a slide projector needs to create a 99.0 cm -high image of a 2.00 cm -tall slide. the screen is 307 cm from the slide.you may want to review (page 960) .for help with math skills, you may want to review:rearrangement of equations involving multiplication and divisionfor general problem-solving tips and strategies for this topic, you may want to view a video tutor solution of using a lens to make an image.part awhat focal length does the lens need? assume that it is a thin lens.
Answers
The focal length of the lens needed to project the slide onto the screen is 104 cm.
The focal length of the lens needed to project a 2.00 cm tall slide onto a 99.0 cm high image on a screen 307 cm away is given by the thin lens equation:
1/f = 1/d + 1/D
where f is the focal length, d is the distance of the slide from the lens, and D is the distance of the image from the lens.
In this case d = 2.00 cm and D = 307 cm - 99.0 cm = 208 cm. Substituting into the equation yields:
1/f = 1/2.00 + 1/208
Rearranging gives:
f = (2.00*208)/(2.00+208) = 104 cm
Therefore, the focal length of the lens needed to project the slide onto the screen is 104 cm.
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Related Questions
A body has weight 600N on the surface of the mars then what is its mass on the same place.
Answers
Answer:
\(\boxed{m = 162.16 kg}\)
Explanation:
Given:
Weight = W = 600 N
Acceleration due to gravity = g = 3.7 m/s²
Required:
Mass = m = ?
Formula:
W = mg
Solution:
For m, it'll be
=> m = W/g
=> m = 600/3.7
=> m = 162.16 kg
Answer:
Explanation:
Weight (w) = Mass (m) x Acceleration due to gravity (g)
weight = 600 N
g = 3.72076 ms^-2
m = w / g
m = 600 / 3.72076
m = 161.25737752502176974596587793892 kg
m ≈ 161.3 kg
How does a balanced Chemical Equation Satisfy the Law of Conservation of Mass?
A. During a chemical reaction, the total amount of matter stays the same.
b. During a chemical reaction, matter is destroyed.
c. During a Chemical reaction, one ore more new substances formed.
d. During a chemical reaction, the total number of atoms increases.
Answers
Starting from rest, a marble first rolls down a steeper hill, then down a less steep hill of the same height. For which is it going faster at the bottom?.
Answers
The first and second marble have the same speed at the bottom.
We need to know about the conservation of energy to solve this problem. The energy can not be created or destroyed, the only way is to change to another form. It can be written as
Ei = Ef
where Ei is initial energy and Ef is the final energy
The potential energy of the first marble is the same as the second marble because they have the same height. According to conservation of energy, the potential energy will be converted to kinetic energy and the speed of the marbles will same at the bottom.
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Example of a solid that sunlines is ( ? )
Answers
An example of a solid that sunlines is a billboard.
What is a billboard?A billboard simply refers to a very large board which is usually, frequently and most of the time used for displaying advertisements
So therefore, an example of a solid that sunlines is a billboard
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The light intensity incident on a metallic surface with a work function of 1.88 eV produces photoelectrons with a maximum kinetic energy of 1.2 eV.
if the frequency of the light is doubled, what is the maximum kinetic energy of the photoelectrons?
Answer in units of eV.
Answers
Answer:
KE = KE (incidental) - KE of emitted photons
or KE = h * f - Wf
So h * f = KE + Wf = 1.2 + 1.88 = 3.08 incident energy
If you double the frequency then h * f = 6.16
KE = 6.16 - 1.2 = 4.96 eV
________ occurs when a person is holding an object that is directly hit or splashed by lightning.
Answers
Contact injury happens when a person is holding an object that is directly hit or splashed by lightning.
To find answer, we need to know more about the lightning and injuries.
What are the injuries caused by lightning?The phenomenon of natural electrical discharge happens in a short time with a bright flash is called lightning.It carries a huge amount of energy.The injuries caused by lightning can be classified as Direct strikes, Side splash and the Contact injury.Direct injuries happens when a person directly hit by lightning.Side splash occurs when a current splashes from a nearby object.Contact injury happens when a person touching an object that is hit by lightning.Thus, we can conclude that, contact injury occurs when a person is holding an object that is directly hit or splashed by lightning.
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When someone is holding something that has been struck or splashed by lightning, contact damage occurs.
We need additional information concerning lightning and injuries in order to identify the solution.
What types of injuries are brought on by lightning?Lightning is the name for a natural electrical discharge that occurs quickly and with a dazzling flash.It has a tremendous amount of energy.Lightning-related injuries can be divided into three categories: direct strikes, side splashes, and contact injuries.When someone is struck by lightning directly, they can get direct injury.When a current splashes from a neighboring object, it is called a side splash.When someone touches a lightning-hit object, contact harm results.In light of this, we can say that contact injuries happen when a person is holding an object that has been struck by lightning or splashed by it.
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all millisecond pulsars are now, or once were, members of binary-star systems.
a. true
b. false
Answers
All millisecond pulsars are now, or once were, members of binary-star systems. This statement is option a. true
Millisecond pulsars are now, or once were, members of binary-star systems. They are highly-magnetized, fast-spinning neutron stars formed through the transfer of mass from a companion star in a binary system. This transfer of mass leads to an increase in the pulsar's rotation speed, resulting in very rapid rotation periods, typically in the range of milliseconds.
Highly magnetised neutron stars known as pulsars produce electromagnetic radiation beams along their magnetic axes as they rotate. They were initially believed to be artificial signals from extraterrestrial intelligence when they were first found in 1967 by Jocelyn Bell Burnell and Antony Hewish. Pulsars can rotate up to several hundred times per second and release radiation at a variety of wavelengths, including radio waves and gamma rays. A number of astrophysical phenomena, including the behaviour of matter under extreme circumstances, the workings of gravity, and the makeup of the Milky Way galaxy, can be studied using the radiation emitted by pulsars.
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Which are the products in the equation CH3SH + 4O2 → CO2 + SO2 +2H2O? Check all that apply. CH3SH, O2 ,CO2, SO2, H2O
Answers
Answer:
C D E is the answer
Explanation:
The products of the reaction are; CO2, SO2, H2O.
What is a chemical reaction equation?A chemical reaction equation equation is composed of;
Reactants on the left hand sideProducts on the right hand sideThe interaction between the reactants give rise to the formation of the products. The products are the result of rearrangement of atoms in the reactants.
For the reaction; CH3SH + 4O2 → , the products of the reaction are; CO2, SO2, H2O.
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An important underlying feature of hydraulic devices is the conservation of A) pressure.
B) energy
C) momentum.
D) all of the above
E) none of the above
Answers
B) energy. An important underlying feature of hydraulic devices is the conservation of energy.
This is achieved through the transfer of energy from one point to another using a pressurized fluid, usually oil or water. The fluid is used to transmit force, and the conservation of energy ensures that the force applied at one end of the system is transferred to the other end without any loss of energy. This makes hydraulic devices highly efficient and effective for a wide range of applications, from construction machinery to aerospace engineering. Liquid fluid power is used by hydraulic machines to do operations. Heavy-duty construction vehicles are a typical illustration. Hydraulic fluid is pumped to numerous hydraulic motors and hydraulic cylinders located all around the machine in this type of machine and is pressurised in accordance with the resistance present.
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Show by dimension that the equation of motion is correct
V² = U²+2as
Answers
Answer:
i think its 56as
Explanation:
for this situation, i push on a heavy chair. suppose i push moderately on the chair, and this time the chair does move. then the strength of the force the chair exerts on me is
Answers
The strength of the force the chair exerts on me is equal in magnitude to the force I exerted on the chair, but opposite in direction. This is due to Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction.
What is the initial force that I exert on the heavy chair?The preliminary force that you exert on the heavy chair is the force which you follow to it that allows you to get it to move. The energy of this force will rely on a number of factors, such as your personal bodily power, the load of the chair, and the surface you are pushing it on. In widespread, you may want to use a mild amount of pressure so one can get a heavy chair to transport, and this force will boom because the chair receives heavier. Additionally, if you are pushing the chair on a slippery floor, you may need to apply a more potent force in order to overcome the friction among the chair and the floor.
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How much heat is needed to raise the temperature of 100.0 g of water by 85.0°C ? A. 8,500 J 35,500 J B. C. 1.1 J
Answers
The quantity of heat required to raise the temperature of the water is approximately 35,500 J.
Heat required to raise the temperature of water
The quantity of heat required to raise the temperature of the water is calculated as follows;
H = mcΔθ
H = 100 x 4.18 x 85
H = 35,530 J
Thus, the quantity of heat required to raise the temperature of the water is approximately 35,500 J.
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Both sound waves and light waves undergo the phenomenon of refraction when they travel form air to water. How is refraction of sound waves different from the refraction of light waves?
Answers
Answer:
Glass is denser than air, so a light ray passing from air into glass slows down. If the ray meets the boundary at an angle to the normal , it bends towards the normal. The reverse is also true. A light ray speeds up as it passes from glass into air, and bends away from the normal by the same angle.
Explanation:
How does newton’s law affects seatbelt??? And how does newton’s law affects airbags???
Answers
Newton's laws of motion describe how seatbelts and airbags work in a car during a collision.
Newton's first law of motion, also known as the law of inertia, states that an object at rest will stay at rest and an object in motion will continue to move at a constant velocity unless acted on by an external force. Because of this rule, a passenger in a vehicle will continue moving forward at the same speed as the vehicle before the collision.
Seatbelts provide an external force that works against the motion of the occupants and slows them down, decreasing the risk of injury. The seatbelt exerts a force that brings the occupant and the vehicle to a halt, keeping them from being thrown forward. This is why wearing a seatbelt while driving is so important.
Airbags, on the other hand, employ Newton's second law of motion, which says that force equals mass times acceleration. During a collision, the airbag quickly inflates, providing a cushioning effect that reduces the occupants' forward momentum. This lengthens the time required to bring the occupants' forward motion to a halt, reducing the force acting on them and avoiding injuries, especially to the head, chest, and neck.
To summarize, both seatbelts and airbags rely on Newton's principles of motion to provide protection in the event of a collision. Seatbelts work against the motion of the occupants, while airbags reduce the force acting on them, demonstrating the application of the first and second laws of motion, respectively.
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3. A man heads up a trail going north to see a lake. The trail is 5 miles long and it takes him
2 hours to get there. What was his velocity?
Answers
Answer:
v = 2.5 mi/h
Explanation:
The velocity of an object is defined as the time rate of change of its position. In other words the velocity of an object is just a ration of displacement covered by the object to the time taken by the object, to cover that distance. So, in this case we will use the same formula or equation to calculate the velocity of the man. The formula is as follows:
v = s/t
where,
v = velocity of the man = ?
s = distance of the trail = 5 miles
t = time required to complete the trail = 2 h
Therefore,
v = 5 miles/ 2 h
v = 2.5 mi/h
how do you determine if something is physical or chemical
Answers
We can determine whether a change is physical or chemical by analyzing the what type of change is occurred. The change in color or formation of new product is a chemical change.
What is a chemical change ?A chemical change is a type of change which include the breaking or making of chemical bonds and the formation of new products which has properties different from the initial substances.
Phase changes, change in size, shape, dissolving, conductivity etc. are physical changes. They do not involve any change in chemical bonds or the formation of new product.
The change in color indicates the formation of a new product. All the chemical reactions like the corrosion of metals reaction of metals with acids or water etc . are all chemical changes.
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Convert 1 mm to meters using scientific notation. Include units in your answer.
Answers
Answer: The answer in scientific notation with the unit included is (1 × 10^-3m.)
Explanation:
In the field of physics, when working with too large or too small numbers, such can be expressed with the use of scientific notation. This helps to eliminate huge or ambiguous numbers with significant units. It is written is such a way that the first number is greater than or equal to 1 and less than 10 which is then multiplied by a factor of 10.
Units are symbols that are used to represent a measurement For example the unit of meters is (m).
Converting 1mm to m:
1000millimeters = 1meter
1 millimetre = X
Making X the subject of formula,
X = 1 ×1 /1000
X = 0.001m
Therefore expressing X in scientific notation is
1 × 10^-3meter (m)
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Match the biomes with the corresponding animals, vegetation, or geographic location.
forest at highest latitudes:
prairies/ temperate climate:
high humidity and rainfall/ near equator:
no trees/ polar bears/ mosses:
<25cm rain/ few animals:
mostly small mammals/ many scrubs/ steppes:
abundant thick vegetation/ many species:
hardwood trees/ deer, squirrel, foxes:
Answers
This is kinda confusing. I wish u just to a screenshot of the problem but here goes...
Forest at highest latitudes- Hardwood trees/deer, squirrel, foxes
Praries/temperate climate- Mostly small mammals/scrubs/steppes
High humidity/rainfall near equator- Abundant thick vegatation/manny species
No trees/ polar bears/ mosses- 25cm rain/few animals
An object traveling a circular path of radius 5 m at constant speed experiences an acceleration of 3 m/s2. If the radius of its path is increased to 10 m, but its speed remains the same, what is its acceleration?
A. 0. 3 m/s2
B. 1. 5 m/s2
C. 6 m/s2
D. 12 m/s2
Answers
The answer is B. 1.5 m/s² is its acceleration.
The acceleration of an object moving in a circular path is given by the formula:
a = v²/r
where v is the speed of the object and r is the radius of the circular path.
In the first case, the object is moving in a circular path of radius 5 m and experiences an acceleration of 3 m/s². So we can write:
3 = v²/5
Solving for v, we get:
v = sqrt(15) m/s
Now, in the second case, the object is moving in a circular path of radius 10 m, but its speed remains the same at √(15) m/s. So the acceleration is given by:
a = v²/r = (√(15))²/10 = 1.5 m/s²
Therefore, the answer is B. 1.5 m/s²
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the sputnik 1 satellite orbited earth (mass=5.98 x 10^24 kg) in a circle of radius 6.96 x 10^6 m. what was its orbital velocity?
Answers
Answer:
v = 4.79 10³ m / s
Explanation:
For this exercise we will use the universal law of gravitation and Newton's second law
F = G M m / r²
where G is the gravitational constant, m the mass of the satellite, M the mass of the Earth, r the distance from the center of the planet to the satellite
F = m a
since the satellite has a circular path, the acceleration is centripetal
a = v² / r
we substitute
G M m / r² = m v² / r
G M / r = v²
We calculate
v² = 6.67 10⁻¹¹ 5.98 10²⁴ / 6.96 10⁶
v = √ (22.94 10⁶)
v = 4.79 10³ m / s
Answer:
7570 m/s
Explanation:
take the square root of: 6.67E-11× 5.98E24/6.96E6
Porque crees que algunas personas sienten seguridad en el dinero?
Answers
Muchas personas sienten seguridad en el dinero porque con el mismo puede tener un mator control de su vida en general.
Hay varias razones por las que algunas personas pueden sentir seguridad en el dinero:
Primero, el dinero es una forma tangible de riqueza y puede ser utilizado para comprar bienes y servicios necesarios para la supervivencia y la comodidad. En segundo lugar, el dinero también puede proporcionar una sensación de seguridad en caso de emergencias o imprevistos, ya que puede ser utilizado para pagar gastos médicos, reparaciones del hogar, etc. En tercer lugar, el dinero puede proporcionar seguridad a largo plazo a través de inversiones y ahorros para el futuro.En resumen, la seguridad que el dinero puede proporcionar está relacionada con la capacidad de satisfacer las necesidades básicas, hacer frente a situaciones de emergencia y planificar el futuro.
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How many seconds will it takes to stop？
Answers
In order to find the time it takes, first let's convert the distance from miles per hour to feet per second: calculate the acceleration using Torricelli's equation
\(40\text{ mph}=40\cdot1.467\text{ ft/s}=58.7\text{ ft/s}\)Then, let's :
\(\begin{gathered} V^2=V_0^2+2\cdot a\cdot d\\ \\ 0^2=58.7^2+2\cdot a\cdot50\\ \\ 100a=-3445.7\\ \\ a=-34.46\text{ ft/s^^b2} \end{gathered}\)Now, we calculate the time with the formula below:
\(\begin{gathered} \Delta S=V_0t+\frac{at^2}{2}\\ \\ 50=58.7t-17.23t^2\\ \\ -17.23t^2+58.7t-50=0\\ \\ t=\frac{-58.7\sqrt{58.7^2-4\cdot(-17.23)\cdot(-50)}}{2\cdot(-17.23)}\\ \\ t_1=t_2=1.7 \end{gathered}\)Therefore the time required is 1.7 seconds.
A simplified experiment showing the setup of a pith ball (a circular object) attached by a string to an insulated stand. The researcher tested how far away a charged glass rod can be held while still causing an attraction to the pith ball. Which statements accurately describe this experimental design? Select ALL that apply. A) An appropriate control could be a non-charged glass rod used for comparison. B) The dependent variable is the distance of the glass rod is from the pith ball. C) The independent variable is the distance of the glass rod is from the pith ball. D) The dependent variable is the level of attraction that the pith ball has to the charged rod. E) The independent variable is the level of attraction that the pith ball has to the charged rod.
Answers
Answer:
A, C, and D
Explanation:
An appropriate control could be a non-charged glass rod used for comparison, The independent variable is the distance of the glass rod is from the pith ball, The dependent variable is the level of attraction that the pith ball has to the charged rod are describe statements accurately describe this scientific experimental design. Thus option A, C, D are correct.
what is scientific experiment ?A scientific experiment can be defined as an investigation which involve in the process of manipulation of an independent variable in order to be able to determine the dependent variable means the effect.
The experiment used by scientists to demonstrate the condition causes or gives rise to another cause and effect, influence, behavior in a sample.
In a scientific method the experimental and mathematical techniques are used which comprises a series of steps such as systematic observation, measurement, and analysis to formulate, test and modify a hypothesis.
A hypothesis is considered to be tentative and it can be defined as a testable explanation for an observation
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The element carbon-14 can change to nitrogen 14 by losing two
neutrons. ________
O the most common isotope
O an isotope of nitrogen
O a stable isotope
O a radioactive isotope
Answers
Carbon-14 is a radioactive isotope because it undergoes a change in its atomic nucleus, losing two neutrons to become nitrogen-14. Radioactive isotopes are unstable and tend to decay over time, emitting particles and radiation.
Answer is: a radioactive isotope
The specific heat of a solid Y is 11.5 cal/g°C. A sample of this
solid at 135 K is heated to 260 K. The solid absorbs 7.90 kcals.
What is the sample of solid in grams?
g
Answers
The sample of the solid in grams is 5.5g
HOW TO CALCULATE SPECIFIC HEAT CAPACITY:
The quantity of heat absorbed or released by a substance can be calculated using the following formula:Q = m × c × ∆T
Where;
Q = quantity of heat absorbed/released (cal)
m = mass of the substance (g)
c = specific heat (cal/g°C)
∆T = change in temperature (°C)
According to the information provided in this question:Q = 7.90Kcal = 7900cal
m = ?
c = 11.5 cal/g°C
T1 = 135K = 135K − 273.15 = -138.1°C
T2 = 260K = 260K − 273.15 = -13.15°C
∆T = -13.15 - (-138.1) = 124.95°C
Hence, the mass of the substance can be calculated as follows:m = Q ÷ c∆T
m = 7900 ÷ (11.5 × 124.95)
m = 7900 ÷ 1436.93
m = 5.5grams.
Therefore, the sample of the solid in grams is 5.5g.
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Sam pulls Frodo (who has a mass of 40 kg) across the ground with a force of 10 N. If the friction between Frodo and the ground is 7 N, what is Frodo's acceleration?
0. 075 m/s2
0. 425 m/s2
120 m/s2
680 m/s2
Answers
Frodo's acceleration when pulled by Sam with a force of 10 N, considering the friction between Frodo and the ground (7 N), is 0.075 m/s².
To determine Frodo's acceleration, we need to consider the forces acting on him. The force applied by Sam is 10 N, and the friction between Frodo and the ground is 7 N.
The net force acting on Frodo can be calculated by subtracting the frictional force from the applied force: 10 N - 7 N = 3 N. According to Newton's second law of motion, the net force is equal to the product of mass and acceleration, so we can rearrange the formula to solve for acceleration: acceleration = net force / mass.
Plugging in the values, we get acceleration = 3 N / 40 kg = 0.075 m/s². Therefore, Frodo's acceleration in this scenario is 0.075 m/s².
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1.What happens when ice cubes melt in a glass?
a
No energy is transferred.
B
Heat travels from the ice to the warmer
water.
C
The water warms up due to the humidity
D
Heat is transferred from the warmer water
to the ice cubes.
Answers
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
The Correct choice is D
Heat always travel from higher temperature body to lower temperature. so we can infer that heat is transferred from the warmer water to the ice cubes which causes melting of that ice in there.
If you enjoy wasting time, is that time really wasted?
Answers
Answer:
The time you enjoy wasting, is not wasted time
Explanation:
It's not a wasting time.
What is the potential energy of a 5.0 N weight that is 3 m above the ground
Answers
Answer:
\(15\:\mathrm{J}\)
Explanation:
The potential energy of an object is given by \(PE=mgh\).
Recall that the weight of an object is equal to the force of gravity on the object. From this, we can set up the following equation and solve for the mass of the object:
\(F=mg,\\5=mg,\\m=\frac{5}{9.81}\approx 0.51\:\mathrm{kg}\)
Now we can plug in values to \(PE=mgh\) and solve:
\(PE=0.51\cdot9.81\cdot3=\fbox{$15\:\mathrm{J}$}\).
Answer:
The potential energy of the body is 15J.
Explanation:
What is potential energy?The energy possessed to a body due to position is called Potential energy.
U=mgh
Given data:weight (mg)=5Nheight (h)=3mPotential energy (U)=?by using formulaU=mgh
U=5×3=15J
Hence, the potential energy of the body is 15J.
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As a meteor moves from a distance of 16 earth radii to a distance of 2 earth radii from the center of earth, the magnitude of the gravitational force between the meteor and earth becomes
Answers
Based on the Newton's law of gravitation, the magnitude of the gravitational force between the meteor and earth becomes 64 times the original value.
How can the magnitude of gravitational force be determined?The magnitude of gravitational force can be determined from the formula of Newton's law of universal gravitation.
The formula is as follows:
F = Gm₁m₂/r²where
F is gravitational forcem₁ is the mass of the first objectm₂ is the mass of the second objectr is the distance of separationG is gravitational constantSince the mass of the meteor and the earth is constant, the only changing factor is radius
The force when the distance of 16 earth radii reduces to a distance of 2 earth radii from the center of earth is:
Let initial force be F₁ and final force be F₂
F₁ = F/16² = F/256
F₂ = F/2² = F/f
taking ratio of F₁ to F₂
F₂/F₁ = 256/4
F₂/F₁ = 64
Therefore, the magnitude of the gravitational force between the meteor and earth becomes 64 times the original value.
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