Calculate the magnitude of the force on the child causing the centripetal acceleration if the ride is midway up the circle (on his way up). express your answer in terms of mg.
The force on the child midway up is equivalent to half the child's weight, which is expressed as F = m*g/2, where m is the mass of the child and g is the acceleration due to gravity.
Explanation:To calculate the magnitude of a force on a child midway up a ride in terms of mg (Gravitational force), we first must acknowledge that this is a situation involving rotational mechanics and centripetal forces. We shall employ the concept of moment of inertia, that acts equivalent to mass in linear motion for cases of rotational motion.
The child can be considered as a point mass, with a moment of inertia Ic = mR². For the given values in the text, the moment of inertia Ic of the child would be (18.0 kg)(1.25 m)² = 28.13 kg · m². This value would assist us in calculating the force in the upcoming steps.
Due to the ride's circular motion, the child experiences a centripetal acceleration. Set this centripetal acceleration equal to the acceleration due to gravity: 9.8 m/s². Since we are midway up the circle, the total acceleration would be divided by two:
a_c = g/2 = 4.9 m/s².
The force causing this centripetal acceleration, in terms of mg, can be acquired by using Newton's second law, F = ma. Thus:
F = m*a_c = m*g/2 = mg/2.
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A bullet of inertia m traveling at speed v is fired into a wooden block that has inertia 4m and rests on a level surface. The bullet passes through the block and emerges with speed v/3, taking a negligible amount of the wood with it. The block moves to the right but comes to rest after traveling a distance d. What is the magnitude of the frictional force between the block and the surface while the block is moving?
The magnitude of the frictional force between the block and the surface while the block is moving is 9m.
The magnitude of the frictional force between the block and the surface while the block is moving can be determined using the principle of conservation of momentum.
When the bullet passes through the block, the total momentum of the system is conserved. The initial momentum of the bullet is mv and the initial momentum of the block is 0.
After the collision, the final momentum of the bullet is (1/3)mv and the final momentum of the block is (4m)(v/3). Setting the initial and final momenta equal, we can solve for the magnitude of the frictional force.
Initial momentum of the system = Final momentum of the system
mv + 0 = (1/3)mv + (4m)(v/3)
Simplifying the equation, we get:
mv = 2mv/9
Cancelling out the m and solving for v, we get:
v = 9m
Therefore, the magnitude of the frictional force between the block and the surface while the block is moving is 9m.
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"recall that the speed of sound in water is 1507 meters/second (4944 feet/second). if a sonar sounding had a total travel time of 5 seconds, what is the water depth?"
Which property do metalloids share with nonmetals?
Both are brittle.
Both are shiny.
Both have low melting points.
Both are very conductive.
Answer: Both are Brittle
Explanation:
Metals are lustrous, malleable and ductile. Metals are good conductors of heat and electricity.
Non-metals are poor conductors of heat and electricity. Non-metals are brittle and non-lustrous elements.
Elements which have properties between metals and non-metals are known as metalloids.
Some mettaloids are lustrous and conductors of electricity. One property that these elements share with non-metals is that these are brittle i.e. they can easily break.
The property metalloids share with nonmetals is [tex]\boxed{{\text{Both are brittle}}}[/tex].
Further explanation:
Nonmetals:
Elements that gain electrons in a chemical reaction are non-metals. They are the electronegative element that has high ionization energy. Non-metals are either gas, liquid or solid. Nonmetal oxides react with bases and form salts.
Properties of Nonmetals:
Physical State: Most non-metals exist in the form of gas and solid. The exception includes bromine that exists as liquid at room temperature.
Non-Malleable and Ductile: They are brittle and cannot be transformed into wires.
Conduction: Poor conductor of heat.
Luster: Non-metals have no metallic luster.
Melting and Boiling Point: Melting point of non-metals is lower than metals. Also, it is highly variable.
Metalloid:
An element that is a mixture of metals and nonmetals is called metalloids. The six known metalloids are boron, silicon, germanium, arsenic, antimony, and tellurium.
Properties of Metalloids:
Metalloids are metallic brittle solids.
Mostmetalloids are semiconductors and thermal conductors.
Some metalloids conduct electricity like metals.
1. Metalloids are brittle and also nonmetals are very brittle. Hence, both metalloids and nonmetals have this property. Hence option 1 is correct.
2. Metalloids can be either shiny or dull but nonmetals are dull. Hence, option 2 is incorrect.
3. Metalloids have melting points as similar to metals whereas nonmetals have melting points lower than metals. Hence, option 3 is incorrect.
4. Some metalloids conduct electricity like metals whereas nonmetal does not conduct electricity. Hence, option 4 is incorrect.
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Answer details:
Grade: High School
Subject: Chemistry
Chapter: Metals and non-metals
Keywords: metalloids, brittle, lustrous, conductors, melting point, nonmetals, low, metals, high and shiny.
A power station delivers 510 kw of power at 12,000 v to a factory through wires of total resistance of 2.5 ω. how much less power is wasted if the electricity is delivered at 47,000 v rather than 12,000 v?
The currents (Amperes)
in the two cases are calculated as power/voltage:
510000W / 12000V = 42.5 A
510000W / 47000V = 10.85 A
And that the power wasted in the two cases is calculated as current^2
x resistance:
(42.5 A)^2 (2.5 Ohms) = 4,515.625 W
(10.85 A)^2 (2.5 Ohms) = 294.30625 W
So the amount of power saved is the difference:
4,515.625 - 294.30625 = 4221.32 Watts
This is the main reason why distribution grids aim to operate at the highest voltages possible.
Which device converts electrical energy into kinetic energy?
an electric generator
an electric motor
a step-down transformer
a step-up transformer
Electric motor
Explanation;Energy is the ability to do work. According to the law of conservation of energy, energy can not be created nor destroyed but can be changed from one form to another.Changing energy from one form to another is done by devices we call transducers. These are elements that convert energy from one form to another.In this case, electrical motor is an example of a transducer that converts electrical energy to kinetic energy. Electrical energy is supplied to a the motor which converts it to rotational energy or mechanical energy then to kinetic energy.Answer:
A). Electric generator
Explanation:
Lori’s family is on a road trip. They split their drive into the five legs listed in the table. Find the average velocity for each leg of the trip. Then arrange the legs of the trip from lowest velocity to highest.
Answer:
Explanation:
Drag each tile to the correct box.
Lori’s family is on a road trip. They split their drive into the five legs listed in the table. Find the average velocity for each leg of the trip. Then arrange the legs of the trip from lowest velocity to highest.
Leg Distance (km) Time (min)
A 15 10
B 20 15
C 24 12
D 36 9
E 14 14
leg A
leg B
leg C
leg D
leg E
H-2 + H-3 → He-4 +
Consider the nuclear reaction that takes place in the sun. Two nuclides of hydrogen fuse to form helium. Is helium the only product of this reaction? If no, identify any additional products.
A) Yes, He-4 is the only product.
B) No. The products include He-4 and a neutron.
C) No, the products include He-4 and gamma radiation.
D) No. the products include He-4, one neutron, and energy.
Answer: Option (D) is the correct answer.
Explanation:
The given reaction is a nuclear fusion reaction because in a nuclear fusion two small nuclei combine together to result in the formation of a large nuclei along with the release of energy.
The complete given reaction will be as follows.
[tex]^{2}_{1}H + ^{3}_{1}H \rightarrow ^{4}_{2}He + ^{1}_{0}n + Energy[/tex]
Thus, we can conclude that along with the release of helium atom there will be release of one neutron and energy.
A system absorbs 186 kj of heat and the surroundings do 110 kj of work on the system. what is the change in internal energy of the system? express the internal energy in kilojoules to three significant figures.
Final answer:
The change in internal energy of the system is 296 kJ, calculated using the first law of thermodynamics by adding the heat absorbed by the system (186 kJ) to the work done on the system by the surroundings (110 kJ).
Explanation:
The question involves the concept of change in internal energy of a system which is a part of thermodynamics in Chemistry. To determine the change in internal energy, we use the first law of thermodynamics, which states that the change in internal energy (ΔU) of a system is equal to the heat (Q) added to the system minus the work (W) done by the system on the surroundings.
In this case, the system absorbs 186 kJ of heat and the surroundings do 110 kJ of work on the system. As work is done on the system, it is treated as positive input of energy. Therefore, the change in internal energy (ΔU) for the system can be calculated as follows:
ΔU = Q + W
ΔU = 186 kJ + 110 kJ
ΔU = 296 kJ
The change in internal energy of the system is 296 kJ, assuming all quantities are in the same units (in this case, kilojoules).
A wheel which is initially at rest starts to turn with a constant angular acceleration. after 4 seconds it has made 4 complete revolutions. 1) how many revolutions has it made after 8 seconds?
Calculate the pressure of an enclosed fluid on which a force of 150 N is exerted over an area of 10 cm2. give the answer in pascals.
The pressure of an enclosed fluid on which force is applied is 150 N over an area of 10 cm² will be 1500 N/m² or 1500 Pa.
What is Pressure?In the physical sciences, pressure is defined as the perpendicular force per unit area or the stress at a particular location within a confined fluid The force divided by the area over which it is exerted, or one-half pound per square inch, determines the pressure that a 42-pound box with an 84-square-inch bottom will impose on a surface.
Atmospheric pressure, which at sea level is roughly 15 pounds per square inch, is the amount of weight that the atmosphere exerts on each unit area of the Earth's surface. One pascal equals one newton per square meter when expressed in SI units, which is how pressure is calculated.
According to the question :
Pressure, P = F / A
P = 150 N
A = 10 cm² or
A = 0.1 m²
P = 150 / 0.1
P = 1500 Pa.
Hence, the Pressure on the enclosed fluid is 1500 Pa.
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Calculate the acceleration if you push with a 20-N horizontal force against a 2-kg block on a horizontal friction- free air table
the density of maple wood is about 755.kg/m. What is the mass of a solid piece of maple that has a volume 640.cm?
I believe that the correct given values are:
density = 755 kg/m^3
volume = 640 cm^3
First let us convert volume to m^3 units.
volume = 640 cm^3 * (1 m / 100 cm)^3 = 6.4 x 10^-4 m^3
so the mass is:
mass = 755 kg/m^3 * (6.4 x 10^-4 m^3)
mass = 0.4832 kg = 483.2 g
The mass of the piece of maple wood is calculated to be approximately 0.4832 kg by rearranging the formula for density (D = M/V) to solve for mass (M = D*V), and then substituting in the provided density and volume values.
Explanation:The student is asked to find the mass of a piece of maple wood, given its volume and density. We use the formula for density which is D = M/V, where D is the density, M is the mass, and V is the volume. To find the mass, we rearrange the formula to M = D*V. Given that the density of maple wood is about 755 kg/m³ and the volume is 640 cm³ (which is equivalent to 0.00064 m³), we calculate the mass as follows: M = 755 kg/m³ * 0.00064 m³ = 0.4832 kg.
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Classify each of these soluble solutes as a strong electrolyte, a weak electrolyte, or a nonelectrolyte. drag each item to the appropriate bin.
One of the most significant properties of water is its ability to dissolve a wide variety of substances. Solutions in which water is properly the dissolving medium are called aqueous solutions. For electrolytes, water comes by the most primary solvent.
HCl = hydrochloric acid, a strong acid. HNO₃ = nitric acid, a strong acid .NaOH = sodium hydroxide, a strong base .HF = hydrofluoric acid, a weak acid .HC₂H₃O₂ or CH₃COOH = acetic acid, a weak acid .C₂H₅OH = ethanol, a nonelectrolyte .C₆H₁₂O₆ = glucose, a nonelectrolyte .Notes:
Some acids ionize completely in water, some partially. Thus acids are not all of equal strength in terms of the production of H⁺ ions in solution. If an acid ionizes completely, it is strong acid. If we pass hydrogen chloride gas through water, almost all the molecules ionize to give H⁺ and Cl⁻ ions. Hence, HCl is a strong acid. If an acid ionizes partially, on the other hand, it is a weak acid. In the ionization of weak acids, some of the ions recombine and remain as molecules. HF is a weak acid. If we pass hydrogen fluoride gas through water, some of it will ionize to give H⁺ and F⁻. Most of the dissolved hydrogen fluoride will remain as HF molecules in water. Bases that completely ionize in water are called strong bases. The bases of alkali metals and some alkaline earth metals are strong, e.g., NaOH, KOH, and Ba(OH)₂. They conduct electricity well in an aqueous solution. Bases that dissociate in water slightly are weak bases, e.g., Mg(OH)₂ and NH₃. Water solutions of weak bases are poor conductors of electricity. Learn more About the solution as a homogeneous mixture https://brainly.com/question/637791 Calculating the pH value of weak base https://brainly.com/question/9040743 Flammability as one of the chemical properties https://brainly.com/question/1767022Keywords: classify, each of these soluble solutes, as a strong electrolyte, a weak, a nonelectrolyte. drag each item to the appropriate bin, acids, bases, dissolve, ionize, conduct electricity, water
What was a key feature of the roman confederation?
If the pulley was not set so that the string was parallel to the track, what effect would this have on the acceleration of the system? what effect would this have on the normal force from the track? would this be a random or systematic error? explain your reasoning.
Final answer:
If the pulley is not set parallel to the track, it will introduce a perpendicular component of the tension force, resulting in a reduction in the acceleration of the system. The normal force from the track will also increase, opposing the motion. This would be a systematic error as it stems from a consistent deviation from the correct setup.
Explanation:
If the pulley is not set so that the string is parallel to the track, it will introduce a component of the tension force that is perpendicular to the track. This perpendicular component will result in a normal force from the track which will oppose the motion of the system. Consequently, the acceleration of the system will be reduced. This effect can be understood by breaking down the tension force into components parallel and perpendicular to the track.
When the string is not parallel to the track, let's say at an angle theta, the tension force can be resolved into two components:
1. A component parallel to the track (T_parallel = T * cos(theta))
2. A component perpendicular to the track (T_perpendicular = T * sin(theta))
The parallel component (T_parallel) is responsible for providing the force that accelerates the system. The tension force is equal to the product of mass and acceleration (T_parallel = m * a). Therefore, any decrease in the parallel component of the tension force will result in a decrease in acceleration.
The perpendicular component (T_perpendicular) introduces a force perpendicular to the track, which is counterbalanced by the normal force from the track. As the angle theta increases, the normal force increases, opposing the motion and reducing the acceleration of the system.
This would be a systematic error because it is a consistent deviation from the correct setup. Systematic errors occur due to flaws in the experimental setup or technique. In this case, the error arises from the misalignment of the pulley and the track.
Any individual can become an expert in anything. Please select the best answer from the choices provided. T F
The answer is FALSE.
Answer:
False.
Explanation:
Any individual cant really become an expert in anything. Induvisuals might just be a normal person, and some be experts, To me about 20% of people can be experts 60% might just be a normal person. Some people have cancer, health problems, and diseases, or sicknesses. and some might not be good at some point at something.
If you drop a silver dollar off a building and it hits the ground in 10 seconds, how fast was the coin going just before?
Two objects exert a gravitational force of 3 N on one another when they are 10 m apart. What would that force be if the distance between the two objects were reduced to 5 m?
A. 1.5 N
B. 6 N
C. 12 N
D. 24 N
Ella has a mass of 56 kg, and Tyrone has a mass of 68 kg. Ella is standing at the top of a skateboard ramp that is 1.5 meters tall. Which conclusion is best supported by the given information?
If Tyrone stands at the top of the same ramp, his potential energy will be less than Ella’s.
If Tyrone stands at the top of a 1 m high ramp, his potential energy will be greater than Ella’s.
If Tyrone stands at the top of the same ramp, his potential energy will be the same as Ella’s.
If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella’s.
THE ANSWER IS D YOUR WELCOME:)
Which word is described by this riddle poem. (hint: jails and phones)
My first is in cars but isn't in bars
My second's in dance,but not in pants
My third is in lame, my fourth is the same.
What word could i possibly be?
A wire with a resistance of 5.3 ω is drawn out through a die so that its new length is 4 times its original length. find the resistance of the longer wire, assuming that the resistivity and density of the material are unchanged.
A _____________ can be considered as an ultrathin beam of light that travels in a straight line until it meets a reflecting or refracting surface.
A ray is an ultrathin beam of light that travels in a straight line until it meets a reflecting or refracting surface. Geometric optics is the branch of physics that models the path of light as straight lines called rays.
Explanation:A ray can be considered as an ultrathin beam of light that travels in a straight line until it meets a reflecting or refracting surface. In physics, the path of light is often modeled as straight lines called rays in the field of geometric optics. When light encounters objects several times larger than its wavelength, it behaves like a ray with subtle wave characteristics.
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The velocity of a spinning gyroscope drops from 12 rad/s to 6 rad/s due to deceleration of -1.2 rad/s^2. how much time expires during this process? how many radians does the top spin during the process?
what is the definition of physical fitness?
Answer: no ailment found in the body
Explanation: a body is said to be physically fit if it dies not deviate from the standard way a body should be that is it should have no sickness not injury
When the ground gets warm, it emits an invisible type of light called infrared light. This light can travel into the atmosphere and heat the air that it encounters.
What type of heat transfer is described above
Answer:
Radiation
Explanation:
Infrared radiation, that portion of the electromagnetic spectrum that extends from the long wavelength, or red, end of the visible-light range to the microwave range. ... Most of the radiation emitted by a moderately heated surface is infrared; it forms a continuous spectrum.
An automobile traveling along a straight road increases its speed from 72 ft/s to 84 ft/s in 180 ft. if the acceleration is constant, how much time elapses while the auto moves the 180 ft? answer in units of s.
The automobile taking approx. 178.54s (or around 3 minutes) while traveling 180ft is calculated using fundamental kinematic equations to determine constant acceleration and then time.
Explanation:To solve this, we need to utilise some basic kinematic equations. First, let's find the acceleration using the formula a = (vf - vi)/s where vf = final velocity, vi = initial velocity, and s = displacement distance. Substituting in the provided values: a = (84ft/s - 72ft/s)/180ft = 0.067 ft/s².
Next, we use the equation t = (vf - vi) / a where t = time, vf = final velocity, vi = initial velocity, and a = acceleration. Substituting in the relevant values, we get t = (84ft/s - 72ft/s) / 0.067ft/s² ≈ 178.54s or approximately 3 minutes.
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If the total dissipated power is to be reduced by 10%, how much should the voltage be reduced to maintain the same leakage current? note: power is defi ned as the product of voltage and current
To reduce the dissipated power by 10% while maintaining the same leakage current, the voltage needs to be reduced in such a way that the new power dissipation equals 90% of the original power, due to the direct proportionality between power and voltage in the formula P = IV.
Explanation:The question asks: If the total dissipated power is to be reduced by 10%, how much should the voltage be reduced to maintain the same leakage current? Power dissipation in an electrical circuit is described by the formula P = IV, where P is the power in watts, I is the current in amperes, and V is the voltage in volts.
To find the new voltage required to reduce the power dissipation by 10%, we first have to understand that if the leakage current remains constant, the power reduction is directly proportional to the reduction in voltage. Given the initial power Pm = 1.0 × 10³ W, reducing this power by 10% results in Pnew = 0.9Pm = 0.9 × 1.0 × 10³ W.
Since P = IV and I remains constant, the new power equation after reduction can be written as 0.9Pm = I × Vnew. Substituting the values and assuming the initial current remains unchanged, we solve for Vnew, resulting in a voltage reduction proportionate to the desired 10% power reduction.
One part of a freely swinging magnet always points
a. east.
b. to Earth’s geographic north pole.
c. toward Earth’s core.
d. to Earth’s magnetic pole in the Northern Hemisphere.
Answer: The correct answer is (d).
Explanation:
Magnet has two poles: South pole and North pole. The same poles of the magnets repel each other. The opposite poles of the magnets attract each other.
In the absence of other magnet, a freely swinging magnet points in North-South direction. The earth has a magnetic field. The magnetic field of the bar magnet is same as the magnetic field of the earth's magnet.
The position of the earth's magnetic poles are not fixed. The south pole of the earth's magnet lies in the geographic north as it attracts the north pole of the freely swinging magnet.
If one part of a freely suspended magnet always points to Earth's magnetic pole in the Northern Hemisphere.
A group of students were collecting soil samples near a river. One student noted there was a lot of sand in one of the samples. He said" All this sand must have washed up from beach where the river enters the ocean." Another student said, "I think it came from the rocks in the mountains. But there aren't any mountains near us. I don't understand how the sand got there." What would you tell the students to help them solve where the sand came from?