Given data
*The weight of the box is W = 500 N
*The distance of the plank from the fulcrum is d = 5 m
*The given force at a distance from the fulcrum is D = 10 m
The minimum force is required to lift the box is given by the net torque as
\(\begin{gathered} \tau=0 \\ W\times d-F\times D=0 \\ W\times d=F\times D \end{gathered}\)Substitute the known values in the above expression as
\(\begin{gathered} 500\times5=F\times10 \\ F=250\text{ N} \end{gathered}\)Hence, the minimum force is required to lift the box is F = 250 N
Which equation correctly represents the gravitational potential energy of a
system?
Answer:
I don't really understand what you are asking but... i can try to help
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
Hope this helps sorry I couldn't answer it☺️
What is the name of the shuttle with 134 successful launches
International space station is the mission of NASA. It has launched 134 successful space missions.
What is International Space Station ?International space station is a huge place in the space but in the close orbit with all possible facilities for astronauts , scientists and others
What is NASA ?The National Aeronautics and Space Administration (NASA) is an acronym for the National Aeronautics as well as Space Administration. NASA was established as a division of the United States government on October 1, 1958. NASA is just in charge of all research and technology related to aviation and space in the United States.
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Help me out please thank you
Answer:
Similarly, the law of conservation of energy states that the amount of energy is neither created nor destroyed. For example, when you roll a toy car down a ramp and it hits a wall, the energy is transferred from kinetic energy to potential energy.
Explanation: To be more clear, your answer would be A
arun gets a lift to school in his mothers car the traffic is heavy so the average speed for the journey is 40km/h how many minutes does it take arun to get to school
Answer:
Explanation:
Distance = speed *time
as per the question, THE average speed is 40Km/h
time1 = S/40,time2 = S/40
now , time1 +time2
s/40+s/40
The time taken for Arun's journey can be calculated by dividing the distance to his school by the average speed. Assuming the school is 20km away, at an average speed of 40km/h, it would take Arun 30 minutes to reach school.
Explanation:The question involves applying the concept of speed as being the distance traveled divided by the time it takes to get to the destination. To determine how long Arun's journey takes taking into account the average speed of 40km/h, we need to know the distance to school. However, if we assume the distance as 'd' kilometers, the time taken can be found by the formula: time = distance/speed
Let's say, for example, Arun’s school is 20 kilometers away. Using the formula time = distance/speed, we substitute the distance and speed into the formula: time = 20km / 40km/h = 0.5 hours. To convert this time into minutes, we multiply by 60 (since there are 60 minutes in an hour), which gives us 30 minutes. Therefore, if Arun’s school was 20 kilometers away, his journey would take him 30 minutes.
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What is SI system and SI unit?
Answer:
nternational System of Units (SI), French Système International d'Unités, international decimal system of weights and measures derived from and extending the metric system of units. Adopted by the 11th General Conference on Weights and Measures (CGPM) in 1960, it is abbreviated SI in all languages.
Explanation:
A globe (model of the Earth) is a hollow sphere with a radius of 16 cm. By wrapping a cord around the equator of a globe and pulling on it, a person exerts a torque on the globe of 120 N • m for 1.2 s. What angular momentum does the globe have after 1.2 s?
Answer:
144 kg m^2/s
Explanation:
Which explains how to calculate the average acceleration of a moving object?
1.Divide the change in velocity by the change in time.
2.Multiply the change in time by the change in velocity.
3.Divide the change in time by the change in velocity.
4.Subtract the velocity from the change in time.
Answer Multiply the acceleration by time to obtain the velocity change: velocity change = 6.95 * 4 = 27.8 m/s . Since the initial velocity was zero, the final velocity is equal to the change of speed.
v, start subscript, a, v, g, end subscript, equals, start fraction, delta, x, divided by, t, end fraction, equals, start fraction, minus, 4, start text, space, m, end text, divided by, 5, start text, space, s, end text, end fraction, equals, minus, 0, point, 8, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction
The minus sign indicates the average velocity is also toward the rear of the plane.
The average velocity of an object does not tell us anything about what happens to it between the starting point and ending point, however. For example, we cannot tell from average velocity whether the airplane passenger stops momentarily or backs up before he goes to the back of the plane. To get more details, we must consider smaller segments of the trip over smaller time intervals. For instance, in the figure below, we see that the total trip displacement,
Answer:
bdjdiosfjigjdigjtrht <3
Explanation:
Electric potential differences are measured in _____.voltsjoulesnewtonscentimeters
The correct unit used to measure the electric potential difference is Volts.
Joules is used to measure energy.
Newtons is used to measure forces.
Centimeters is used to measure distance.
Therefore the correct option is the first one.
The density of red wood is 15.27 g/cm'. A piece of red wood has the volume of 18.721 cm', what is the
mass?
Explain the mechanism that is responsible for the formation of snowflakes.
The mechanism that is responsible for the formation of snowflakes is the nucleation of ice crystals.
What is a Snowflake?This is defined as a piece of snow which falls from the sky as a result of an extremely cold climate condition and is common in the arctic regions of the world.
Snow flakes are formed when ice crystals stick together to form the flakes which usually has a dust or pollen being formed around the area being talked about.
This is also regarded as a type of precipitation such as rain etc and is therefore the most appropriate choice.
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what is virtual image
Answer:
Virtual images are images that are formed in locations where light does not actually reach. Light does not actually pass through the location on the other side of the mirror; it only appears to an observer as though the light is coming from this location.
Explanation:
What would happen if there were no soundboxes (resonances) in musical instruments?
Imagine that you are working with a NASCAR team to design coilover shocks for a race car. Given the minimum allowed car+driver weight, you have modeled each shock as a spring-mass system with a mass of 175 kg (one quarter of the shared weight) with spring constant of 30,000 N/m. Rewrite the spring-mass model as a first order system. For each type below, do the following: *Choose a value for the damping coefficient b of the inner shock fluid, *Graph your solution: phase plane and x vs t (pplane.jar/Bluffton) given the initial condition x(0)=0, x'(0)=1 *Write down the coefficient matrix (since the system is linear) and determine its eigenvalues. Do they match the exponential roots? *Make a list of pros and cons for the driver's experience while racing with this kind of damping. 1) Significantly Overdamped 2) Slightly Overdamped 3) Critically Damped 4) Slightly Underdamped (so that b^2>2mk) 5) Significantly Underdamped (so that b^2<2mk) 6) (Nearly) Undamped Then, select the best type for NASCAR racing.
The best type of damping would be the slightly overdamped or critically damped system.
To rewrite the spring-mass model as a first-order system, let's define the state variables:
x1 = x (displacement)
x2 = x' (velocity)
The governing equations for the system can be expressed as:
mx2' + bx2 + k*x1 = 0
Plugging in the given values, where m = 175 kg and k = 30,000 N/m, we can rewrite the equation as:
175x2' + bx2 + 30000*x1 = 0
Now, let's analyze each type of damping coefficient and its effect on the system:
Significantly Overdamped:
For this case, let's choose b = 2000 Ns/m. The coefficient matrix for this system is:
[0 1]
[-171.43 -11.43]
The eigenvalues of this matrix are -10 and -1. The exponential roots do not match these eigenvalues.
Slightly Overdamped:
Let's choose b = 1000 Ns/m. The coefficient matrix for this system is:
[0 1]
[-242.86 -5.71]
The eigenvalues of this matrix are approximately -6.144 and -0.008. They do not match the exponential roots.
Critically Damped:
In this case, the damping coefficient b = 2 * √(k * m). The coefficient matrix is:
[0 1]
[-171.43 -5.71]
The eigenvalues of this matrix are -6.144 and -0.008, which match the exponential roots.
Slightly Underdamped:
Let's choose b = 200 Ns/m. The coefficient matrix for this system is:
[0 1]
[-300.57 -1.14]
The eigenvalues of this matrix are approximately -0.571 and -0.573, which do not match the exponential roots.
Significantly Underdamped:
For this case, let's choose b = 50 Ns/m. The coefficient matrix is:
[0 1]
[-342.86 -0.29]
The eigenvalues of this matrix are approximately -0.289 and -0.005, which do not match the exponential roots.
(Nearly) Undamped:
Let's choose b = 5 Ns/m. The coefficient matrix for this system is:
[0 1]
[-348.57 -0.029]
The eigenvalues of this matrix are approximately -0.029 and -0.003, which do not match the exponential roots.
Pros and cons for the driver's experience while racing with each type of damping:
Significantly Overdamped: Pros - Smooth ride over bumps; Cons - Reduced responsiveness and handling.
Slightly Overdamped: Pros - Improved ride comfort; Cons - Slightly reduced responsiveness.
Critically Damped: Pros - Optimal balance between ride comfort and responsiveness.
Slightly Underdamped: Pros - Enhanced responsiveness and handling; Cons - Increased oscillations and reduced stability.
Significantly Underdamped: Pros - Very responsive suspension; Cons - Severe oscillations and instability.
(Nearly) Undamped: Pros - Maximum responsiveness; Cons - Excessive oscillations and instability.
Considering the requirements of NASCAR racing, where high speeds and precise control are crucial, the best type of damping would be the slightly overdamped or critically damped system.
These options provide a balance between ride comfort and responsiveness, allowing the driver to have better control over the car without sacrificing stability.
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Use the concept of inertia to explain why Newton’s first law of motion is accepted as true
If the plates are pulled twice as far apart, but are kept connected to the battery, the electric field between the plates will be
Electric field between two parallel plates will be halved as it was before.
What is the electric field between two plates:
The electric field lines of two parallel plates can be represented by straight lines perpendicular to both plates surfaces while carrying arrows that point from +Q plate A toward -Q plate B.
we know that,
The electric field between plates:
E=V / d
where,
V is battery voltage
d is separation distance between plates.
now If the plates are pulled twice as far apart, but are kept connected to the battery,
the separation distance becomes,
d' = 2d
so the new electric field will be:
E' = V / d'
substituting the values,
E' = V / ( 2d )
E' = 1/2 ( V /d )
E' = 1/2 E
hence we can conclude that
Electric field between plates will be halved as it was before.
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a total of 10.0j of work is done in accelerating a 20-n object from rest across a horizontal frictionless table. what is the total kinetic energy gained by the object
The total kinetic energy gained by the object when accelerating a 20-n object from rest across a horizontal frictionless table is 10.0 J.
How do you determine the total kinetic energy?To determine the total kinetic energy gained by the object, we can use the work-energy principle, which states that the work done on an object is equal to the change in kinetic energy of the object.
Work done = change in kinetic energy
W = Kf - Ki
where
W = work done (10.0 J)
Kf = final kinetic energy
Ki = initial kinetic energy (0 J, since the object is at rest)
Given the information provided, we know that a total of 10.0 J of work is done in accelerating the 20-n object from rest.
So,
Kf = W + Ki
Kf = 10.0 J + 0 J
Kf = 10.0 J
Therefore, the total kinetic energy gained by the object is 10.0 J
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considering that it deals with issues and phenomena at the fringes of established science, protoscience is also called
deals with issues and phenomena at the fringes of established science, protoscience is also called "Fringe Science".
An unscientific or pseudoscientific topic of study that eventually develops into a science is referred to as protoscience (plural protosciences). Alchemy is better referred to as a type of "proto-science" than as a separate science in and of itself. This is due to the fact that, despite the fact that many of the discoveries and hypotheses developed by alchemists were based on scientific fact, they were frequently interpreted in terms of "magic" or supernatural intervention. Prior to the development of the current scientific method, there were disciplines of study known as protosciences. The term "fringe science" describes theories that are very speculative or rely on premises that have already been debunked. Ideas that drastically diverge from an established or mainstream theory are referred to as fringe theories. A fringe theory is not the consensus view or the considered viewpoint of a respected minority.
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when a sodium atom is in its lowest energy excited state, it can emit light. why?
When a sodium atom is in its lowest energy excited state, it can emit light because of a phenomenon known as spontaneous emission. In this process, an excited electron within the atom drops down to a lower energy level, releasing the excess energy in the form of a photon (light).
The amount of energy released by the electron determines the frequency of the emitted photon, which corresponds to a specific color of light.
In the case of sodium, the electron that is excited to its lowest energy state has an energy level that is slightly higher than the ground state. When this electron drops back down to the ground state, it releases energy in the form of a yellow-orange photon with a wavelength of about 589 nanometers.
This process is fundamental to the emission of light in many natural and artificial light sources, including fluorescent bulbs, lasers, and even stars. It is also essential for the absorption of light in photosynthesis and the transmission of information in optical fiber communication.
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2. How much heat is needed to vaporize 1.22 kg of helium?
It would take 6416.8 kJ of heat to vaporize 1.22 kg of helium at its boiling point.
What is helium?
Helium is a chemical element with the symbol He and atomic number 2.
The amount of heat needed to vaporize a substance can be calculated using the formula:
Q = m * ΔHv
Where
Q is the amount of heat needed M is the mass of the substance being vaporized ΔHv is the heat of vaporization for the substanceFor helium, the heat of vaporization is 21.1 kJ/mol at its boiling point of -268.9°C. The molar mass of helium is 4.003 g/mol.
To calculate the amount of heat needed to vaporize 1.22 kg of helium, we first need to convert the mass to moles:
1.22 kg He * (1000 g / 1 kg) * (1 mol / 4.003 g) = 304.4 mol He
Then, we can use the formula to calculate the amount of heat needed:
Q = m * ΔHv = 304.4 mol * 21.1 kJ/mol = 6416.8 kJ
Therefore, it would take 6416.8 kJ of heat to vaporize 1.22 kg of helium at its boiling point.
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a battery causes a current of 2.0 A to flow through a lamp. the power used by the lamp is 12 watts. what is the voltage (i asked this before and never got the answer, i need the answer soon)
Answer: 6V
Explanation:
Calculate the acceleration of the car.
Show clearly how you work out your answer and give the unit.
i. The change in the velocity of the car is 12 m/s
ii. The acceleration of the car is 0.2 m/s²
i. How do i determine the change in the velocity of the car?The change in the velocity of the car can be obtained as follow:
Initial velocity = 20 m/sFinal velocity (v) = 32 m/sChange in velocity =?Change in velocity = Final velocity - initial velocity
= 32 - 20
= 12 m/s
How do i determine the acceleration?The acceleration of the car can be obtained as illustrated below:
Change in velocity = 12 m/sTime = 60 secondsAcceleration =?Acceleration = change in velocity / time
= 12 / 60
= 0.2 m/s²
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The size of a balloon increases when the pressure inside it increases. The balloon gets bigger when it is left in the heat from the Sun. Why does this happen?
Explanation:
This happens because the gas inside tend to expand because its temperature gets higher.
This is why the balloon that is put in a freezer for too long tend to gets smaller, because the gas temperature that is inside the balloon decreases.
(you can try it at home)
It is related to the temperature of the gas.
f betelgeuse has a mass that was 25 times that of the sun, how would its average density compare to that of the sun? use the definition of density = (mass/volume), where volume is that of a sphere
This value is much less than the density of the Sun, which is approximately 1,400 kg/m³. This is because even though Betelgeuse is much more massive than the Sun.
Density is a measure of how much matter is packed into a given space. It is defined as mass divided by volume. When talking about stars, density can be thought of as how tightly packed the star's mass is into its volume. A star with a higher density has its mass more tightly packed into its volume than a star with a lower density.Let's calculate the density of Betelgeuse and compare it to that of the Sun.
If Betelgeuse has a mass that is 25 times greater than the Sun, we can use that information to find its average density. However, we need to first determine the volume of Betelgeuse. We can do this using the formula for the volume of a sphere, which is given by:V = (4/3)πr³where V is the volume of the sphere, π is the constant pi (approximately equal to 3.14159), and r is the radius of the sphere.
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a spring, stiffness constant, ks hangs vertically from a fixed support. you attach a block of mass m to the spring and lower it very slowly until it hangs freely from the spring, which has an extension, s. The block is the system. Acceleration due to gravity is g downward. Ignore air resistance. Explain your answer in each questionsWhat is the work, Ws done by the spring ?a. -(mg)2/(2ks)b. +(mg)2/(2ks)c. -(mg)2/(ks)d. +(mg)2/(ks)e. None of the above
The work done by the spring is -(mg)2/(2ks). Therefore, the correct option is A.
The work done by the spring, Ws, is determined by the force of the spring and the displacement of the block. The spring has a stiffness constant, ks, so the force exerted by the spring is ks multiplied by the displacement, s.
The block has a mass, m, and is in the presence of acceleration due to gravity, g. The work done by the spring is therefore
Ws = -(1/2) x ks x s² = -(1/2) x ks x (mg/ks)² = -(mg)²/(2ks).
Therefore, the answer is A: -(mg)2/(2ks)
The work done by the spring can be expressed in terms of the force of the spring and the displacement of the block. The force of the spring is proportional to the stiffness constant, ks, and the displacement of the block is dependent on the mass, m, and acceleration due to gravity, g.
The work done by the spring is equal to the negative of one-half of the stiffness constant multiplied by the displacement squared. Therefore, the answer is -(mg)2/(2ks).
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Solar radiation at the surface of the earth is about 700 W/m2. How much power is incident on a roof of dimensions 12.96 m by 20.43 m?
Our first step is to find out the area of the roof, which is:
\(A=12.96*20.43=264.7728m^2\)We can then obtain the power by multiplying it to the solar radiation:
\(P=264.7728*700=185340.96W\)Then, our final answer is P=185340.96W
Analyze the chemical reaction below
16 g CH4 + 64 g 02 - 44 g CO2 + 36g H2O
Explain the law of conservation of mass and describe how the equation represents the law of conservation of mass.
Answer:
Please find the answer in the explanation.
Explanation:
Given that 16 g CH4 + 64 g 02 - 44 g CO2 + 36g H2O
To explain the law of conservation of mass and describe how the equation represents the law of conservation of mass, let me first start from law.
The law state that: mass can neither be created nor destroyed.
The mass of each element at the reaction side must be equal or the Same with the magnitude of mass at the product
The equation represents the law of conservation of mass because the mass of molecules at the right hand side is equal to or balance with the molecules at the left hand side. For example, the number of Oxygen, and othe elements are the at both side.
Dos resistencias de 30 y 20 Ω se conectan en seria a un generador que tiene una diferencia de potencial de 20 V entre sus bornes. a. Determina la resistencia equivalente de la asociación b. Dibuja el circuito y coloca un amperímetro que indique el valor de la intensidad de la corriente y unos voltímetros que muestren la diferencia de potencial entre los extremos de las resistencias ¿Qué valores muestran estos aparatos?
Answer:
V = 12V, V = 8V
Explanation:
a) In this series circuit the equivalent resistance is
Req - R1 + R2
Req = 30 + 20
Eeq = 50 Ω
b) see attached
c) the circuit current is
i = V / Req
i = 20/50
i = 0.4 A
voltages are>
V = 0.4 30
V = 12V
V = 0.4 20
V = 8V
the results of this experiment allow one to find m/q in terms of the experimentally measured quantities such as the particle radius, the magnetic field, and the applied voltage. what is m/q ?
To calculate m/q for a particle, simply substitute the given values for V, r, and B into the formula and solve for m/q.
Based on the terms provided, I understand that you want to find the mass-to-charge ratio (m/q) of a particle using the experimentally measured quantities, such as particle radius, magnetic field, and applied voltage. Here's the formula to find m/q:
\(m/q = (2 * V * r^2) / (B^2 * r^2)\)
Where:
- m is the mass of the particle
- q is the charge of the particle
- V is the applied voltage
- r is the particle radius
- B is the magnetic field.
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Can some one please explain how to read this and what the answer would be?
Answer:
4 to 5
Explanation:
Can someone help me with this ?
The first image shows a speed - time relation in which the speed is zero and the the object is not moving. The second graph shows a constant velocity and the third one shows an increasing velocity with time.
What is speed - time graph ?A speed - time graph represents the change in speed of an object with respect to the time. The speed can be increasing with time or decreasing. Speed of an object is dependent on the path through which it is moving and the mass, frictional force etc.
Here, the first image shows no no values for the y - axis and and thus, the image is not moving. The second graph shows a parallel line which is showing there is no change in speed with the time. This indicates that the object is moving with a constant speed.
The graph C plots an increasing speed with respect to time. The straight line diagonal to the x, y axis indicates the increasing speed.
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