
\(Q=-38.15kJ\)
Explanation:
From the question we are told that
Piston-cylinder initial Volume of air \(v_1=0.1 m^3\)
Piston-cylinder initial temperature \(T_1=400k\)
Piston-cylinder initial pressure \(P_1= 100kpa\)
Supply line temperature\(T_s=400k\)
Supply line pressure \(P_s= 500kpa\)
Valve final pressure \(P_v=500kpa\)
Piston movement pressure \(P_m=200kpa\)
Piston-cylinder final Volume of air\(v_2=0.2 m^3\)
Piston-cylinder final temperature \(T_2=440k\)
Piston-cylinder final pressure \(P_2= 500kpa\)
Generally the equation for conservation of mass is mathematically given by
\(Q=m_2 \mu_2-m_1 \mu_1 +W-(m_2-m_1)h\)
where
Initial moment
\(m_1=\frac{p_1 V_1}{RT_1}\)
\(m_1=\frac{100*0.1}{0.287*400}\)
\(m_1=8.7*10^-^2kg\)
Final moment
\(m_2=\frac{p_2 V_2}{RT_2}\)
\(m_1=\frac{500*0.3}{0.287*440}\)
\(m_1=79*10^{-2}kg\)
Work done by Piston movement pressure
\(W=Pd\)
\(W=P(v_2-v_1)\)
\(W=200(0.2-0.1))\)
\(W=20000J\)
Heat function
\(h=cT_1\)
\(h=1.005(400)\)
\(h=402\)
Therefore
\(Q=(0.792*0.718(440)-0.0871*0.718(400)+20-(0.792-0.087)*402))\)
\(Q=-38.15kJ\)
It is given mathematically that the system lost or dissipated Heat of
\(Q=-38.15kJ\)
A child, m = 25. 0 kg, swings from a rope, l = 9. 43 m, which hangs above water, d = 1. 9 m, when vertical. The child is h = 4. 8 m above the water when she begins to swing.
The velocity at the bottom of the swing is \(\mathbf{v= \sqrt{2gh -2gd}}\). The time it took the child to reach the river is 0.62 seconds.
The objective of this question is to determine:
The expression for the velocity of the child at the bottom of the swing.Suppose the child lets go at the bottom of the swing, how long does she take to reach the river at t seconds.At the bottom of the swing, there is an equal change in both the Kinetic energy as well as the potential energy and the expression can be computed as:
\(\mathbf{\dfrac{1}{2}mv^2 = mg (h -d)}\)
\(\mathbf{\dfrac{v^2}{2}= g (h -d)}\)
\(\mathbf{v^2= 2gh -2gd}\)
\(\mathbf{v= \sqrt{2gh -2gd}}\)
According to the second equation of motion;
\(\mathbf{S = ut +\dfrac{1}{2}at^2}\)
where;
distance s = d = 1.9 macceleration due to gravity = 9.8 m/s²initial velocity (u) = 0∴
\(\mathbf{1.9 = 0(t) +\dfrac{1}{2}(9.8) t^2}\)
\(\mathbf{1.9 = \dfrac{1}{2}(9.8) t^2}\)
\(\mathbf{t^2 =\dfrac{1.9\times 2}{9.8} }}\)
\(\mathbf{t = \sqrt{\dfrac{1.9\times2}{9.8}}}\)
\(\mathbf{t =0.62 \ s}\)
Therefore, we can conclude that the velocity at the bottom of the swing is \(\mathbf{v= \sqrt{2gh -2gd}}\). The time it took the child to reach the river is 0.62 seconds.
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How do you know if forces are unbalanced? Balanced?
Unbalanced:
Balanced:
Whenever an object's motion varies, the pressures are out of equilibrium. Forces are balanced when they are conducted in the opposite direction and are of equal size.
What would you say is a force?Physics defines force as: The pushing and pulling that alters the velocity of a massed object. A agent with both the capacity to alter a bodies natural resting and moving condition is called as an external force. It has both a magnitude and a direction.
What causes balancing force?Force symmetry Balanced forces are those that have opposing directions and equal sizes. One definition of equilibrium is a state of balance forces. When the forces are in balance, there is really no need to alter your strategy.
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What is the relationship between PE and KE in a system?
Answer: The connection between the two is that potential energy transforms into kinetic energy.
Explanation:
The engine of the car develops a driving force of 4000N. Air resistance also acts on the car, with a force of R. If the car has a mass of 1000kg, and is accelerating at 1.5m/s^2, calculate the magnitude of R.
Answer:
R = -2500N
Explanation:
Use formula ΣF = Ma. We can split the Net Force into two parts: Fe - Ff = Ma.
Fe is the force developed by the engine: 4000N
Ff (R) is the air resistance projected on the vehicle. This is the value we're looking for.
Mass: 1000kg
Acceleration: 1.5m/s^2
Next, just plug in the values and solve.
▪4000N - Ff = (1000kg)(1.5m/s^2)
▪Ff = 1500N - 4000N
▪Ff = -2500N
R = -2500N.
The air resistance acting on the car is R = -2500N.
A student launches a small rocket which starts from rest at ground level. At a height of h = 1.35 km the rocket reaches a speed of vf = 288 m/s. At that height the rocket runs out of fuel, so there is no longer any thrust propelling it. Take the positive direction to be upward in this problem.
33% Part (a) Assuming constant acceleration, what is the rocket’s acceleration, in meters per second squared, during the period from its launch until it runs out of fuel?
33% Part (b) After the rocket's engine turns off at a height of h = 1.35 km, it continues to move upward due to the velocity that it reached. What is the rocket's acceleration, in meters per second squared, during the period from engine shutoff until it returns to the ground? Ignore air resistance.
33% Part (c) Calculate the maximum height, in meters above ground level, that the rocket reaches.
Part (a) The rocket's acceleration during the period from its launch until it runs out of fuel is approximately 35.15 m/s^2.
Part (b) After the rocket's engine turns off at a height of 1.35 km, the rocket's acceleration during the period from engine shutoff until it returns to the ground is approximately -9.8 m/s^2 (negative due to the downward direction).
Part (c) The maximum height that the rocket reaches is approximately 2.78 km above ground level.
Part (a):
We can use the kinematic equation to calculate the rocket's acceleration during the period from its launch until it runs out of fuel. The equation relates the final velocity (vf), initial velocity (vi), acceleration (a), and displacement (d):
vf^2 = vi^2 + 2ad
At launch, the rocket starts from rest (vi = 0), and the displacement (d) is the height reached (h = 1.35 km = 1350 m). Substituting these values and the final velocity (vf = 288 m/s) into the equation, we can solve for acceleration (a):
288^2 = 0^2 + 2a(1350)
a ≈ 35.15 m/s^2
Therefore, the rocket's acceleration during the period from its launch until it runs out of fuel is approximately 35.15 m/s^2.
Part (b):
After the rocket's engine turns off, the only force acting on it is gravity, which accelerates it downward. The acceleration due to gravity is approximately -9.8 m/s^2.
Since the rocket is moving upward, the acceleration due to gravity will act in the opposite direction. Therefore, the rocket's acceleration during the period from engine shutoff until it returns to the ground is approximately -9.8 m/s^2.
Part (c):
To calculate the maximum height reached by the rocket, we can use the kinematic equation that relates initial velocity (vi), final velocity (vf), acceleration (a), and displacement (d):
vf^2 = vi^2 + 2ad
At the maximum height, the final velocity is zero (vf = 0), and the initial velocity is the velocity reached when the engine turns off (vi = 288 m/s). The acceleration is the acceleration due to gravity (-9.8 m/s^2). Solving for displacement (d), which represents the maximum height, we have:
0^2 = (288)^2 + 2(-9.8)d
d ≈ 2778.6 m
Therefore, the maximum height reached by the rocket is approximately 2.78 km above ground level.
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give reason
2- The wheel barrow is a liver.
Answer:
In a wheelbarrow, the load is in the middle. The fulcrum is at the end where the wheels touch the ground. The effort is applied at the other end where we hold the wheelbarrow. So, it is classified as a class 2 lever.
Explanation:
Btw, you spelled liver, not lever. Anyway, hope this helped you! The answer is underlined.
1) A rock of mass 1.50kg is released from rest at a height of 30m. Ignore air resistance and
calculate;
(a) its speed half way down
(b) its speed on reaching the ground
The speed of the rock halfway down 17.3 m/s (b) 19.4 m/s
What is the difference between accuracy and precision in measurement?To solve this problem, we can use the principles of conservation of energy to find the speed of the rock at different points during its fall.
First, we can calculate the potential energy of the rock when it is at the top of its fall:
PE = mgh = 1.50 kg ˣ 9.81 \(m/s^2\) ˣ 30 m = 441.45 J
Since there is no air resistance, this potential energy will be converted entirely into kinetic energy as the rock falls.
At the halfway point (15 m), the potential energy of the rock will have been converted into kinetic energy, so we can set these two values equal to each other and solve for the speed:PE = KE
mgh = (1/2)\(mv^2\)
v = sqrt(2gh) = sqrt(2 ˣ 9.81 \(m/s^2\) ˣ 15 m) = 17.15 m/s
Therefore, the speed of the rock halfway down is 17.15 m/s.
When the rock reaches the ground, all of its potential energy will have been converted into kinetic energy.so we can again set these two values equal to each other and solve for the speed:
PE = KE
mgh = (1/2)\(mv^2\)
v = sqrt(2gh) = sqrt(2 ˣ 9.81 \(m/s^2\) ˣ 30 m) = 19.42 m/s
Therefore, the speed of the rock when it reaches the ground is 19.42 m/s.
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John has a utility function of the following: UL, C) = L ^BC ^(1-ẞ), where L is leisure and C is consumption. If he works, he receives a real wage w. Outside of the labor market, he has nonlabor market income V. And his endowment of time T is normalized to 1. And the price of goods p is also normalized to 1.
(a) Please write down his budget constraint.
(b) Assuming ẞ = 1/2, V = 100, w = 200, what is his optimal supply of labor?
(c) How much total income does he have?
(d) How much consumption will he make?
(e) Now, consider the case where John is subject to a 10% income tax on labor income only. What is his new optimal supply of labor?
(a) The budget constraint can be written as: C = wL + V, where C is consumption, w is the real wage, L is leisure, and V is non-labor market income.
(b) With ẞ = 1/2, V = 100, and w = 200, John's optimal supply of labor cannot be determined without information about his preferences for leisure and consumption. The utility function only represents his preferences, but we need additional information to determine the specific amount of labor he would choose to supply.
(c) John's total income is the sum of his labor income and non-labor market income: Total income = Labor income + Non-labor income = wL + V. Without knowing the specific value of L, we cannot calculate the total income.
(d) Similarly, without knowing John's preferences for leisure and consumption, we cannot determine the specific level of consumption he would choose.
(e) In the case where John is subject to a 10% income tax on labor income only, his new optimal supply of labor would depend on the tax rate's impact on his preferences and the trade-off between leisure and consumption. Without further information on his preferences and the specific tax structure, we cannot determine the new optimal supply of labor.
Additional information about John's preferences for leisure and consumption, as well as the specific tax structure, is necessary to calculate his optimal labor supply, total income, consumption, and the impact of the income tax on his labor supply.
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The branch of physics and technology concerned with the design of circuits using transistors and microchips, and with the behavior and movement of electrons in a semiconductor, conductor, vacuum, or gas.
The branch of physics and technology concerned with the design of circuits using transistors and microchips, and with the behavior and movement of electrons in a semiconductor, conductor, vacuum, or gas is known as electronics.
In electronics, the essential elements of the circuit include transistors, diodes, capacitors, and resistors. Furthermore, microchips are made of semiconducting materials, including silicon, germanium, and gallium arsenide, that are designed with the ability to control the flow of electrons. Circuits have a wide range of applications, including telecommunications, information processing, and control systems. Electronics has made our lives easier and more comfortable by providing us with a wide range of devices such as smartphones, computers, televisions, and other digital products.
Electrons in these devices are manipulated by microchips and transistors to perform specific functions, including communication, calculation, and display.The development of electronics has revolutionized the way we live, work, and interact with the world around us. The miniaturization of circuits has led to the creation of smaller and more portable devices, making electronics more accessible and affordable for people around the world. Overall, electronics has transformed our world and will continue to shape our future.
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1. The hydrogen balloons which are used to collect weather information from the atmosphere is made of plastic and never completely filled. Thus the pressure inside and outside are same. The balloon is filled with 150 litres of hydrogen, the air temperature is 27°C and the atmospheric pressure is 98 kPa. The balloon rises to a height where it radios back that the pressure is 30kPa and the temperature is - 33°C. i. What is the Kelvin temperature equivalent to 27°C and -33°C? (1 mark) ii. What is the volume of hydrogen at this height? (2 marks)
Answer:
Answer:- Volume of the balloon is 5.78 L.
Solution:- There are 0.24 moles of hydrogen gas in a balloon at 35 degree C and 1.05 atm pressure. It asks to calculate the volume of the balloon.
This problem is based on ideal gas law equation:
P = 1.05 atm, n = 0.24 mole, T = 35 + 273 = 308 K
R =
V = ?
The equation could be rearranged for the volume as:
Let's plug in the values and do the calculations to get the volume of the balloon:
V = 5.78 L
So, the volume of the gas balloon is 5.78 L.