in the given scenario, the relationship between the slit width (a) and the slit separation (d) is determined to be d = a/7, based on the coincidence of the second diffraction minimum with the 14th double-slit maximum.
The double-slit experiment involves passing light through two parallel slits and observing the resulting interference pattern. The pattern consists of alternating bright and dark fringes. The bright fringes correspond to constructive interference, while the dark fringes correspond to destructive interference.
In this case, the second diffraction minimum coincides with the 14th double-slit maximum. The diffraction minimum occurs when the path lengths from the two slits to a particular point differ by half a wavelength, resulting in destructive interference.The double-slit maximum occurs when the path lengths are equal, leading to constructive interference.Since the second diffraction minimum corresponds to the 14th double-slit maximum, we can conclude that the path length difference for the second diffraction minimum is equal to 14 times the wavelength.
The path length difference can be expressed as d*sin(θ), where d is the slit separation and θ is the angle of deviation. For small angles, sin(θ) is approximately equal to θ in radians.Therefore, we have d*sin(θ) = 14λ, where λ is the wavelength of light.Assuming the angle of deviation is small, we can approximate sin(θ) as θ.
Thus, we have d*θ = 14λ.For a small angle, θ can be related to a and d using the small angle approximation: θ ≈ a/d.Substituting this into the previous equation, we get d*(a/d) = 14λ.The d cancels out, resulting in a = 14λ.Therefore, the relationship between the slit width (a) and the slit separation (d) is d = a/7.
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HELP ME Please!!!!!!
Select ALL that apply
Answer:
Increase the number of coils.
Explanation:
By increasing the number of coils we can increase the electromagnet.
show that the result of applying a cnot gate followed by a hadamard gate (on the first qubit) to 2 qubits initially in the bell state is a computational basis state.
The statement "The result of applying a cnot gate followed by a hadamard gate (on the first qubit) to 2 qubits initially in the bell state is a computational basis state." has been proved below.
The controlled-NOT (CNOT) gate and Hadamard gate are two fundamental quantum gates. The CNOT gate is a two-qubit gate that performs a NOT operation on the second qubit if the first qubit is in the state |1⟩ and leaves the second qubit unchanged if the first qubit is in the state |0⟩. The Hadamard gate is a single-qubit gate that creates a superposition of |0⟩ and |1⟩ states.
Now, suppose we have two qubits initially in the Bell state:
|ψ⟩ = (|00⟩ + |11⟩) / sqrt(2)
If we apply a CNOT gate to this state with the first qubit as the control qubit and the second qubit as the target qubit, we get:
CNOT|ψ⟩ = (|00⟩ + |10⟩) / sqrt(2)
Next, we apply a Hadamard gate to the first qubit:
H|0⟩ = (|0⟩ + |1⟩) / sqrt(2)
Now, we have the following state:
(H ⊗ I)(CNOT|ψ⟩) = (H ⊗ I)(|00⟩ + |10⟩) / sqrt(2)
= (|00⟩ + |10⟩ + |01⟩ - |11⟩) / 2
This is a computational basis state, i.e., a state that can be written as a tensor product of two single-qubit states. In fact, it is the state (|0⟩ + |1⟩) ⊗ |0⟩, which is equivalent to |+⟩ ⊗ |0⟩, where |+⟩ = (|0⟩ + |1⟩) / sqrt(2) is the superposition state. Therefore, applying a CNOT gate followed by a Hadamard gate on the first qubit to two qubits initially in the Bell state results in a computational basis state.
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which time has the larger angular acceleration pivot
The time with the larger angular acceleration at the pivot point will be the one with the larger calculated angular acceleration value.
Angular acceleration is the rate of change of angular velocity. When an object rotates about an axis, it has an angular acceleration. To determine which time has the larger angular acceleration at the pivot point, you will need to follow these steps:
1. Identify the two different times in question (time A and time B).
2. Calculate the angular acceleration (α) at both times using the equation α = Δω / Δt, where Δω is the change in angular velocity and Δt is the change in time.
3. Compare the angular accelerations calculated in step 2.
Therefore, the time with the larger angular acceleration at the pivot point will be the one with the larger calculated angular acceleration value.
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In a river, a trout passed beneath a woman who was swimming at 1,800 centimeters per minute. The trout swam 7,200 centimeters directly upstream at a constant velocity. It swam that distance in 1.6 minutes. What was the trout's velocity?
Write your answer as a whole number.
centimeters per minute upstream
Answer:
4,500 cm per minute
Explanation:
Use the triangle of speed, distance, and time for reference.
You need the speed, so:
\(s=\frac{d}{t}=\frac{7200}{96} =75\)
We change minutes to seconds to make it a round number
Then we just multiply, 75 times 60, because there are 60 seconds in one minute. We get 4,500 cm/m.
The following images show the four terrestrial planets in our solar system. Rank these planets from left to right based on the atmospheric pressure at the surface, from highest to lowest.Venus, Earth, Mars, Mercury
Mercury, Venus , Mars , Jupiter and Saturn are much seen planets.
What is plantes?A planet is a body that is in orbit around the sun has sufficient Mars for it's self-gravity to overcome rigid body forces so that it assumes nearly round shape.
In simple words we can say any of the large bodies that revolve around the sun in the solar system called planet.
The current count orbiting our star there are eight planet but earth, mercury, Venus , Jupiter and Mars are much visible .
So,
At certain times of the year these 5 planets can be seen from earth .
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What volume of 2. 00 M HCl in liters is needed to react completely (with nothing left over) with 0. 500 L of 0. 500 M Na2CO3
To react completely with 0.500 L of volume of 0.500 M Na2CO3, you would need 0.250 L of 2.00 M HCl.
Write down the balanced chemical equation for the reaction between HCl and Na2CO3:
2 HCl + Na2CO3 → 2 NaCl + H2O + CO2
Determine the stoichiometry of the reaction:
From the balanced equation, we can see that 2 moles of HCl react with 1 mole of Na2CO3.
Calculate the number of moles of Na2CO3:
Given that the volume of Na2CO3 solution is 0.500 L and the concentration is 0.500 M, we can use the formula:
Moles = Concentration × Volume
Moles of Na2CO3 = 0.500 M × 0.500 L = 0.250 moles
Use the stoichiometry to determine the number of moles of HCl needed:
According to the stoichiometry of the balanced equation, 1 mole of Na2CO3 reacts with 2 moles of HCl.
Therefore, to react with 0.250 moles of Na2CO3, we would need 2 × 0.250 = 0.500 moles of HCl.
Convert moles of HCl to volume:
Given that the concentration of HCl is 2.00 M, we can use the formula:
Volume = Moles / Concentration
Volume of HCl = 0.500 moles / 2.00 M = 0.250 L
Convert the volume to liters:
The final answer is 0.250 liters of 2.00 M HCl are needed to react completely with 0.500 L of 0.500 M Na2CO3.
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The can be obtained by using the balanced chemical equation: Na2CO3 + 2 HCl → 2 NaCl + H2O + CO2 Write the balanced chemical equation for the reaction.
Na2CO3 + 2 HCl → 2 NaCl + H2O + CO2
Calculate the number of moles of Na2CO3. Using the formula n = c × V, where n is the number of moles, c is the concentration, and V is the volume, we get:
n = c × V
= 0.500 M × 0.500 L
= 0.250 mol
Calculate the number of moles of HCl required.The balanced chemical equation shows that 2 moles of HCl react with 1 mole of Na2CO3. Hence, the number of moles of HCl required can be calculated as follows
:n(HCl) = 2 × n(Na2CO3)
= 2 × 0.250 mol
= 0.500 mol
Calculate the volume of 2.00 M HCl required.The number of moles of HCl required is 0.500 mol. Using the formula V = n/c, where V is the volume, n is the number of moles, and c is the concentration, we get:
V = n/c
= 0.500 mol ÷ 2.00 M
= 0.250 L
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consider two objects with equal momentum. which statement is true? group of answer choices the more massive object will have less velocity both objects will have equal velocity the more massive object will have more velocity both objects have the same speed
The statement that is true regarding two objects with equal momentum is as follows: the more massive object will have less velocity (option A).
What is momentum?Momentum is the tendency of a body to maintain its inertial motion. It is the product of an object's mass and velocity, or the vector sum of the products of its masses and velocities.
Mass and velocity are both directly proportional to the momentum. This means that if one increases either mass or velocity, the momentum of the object increases proportionally.
According to this question, two objects have equal momentum. This suggests that the objects with the greater mass must have a lesser velocity and vice versa.
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Calculate the Kinetic energy of a truck that has a mass of 2900 kg and is moving at 55 m/s.
The kinetic energy of the truck is 44,287,500 J as per the given data.
What is kinetic energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it.
The kinetic energy (K) of an object can be calculated using the formula:
\(K = 0.5 Xm X v^2\)
Where,
m = mass of the object
v = velocity
Plugging in the values given in the question, we have:
\(K = 0.5 X 2900 X (55 m/s)^2\)
\(K = 0.5 X 2900 X 3025 m^2/s^2\)
K = 44,287,500 J (joules)
So, the kinetic energy of the truck is 44,287,500 J.
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If Patty applies a 50 N Force to a 0.26 kg baseball, how much acceleration will
the baseball have?
31"
Explanation:
\(Force = mass × acceleration\)
\(50 = 0.26 \times a\)
\(a = 192.307 \: m {s}^{ - 2} \)
Why does a third class lever cannot magnify force?
Explanation:
The third class lever cannot magnify our force because in third class lever the effort it between the load and the fulcrum. Also, in this type of lever no matter where the force is applied, it is always greater than the force of load. Hence, That type of lever cannot magnify our force.
Identify the relationship between kinetic energy and gravitational potential energy for the cyclist at each position
Answer:
follows are the responses to the given question:
Explanation:
The kinetic energy of every object moving. \(PK=m \times v^2\) any entity lifted against the strength of gravity stores elastic potential of gravity.
\(PE = height \times mass \times g\)
Its total power of an independent device stays constant underneath the Mass conservation on Energy and it is, the kinetic energy plus potential energy is just like a fixed \((KE+PE=Standard)\). So, if KE improves, it is valid that PE declines.
If the PE is now at least then KE has been at the highest. It is also valid that KE is reduced as PE is increased as well as the maximum PE, the minimum KE.
The length of a road is 35.5cm what will be the length in meters?
안녕하세요
answer is 355 meters ...
Answer:
0.355m
Explanation:
To convert from cm to m, divide by 100
35.5÷100=0.355m
3
A car travels at an average speed of 60 km/h for 15 minutes.
How far does the car travel in 15 minutes?
D
900 km
C 240 km
4.0 km
A
В B 15 km
Answer:
(Option B)The car travels 15km in 15 minutes.
Explanation:
Notice that the speed is written using units of km/h and the time is written using units of minutes.
Convert the time interval to hours. Remember that 1 hour equals 60 minutes:
15 min = 15 min × \(\frac{1h}{60~min}=0.25h\)
The distance d that a particle travels during a time t if it moves at an average speed v is given by the formula:
d = v · t
Replace v=60km/h and t=0.25h to find the distance traveled by car:
\(d=(60\frac{km}{h}) ~x~(0.25h)=15km\)
Therefore, the car travels 15km in 15 minutes.
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A skydiver has his parachute open and is floating downward through the air at a constant speed. Identify all the forces acting on the system skydiver-parachute.
a. Tension, T
b. Thrust F
c. Normal force, n
d. Weight, w
e. Air resistance, D
f. Kinetic friction force, f
Gravity and drag are the main forces acting on a parachute. The force of gravity pulls it downwards when you first release the parachute, and the parachute speeds toward the ground. The more drag it creates, the faster it falls.
1. Gravity is acting downwards.
2. Air resistance (D) is acting upwards and slowing him.
3. Some side force is also present if the wind is blowing.
4. The weight of the object is the force acting downwards that is caused by the earth’s gravitational field acting on the mass of object.
5. Thrust push our parachute up into the air, but a weight force is pulling the parachute down at the same time,
As the speed of a floating parachutist increases, every second they displace more air molecule, so, the air resistance, or drag force increases. This decreases their acceleration. The forces on them are balanced, when their weight is equal to the drag force, so they travel at a constant speed i.e., the terminal speed.
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Answer: Weight and air resistance
Explanation:
Weight applied from the sky diver and air resistance
A heat engine takes in 500kW of heat power at a temperature of 500oC and rejects 265kW at a temperature of 50oC. (a). Determine the thermal efficiency of this cycle, then (b) Determine the thermal efficiency of the corresponding Carnot cycle and (c) Based on a comparison of these two efficiencies, can this heat engine exist? Explain your answer.
The thermal efficiency of the given heat engine is 47%, while the thermal efficiency of the corresponding Carnot cycle is 58.24%. The heat engine falls short of the Carnot efficiency, suggesting inefficiencies or design limitations.
(a) To determine the thermal efficiency of the given heat engine, we can use the formula:
Thermal Efficiency = (Net Work Output / Heat Input) * 100
The net work output can be calculated by subtracting the heat rejected from the heat input:
Net Work Output = Heat Input - Heat Rejected
Given:
Heat Input = 500 kW
Heat Rejected = 265 kW
Substituting these values into the formula, we have:
Net Work Output = 500 kW - 265 kW = 235 kW
Now, we can calculate the thermal efficiency:
Thermal Efficiency = (235 kW / 500 kW) * 100 = 47%
Therefore, the thermal efficiency of this cycle is 47%.
(b) The Carnot cycle is an idealized reversible heat engine that operates between two heat reservoirs. Its thermal efficiency can be determined using the formula:
Thermal Efficiency Carnot = 1 - (T_low / T_high)
Given:
T_low = 50°C + 273.15 = 323.15 K
T_high = 500°C + 273.15 = 773.15 K
Substituting these values into the formula, we have:
Thermal Efficiency Carnot = 1 - (323.15 K / 773.15 K) ≈ 0.5824 (58.24%)
Therefore, the thermal efficiency of the corresponding Carnot cycle is approximately 58.24%.
(c) Comparing the thermal efficiency of the given heat engine (47%) with the thermal efficiency of the Carnot cycle (58.24%), we can conclude that the heat engine is less efficient than the corresponding Carnot cycle. In theory, the maximum efficiency any heat engine can achieve is the Carnot efficiency when operating between the same temperature limits. The given heat engine falls short of the Carnot efficiency, indicating that it is not operating at the maximum possible efficiency.
This comparison suggests that the given heat engine may not be feasible or ideal. It could be due to factors such as irreversibilities, inefficiencies in the conversion of heat to work, or losses in the system. Improving the design or addressing these inefficiencies would be necessary to approach the ideal efficiency of the Carnot cycle.
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Dos personas conversan a través de una gruesa pared de 3 metros de altura interpuesta entre ellos. Este hecho puede ser mejor explicado por el fenómeno de la A) difracción. B) refracción. C) reflexión. D) polarización. E) ninguna de las anteriores
Answer:
Opción A - Difracción
Explanation:
Mirando las opciones, la respuesta correcta es la difracción.
Esto se debe a que la difracción es simplemente la propagación de las olas alrededor de los obstáculos.
Por ejemplo, si estuviera afuera de una puerta abierta, aún podría escuchar porque la arena se extenderá desde la pequeña abertura como si fuera una fuente localizada de arena.
Esto es posible debido al fenómeno llamado difracción.
When will you attract the sun more,
today at noon or tonight at midnight
Find the rate of change of the volume of a cube with respect to the length of its side when =11
When s = 11, the rate of change of the volume of the cube with respect to the length of its side is 363 cubic units per unit change in side length.
To find the rate of change of the volume of a cube with respect to the length of its side, we need to differentiate the volume formula with respect to the side length.
Let's denote the side length of the cube as "s" and the volume as "V."
The volume of a cube is given by the formula V = s³.
To find the rate of change of V with respect to s, we differentiate V with respect to s:
dV/ds = 3s².
Now, if we substitute s = 11 into the expression, we can find the rate of change at that specific value:
dV/ds = 3(11)²
= 3(121)
= 363.
Therefore, when s = 11, the cube's volume changes at a rate of 363 cubic units for every unit increase or decrease in side length.
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Determine the Z-transform and Region of Convergence (ROC) of the signal x[n] = (cos won)u(n). (10 Marks) b) Determine the pole-zero plot for the signal x[n] = a"u(n), a > 0.
What is the Z-transform of the signal x[n] = a^n * u[n], where a > 0?
The Z-transform of the signal x[n] = a^n * u[n], where a > 0, is X(z) = 1 / (1 - az^(-1)).a) The Z-transform of the signal x[n] = (cos(ωn))u[n] is X(z) = 1 / (1 - cos(ω)z^(-1)), with the Region of Convergence (ROC) |z| > 1.
b) The pole-zero plot for the signal x[n] = a^n * u[n], where a > 0, consists of a zero at z = a and no poles.
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Exercise combined with a _____________________________________can help control weight.
Answer:
healthy diet
Explanation:
Exercise and a healthy diet are the two things people do to stay healthy
por qué existen diferentes tipos de estrellas
Consider a beaker with two holes X and Y near the base, such that hole X is ABOVE hole Y. The holes are closed with water-resistant tape and the beaker is filled with water.
Both the holes are then uncovered at the same time. If water from hole X comes out in a stream that touches the ground at a distance of 5 cm away from the beaker, how far from the beaker will the stream from hole Y touch the ground?
1. exactly 5 cm
2. less than 5 cm
3. more than 5 cm
4. (It will be more or less than 5 cm depending on the distance between the two holes.)
As the height of the hole increases, the velocity of the stream increases, results in a higher distance from the beaker. Therefore, the distance of the stream from the hole Y will be less than that from X thus, less than 5 cm is correct.
What is stream speed ?The speed of stream can be determined using the height and acceleration due to gravity g. We can use the equation for velocity using the parameters g and h.
v = √2gh
Therefore, as the height h increases, v increases.
Similarly the distance s = vt
therefore, the distance increases with v.
Here, the hole x is above the hole Y. Then the stream from X will have the greater speed and it covers greater distance (5 cm )from the beaker. Stream from Y slow compared to that in X hence covers a distance less than 5 cm. Hence, option 2 is correct.
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If a cloud passes in front of sirius and reduces the flux that reaches you by a factor of 3, how many times brighter than vega will it be?
Vega will be about 6.5 times brighter than Sirius after the cloud passes in front of it.
The flux received from a star is,
Flux = Luminosity / (4π × distance²)
According to the HYG Database, Sirius has a distance of about 8.6 light years from us, while Vega has a distance of about 25 light years.
Original flux received from Sirius as F(S), then the flux received after the cloud passes in front of it will be 1/3 F(S). To calculate the relative brightness of Vega compared to Sirius,
(d(Sirius) / d(Vega))² = F(Vega) / F(Sirius)
where d(Sirius) and d(Vega) are the distances between Sirius and Vega, respectively.
F(Vega) = F(Sirius) × (d(Vega) / d(Sirius))²
= (1/3 F(S)) × (25 / 8.6)²
≈ 6.5 × F(Sirius)
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It is a hot summer day at the beach. From your understanding of specific heat capacity, what can you expect to be the difference between the sand and the water?
The water will gain more thermal energy than the sand
The water will heat up faster then the sand
The sand will heat up faster than the water
The sand will lose its energy more slowly than the water
Answer:
the sand will heat up faster than the water
Explanation:
water has slow heat conduction
and sand had high heat conduction
Timmy is playing on a moving walkway like you find in an airport. He wants to have fun and decides to run backward on the moving walkway at 1.6 m/s with respect to the moving walkway he is on. Both Timmy and the moving walkway are going in the opposite directions. The walkway is going at 6.9 m/s. What speed is Timmy going with respect to a person watching this endeavor who is standing on solid ground beside the walkway?
The relative velocity is obtained as 5.3 m/s from the calculation as shown below.
What is motion?We know that motion refers to the change in the position of an object with time. Give that we know that motion is relative and the position of the two objects that are in motion must always be taken into consideration. In this case, we have the situation in which Timmy and his friends are moving backwards and the runway is moving forward thus they are actually moving in opposite directions as seen.
Let us note that velocity is a vector quantity hence we have to assign the forward direction as positive and the backwards direction as negative. Thus we can then take the relative motion between Timmy and his friend and the walk way can be obtained quite conveniently by the use of;
6.9 m/s - 1.6 m/s = 5.3 m/s
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The efficiency of lever is always less than 100%why
Answer:
The output work is always less than the input work because some of the input work is used to overcome friction. Therefore, the efficiency is always less than 100 percent.
nalyze the scatterplot graph.
Which trend does the graph show?
As age increases, weight increases.
As weight decreases, age increases.
As age increases, weight remains the same.
As weight increases, age remains the same.
As we see in the scatterplot graph and the briefing given below the most appropriate option is A-As age increases, weight increases.
Briefing:If you follow the arrow's trajectory, your finger will move to the right, increasing age (on the horizontal axis).
Additionally, as your finger rises, the weight (on the vertical axis) does as well.
Age and weight increase in tandem since both processes are ongoing.
What do scatterplot graphs display?The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.
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The complete question is-
Analyze the scatterplot graph.
Which trend does the graph show?
A-As age increases, weight increases.
B-As weight decreases, age increases.
C-As age increases, weight remains the same.
D-As weight increases, age remains the same.
The force of ________, in conjunction with the wind, is the cause of most waves.
The force of friction, in conjunction with the wind, is the cause of most waves.
The ocean is never still whether you observe it from a boat or from the beach, we tend to see waves always on the horizon. Waves are created by energy passing via water, causing it to move in a circular motion.
Waves transmit energy, not water. Waves are most commonly used by wind, and wind-driven waves are created by the force of friction. As wind blows across the surface of the blue ocean, the tendency to cause waves increases. You can see these types of waves anywhere on the ocean, on a lake or a river, globally.
Also, the gravitational force of the sun and the moon causes waves, These waves are well known as tides or tidal waves.
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a certain christmas tree ornament is a silver sphere having a diameter of 8.50 cm. determine an object location for which the size of the reflected image is three-fourths the object's size. use a principle-ray diagram to arrive at a description of the image.
The diameter of the object is approximately is 11.33 cm.
To determine the object location for which the size of the reflected image is three-fourths the object's size, we can use the concept of spherical mirrors and the mirror equation.
The mirror equation is given by:
1/f = 1/do + 1/di
Where:
f is the focal length of the mirror
do is the object distance (distance of the object from the mirror)
di is the image distance (distance of the image from the mirror)
In this case, the mirror is a spherical mirror, and since the size of the reflected image is specified, we can use the magnification equation:
m = -di/do
Where:
m is the magnification
di and do have the same sign when the image is upright and opposite signs when the image is inverted
Let's solve for the object distance (do) when the magnification (m) is three-fourths (3/4) and the diameter of the object (which is the same as the diameter of the image) is 8.50 cm.
We know that the diameter of the image (Di) is related to the diameter of the object (Do) by the equation:
Di = m * Do
Given that Di = 8.50 cm and m = 3/4, we can substitute these values to find the diameter of the object:
8.50 cm = (3/4) * Do
Now, let's solve for Do:
Do = (8.50 cm) / (3/4)
Do = (8.50 cm) * (4/3)
Do ≈ 11.33 cm
So, the diameter of the object is approximately 11.33 cm.
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How can you increase efficiency of a simple machine??
Answer:
Efficiency can be increase by using rollers in conjunction with the inclined plane. Wedge. The wedge is an adaptation of the inclined plane. It can be used to raise a heavy load over a short distance or to split a log.
Explanation:
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