A 200-kg machine is attached to the end of a cantilever beam of length L=

2. 5 m, elastic modulus E= 200x109 N/m2

, and area moment of inertia I =

1. 8x10–6 m4. Assuming the mass of the beam is small compared to the mass

of the machine, what is the stiffness of the beam?​

Answers

Answer 1

The cantilever beam has a stiffness of 2074.4 N/m, meaning it needs 2074.4 N of force to produce a unit of deflection. The beam's mass is assumed to be insignificant compared to the machine's mass, which is valid for calculating its stiffness.

The stiffness of a beam is defined as the amount of force required to produce a unit of deflection. In this case, we need to find the stiffness of the cantilever beam given the machine's mass, the beam's length, elastic modulus, and area moment of inertia.

To determine the stiffness, we can use the equation:

Stiffness (k) = \((3 \times E \times I) / L^3\)

Where E is the elastic modulus, I is the area moment of inertia, and L is the length of the beam. Substituting the given values, we get:

\(k = (3 \times 200 \times 10^9 N/m^2 \times 1.8 \times 10^{-6} m^4) / (2.5 m)^3\)

Simplifying this equation gives:

k = 2074.4 N/m

Therefore, the stiffness of the cantilever beam is 2074.4 N/m, which means that it requires a force of 2074.4 N to produce a unit of deflection. It is important to note that the mass of the beam was assumed to be negligible compared to the mass of the machine, which is a valid assumption for the calculation of the beam's stiffness.

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Related Questions

Based on what you have seen in the simulation and your knowledge of proportionality relationships learned this month, what is the relationship between temperature and peak wavelength?

Answers

Answer: They are inversely proportional

Explanation:

wiens displacement law assets that for the black body radiation the curve for distinct temperature will peak at distinct wavelength are varying inversely proportional to the temperature

The relationship between temperature and peak wavelength they are inversely proportional.

Wien's displacement law asserts that for the black-body radiation the curve for distinct temperatures will peak at distinct wavelengths are varying inversely proportional to the temperatures.

Wien's Law given as

\(\lambda_{\max }=\frac{0.29}{T}\)

Where

T=Temperature (In Kelvin unit)

λ(max)= Peak wavelength (In cm unit)

Therefore we can say that wavelength and temperature are inversely proportional.

This formula reads: (max) = peak wavelength (cm) Temperature is T. (K) What is the link between temperature and peak wavelength? Please explain using the simulation results and the proportionality relationships you have learnt about this month. They are proportionate in a direct way.

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Which ball has the greater acceleration at the instant of release?
Ball thrown upward or downward

Answers

They're equal.

Ignoring air resistance, any object you're not holding onto has the same, constant acceleration ... 9.8 m/s^2 down ... from the moment it leaves your hand until the moment it hits the ground.

It doesn't matter how heavy the object is, and it doesn't matter whether you throw it up, down, or sideways, or just let go and let it drop.

Compare the gravitational potential energy when the particle is launched to the potential energy when the particle is at the peak of its trajectory: a) they are equal b) the potential energy at the peak is greater than the gravitational potential energy when launched c) the gravitational potential energy when launched is greater than the potential energy at the peak d) it depends on the mass of the particle

Answers

The gravitational potential energy when launched is greater than the potential energy at the peak.  we can explain that gravitational potential energy is the energy possessed by an object due to its position in a gravitational field. When a particle is launched upwards,

the gravitational potential energy at the peak is still less than the potential energy when the particle was launched. This is because the gravitational potential energy is directly proportional to the height from the reference point (usually the ground). At the peak of the trajectory, the particle has a greater distance from the ground and hence a higher potential energy. But at the same time, it also has a lower distance from its starting point, and therefore, a lower potential energy compared to when it was launched.


When the  particle is launched, it has an initial height (h1), and when it reaches the peak of its trajectory, it has a final height (h2).  Since the particle has risen to the peak of its trajectory, it's clear that h2 > h1. GPE1 = m * g * h1 (at launch) are   GPE2 = m * g * h2 (at peak) As h2 > h1 and mass (m) and gravity (g) remain constant, it is evident that GPE2 > GPE1. Therefore, the potential energy at the peak is greater than the gravitational potential energy when launched.

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how does the voltage across the source compare to the sum of the potential drops across the individual resistances?

Answers

The voltage measured across the voltage source not equal to the sum of the voltages measured across the resistor and across the capacitor because the voltage across the resistor and capacitor are not in phase.

Current through the resistor = Current through the capacitor

VR / R = VC / XC

Here, the capacitive resistance is considered for further calculations.

XC = 1 / 2 π f C

where,

XC = Capacitive reactance

f = Frequency

C = Capacitance

Therefore, with this we can conclude that the voltage across the source compare to the sum of the potential drops across the individual resistances is always inversely proportional. This is also due to the capacitance effect.

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he event that marks the end of a star's evolutionary life before becoming a white dwarf is
a. helium flash
b. a nova
c. a Type I supernova
d. the depletion of hydrogen in the core
e. a planetary nebula

Answers

The event that marks the end of a star's evolutionary life before becoming a white dwarf is a planetary nebula. So, option E is correct.

A planetary nebula is characterized by cosmic rays of gas and dust surrounding a dying star. This dying star becomes a white dwarf after the complete depletion of hydrogen in the core.

It gets its name from a scientist who described the gases to be looking like two planets around a dying star. Thus, it's called planetary nebulae. This marks the final stage of a dying star that becomes a white dwarf. It consists of the outer layers of the star.

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C. Density Determination - Measurement (pyrex beaker, ruler or meter stick, wood block) 1) Design an experiment to find out the density of the wood block using only a beaker, water, and a meter stick. Do not use a weighing scale for this part. 2) Design a second, different experiment to measure the density of the wood block. You can use a weighing scale for this part. NOTE: The order in which you do these two experiments will affect how their results agree with one another; hint - the block is porous

Answers

1) Experiment to find the density of the wood block without using a weighing scale:

a) Fill the pyrex beaker with a known volume of water.

b) Measure and record the initial water level in the beaker.

c) Carefully lower the wood block into the water, ensuring it is fully submerged.

d) Measure and record the new water level in the beaker.

e) Calculate the volume of the wood block by subtracting the initial water level from the final water level.

f) Divide the mass of the wood block (obtained from the second experiment) by the volume calculated in step e to determine the density of the wood block.

2) Experiment to measure the density of the wood block using a weighing scale:

a) Weigh the wood block using a weighing scale and record its mass.

b) Fill the pyrex beaker with a known volume of water.

c) Measure and record the initial water level in the beaker.

d) Carefully lower the wood block into the water, ensuring it is fully submerged.

e) Measure and record the new water level in the beaker.

f) Calculate the volume of the wood block by subtracting the initial water level from the final water level.

g) Divide the mass of the wood block by the volume calculated in step f to determine the density of the wood block.

Comparing the results from both experiments will provide insights into the porosity of the wood block. If the density calculated in the first experiment is lower than in the second experiment, it suggests that the wood block is porous and some of the water has been absorbed.

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Given the reaction: N2(g) +2O2(g) ⇌ 2NO2(g) The forward reaction is endothermic. Determine which of the following changes would result in more reactant being produced. I. Increase NO2 II. Increase O2 III. Add a catalyst IV. Increase the temperature V. Decrease the pressure A. I and V B. II and IV C. II, III, and V D. All

Answers

Answer:

A. I and V

Explanation:

According to Le Chatelier's Principle, increasing the product side will cause the equilibrium to shift back towards the reactant side, so I is true.  By the same principle, II is false.

For gases, decreasing the pressure will cause the equilibrium to shift towards the side with higher number of moles.  So V is true.

The reaction is endothermic, so increasing the temperature will shift the equilibrium to the products, so IV is false.  And adding a catalyst has no effect on the equilibrium, so III is false.

The changes would result in more reactants being produced will increase NO₂ and decrease the pressure. Then the correct option is A.

What is a chemical reaction?

The chemical reaction is the reaction between two reactants that led to the formation of products.

The products are substances that form after the reaction. The reactants are the substances that are original materials.

Given the reaction: N₂(g) +2O₂(g) ⇌ 2NO₂(g)

The forward reaction is endothermic. Increasing the product side will cause the equilibrium to shift back towards the reactant side, so I is true.  

By the same principle, II is false.

For gases, the decrease in pressure will shift the equilibrium toward the high number of moles side.  

So V is true.

The reaction is endothermic, so increasing the temperature will shift the equilibrium to the products, so IV is false.  Adding a catalyst has no effect on the equilibrium, so III is false.

The changes would result in more reactants being produced will increase NO₂ and decrease the pressure.

Then the correct option is A.

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Fill in the information below using the knowledge you just learned of the periodic table.

1. What is the name of this element?

2. What is the atomic number of this element?

3. What is the atomic mass of this element?

4. What is the symbol for this element?


Fill in the information below using the knowledge you just learned of the periodic table.1. What is the

Answers

1. Chromium
2. 24
3. 51.996
4. Cr

If you raise the tension on the string by a factor of 4 whiledriving it at a fixed frequencyGroup of answer choicesA. The wavelength gets shorter by a factor of 2.B. The velocity gets larger by a factor of 2.C The mass per length increases by a factor of 2.D All but C

Answers

When driving a string at a given frequency while increasing the tension by a factor of 4, the velocity increases by a factor of 2. Option 2 is Correct.

As a result, the frequency doubles. The frequency of a vibrating body reduces with increasing mass, but increases with increasing tension. The frequency rises as the tension rises because the wave speed increases.

Since frequency closely correlates with the square root of stress, when tension rises, frequency rises as well. As you point out, increasing the tension shortens the wavelength in air but does not, contrary to what the book claims, lengthen the wavelength on the string. Option 2 is Correct.

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Correct Question:

If you raise the tension on the string by a factor of 4 whiledriving it at a fixed frequency: Group of answer choices

A. The wavelength gets shorter by a factor of 2.

B. The velocity gets larger by a factor of 2.

C The mass per length increases by a factor of 2.

D All but expect C.

If someone were to be researching and studying similarities between our sun and a neighboring star, what kind of scientific investigation would they be conducting

Answers

Answer:

a

Explanation:

because there both in the solar system

There are billions of galaxies in the universe and each contains trillions of stars which are different in size, distance from the earth, brightness etc.When we scientifically investigate about this we can obtain the stars of similarity to sun in brightness and size.

What is galaxies?

Galaxies are a group of stars, dust and dark matter joined together by the force of gravitation. Three trillions of stars in each galaxies. Some stars forms a group of certain  size and shape and number also they are called constellations.

Sun is the closest star to earth. Thus sunlight is the major source of energy in earth. Sunlight reaches the earth surface within a time of 8 minute and 6 seconds.

The star which nearest to sun is named proximacentory which far from the earth and we can see it as spot of light in the sky. There are many more stars which are giants are more brighter than sun.

The brightness and luminosity is determined based on the distance from the earth. Which can be calculated in terms of light years. Each star has an age and length of life. After that the star may die still their light energy can be seen in sky because their light takes more years to reach here.

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A student left a bar of chocolate in the sun on a hot day. As the chocolate melted, which property changed?
A. its mass
B. its shape
C. its weight
D. its composition

Answers

The property changed was its weight

The melted chocolate weighs the same, has an identical mass, and is still composed of chocolate.

Now it’s just melted chocolate instead of a candy bar and has thus changed shapes.

Which information is needed to determine the speed of an object?
OA. the weight of the object and the distance it travels
OB. the pull of gravity on the object and the amount of time it travels
OC. the inertia of the object and the amount of force that is pushing it
OD, the distance the object travels and the time it takes to travel that distance

Answers

Answer:

C: the inertia of the object and the amount of force that is pushing it.

A charge of 8.4 × 10–4 C moves at an angle of 35° to a magnetic field that has a field strength of 6.7 × 10–3 T.

If the magnetic force is 3.5 × 10–2 N, how fast is the charge moving?

9.1 × 10–5 m/s
1.3 × 10–4 m/s
7.6 × 103 m/s
1.1 × 104 m/s

Answers

Answer:

the correct answer is D

Explanation:

What is the acceleration of a rocket with 500N of thrust force and a mass 10kg?

Answers

Explanation:

F=ma

500N=10×a

a=500÷10=50m/s²

PLEASE GIVE BRAINLIEST

Answer:

50m^2

Explanation:

acceleration=f/m

A block of weight 5000 N is pushed up a slope by a force of 250 N. Assume there is no friction. Calculate:
a) the actual mechanical advantage
b) the velocity ratio
c) the length of the slope if the height of the slope is 10 m

Answers

The actual mechanical advantage, the velocity ratio, and the length of the slope if the height of the slope is mathematically given as

A=20VR=0.05x=20m

What are the actual mechanical advantage, the velocity ratio, and the length of the slope if the height of the slope is 10 m?

Question Parameters:

A block of weight 5000 N is pushed up a slope by a force of 250 N.

Generally, the equation for the actual mechanical advantage  is mathematically given as

A=Fout/Fin

A=5000/250

A=20

b)

the velocity ratio is given by the distance moved by the effort divided by the distance moved by the load

Therefore

VR=250/5000

VR=0.05

c)

the length of the slope if the height of the slope is 10 m

Assume the slope is at an angle of 30

Hence

sin 30=10/x

x=20m

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Answer:

A) as you know AMA is equal to VR so the solution is 5000N/250N which is equal to 0.05with no units

nt: what is the unit of measurement for work?)
A body builder lifts a 200kg barbell up 2m into the air. How
much work does the bodybuilder do?

Answers

Answer:

The unit of measurement of work is Nm which is also called as Joule and written J.

work done by the body builder against gravity = 3920J

Explanation:

work = force x displacement

force on barrel = 200 x gravity = 200 x 9.8 = 1960 N

displacement = 2m

work done against gravity = 1960 x 2 = 3920 J

A solid right circular cylinder of a substance has a radius 10. 0 cm and a height 12. 0 cm. The mass of the cylinder is 4. 00 kg. What is the density of the substance?

Answers

The density of the substance is 1.06 g/cm³.

What is density?

The mass-to-volume ratio of a substance is known as its density.

It is represented as

Density = Mass/Volume

Given,

Radius = 10 cm

Height = 12 cm

Mass = 4 kg = 4000 g

We know that the volume(V) of a solid right circular cylinder is πr²h.

Putting the given values, we get

V = (22/7)(10)²(12),           {π = 22/7}

V = (22×1200)/7

V = 3771.4 cm³

Now substituting the values of mass and volume in the formula for density,

Density = 4000/3771.4 g/cm³

Density = 1.06 g/cm³

Therefore, the density of the substance is 1.06 g/cm³.

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Question 7 (2 points)
Rachel performed an experiment testing the hours students slept with their
performance on a test. In this experiment, the hours that they slept was the_____ variable, while the grade they got on
the test was the
_____ variable.

Answers

This has to do with independent and dependent variables. The independent variable is what affects the dependant variable, so the question is, does a students mark on a test affect their hours of sleep or does their hours of sleep affect their test results? Which one makes more sense? I would say the latter.

Can someone PLEASE help me with this. Anyone that’s good in physics pls

A simple circuit has three resistors connected in series. The resistors are 14 ohms 12 ohms and 9 ohms. What is the total resistance of the circuit?

Answers

Answer:

RT = 35 Ohms

Explanation:

Let the three resistors be R1, R2 and R3 respectively.

Given the following data;

R1 = 14 Ohms

R2 = 12 Ohms

R3 = 9 Ohms

To find the total resistance, RT;

Since all the resistors are connected in series, the total resistance is equal to the sum of all three resistance of the resistors.

RT = R1 + R2 + R3

Substituting into the equation, we have

RT = 14 + 12 + 9

RT = 35 Ohms.

Therefore, the total resistance of the circuit is 35 Ohms.

A student places a block on a table and hangs one mass from the block. The student lets the block go and observes the block accelerate toward the end of the table where the mass was located. The student then places the block on the table and hangs a second, larger mass from the opposite end of the block. The block accelerates in the opposite direction from the first trial. What does this experiment demonstrate? Answer:​

Answers

Magnitude of acceleration

Explanation:

We know that acceleration can increase depending in the force applied on an object, any object with a greater mass will apply a greater force. F = M(a).

This Newton's second law establishes a relationship between the summary of the external force and the acceleration of the body,  It is demonstrated with the change in the direction and magnitude of the acceleration in the experiment

Newton's second law establishes a relationship between the net force and the acceleration, according to the expression

          ∑ F = m a

where ∑F is the sum of the external forces, m the mass and the acceleration of the body

In this case we have an initial situation, the block and a baking mass, therefore an acceleration is created towards the hanging mass given by

           W₁ = M₁ g

            F = ma

          M₁ g = m a

          a = \(\frac{M_1}{m} \ g\)

where W₁ and M₁ are the weight and the masses of the mass of the body hanging under the acceleration of gravity.

In the second case, perhaps you have two masses, one on each side,

         ∑ F = W₁ -W₂

          ∑F = (M₁ -M₂) g

let's use Newton's second law

          (M₁ -M₂ ) g = m a

           a = \(\frac{M_1 - M_2}{m} \ g\)

We can see that in the second case the acceleration depends on the difference of the hanging masses. This is a proof of Newton's second law where the effect on acceleration is due to the sum of all external forces and not of each force individually.

In conclusion with the realization of this experiment  demostrate the valid true of Newton's second law

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An elaborate pulley consists of four identical balls at the ends of spokes extending out from a rotating drum. A box is connected to a light, thin rope wound around the rim of the drum. When it is released from rest, the box acquires a speed V after having fallen a distance d. Now the four balls are moved inward closer to the drum, and the box is again released from rest. After it has fallen a distance d, will its speed be equal to V, greater than V, or less than V? Show or explain why.

Answers

Answer:

its speed will be less than V

Explanation:

When the ball falls a distance d, its final kinetic energy plus rotational kinetic energy of the drum equals its initial potential energy.

K = U

With its speed V at the end of d, we have

1/2mV² + 1/2Iω² = mgd where I = rotational inertia of drum and balls, ω = angular speed of drum and balls and m = mass of box

1/2mV² + 1/2Iω² = mgd

1/2mV² = mgd - 1/2Iω²

V² = [2(mgd - 1/2Iω²)/m]

V = √[2(mgd - 1/2Iω²)/m]

When the four balls are moved inward closer to the drum, their rotational inertia increases and also its angular speed which thus causes an increase in rotational kinetic energy. But, since the box still falls the same distance of d, its final kinetic energy plus rotational kinetic energy of the drum plus balls still equals its initial potential energy

K = U

I' = new rotational inertia of drum and balls, ω' = new angular speed of drum and balls

With its new speed is now V' at the end of d,

1/2mV'² + 1/2I'ω'² = mgd

1/2mV'² = mgd - 1/2I'ω'²

V² = [2(mgd - 1/2I'ω'²)/m]

V' = √[2(mgd - 1/2I'ω'²)/m]

Since I' and ω' increase, the rotational kinetic energy of the drum and balls (1/2I'ω'²) increases. Thus, the difference (mgd - 1/2I'ω'²) < (mgd - 1/2Iω²) which implies that the kinetic energy of the box decreases. Hence, since its kinetic energy decreases, its speed V' also decreases.

So,  V' < V

So, its speed will be less than V.

The frame of reference for an outside observer of a moving
bus might be a house across the street.
-TRUE
-FALSE

Answers

Answer:

false

Explanation:

The correct answer is true I am pretty sure

Calculate the area of the plates of a 1 pF parallel plate capacitor in a vacuum if the separation of the plates is 0.1 mm. [ε0=8.85×10-12C2N-1m-2 ]Select one:6.2 m214.4 m211.3 m218.4 m2

Answers

Apply:

C = A e0 / d

Where:

C = capacitance = 1pf = 1 x10^-12 F

A = area

ε0 = 8.85×10^-12

1 pf = 1 x 10^-12 F

A = Cd / ε0 = 1 x 10^-12 ( 1 x 10^-4 ) / 8.85×10^-12 = 1.13 x10 ^-5 m^2

Three objects with masses, m1 = 5.0 kg, m2 = 10.0 kg, and m3 = 15.0 kg, are attached by strings over frictionless pulleys as indicated in Figure P5.32. The horizontal surface is frictionless and the system is released from rest. Using energy concepts, find the speed of m3 after it moves down 4.5 m.

Answers

Using energy concepts, The speed of m3 after it moves down 4.5 m is 66.15 m/s.

Mass of the objects;

m1= 5 kg

m2= 10 kg

m3=15 kg

Distance: h = 4.5m

The change in gravitational potential energy of the mass must same with the change in kinetic energy of the mass. So:

(m3-m1) ×g×h=(15-5) ×9.8×10^-2×4,5 =½×(m1+m2+m3) ×v²

=10×9.8×10^-2×4, 5=0, 5 × (5+10+15) ×v²

v= 66.15 m/s

Definition of Energy and Its Units

Batteries and human fatigue are both affected by energy. Energy is the ability to do business (work) and experience change. These changes can be in the form of changes in position, changes in motion, changes in temperature, changes in the state of matter, even changes in living things, such as growth and development are also included in it.

If the energy runs out, then an object will not be able to do work (effort). Humans can feel tired after doing activities, because humans use energy. So, humans rest and consume food and drink to restore lost energy.

In international units, the unit of energy is the joule. In addition, to express energy in the form of heat (heat), calories and kWh are used to express electrical energy.

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when the top of the electrode leads the welding end of the electrode, and the welding arc is pointing back toward the weld bead, the travel angle is called a(n) ____ angle.

Answers

According to the information we can infer that the travel angle is called a "drag" angle.

How is it call a travel angle?

In welding terminology, the travel angle refers to the angle between the axis of the electrode and the workpiece surface. When the top of the electrode leads the welding end (meaning the electrode is inclined downward at an angle) and the welding arc is pointing back toward the weld bead, it is known as a "drag" angle.

In this configuration, the electrode is dragged along the surface of the workpiece, creating a trailing arc direction. This technique is commonly used in certain welding processes, such as shielded metal arc welding (SMAW) or stick welding, to control the heat input and the direction of the molten metal flow during the welding operation.

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If the force causing a mass to accelerate is multiplied by a number while keeping the mass the same, what happens to the acceleration of the object?

Answers

Answer: If mass remains constant and you double the force you will double the acceleration.

The type of asteroid that would appear darkest and reflect the least light is type:

A) A.
B) B.
C) C.
D) D.
E) S.

Answers

The type of asteroid that would appear darkest and reflect the least light is type option E) S.

Among the given options, type E) S asteroids would appear darkest and reflect the least amount of light. Asteroids are classified into different types based on their composition, and type S asteroids belong to the silicate group. They are made up of rocky materials, such as silicates and metals, and they tend to have a relatively low albedo.

Albedo refers to the amount of light an object reflects, and a low albedo means that the object absorbs more light than it reflects. As a result, type S asteroids appear darker because they absorb a significant portion of the incident light rather than reflecting it. Their dark appearance is due to their composition and surface properties.

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Two grocery carts have the same initial total momentum. The two carts collide, and now cart B has a greater final velocity.

Which best describes the final total momentum of both the carts compared to the initial total momentum?

It is less if cart B has a smaller mass.
It is greater if cart B has a greater mass.
It is the same if no external forces are added.
It depends on the masses of cart A and cart B.

Answers

Answer: The anser is C

Explanation:

It is the same if no external forces are added.

Based on the principle of conservation of linear momentum, the final total momentum of both carts compared to the initial total momentum is the same if no external forces are added.

The given information;

two carts have equal initial momentum beforeafter collision, cart B has greater final velocity

According to the principle of conservation of linear momentum, the total momentum before collision is equal to the total momentum after collision.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

m₁ and m₂ are the masses of the two cartsu₁ and u₂ are the initial velocities of the two cartsv₁ and v₂ are the final velocities of the two carts after collision

Thus, based on this principle (conservation of linear momentum), the final total momentum of both carts compared to the initial total momentum is the same if no external forces are added.

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Two representative elements are in the same period of the periodic table. Which statement correctly describes the atoms of the two elements?(1 point)

They have the same number of valence electrons.
They have the same number of valence electrons.

They have valence electrons in different energy levels.
They have valence electrons in different energy levels.

They have valence electrons in the same energy level.
They have valence electrons in the same energy level.

They have the same number of electrons.Helium is in group 18 of the periodic table. How is helium different from the other elements in this group?(1 point)Helium atoms have valence electrons in the first energy level, while atoms of the other elements in the group have valence electrons in the second energy level.
Helium atoms have valence electrons in the first energy level, while atoms of the other elements in the group have valence electrons in the second energy level.

Helium atoms have 2 valence electrons, while atoms of the other elements in the group all have 8 valence electrons.
Helium atoms have 2 valence electrons, while atoms of the other elements in the group all have 8 valence electrons.

Helium atoms have a full outer energy level, while atoms of the other elements in the group do not have a full outer energy level.
Helium atoms have a full outer energy level, while atoms of the other elements in the group do not have a full outer energy level.

Helium atoms have 2 electrons, while atoms of the other elements in the group all have 18 electrons.
Use the periodic table to answer the question.
Which element has atoms with valence electrons in a higher energy level than those of calcium (Ca)?
lithium (Li)
lithium (Li)

cesium (Cs)


bromine (Br)

oxygen (O)
Use the periodic table to answer the question.
Which statement best describes the arrangement of electrons in an atom of fluorine (F)?
There are seven electrons in the first energy level and two electrons in the second energy level.
There are seven electrons in the first energy level and two electrons in the second energy level.

There are five electrons in the first energy level and two electrons in the second energy level.
There are five electrons in the first energy level and two electrons in the second energy level.

There are two electrons in the first energy level and seven electrons in the second energy level.
There are two electrons in the first energy level and seven electrons in the second energy level.

There are two electrons in the first energy level and five electrons in the second energy level.

Answers

Elements in the periodic table are arranged in the increasing order of their atomic number.

An atom will contain equal amount of protons and electrons. If two elements are in same period of periodic table then these elements will have same number of electrons.

Helium is one of the seven elements which are called as noble gases. This gas is odorless, tasteless and colorless which makes it unique from other elements.

It has two valence electrons while atoms of other elements in the group have 8 valence electrons.

Lithium has one valence electron, while calcium atom has 2 valence electrons.

The highest level of energy is due valence electrons of an atom.  The correct answer is Lithium.

Fluorine element has 9 electrons. There are 2 electrons in the first energy level and seven electrons in the second energy level.

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A boy of mass 40kg and a girl of mass 30kg play on a see-saw of negligible weight. If the boy sits 270 cm from the pivot of the see-saw, where must the girl sit to make it balance.
Please show the steps....I will follow you if you do.

Answers

Hi there!

To solve, we can use a summation of torques.

For the see-saw to balance, the sum of torques must equal 0, so:

∑τ = 0

Recall that:

τ = rFsinθ

r = distance from pivot (meters)

F = force (N)

In this case, the forces are the weight of the children. Also, we can leave the distance in centimeters for this type of problem, but others do require a conversion to meters.

Multiply each mass by 10 (g ≈ 10 m/s²) to get the weight:

Στ = 270(400) - x(300) = 0

270(400) = 300x

Solve for 'x', the distance in cm away from the fulcrum:

108000/300 = 360 cm

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