A hydraulic lift's master cylinder must be subjected to a force of 136N.
What is the tenet of the Archimedes Principle?According to Archimedes' principle, an object that is totally or partially submerged in a fluid will feel upward buoyant force that is equivalent in strength toward the point of gravity here on displaced fluid.
Where is the principle of Archimedes used?The design principle for vessels and submarines uses Archimedes' principle. The Archimedes principle is the foundation of hydrometers.
According to Archimedes' principle:
F1 / A1 = F2 / A2
F2 = (A2 / A1) * F1
Also, the formula for the force is F = mg.
The formula for the area of the cylinder is A = , therefore we get
F2 = ( π [tex](r2)^{2}[/tex] / π [tex](r1)^{2}[/tex] ) * mg
Since the cylinders' diameter is 2 cm and 24 cm, r1 = 12 and r2 = 1.
Substituting the values to the derived equation, we get
F2 = ( π [tex](1)^{2}[/tex] / π [tex](12)^{2}[/tex] ) * 2000 * 9.8
2 = 136 N
Thus, the force exerted must be 136N.
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Calculate the force of gravity between a 2.50 kg newborn baby and a 80.0 kg doctor standing 0.250 m away. G
The force of gravity between the newborn baby and the doctor is approximately 2.67 x 10^-8 N.
What do you mean by force of gravity?The attraction between two objects in the cosmos is created by the force of gravity. Objects fall towards the center of the earth as a result of this force, which also keeps planets and moons in their orbits around stars. The mass of the objects and the separation between their centers of mass determine how much gravity there is between them.
The force of gravity between two objects is:
F = G * m1 * m2 / r^2
Where F = force of gravity,
G = gravitational constant (approximately 6.67 x 10^-11 N*(m/kg)^2),
mass m1 and mass m2 are the masses of the objects,
r = distance between their centers of mass.
Given:
the mass of the newborn baby = 2.50 kg,
the mass of the doctor = 80.0 kg,
the distance between them = 0.250 m,
F = (6.67 x 10^-11 N*(m/kg)^2) * (2.50 kg) *(80.0 kg) / (0.250 m)^2
F = 2.67 x 10^-8 N
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What is dynamic flexibility example?
Dynamic flexibility example is a swimmer may circle their arms before getting into the water.
What is dynamics flexibility?
A person's absolute range of motion that is possible with movement is referred to as dynamic flexibility. Alternatively put, the greatest range of motion is the farthest you can bend, turn, or reach utilizing velocity and momentum. Some people use the terms ballistic or functional flexibility to describe dynamic flexibility.Prior to a workout or any type of activity, dynamic stretching is a fantastic approach to improving flexibility and engaging key muscles. The benefits will help you perform at your best as an athlete, thus it should always be done before any activity.Dynamic stretching involves regulated movements that get your muscles, ligaments, and other soft tissues ready for action and safety.To learn more about dynamics flexibility refer to:
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Imagine you are an astronomer who recently discovered a new planet orbiting a distant star. Which set of characteristics would you use to classify this planet as an inner or terrestrial planet
The characteristics which I would suggest are the planet should be dense, solid and located near star.
All the eight planets of the solar system move around the sun in fixed paths. These paths are elongated. They are called orbits. Mercury is nearest to the sun. It takes only about 88 days to complete one round along its orbit.
Venus is considered as ‘Earth’s-twin’ because its size and shape are very much similar to that of the earth.
Till recently (August 2006), Pluto was also considered a planet. However, in a meeting of the International Astronomical Union, a decision was taken that Pluto like other celestial objects (Ceres, 2003 UB313) discovered in recent past may be called ‘dwarf planets.
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What is the speed of a truck that travels 10 km in 20 minutes?
Answer:
8.3 m/s
Explanation:
Here's the answer in m/s:
(10 km)(1000 m/km) = 10000 m
(20 min)(60 s/min) = 1200 s
speed = d/t = 10000m / 1200s = 8.3 m/s
A boy with a mask of 20 is running at 3 m/s what is his kinetic energy
Important Formulas:
[tex]KE=.5mv^2[/tex]
Kinetic energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2
__________________________________________________________
Given:
[tex]m=20kg[/tex]
[tex]v=3m/s[/tex]
[tex]KE=?[/tex]
__________________________________________________________
Finding kinetic energy:
[tex]KE=.5mv^2[/tex]
[tex]KE=.5(20)(3)^2[/tex]
__________________________________________________________
[tex]\fbox{KE = 90 Joules}[/tex]
Three 3. 0g {\rm g} balls are tied to 80-cm {\rm cm}-long threads and hung from a single fixed point. Each of the balls is given the same charge q q. At equilibrium, the three balls form an equilateral triangle in a horizontal plane with 20 cm {\rm cm} sides.
What is q?
Wave amplitude at a specific distance is charged (r). It can be expressed as energy; however Coulomb's law says that it is frequently described as a force.
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.
Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively. Subatomic particles or matter particles are examples of the different forms of charges: Positive charge characterizes protons. Negative charge characterizes electrons.
Tcosθ=mg \sTsinθ=Fe\stanθ=
mg \sFe
∵ Fe= \sr \s2
Kq \s2
Fe= \s(2d) \s2
Kq \s2
Fe=4.l2 sin2 Kq2
"tan" equals "4l 2 sin 2 mg Kq 2"
equals (4l 2 sin 2 mg)4 0
q \s2
Q 2 equals (4mgl 2 sin 2 tan).
4πϵ \s0
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a tennis player hits a tennis ball with a force of 15N and moves it 25m . of the tennis players power output was 750W, find out how long they did work on the tennis ball for
When we do, we make sure to measure our mass in kilograms. We determine that F is equal to 124.26 newtons by entering these numbers into our calculator.
That is the average magnitude of the force applied to the tennis ball.
How is the force of a tennis serve calculated?The equation that Newton was referring to is shown by a serve. You can calculate the total force that was applied by the tennis racket to the ball by multiplying the weight of the racket by the speed at which the player swings their racquet.
After serving, how much does a tennis ball slow down?An average 120-mph serve slows to 82 mph before the bounce, 65 mph after the bounce, and 55 mph at the opponent's racket, according to tennis instructor and analyst John Yandell.
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What are the most common mutations in SCID?
A mutation in the interleukin 2 receptor gamma (IL2RG) gene, which makes the common gamma chain subunit, a part of multiple IL receptors, causes X-linked SCID. JAK3 is a crucial signaling molecule that is activated by IL2RG. SCID can also be brought on by a JAK3 chromosome 19 mutation.
Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.
The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients. According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized.
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ulius competes in the hammer throw event. The hammer has a mass of 7.26 kg and is 1.215 m long.What is the centripetal force on the hammer when it has a tangential speed of 31.95 m/s
The 6,100 N is the centripetal force on the hammer when it has a tangential speed of 31.95 m/s.
What is centripetal force ?Any force that induces a shift in velocity direction toward the center of a circular motion is referred to as a centripetal force. Centripetal force is caused by the part of the force that is perpendicular to the velocity.
Centripetal force is a force that operates on a body traveling in a circle and is pointed in the direction of the body's center of mass. It is computed using the formula:
F = mv^2/r
where m is the mass, v is the velocity and r is the radius.
F = 7.26(31.95)^2 / (1.215) = 6100 N
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A elastic spring is compressed by an amount x. Show that its P.E. is 1/2 kx2
where k is the spring constant.
Answer:
The potential energy (P.E.) stored in an elastic spring is equal to the work done in compressing or stretching the spring.
When a spring is compressed or stretched, the force required to do so is given by Hooke's law, which states that the force F required to compress or stretch a spring by an amount x is given by
F = kx, where k is the spring constant.
The work done in compressing or stretching a spring is equal to the force required to do so multiplied by the distance over which the force is applied.
In the case of a spring, this distance is equal to the amount x by which the spring is compressed or stretched.
Therefore, the work done in compressing or stretching a spring is given by
W = Fd = kx * x = kx^2.
The potential energy stored in the spring is equal to the work done to compress or stretch it.
Therefore, the potential energy of a spring that is compressed by an amount x is given by P.E. = W = kx^2.
Substituting kx^2 = 1/2 kx^2, we find that
P.E. = 1/2 kx^2.
This shows that the potential energy stored in an elastic spring is equal to 1/2 times the spring constant multiplied by the amount x by which the spring is compressed or stretched.
Explanation:
You can just say if its A B C or D.
Thank you!
A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 79.0-kg water-skier has an initial speed of 5.6 m/s. Later, the speed increases to 10.8 m/s. Determine the work done by the net external force acting on the skier.
The work done by the net external force acting on the skier is 3368.56 J.
What exactly is a physics "work done"?When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.
What is a work unit and a SI unit of work?The joule is the SI unit of labor (J). It is described as the work accomplished over a one-meter distance by a force of one newton.
It is given that,
Mass of the water skier, m = 79.0 kg
Initial speed of the water skier, u = 5.6 m/s
Final speed of the skier, v = 10.8 m/s
Now, we calculate work done by using work energy theorem,
W = ΔE
[tex]W=\frac{1}{2}m (v^2-u^2)[/tex]
[tex]W=\frac{1}{2} 79.0 kg (10.8^2-5.6^2)[/tex]
[tex]W=3368.56J[/tex]
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A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force of magnitude 6.0 N and a vertical force are then applied to the block (Fig. 6-17). The coefficients of friction for the block and surface are ms 0.40 and mk 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of is (a) 8.0 N, (b) 10 N, and (c) 12 N.
Kinetic friction force, or f k = k F N = 3.1N, is the amount of frictional force acting on the block.
Static friction is the friction that exists between two systems when they are in contact and immobile with respect to one another. Kinetic friction is the term for the resistance that exists between two systems while they are in contact and moving in relation to one another.
Calculation:Either static or kinetic friction We decide on +x right and +y up. Applying Newton's second law to these axes:
F−f=ma
P+F n −mg=0
where F=6.0 N and m=2.5 kg is the mass of the block.
(a) P=8.0 N in this scenario results inF N =(2.5kg)(9.8m/s 2 )–10N=14.5N.
This implies ,fs, max =μ s F N=6.6N, which is larger than the 6.0N rightward force. The block, which was previously at rest, stays in place as a result.
Putting a = 0
f=P=6.0 N is the static friction force that results from plugging the first of our equations above.
(b) With P=10 N in this instance, the normal force isThis suggests that, fs, max = s F N =5.8N, which is smaller than the 6.0 N rightward
force, which causes the block to move. Therefore, we are working with kinetic data instead of static data.
Eq. reveals that friction is f k = k F N =3.6 N.
(c) In the last scenario, P=12 N results in FN=12.5 N and fs, max = s F N = 5.0N.which (as expected) is less than the 6.0 N rightward force. Thus, the block moves. The kinetic friction force, then, is f k =μ k F N =3.1N.
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Why is copper wire a better conductor of electricity than carbon fiber? (1 point)
A) Carbon (C) does not have any valence electrons.
B) Copper (Cu) is a metal, and only metals can conduct electricity.
C) The electrons in copper (Cu) are loosely bound to the nucleus.
D) Copper (Cu) has no loose electrons.
The copper wire a better conductor of electricity than carbon fiber because copper (Cu) is a metal, and only metals can conduct electricity option - B is correct answer.
Why does copper behave better as an electrical conductor?A metal has greater electrical conductivity the lower its resistivity level. And copper wire is an excellent electrical conductor because it has a low level of resistivity. Incredibly flexible is another quality of copper.
Carbon fiber still does not conduct electricity as well as metal, even after being treated with other materials. Though still about 100 times faster than carbon fiber treated with good electricity conductors, metals like silver, aluminum, and copper are particularly good at conducting electricity.
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Answer:
1. The electrons in copper (Cu) are loosely bound to the nucleus. (C.)
2. An electrical current that flows in one direction (D.)
3. aluminum (Al) (D.)
4. Opposite charges attract one another. (D.)
5. Atoms with a nearly empty valence shell make good conductors. (C.)
Explanation:
I did the Connections Academy test (Conductors and Insulators Quick Check)
Which type of view would best allow scientist to see the shape of the arm in a spiral galaxy? A. edge-on B. side-diagonal C. face-on D. bottom-up
Answer:
B
Explanation:
it has the best view for seeing the shape of the arm in a spiral galaxy
The type of view would best allow scientist to see the shape of the arm in a spiral galaxy is Side diagnol.
What is Spiral galaxy?Spiral galaxies are twisted collections of stars and gas that often have beautiful shapes and are made up of hot young stars.
Most of the galaxies that scientists have discovered so far are spiral galaxies, as opposed to the other two main categories of galaxy shapes — elliptical and irregular. The Milky Way – the galaxy that includes Earth and our solar system – is an example of a spiral galaxy.
The majority of spiral galaxies have a flat, spinning disk of stars around a central bulge. Older, fainter stars make up the bulge in the center, which is thought to house a supermassive black hole.
Therefore, The type of view would best allow scientist to see the shape of the arm in a spiral galaxy is Side diagnol.
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A 5mL tank of Carbon dioxide i tored at a preure of 30mmHg. It i moved to an altitude with a preure of 28mmHg. What will the new volume of Carbon dioxide be?
The new volume of Carbon dioxide be 5.36 mL.
What happened to the amount of gas in the syringe as you raised the plunger?Boyle's Law can also be used to explain how a syringe operates. A syringe's plunger being drawn out causes the volume inside the barrel to expand, which lowers the pressure inside the barrel.
Describe Boyle's Law.According to Boyle's Law, P1V1=P2V2 while the temperature is constant. In accordance with Boyle's Law, pressure and volume are inversely linked. In other words, volume decreases as pressure rises (and vice versa).
Given:
Volume (V1) =5ml
Pressure (P1) = 30 mmHg
Pressure (P2) =28 mmHg
Volume (V2) = ?
From Boyle's Law,
[tex]P_1V_1=P_2V_2[/tex]
[tex]30*5=28*V_2[/tex]
[tex]V_2=\frac{30*5}{28}[/tex]
[tex]V_2= 5.36 ml[/tex]
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If energy density is the amount of energy per unit mass, which of the following statements must be true?
A) NiCd batteries have a higher energy density than lead storage batteries
B) Lead storage batteries produce less energy than NiCd batteries
C) NiCd batteries produce more electrons per mole of metal than lead storage batteries
D) Both lead storage and NiCd batteries have the same energy density
If the energy density is the amount of energy per unit mass, then the true statement is A: "NiCd batteries have a higher energy density than lead storage batteries".
One of the advantages of NiCd batteries is that NiCd batteries have a higher energy-to-weight ratio in comparison to lead storage batteries. Even though lead-storage batteries have a higher E°cell, but NiCd batteries have more energy per unit mass and are smaller in size. Therefore, it is sated that NiCd batteries have a higher energy density.
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You are deigning another dolly andbag ytem for a different actor in the performance the ma of the dolly and the actor combined i 76kg and then ma of the andbag i 18kg the coefficient of kinetic friction Between the dolly and the tage floor i 0. 20. What i the acceleration
The acceleration of a dolly-sandbag system when mass and coefficient of kinetic friction is given is calculated to be 0.29 m/s².
Given that,
The mass of the dolly and actor combined M = 76 kg
The mass of the sandbag m = 18 kg
The coefficient of kinetic friction between the dolly and the stage floor = 0.20.
Let the acceleration is a.
From Newton's 2nd law of motion, we can write that,
ΣF = (m+M) a
mg - μMg = (m+M) a
a = g (m- μM)/ (m+M)
a = 9.8 ( 18 - 0.20×76)/(18+76)
a = 0.29 m/s².
Thus, the acceleration of the dolly-sandbag system is 0.29 m/s².
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Drag each label to the correct location.
Identify the boundary type that is being described.
Transform boundaries, continental convergent boundaries, and oceanic convergent boundaries are the boundaries that are recorded.
How do transform boundaries work?A transform boundary is an area of a fault where two surfaces slide horizontally past one another.
What exactly is a convergent ocean boundary?An oceanic convergent boundary is the collision of two oceanic lithosphere-based plates. Even if this boundary contained the same kind of lithosphere, one of the plates would subduct beneath the other.
Transform boundaries are where crust is neither created nor destroyed at this boundary.In the region where the plates come into contact, movement along this boundary causes crumpling, lifting, and folding of the earth's crust—the continental convergent boundary.At this boundary, also known as the oceanic convergent boundary, the subduction zone frequently forms an arc of volcanic islands.To learn more about Transform boundaries here:
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What are some benefits of dynamic exercises prior to playing volleyball how it will prepare your body leading to the game?
The benefits of dynamic exercises before playing volleyball and how they will prepare your body for the match are:
Increased Muscle Strength and PowerImproved Mobility and FlexibilityImproved Agility and Reaction TimeImproved Balance and CoordinationImproved Cardiovascular EnduranceExplanation of each of the benefits of dynamic exercises before playing volleyball and its preparationIncreased Muscle Strength and Power: Dynamic exercises help to increase muscle strength and power, which is essential for performing explosive movements required in volleyball.Improved Mobility and Flexibility: Dynamic exercises help to improve mobility and flexibility, which can help to reduce the risk of injury.Improved Agility and Reaction Time: Dynamic exercises help to improve agility and reaction time, which can help you to react quickly and effectively to the game.Improved Balance and Coordination: Dynamic exercises also help to improve balance and coordination, which can help you to perform better and avoid unnecessary injuries.Improved Cardiovascular Endurance: Dynamic exercises help to increase your cardiovascular endurance, which can help you to last longer during the game and maintain high intensity throughout.Learn more about dynamic stretching:
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By using moving _____magnetic fields_________ and _________________ wire together, electric ___________________ create electricity. Electric generators essentially convert _____________________energy (the energy of motion) into _____________ energy.
The words with a blank are , magnet, coiled copper, motor, mechanical and electrical. Electric generators produce electricity by combining a moving shaft with coiled wire.
How do magnetic fields work?The magnetic field is the region where the strength of magnetism acts on a magnetic substance or a flowing electric charge. a magnetic field diagram that shows how the magnetic force is distributed both inside and outside of a magnetic substance.
Kinetic energy: What is it?When an object is moving, it has kinetic energy. If we intend to accelerate an object, we must exert a force. The task has been finished, energy has been applied to the object, and it is now moving at a fixed constant pace.
Therefore, electric generators generate electricity by combining coiled wire and moving shaft magnetic fields. Kinetic energy, or the energy of motion, is effectively transformed into electrical energy via electric generators.
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To protect yourself from being electrocuted by contact with overhead power lines, you should always assume overhead lines are energized and keep yourself and equipment and at least ________ away from power lines up to 50KV
Keep equipment and yourself at least 10 feet away from power lines carrying high voltage up to 50KV.
Which of the following components of PPE can guard against electrocution?Safety glasses, face shields, hard hats, insulated boots, rubber gloves with leather protectors, insulating sleeves, and fire clothing are among the personal protective equipment (PPE) that must be worn when working near power lines depending on the job task. This lowers the risk of electrocution.
Which power line safety precautions are recommended?Assume that overhead electricity wires are active and keep a minimum of 10 feet away from them. When operating close to power lines, de-energize and ground them. When working close to electricity lines, use fiberglass or wood ladders that are non-conductive.
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When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. What is the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d?
plsss help
According to Newton's law of gravitation, the new gravitational force will be F/9
Newton's Law of GravitationIt states that, the force of attraction between two masses is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.
When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. That is,
F = GMm/d²
Where
M = mass of the earthm = mass of the satelliteG = universal gravitational constantThe magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d can be expresses as follow
f = GMm/(3d)²
f = GMm/9d²
f = GMm/d² × 1/9
Since GMm/d² = F
f = F × 1/9
f = F/9
Therefore, the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d is F/9 Newton
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The angular diameter of an object is inversely proportional to its distance from the observer.
True False
This statement is True, the angular diameter of an object is inversely proportional to its distance from the observer.
Angular diameter is a measure of the apparent size of an object in the sky as seen from a given location. It is the angular distance between two opposite points on the visible surface of the object, usually measured in degrees or arcminutes. Angular diameter can be used to describe the apparent size of both small and large objects, such as planets, stars, galaxies, and clusters.
For example, the angular diameter of the Sun as seen from Earth is approximately 0.5 degrees, while the angular diameter of the Moon is approximately 0.5 degrees. Angular diameter can also be used to measure the apparent size of large-scale structures in the Universe, such as the distance between two galaxies in a galaxy cluster. The angular diameter of a galaxy cluster is typically measured in arcminutes or arcseconds. Angular diameter is a useful measure of the size of an object since it is independent of the distance between the observer and the object.
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an object of mass m experiences a gravitational acceleration from a planet of mass M. If the objects mass is doiubled
The force of gravity between two objects is equal to their respective masses multiplied by two. If one of the items triples in mass, the gravitational pull between them will also triple.
The force of gravity between two objects is multiplied by two when their masses are each doubled, and so on. Since an object's kinetic energy is exactly proportional to its mass, it will double along with the object's mass. The force of gravity between two objects is equal to their respective masses multiplied by two. If one of the items triples in mass, the gravitational pull between them will also triple.
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What is moment arm distance?
The distance between the force's line of action and the center of moments, also known as the moment arm or lever arm, is perpendicular. Force times distance equals moment.
Moment distance: what is it?A force's moment is determined by its magnitude and distance from the rotational axis. The strength of a force is measured by its moment around a point (the perpendicular distance of the line of action of the force from the point).
What exactly are moment and lever arms?The distance from an axis to the line of action of a force is known as the moment arm (or lever arm) of a force system. In other words, the moment arm controls the torque's quality.
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4. Driving home from school one day, you spot a ball rolling out in the street. You brake for 1.20 s, slowing your 950 kg car from 16 m/s to 9.5 m/s. a. What was the average force exerted on your car during braking
As stated in the preceding statement When braking, an automobile experiences an average force of 5,145.8 N.
Describe acceleration:An object is considered to have been pushed if its velocity changes. Depending on whether an item is moving faster, slower, or in a new direction, its velocity may change. Examples of acceleration include a falling fruit, the moon orbiting the earth, and an automobile that has stopped at a stop sign.
v = v o + a t ( the acceleration will be negative )
9.50 = 16.0 + a * 1.2
a * 1.2 = -16.0 + 9.50
a * 1.2 = - 6.5
a = - 6.5 : 1.2
a = - 5.4167 m/s²
F = m * a
950 kg * 5.4167 m/s²
F = 5,145.8 N ( the average force exerted on a car during braking )
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Four particles with masses 4 kg, 4 kg, 4 kg, and 7 kg are connected by rigid rods of negligible mass as shown. Assume the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 9 rad/s. Find the rotational energy of the system about the x axis.
The rotational Kinetic energy of the system about X axis is 24624 J.
Let the distance of the mass 4kg, from O is r1,
r = √(4² + 4²)
r = √32m
The distances of masses to the rotation axis is same -
say,
r1 = r2 = r3 =r4 = √32
Hence,
I = ∑ mi r1²
I = r² ∑(m1 + m + m3 + m4)
= 32(19)
I = 608 Kg m²
We know that rotational energy of system is given as,
K = 1/2 Iw²
Given,
W = 9 rad/sec
∴ K = 1/2 × 608 × 9²
K = 24624 J
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The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the larger ball
Answer:
2 inches
Explanation:
Volume of a sphere = 4/3 pi r^3
for the EIGHT balls total volume = 8 * 4/3 pi (1^3) = 32/3 pi
This is the volume of the made-up ONE ball
4/3 pi r^3 = 32/3 pi
4/3 r^3 = 32/3
r^3 = 32/3 * 3/4
r^3 = 8
r = 2 inches
I really don’t get it so if someone could help me that would be great
Answer:
Explanation:
First establish the POSITIVE direction. We'll say to the RIGHT is positive, and UP is positive. All you have to do is add forces in the positive direction and subtract forces in the negative direction. If your answer is positive, the net force is to the right or up; if your answer is negative, the net force is to the left or down.
Here are your answers:
25-15-15 = -5N left
84-60-10 = 14N up
75-60-2 = 13N right
25+25-25 -15 = 10N right
44+44-100= -12N down
67-76 = 9N right