discuss how devastating a 7.7 - magnitude earthquake is.

Answers

Answer 1

Answer:

Explanation:

It’s devastating because when a earthquake is 7.7 magnitude the

Answer 2
Because 163 is ur new home to go to the

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PLS HELP!! This question was never fully solved!

An object moving at 13 m/s has a kinetic energy of 426 J. What is the mass of the object?
1.26 kg
2.52 kg
5.04 kg
65.5 kg

Answers

To find the mass of the object, we can use the formula for kinetic energy:

Kinetic energy (KE) = (1/2) * mass * velocity^2

Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:

mass = (2 * KE) / (velocity^2)

Substituting the given values:

mass = (2 * 426 J) / (13 m/s)^2

mass = (2 * 426 J) / (169 m^2/s^2)

mass = 852 J / 169 m^2/s^2

mass = 5.04 kg

Therefore, the mass of the object is 5.04 kg.

Answer:

3. Which of the following is NOT fluid?
Ice
Air
Water vapor
Liquid ice

Answer:

4. If you filled a balloon on Earth and brought it to the moon, it would ________.
Expand
Shrink
Stay the same size, with the same internal pressure
Stay the same size but with different internal pressure.

Answer:





5. Which of the following is the largest in number?
Air molecule son your lungs
Grains of sand on earth
Stars in the galaxy
Insects alive on the planet

Answers

3.) Air
4.) Stay same size but different internal pressure
5.) Stars

Answer:

3. Ice.

4. Stay the same size but with different internal pressure.

5. Stars in the galaxy

Explanation:

Hope it helped!!

explain why the ray does not bend when it enters the semi circular glass block

Answers

The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.

Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.

Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.

Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.

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1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point. What is the heat of fusion of the substance?

Answers

1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point ,  the heat of fusion of the substance is 548 joules .

What is heat of fusion ?

Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.

Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams  of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.

q = m×∆Hf

q: Total change in heat energy (in Joules)

∆Hf: Heat of fusion of substance (in Joules per gram)

m: Mass of substance (in grams)

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Mars had a mass of 6.38* 10^23 kg and a radius of 3,390,000meter what is the force of gravity experienced by a mars rover with a mass of 3.7 kg playing in the Martian surface

Answers

I hope its helps you . you can also write 1.44×10^3 it will be better

Mars had a mass of 6.38* 10^23 kg and a radius of 3,390,000meter what is the force of gravity experienced

. Calculate the escape velocity for an atmospheric particle 1600 Km above the earth’s
surface, given that radius of the earth is 6400 km and acceleration due to gravity on the
surface of the earth is 9.8 m/s2
.

Answers

The escape velocity (Ve) which is required by the particle to escape the gravitational field of the Earth is 110.87  × 10³ km/sec.

What is Escape velocity?

Escape velocity is the minimum velocity that a moving body such as a rocket must possess to escape from the gravitational field of a celestial body like the Earth and move outward into space.

Particle is above the surface of Earth (r) = 1600 km = 16 × 10⁵m

Radius of Earth (Re) = 6400 km = 64 × 10⁵m

Acceleration due to gravity (g) = 9.8m/s²

To find the value of escape velocity (Ve),

We know,

Ve = √2 gR

Ve = √2 g (Re + r)

Ve = √2 g (64 + 16) × 10⁵

Ve = √2 × 9.8 × 80 × 10⁵

Ve = 1108.743 × 10⁵

Ve =  110.8743 × 10⁶

Ve = 110.87 × 10³ km/sec.

Therefore, the escape velocity (Ve) is 110.87 × 10³ km/sec.

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Ann is driving down a street at 63 km/h.
Suddenly a child runs into the street.
If it takes Ann 0.777 s to react and apply
the brakes, how far will she have moved before
she begins to slow down?
Answer in units of m

Answers

Answer:

s = 13.6 m

Explanation:

Ann is driving at a constant speed. Hence, the formula of uniform motion shall be used here. The formula for the distance traveled during uniform speed motion is given as follows:

s = vt

where,

s = distance covered by the car before it begins to slow down= ?

v = uniform speed of car = (63 km/h)(1000 m/ 1 km)(1 h/3600 s) = 17.5 m/s

t = time to react before applying brakes = 0.777 s

Therefore, using the values in the equation, we get:

s = (17.5 m/s)(0.777 s)

s = 13.6 m

A canoe has a velocity of 0.330 m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.540 m/s east relative to the earth. Find the velocity (magnitude and direction) of the canoe relative to the river.

Answers

Answer:

The velocity of the canoe relative to the river is 0.385 m/s, S37.26⁰W

Explanation:

Given;

velocity of the canoe relative to the earth, \(V_{r/e} = 0.33 \ m/s\)

velocity of the river relative to the earth, \(V_{r/e} = 0.54 \ m/s\)

The velocity of the canoe relative to the river is calculated as;

\(V_{(c/r)x} = V_{(c/e)x}- V_{(r/e)x} \ \ ----(1)\\\\V_{(c/r)y} = V_{(c/e)y}- V_{(r/e)y} \ \ ----(2)\)

The x - component of the velocity of the canoe relative to the earth;

\(V_{(c/e)x} = 0.33 \times cos \ 45^0\\\\V_{(c/e)x} = 0.2333 \ m/s\)

The y-component of the velocity of the canoe relative to the earth;

\(V_{(c/e)y} = 0.33 \times sin \ 45^0\\\\V_{(c/e)y} = 0.2333 \ m/s\)

Note: velocity of the river relative to the earth has only x-component = 0.54 m/s

Apply equation (1) and (2) to calculate the velocity of the canoe relative to the river;

\(V_{(c/r)}x = 0.2333 - 0.54 = -0.3067 \ m/s\\\\V_{(c/r)}y = 0.2333 - 0 = 0.2333 \ m/s\\\\The \ resultant \ velocity;\\\\V_{c/r} = \sqrt{(-0.3067)^2 + (0.2333)^2} \\\\V_{c/r} = 0.385 \ ms/\\\\The \ direction:\\\\\theta = tan^{-1} (\frac{0.2333}{0.3067} ) = 37.26^0 \ south \ west \ of \ the \ river\)

wire (mass = 50 g, length = 40 cm) is suspended horizontally by two vertical wires which
conduct a current I = 8.0 A, as shown in the figure. The magnetic field in the region is into the
paper and has a magnitude of 60 mT. What is the tension in either wire?

Answers

The magnetic field in the region is into the paper and has a magnitude of 60 mT and the tension in either wire is 0.096 N.

To find the tension in either wire, we can apply the equation for the force experienced by a current-carrying wire in a magnetic field.

The force experienced by a current-carrying wire in a magnetic field is given by the equation F = B * I * L * sin(θ), where B is the magnetic field strength, I is the current, L is the length of the wire, and θ is the angle between the wire and the magnetic field.

In this case, the wire is suspended horizontally by two vertical wires, and the magnetic field is into the paper. Since the wire is horizontal, the angle between the wire and the magnetic field is 90 degrees, so sin(θ) = 1.

The force experienced by the wire due to the magnetic field is F = B * I * L.

Given:

Current (I) = 8.0 A

Magnetic field (B) = 60 mT = 60 * 10^(-3) T

Length of the wire (L) = 40 cm = 40 * 10^(-2) m

Substituting the given values into the equation, we get:

F = (60 * 10^(-3) T) * (8.0 A) * (40 * 10^(-2) m)

Simplifying the expression, we find:

F = 0.192 N

Since the wire is suspended by two vertical wires, the tension in each wire will be half of the total force. Therefore, the tension in either wire is 0.192 N / 2 = 0.096 N.

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Which type of friction occurs when two objects slide past each other?
O fluid
O normal
O rolling
O sliding

Answers

The answer is sliding.

Hope this helped :)
D: Sliding

Exp: The term Sliding Friction refers to two objects creating friction as they slide past each other.

A toy car rolls down the ramp covering 4 meters in 6 seconds. What is its speed?
Show work here:

Answers

Answer:

0.67m/s

Explanation:

Given parameters:

Distance  = 4m

Time taken  = 6s

Unknown:

Speed  = ?

Solution:

Speed is the distance covered per unit of time.

It is mathematically expressed as;

  Speed  = \(\frac{distance}{time}\)  

  Speed  = \(\frac{4}{6}\)    = 0.67m/s

What is the acceleration of a car going 40 mph that slows down to rest over 10 seconds?A. -4 mph/s B. 4 mph/sC. 400 m/s2D. 4 m/s2

Answers

\(-4\frac{m}{s^2}\)

Explanation

the acceleration is the change of velocity in a determined tiem, it can be found by using the expression

\(\begin{gathered} g=\frac{\Delta velocity}{\Delta time}=\frac{v_f-v_i}{\text{time taken}} \\ g=\frac{v_f-v_i}{\text{time taken}} \\ \text{where} \\ v_i\text{ is the initial velocity} \\ v_f\text{ is the final velocity} \\ \end{gathered}\)

so

let

\(\begin{gathered} v_f=0\text{ (rest)} \\ v_i=40\text{ }\frac{mi}{h} \\ \text{time}=\text{ 10 sec} \end{gathered}\)

replace in the expression

\(\begin{gathered} g=\frac{v_f-v_i}{\text{time taken}} \\ g=\frac{0-40\frac{mi}{h}}{10\text{ s}} \\ g=\frac{-40\frac{mi}{h}}{10\text{ s}}=-4\frac{mi}{s^2} \\ g=-4\frac{mi}{s^2} \end{gathered}\)

therefore, the answer is

\(-4\frac{mi}{s^2}\)

I hope this helps you

Which techniques can scientists use to determine the characteristics of Earth's layers? Select the two correct answers.
examine the behavior of minerals at extremely low temperatures
study how seismic waves travel through different layers
drill deep mines to obtain samples from Earth's mantle and core
conduct experiments about how minerals change under high pressure
use X-rays to obtain a view of Earth's interior layers

Answers

The techniques that scientists can use to determine the characteristics of Earth's layers include:

study how seismic waves travel through different layersuse X-rays to obtain a view of Earth's interior layers

Waves were used by scientists to study the layers of the Earth. This was done through the use of seismic waves. These are the waves that are generated by nuclear test explosions.

Also, another technique to determine the characteristics of Earth's layers is the use X-rays to obtain a view of Earth's interior layers.

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Answer:

study how seismic waves travel through different layers

use X-rays to obtain a view of Earth's interior layers

:)

Explanation:

What is the total electric charge of 2.5 kg of (a) electrons and (b) protons?

Answers

Answer:

a

 \(Q_e  =  -4.39 *10^{11}  \  C \)

b

\(Q_p  =  + 2.395*10^{-8} \  C \)

Explanation:

Generally the number of electron in the given mass is  mathematically evaluated as

        \(N_e =  \frac{2.5}{m_e }\)

Here  m_e is the mass of electron with value \(m_e =  9.11 * 10^{-31} \  kg\)

    =>  \(N_e =  \frac{2.5}{ 9.11 * 10^{-31} }\)

       =>  \(N_e =2.74 *10^{30} \  electrons \)

The total electric charge is mathematically represented as

       \(Q_e  =  N_e  *  e\)

Here e is the charge on a single electron with value  \(e  =  1.60 *10^{-19}  \  C\)

 So

          \(Q_e  =  -2.74 *10^{30}   *  1.60 *10^{-19} \)

          \(Q_e  =  -4.39 *10^{11}  \  C \)

The  negative sign is because we are considering electron

Generally the number of  protons in the given mass is  mathematically evaluated as

    \(N_p =  \frac{2.5}{m_p }\)

Here  m_p is the mass of electron with value \(m_e =  1.67 * 10^{-27} \  kg\)

    =>  \(N_p =  \frac{2.5}{ 1.67 * 10^{-27} }\)

       =>  \(N_p =1.497 *10^{27} \  protons \)

The total electric charge is mathematically represented as

       \(Q_p  = + N_p  *  e\)

Here p is the charge on a single proton with value  \(p  =  1.60 *10^{-19}  \  C\)

 So

          \(Q_p  =  +1.497 *10^{27}   *  1.60 *10^{-19} \)

          \(Q_p  =  + 2.395*10^{-8} \  C \)

Earth what on its axis from what to what approximately every what

Could someone help me
What means what should I put in there

Answers

Answer:

Earth rotates on its axis from west to east approximately every 24 hours

Explanation:

hope this helps :)

Two forces are acting on a 0.250 kg
hockey puck as it slides along the ice. The first force has a magnitude of 0.400 N
and points 25.0°
north of east. The second force has a magnitude of 0.540 N
and points 65.0
° north of east. If these are the only two forces acting on the puck, what will be the magnitude and direction of the puck's acceleration? Enter the direction as an angle measured in degrees counterclockwise from due east

Answers

Answer:

a = 3.54 m/s²

direction = 48.1° north of east

Explanation:

Add up the x and y components of the two applied forces, then determine the resultant, R

∑Fx = cos25(0.40 N) + cos65(0.54 N) = 0.591 N

∑Fy = sin25(0.40 N) + sin65(0.54 N) = 0.6585 N

R = √0.59² + 0.6585² = 0.884 N = Fnet

Ф = tan⁻¹(0.6585/0.59) = 48.1° north of east

Fnet = ma

a = Fnet/m = 0.884 N / (0.25 kg) = 3.54 m/s²

A chemical change means a new substance with new properties was
formed.
True
False

Answers

Answer:

False

Explanation:

on a 36 kg book resting on a table and
calculate the weight and normal force.

Answers

Answer:

fg = 352.8 N

fn = 352.8 N

Explanation:

Weight is also known as force of gravity

Because the object is at rest (no work) is done or in other words no frictional force.

Or Fnet= fn + fg = 0

so start with fg

fg= m x g

fg = 36 kg x 9.8m/s

fg = 352.8 N

Because the book is at rest, normal force will be the same

fn = 352.8 N

Answer:

Weight of book = 360N

Normal Force = 360N

Explanation:

Draw a conclusion, based on the solubility curves shown above, of which compound would have the greatest
percentage recovered after cooling a saturated solution of that compound from 90°C to 30°C?
A) KCL
B) NaNO3
C) Nacl
D) KNO3

Draw a conclusion, based on the solubility curves shown above, of which compound would have the greatestpercentage

Answers

Answer: The answer is D. KNO3

Explanation:

The graph shows that the KN03 going straight up from the temperature sign so you reversed that so that it will make it to 90°C to 30°C

To solve this we must be knowing each and every concept related to solubility. Therefore, the correct option is option D among all the given options.

What is solubility?

The greatest amount of one material that may be dissolved in the other is referred to as its solubility. It is the most solute that may be dissolved into a solvent near equilibrium, resulting in a saturated solution.

When specific circumstances are satisfied, more solute can be dissolved further than the solubility limit point, resulting in a supersaturated solution. Adding extra solute after saturation or supersaturation does not enhance the concentration in the solution. Rather, the excess solute begins to precipitated out of solution. KNO\(_3\) is the compound that would have the greatest percentage recovered after cooling a saturated solution of that compound from 90°C to 30°C.

Therefore, the correct option is option D.

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2
How does the text compare the energy received from the sun and the energy
lost by Earth back into space?
A
The energy from the sun is greater than the energy lost by the earth.
B) The energy from the sun is less than the energy lost by the earth.
(C) The energy from the sun is the same as the energy lost by the earth.
(D) The energy from the sun is not equal to the energy lost by the earth.

Answers

The earth-atmosphere energy balance is achieved as the energy from the Sun is the same as the energy lost by the Earth. Thus, the correct option is C.

What is the Earth-atmosphere energy balance?

The Earth-atmosphere energy balance refers to the balance between the energy the Earth receives from the sun and the energy the Earth radiates back into space.

The earth-atmosphere energy balance is achieved as the energy received from the Sun balances the energy lost by the Earth's surface back into space. Through this mechanism, the Earth maintains a stable average temperature and therefore also a stable climate on the planet.

Therefore, the correct option is C.

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The word lithosphere is broken into many small and large slabs of rock called?

Answers

Answer:

The lithosphere is divided into huge slabs called tectonic plates. The heat from the mantle makes the rocks at the bottom of lithosphere slightly soft.

Explanation:

The Earth's lithosphere is broken into many small and large slabs of rock that are known as tectonic plates.

What are earth layers?

Earth is divided into four parts :

The crustThe mantleThe outer core and,The inner core.

Lithosphere is the rigid and rocky outer portion of earth's surface. It consists of crust and upper mantle.

Asthenosphere is mostly found in the uppermost mantle of earth. It is weak in nature. Hot molten magma comes out from here.

Our earth is broken into 7 major and some minor plates.

7 Major Plates are :

Pacific PlateNorth American PlateSouth American PlateEurasian PlateAfrican PlateAntarctic Plate Indo- Australia Plate

Minor Plates are :

Cocos PlateNazca PlateArabian Plate Philippine plate Caroline plate Fuji Plate

Hence, our lithosphere is divided into many small and large slabs of rock, and they are known as tectonic plates.

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depth of a pond seems shallower than real depth,why?​

Answers

Answer:

The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are. A 1m deep pond would only appear to be 0.75 m deep when viewed from directly above. When light emerges from glass or water into air it speeds up again.

Explanation:

Answer:

The property of light is the refraction of light because when light travels from a denser medium to rarer medium it bends away from the normal. The apparent depth of water is always less than the real depth of the water. Hence, water appears to be shallower than the real depth.

How can a particle's position determine the
amount of potential energy available to a
system?

Answers

Potential energy of a particle is directly proportional its position, thus, potential energy of particle increases with increase in the height of the particle and decreases with a decrease in the height of the particle.

The potential energy of a particle is the energy possessed by the particle by virtue of its position. This potential energy is form of mechanical energy and it is expressed mathematically as the product of the mass of the particle, acceleration due to gravity and the particles displacement or position.

P.E = mgh

where;

P.E is the potential energy of the particle

m is the mass of the particle

g is the acceleration due to gravity

h is the position of the particle.

Potential energy of a particle is directly proportional its position, thus, potential energy of particle increases with increase in the height of the particle and decreases with a decrease in the height of the particle.

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Select the correct answer.
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total
distance and total displacement of the boat?
O A.
OB.
O C.
O D.
The total distance is 105 kilometers and the total displacement is 45 kilometers east.
The total distance is 60 kilometers and the total displacement is 60 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east.
The total distance is 60 kilometers and the total displacement is 45 kilometers east.

Answers

The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

How to solve for the  total distance

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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Describe any diversity you have encountered through physical activity.
I dont know whatt this means lol.

Answers

Regular exercise has beneficial systemic effects, including promoting brain function. The adaptive response to regular exercise involves regulation of the enzyme antioxidant system and modulation of oxidative damage.
This is an example.
But I think that for them to give you a more correct answer you need to give us more information.

Physical activity can be a great way to connect with others and encounter a wide range of diversity in terms of age, gender, ethnicity, culture, and physical abilities.

What is encountered through physical activity?

Physical activity is an excellent way to bring people from different backgrounds together, and it can be a great opportunity to celebrate diversity. I have heard stories of people who have participated in physical activities such as team sports, yoga classes, or running groups and have encountered a wide range of diversity in terms of age, gender, ethnicity, culture, and physical abilities.

For example, in team sports such as soccer or basketball, players may come from different cultural backgrounds and speak different languages. This diversity can create challenges in communication, but it can also provide an opportunity for players to learn about each other's cultures and develop a sense of community.

In yoga classes, participants may come from different age groups, genders, and physical abilities. The instructor may offer modifications to poses to accommodate participants with different needs, creating an inclusive and welcoming environment.

In running groups or races, participants may come from all walks of life and have different reasons for running. Some may be running for fitness, while others may be running to raise awareness for a cause or to honor a loved one. This diversity can create a supportive and motivating atmosphere, where runners can encourage each other and celebrate their achievements.

Therefore, physical activity can be a great way to connect with others, learn about different cultures and backgrounds, and celebrate diversity.

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If the distance between two objects is cut in half, what happens to the
gravitational force between them?
A. It decreases to 1/2 its original magnitude.
B. It decreases to 1/4 its original magnitude.
O
C. It increases to 4 times its original magnitude.
D. It increases to 2 times its original magnitude.

Answers

C. Increase to 4 times its original magnitude

Why is evolution called a scientific theory?

Answers

Answer:

Explanation:

Evolution is both a fact and a theory. Evolution is widely observable in laboratory and natural populations as they change over time. The fact that we need annual flu vaccines is one example of observable evolution. At the same time, evolutionary theory explains more than observations, as the succession on the fossil record. Hence, evolution is also the scientific theory that embodies biology, including all organisms and their characteristics. In this paper, we emphasize why evolution is the most important theory in biology. Evolution explains every biological detail, similar to how history explains many aspects of a current political situation. Only evolution explains the patterns observed in the fossil record. Examples include the succession in the fossil record; we cannot find the easily fossilized mammals before 300 million years ago; after the extinction of the dinosaurs, the fossil record indicates that mammals and birds radiated throughout the planet. Additionally, the fact that we are able to construct fairly consistent phylogenetic trees using distinct genetic markers in the genome is only explained by evolutionary theory. Finally, we show that the processes that drive evolution, both on short and long time scales, are observable facts.

The evolutionary theory is a scientific theory because its assumptions are well sustained by scientific data.

Scientific data refers to the body of knowledge obtained by using the scientific method.

A scientific theory is a well-sustained explanation of one or more questions of the natural world, which was repeatedly tested and verified by using the scientific method.

The theory of evolution by natural selection is a theory because it has been repeatedly corroborated through the scientific method.

In conclusion, the evolutionary theory is a scientific theory because its assumptions are well sustained by scientific data.

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Wrecking balls are used to demolish old buildings. A 850 kg steel ball is suspended from a 10m-long cable on a crane. A hook on the crane slowly pulls the ball back, then releases it. The ball's speed at the lowest point in its arc, just before striking the building, is 4.5 m/s

At the lowest point in the ball's arc, (pick one)
1. the tension in the cable is less than mg because the ball is moving down.
2. the tension in the cable is equal to mg because tension and gravity are the only forces and they balance.
3. the tension in the cable is greater than mgbecause there has to be a net upward force.

What is the tension in the cable when the ball is at its lowest point?

Answers

The ball is briefly at rest and has zero acceleration at the lowest point of its arc. When the ball is at its lowest position, there is 8330 N of tension in the cable.

What does tension feel like at its greatest and lowest points?

There won't be any tension and weight will act downward and centrifugal force upward at the highest position. (as stated). As a result, the tension is 6 mg at the lower point and zero at the higher point.

Is there tension in the rope when the ball is at its lowest point?

Is the tension in the string higher, lower, or equal to the weight of the ball at its lowest point? The weight of the ball is outweighed by the strain in the string.

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ellus
Three horizontal forces are pulling on a
ring, at rest. F1 is 12.0 N at a 0° angle, and
F2 is 18.0 N at a 90° direction. What is the
x-component of F3?​

Answers

Answer:

Explanation:

Three forces are in equilibrium .

Let us represent forces in vector form ie in the form of i and j .

F₁ is acting along positive x axis ( at a 0° angle )

F₁ = 12 i

F₂ is acting along positive y axis ( at a 90° direction)

F₂ = 18 j

Suppose F₃ is represented by X i + Y j

Total of three forces is zero .

F₁ + F₂ + F₃ = 0

12 i + 18 j + F₃ = 0

F₃ = - 12i - 18 j

So x - component of F₃ = - 12 i

X - component of F₃ is equal to 12 N in magnitude and is acting in negative x direction ie at 180° direction .

similarly y - component is 18 N acting in negative y direction.

Answer:

x-component: -12

y-component- -18

Explanation:

A uniform sphere has a moment of inertia that is (2/5)MR2. A sphere of uniform density, with mass 29 kg and radius 0.5 m is located at the origin, and rotates around an axis parallel with the x axis. If you stand somewhere on the x axis and look toward the origin at the sphere, the sphere spins counterclockwise. One complete revolution takes 0.5 seconds. What is the rotational angular momentum of the sphere

Answers

Answer:

\(36.44\ \text{kg m/s}\hat{i}\)

Explanation:

I = Moment of inertia of sphere = \(\dfrac{2}{5}MR^2\)

M = Mass of sphere = 29 kg

R = Radius of sphere = 0.5 m

T = Time taken for one revolution = 0.5 s

\(\omega\) = Angular velocity = \(\dfrac{2\pi}{T}\)

\(L=I\omega\\\Rightarrow L=\dfrac{2}{5}MR^2\dfrac{2\pi}{T}\\\Rightarrow L=\dfrac{4MR^2\pi}{5T}\\\Rightarrow L=\dfrac{4\times 29\times 0.5^2\pi}{5\times 0.5}\\\Rightarrow L=36.44\ \text{kg m/s}\)

The rotational angular momentum of the sphere is \(36.44\ \text{kg m/s}\hat{i}\).

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