Answer:
a) To solve for the speed of the car, we can use the conservation of energy equation:
(1/2)mv^2 = mgh - (1/2)kx^2
where m is the mass of the car, v is the speed of the car, g is the acceleration due to gravity, h is the height of the car above the starting point, k is the spring constant, and x is the distance the spring is compressed.
Plugging in the given values, we get:
(1/2)(0.250 kg)v^2 = (0.250 kg)(9.81 m/s^2)(0.110 m) - (1/2)(450.0 N/m)(0.0600 m)^2
Solving for v, we get:
v = 1.23 m/s
Therefore, the speed of the car when it reaches 0.110 m above the starting point is 1.23 m/s.
b) To estimate the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s, we can use the work-energy theorem:
W = ΔE = mgh
where W is the work done, m is the mass of the toy, g is the acceleration due to gravity, h is the height the toy is raised, and ΔE is the change in energy.
Plugging in the given values, we get:
W = (0.25 kg)(9.81 m/s^2)(0.75 m) = 1.84 J
Next, we can use the definition of power:
P = W/t
where P is power, W is work, and t is time.
Plugging in the given values, we get:
P = 1.84 J / 2.0 s = 0.92 W
Finally, we can convert watts to horsepower:
1 hp = 746 W
0.92 W = 0.92 / 746 hp = 0.0012 hp
Therefore, the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s is approximately 0.0012 hp.
A traditional (historical) windmill with the radius of its sails of 15 [m] subject to wind of 7 m/s pumps 3.4 [m³/s] of water over a height of 2.1 [m]. Estimate the actual efficiency of the windmill in [%]. Assume the Betz limit for wind power with Uout=Uin/3 (a=1/3), the air density of 1.225 kg/m³, and the water density of 1000 kg/m³.
O a. 70
O b. 40
O c. 50
Od. 80
O e. 60
According to the question the efficiency of the windmill is 60%.
What is efficiency?Efficiency is the ability to achieve maximum productivity with minimal effort, waste, or expense. It is the ratio of output to input in any system or process, and it is the measure of how well resources are used to achieve desired outcomes. Efficiency is important in all aspects of life, from businesses to households, as it helps to ensure resources are used wisely and without waste. Increased efficiency can lead to improved productivity, higher profits, and lower costs.
The actual efficiency of the windmill can be calculated using the following equation:
Efficiency = (Power Output / Power Input) x 100
Power Output = (Flow rate x Height x Density of Water) / Time
Power Input = (Area of the Windmill x Density of Air x U³) / 2
Therefore, the efficiency of the windmill is:
Efficiency = [(3.4 m³/s x 2.1 m x 1000 kg/m³) / 1] / [(π x 152 m² x 1.225 kg/m³ x 7 m/s³) / 2] x 100
Efficiency = 60%.
Therefore, the correct option is E
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Sources of error could have come from friction that may result in energy losses during the collision, The gliders may not be perfectly elastic, which means that some energy may be lost during the collision
are these errors random or systematic errors?
Sources of error could have come from small amounts of friction, and glider 2 could have not been totally at rest. These errors are systematic errors.
Are these errors random or systematic?
Answer:
The first set of errors, which include friction and imperfect elasticity, are systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will be present in every trial of the experiment and will cause a consistent deviation from the true value.
The second set of errors, which include small amounts of friction and the initial velocity of glider 2, are also systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will also be present in every trial of the experiment and will cause a consistent deviation from the true value.
Explanation:
math
Determine if the function below is continuous.
graph of a piecewise function, with 2 pieces. The first piece is a line that starts at negative infinity and goes through point (-4,5) and ends with an open dot at (1,0). The second piece is a line that starts with a closed dot at (1,-1), goes through point (2,1) and continues to infinity.
A. not continuous at x = 1
B. not continuous at x = 0
C. not continuous at x = -1
D. continuous
The function is not continuous at x=1, so the answer is A.
At x=1, the two pieces of the function meet. The first piece ends with an open dot at (1,0), meaning that the function is not defined at $x=1$. The second piece starts with a closed dot at (1,-1), meaning that the function is defined at x=1 and takes the value -1 there.
Since the function is not defined at x=1, it cannot be continuous at that point. Therefore, the function is not continuous overall.
what is the statement of objectives in newton's second law using word to investigate, to plot,to compare, to measure
by changing the force and observing the impact on an object's acceleration, one can examine the link between force and acceleration.
What aims does Newton's second law of motion have?In conclusion, Newton's second law gives an explanation for how objects whose forces are out of balance behave. According to the law, when there are imbalanced forces acting on an item, the object will accelerate with an acceleration that is inversely proportional to the mass and directly proportional to the net force.
What is Newton's law supposed to achieve?The student should be able to relate the magnitudes of the various forces acting on an object to its state of motion, particularly the direction of acceleration. The pupil ought to be able to connect the net force.
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Increasing the number of loops in a solenoid will cause the strength of its magnetic field to
As long as the current is steady, a solenoid's magnetic field will become stronger as the number of loops increases.
Was the electromagnet made stronger or weaker by adding more loops?An electromagnet's strength can be increased by increasing the current or voltage as well as the quantity of wire loops encircling the iron core.
What number of loops will result in the strongest magnetic field?It follows that increasing the number of turns or the current flow (by raising the voltage because I = V/R) will produce a stronger magnetic field for a given coil length. Therefore, a coil with N of 1000 turns would generate a stronger magnetic field than one with N of only 100 turns.
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As magma rises through the cracks of a spreading seafloor, it cools and adds new rock to the ocean floor.
The ribbon of magma causing the spreading is most similar to which structure?
A volcano
A sinkhole
A valley
A glacier
Answer:
zd its c
Explanation:
i know
Starting with an initial speed of 6.00 m/s, a 62.0 kg skier skies down a slope. The speed of the skier at the bottom of the slope is 26.5 m/s. Neglecting friction, determine the height of the slope.
The height of the slope is 323.6 meters. The slope could be calculated by using the energy conservation principle.
What is friction?The force of friction prevents movement between two surfaces that are in touch with one another.
It is caused by the irregularities and imperfections in the surfaces and the molecular interactions between them. Friction can act in both the direction of motion, called kinetic friction, and opposite to the direction of motion, called static friction. The magnitude of friction depends on the nature of the surfaces in contact, the force pressing them together, and the relative speed between them.
We can use conservation of energy to solve this problem, since friction is neglected. The total mechanical energy of the system (skier + Earth) is conserved:
KE_i + PE_i = KE_f + PE_f
where PE stands for potential energy and KE for kinetic energy.
At the top of the slope, the skier has only potential energy:
PE_i = mgh
where m is the skier's mass, g is the acceleration brought on by gravity, and h is the slope's height.
KE_f = (1/2)mv²
where v denotes the skier's speed at the slope's base.
Setting the initial and final energies equal to each other, we have:
mgh + 0 = (1/2)mv² + 0
Solving for h, we get:
h = (v²)/(2g) - (1/2)h
Plugging in the given values, we get:
h = (26.5²)/(2*9.81) - (1/2)h
Simplifying and solving for h, we get:
h = 323.6 m
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A laboratory measurement finds 200 μg of hemoglobin per μL of blood. Hemoglobin, the blood protein that transports oxygen, has a molecular weight of 64 kDa or 64,000 u , where 1 dalton ( Da ) = 1 atomic mass unit ( u ) = 1.66×10^−24g . Estimate the number of hemoglobin proteins in one red blood cell. Express your answer in hemoglobin per red blood cell.
One red blood cell contains an estimated 251 molecules of haemoglobin, according to our estimation.
What size does a red blood cell typically have?The average red blood cell has a diameter of 6 to 8 micrometres, according to the American Society of Haematology, and a volume of 113-268 μm³ or 113-268x10⁻¹² L.
Let's first change the haemoglobin concentration from grammes per litre to grammes per litre so that it has the same units as the molecular weight:
200 μg/μL x 1 g/1000 μg x 10⁶ μL/L = 0.2 g/L
Next, let's translate hemoglobin's molecular weight from kDa to grammes per molecule:
64 kDa x 1000 Da/kDa x 1.66x10⁻²⁴ g/Da = 1.06x10⁻²⁰ g/molecule
Using Avogadro's number, we can now determine how many haemoglobin molecules are present in a single litre of blood ([tex]6.022*10^{23}[/tex] molecules/mol): 0.2 g/L x 1 mol/1.06x10⁻²⁰ g x [tex]6.022*10^{23}[/tex] molecules/mol = 1.13x10¹⁵ molecules/L.
Divide the total number of molecules in 1 litre of blood by the volume of red blood cells to get the amount of haemoglobin molecules per red blood cell. The typical red blood cell count range, according to the American Society of Haematology, is between 4.5-5.5 million cells/L, which translates to 4.5-5.5x10¹² cells/L.
When we divide the quantity of red blood cells in 1 L by the quantity of haemoglobin molecules, we get:
1.13x10¹⁵ molecules/L / 4.5x10¹² cells/L = 251 Red blood cell haemoglobin molecules, rounded to the closest integer.
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Which of the following can be formed by a convergent boundary?
A. Volcanic mountains B. All of these
C. Volcanic islands
D. Deep ocean trenches
Answer:
Volcanic mountains can be formed by a convergent boundary.
The learner added some iodine solution to the water in the test tube. After 30 minutes at room temperature, the contents of the visking tubing bag were stained black, but the water in the test tube remained a yellow color.( I) explain this results
A baseball player wants to hit a home run over the wall of a
stadium. The player swings the baseball bat so that it hits the
ball when it is at a height of 0.996 m above the ground. The
ball flies off at an angle of 30° above the horizontal and at a
speed of 36.2 m/s. What is the tallest wall that the player can
clear (i.e., get the ball over) if the wall is 99.1 m away
horizontally?
A wall less than or equal to 14.7 m in height is the highest the player can clear.
How to calculate height?Use the kinematic equations of motion to solve the problem. First, we can find the time it takes for the ball to travel 99.1 m horizontally:
d = vt
t = d / v
t = 99.1 m / 36.2 m/s
t ≈ 2.74 s
Now, use the vertical motion equation to find the maximum height the ball reaches:
y = yo + vot + (1/2)at²
where:
yo = 0.996 m (initial height)
vo = v sinθ = 36.2 m/s x sin(30°) ≈ 18.1 m/s (initial vertical velocity)
a = -9.81 m/s² (acceleration due to gravity, pointing downward)
t = 2.74 s (time of flight)
y = 0.996 m + 18.1 m/s x 2.74 s + (1/2) x (-9.81 m/s²) x (2.74 s)²
y ≈ 14.7 m
Therefore, the tallest wall the player can clear is a wall with a height less than or equal to 14.7 m.
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a bird flies 3km to the west and then 4km to the south. find the resultant displacement of the bird
Answer:
We are asked to calculate for the resultant displacement.
We therefore conclude that the resultant displacement of the bird is 5 Km, 53o 5 K m , 53 o South of West.
Explanation:
have a nice day.
A bubble of air has a diameter of 1 mm when it is 0.5 m under the surface of water ( coefficient of surface tension 0.073 N/m). Find the gauge pressure inside the bubble.
The gauge pressure inside the bubble. is -101310.4 Pa.
The negative sign shows that the pressure inside the bubble is lower than the atmospheric pressure. Hence, the bubble will rise to the surface of the water.
How do we calculate?We apply Laplace's law to find the absolute pressure inside the bubble:
ΔP = 2γ/r
where ΔP is the pressure difference across the curved surface of the bubble, γ is the coefficient of surface tension of water, and r is the radius of curvature of the bubble.
r = 0.5 mm = 0.0005 m
Substituting the given values, we have:
ΔP = 2 × 0.073 N/m ÷ 0.0005 m
ΔP = 14.6 × 10^(-3) Pa
The atmospheric pressure at sea level is approximately 101325 Pa. Therefore, the gauge pressure inside the bubble is:
P_gauge = ΔP - P_atm
P_gauge = 14.6 × 10^(-3) Pa - 101325 Pa
P_gauge = -101310.4 Pa
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similarities and differences between a lunar eclipse and the disappearing sun. HELP FAST
Answer: A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.
The voltage of a DC supply always _____________.
A. Points in opposite directions
B. Does not point in any direction
C. Points in various directions
D. Points in the same direction
The voltage of a DC supply always Points in the same direction. The correct answer is d.
A direct current (also known as DC) supply has voltage that always points in the same direction. A direct current (DC) is a form of electrical current in which the flow of electric charge is unidirectional. This means that it only moves in one direction through a circuit. DC is also known as a direct current. DC (Direct Current) keeps the flow of charge going in the same direction all the time, in contrast to AC (Alternating Current), which reverses its direction at regular intervals.
The voltage source in a DC circuit, which could be a battery or a DC power supply, is responsible for maintaining a consistent potential difference between the circuit's positive and negative terminals. The potential difference between the positive and negative terminals of the voltage source is greater at the positive terminal than it is at the negative terminal. As a direct consequence of this, electrons move from the negative terminal to the positive terminal, which results in the generation of an electric current that moves in the same direction consistently throughout the circuit.
When a load (such as a resistor, a light bulb, or any other type of electrical component) is connected to a DC voltage source, the DC voltage will drive the passage of electric charge through the load, which will either power the device or perform work that is of some benefit.
In a nutshell, the voltage coming from a DC supply always points in the same direction, which is from the negative terminal of the voltage source to the positive terminal of the voltage source. This results in a constant flow of electric current when the supply is connected to a DC circuit.
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Which list of components creates a circuit through which an electric current can flow?
A. a battery, insulated wires, a buzzer, and an open switch
B. a generator, two light bulbs, and an open switch
C. a generator, a light bulb, and a closed switch
D. a battery, insulated wires, and a buzzer
A circuit requires a complete loop through which an electric current can flow. Therefore, The correct answer is Option(D).
A battery provides the source of the electric potential difference, and insulated wires allow the current to flow from the battery to the buzzer. The buzzer completes the loop back to the battery. An open switch, such as in options A and B, would break the circuit and prevent the flow of electric current. A closed switch, such as in option C, would complete the circuit. However, option C does not provide a complete circuit with a source of electric potential difference, and therefore cannot create a sustained flow of electric current.
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why does pure water increase in volume when heated
Answer:
Pure water increases in volume when heated due to the phenomenon of thermal expansion. When water is heated, the kinetic energy of its molecules increases, causing them to move faster and spread out. This increased molecular movement leads to an increase in the average distance between water molecules, resulting in an expansion of the water.
Explanation:
.......
Need Help! The diagram shows a cross section of the Earth near its surface.
In the diagram, continental crust is labeled ___, and oceanic crust is labeled ____
A. 1; 2
B. 3; 1
C. 2; 1
D. 1; 3
In the diagram, continental crust is labeled 1 and oceanic crust is labeled 2.
option A.
What are the characteristics of Continental and ocean crust?
Continental crust:
Generally thicker, averaging about 30-40 kilometers in depth.Composed mostly of granite, which is a type of igneous rock.Less dense compared to oceanic crust.Contains a wide range of rock types, including sedimentary, metamorphic, and igneous rocks.Forms the continents and the shallow shelves extending from the continents under the oceans.Oceanic crust:
Generally thinner, averaging about 5-10 kilometers in depth.Composed mostly of basalt, which is a type of igneous rock.More dense compared to continental crust.Mostly consists of igneous rocks, specifically basaltic lava flows and volcanic rocks.Forms the ocean basins and the deep ocean floor.Learn more about Continental and ocean crust here: https://brainly.com/question/5637320
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Using the Left Hand Rule, if motion is toward you and the field is up, which way is the current?
A. Left
B. Right
C. Toward you
D. Away from you
What is the weight of a body of mass 12kg?
An airplane flies with a constant speed of 1624 miles per hour. How far can it travel in 30 minutes?
The distance the airplane will travel in 30 minutes, given that the airplane travels at 1624 miles per hour is 812 miles
How do i determine the distance travelled?The following data were obtained from the question:
Speed of airplane = 1624 mile per hourTime taken = 30 minutes = 30 . 60 = 0.5 hourDistance travelled =?Speed is defined as distance travelled per unit time.
Speed = Distance travelled / time
Inputting the various parameters, we can obtain the distance travelled as follow:
1624 = Distance travelled / 0.5
Cross multiply
Distance travelled = 1624 × 0.5
Distance travelled = 812 miles
Thus, we can conclude that the distance travelled by the airplane in 30 minutes is 812 miles
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33) If a speeding motorcycle is moving, it must also
have
a) potential energy.
b) kinetic energy.
c) chemical energy.
d) all of the above
if it took her 2.7 seconds to lift the lawnmower, how much power did she output
Answer:
N/A
Explanation:
The following formula can be used to compute the power output of a person lifting a lawnmower:
Work (W) / Time (t) = Power (P).
Where:
Work (W) is defined as the force used to lift the lawnmower multiplied by the distance traveled (i.e., work done against gravity).
Time (t) is the amount of time it takes to lift the lawnmower.
To determine the power output, however, we would need to know the force used to lift the lawnmower as well as the distance it was lifted. We won't be able to provide an accurate power output value without this information.
A wave has a frequency of 50Hz and a wavelength of 20m.
Calculate the speed of the wave in m/s.
Explanation:
f= 50Hz
wavelength= 20m
Speed of wave (v) = frequency × wavelength
= 50×20
= 1000m/s
A sound wave travelling at 330m/s has a frequency of 220Hz. What is its wavelength?
Answer: 1.5 meters.
Explanation:
Wavelength is equal to λ = v/f. We are given the following:
v = 330 m/s
f = 220 Hz
We can plug this in to find the wavelength.
[tex]wavelength = \frac{330}{220} \\wavelength = 1.5 m[/tex]
A uniform, aluminum beam 9.00 m
long, weighting 300 N
, rests symmetrically on two supports 5.00 m
apart. A boy weighing 600 N
starts at point A
and walks toward the right. (Figure 1) How far beyond the support can the boy walk without tipping?
The boy weighing 600 N can walk at most 4.1 m beyond point A without tipping the beam.
What is center of mass?It is the weighted average position of all the system's or object's constituent pieces. It is the average position of all the parts of the system or object, weighted according to their mass. In other words, the center of mass is the point where an applied force will result in pure translation of the object, without any rotation.
To avoid tipping, the center of mass of the beam and the boy together must remain over the area between the two supports. Let's first find the center of mass of the beam.
The weight of the beam is 300 N and it is uniform, so its center of mass will be located at the midpoint, or 4.5 m from either support.
Next, we need to find the center of mass of the boy-beam system as the boy walks along the beam. Let's assume the boy moves a distance d to the right of point A before tipping occurs. The weight of the boy is 600 N and we can approximate his weight as acting at the center of his body, which we'll assume is 0.9 m from the left end of the beam. The combined center of mass of the boy-beam system will be at a distance (4.5 m + 0.9 m + d) from the left end of the beam.
For the system to remain stable, this combined center of mass must remain between the two supports, which are 5.00 m apart. Therefore, we can write:
4.5 m ≤ 4.5 m + 0.9 m + d ≤ 9.5 m
Solving for d, we get:
d ≤ 4.1 m
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when a pure water is heated , it increases in volume
As water freezes below 4°C, the volume of the liquid shrinks and water molecule motion slows. When the temperature rises over 4 °C, the water molecules spread out and take up more space, increasing the volume.
How does cooling water from 4 C to 0 C affect its volume?Due to the peculiar property of water known as "Anomalous Expansion of Water," when 1 liter of water is cooled from 4°C to 0°C, the volume of the water starts to grow. Between 4°C and 0°C, water expands abnormally.
What happens to water's specific volume when it is heated from 0 degrees Celsius?Water volume reduces as it is heated from 0°C to 4°C because the water's density will be maximum
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What three factors account for challenges in the Civil Rights Movement after 1965?
lack of strong leadership
opposition to reforms in Congress
differences of opinion within rights movements
opposition from a majority of the Supreme Court
lack of public support for school desegregation policies
Answer:
differences of opinion within rights movements
opposition to reforms in Congress
lack of public support for school desegregation policies
hope this helps :) !!!
Answer:
Answer: answer A, B and C are correct
Explanation:
Answer: answer A, B and C are correct
With the solar photon flux of 3*10^21 m²s¹, how large area in [m²] covered by solar panels would be necessary to produce 150 kW of power? Assume yellow light (2.1 eV) and 15% power conversion efficiency.
O a. 100
O b. 50
O c. 25
O d. 10
O e. 1000
Answer: (D) 10
can't explain brainly keeps censoring the numbers out for some reason
A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. The trains collide. After the collision the green train moves with a speed of 3 m/s. What is the final momentum of the green train?
A. 200 kgm/s
B. 90 kgm/s
C. 20 kgm/s
D. 110 kgm/s