The flowing magnetic field creates a current in the copper pipe, which causes the magnet to move as specified.
What is magnetism?Magnetism is a physical quality mediated by a magnetic field that refers to the ability to create attracted and repulsive occurrences in other substances. Diamagnetic materials are those that magnetize freely when put in a magnetic field. However, the magnetization is oriented in the opposite direction as the magnetic field. These materials' magnetism is referred to as diamagnetism.
Here,
The flowing magnetic field creates a current in the copper pipe, which causes the magnet to move as specified. This is known as electromagnetic induction, and it occurs when a changing magnetic field generates an electric field, which induces a current in a conductive substance such as copper. The induced current generates its own magnetic field, which opposes the magnetic field of the magnet, slowing it down and forcing it to drop at a steady pace.
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draw a relative frequency histogram of the length of sixty tornadoes using a lower class limit of 0 and a class width of 5. use the length of sixty u.s. tornadoes in 2017 data set to find the length of the sixty tornadoes in 2017. choose the correct histogram below.
The histogram provided as an example is the correct relative frequency histogram for the length of sixty tornadoes using a lower class limit of 0 and a class width of 5.
To draw a relative frequency histogram for the length of sixty tornadoes using a lower class limit of 0 and a class width of 5, you will need to first count the frequency for each class.
This can be done by counting the number of tornadoes in each class and then dividing by the total number of tornadoes. The frequency for each class is then used to calculate the relative frequency.
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5. The torque needed to open a factory-sealed jar is about the same as the torque required to turn the wheel on a passenger car. You know the force necessary to turn your car’s steering wheel is less than the force needed to open a jar. How can the torques be the same?
We would need to increase the distance that is turned so as to have the same torque on the steering wheel
What is the torque?Torque is a measure of the force that causes an object to rotate around an axis or pivot point. It is a vector quantity that is defined as the cross product of the lever arm and the force applied. The unit of torque is Newton-meters (Nm) in the SI system.
Torque can be used to describe the effect of forces on objects such as gears, levers, and rotors, and is an important concept in fields such as mechanics, physics, and engineering.
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a 50.0 g golf ball is thrown upward with an initial velocity of 12 m/s. assume the initial potential energy is zero, find the potential energy, kinetic energy and total energy of the system at each of the follow: a. the initial position b. at a point 2.75 m above the initial position c. the maximum height the ball reaches
At the initial position Total Energy is 720J. Energy 2.75 m above the initial position is 852.5J.
The potential energy of an object can be calculated using the equation:
PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s²), and h is the height above a reference point.
The kinetic energy of an object can be calculated using the equation:
KE = 0.5mv², where m is the mass and v is the velocity.
The total energy of the system can be found by adding the potential and kinetic energy.
a. At the initial position:
PE = mgh = (50.0 g) x 9.8 m/s² x 0 m = 0 J
KE = 0.5mv² = 0.5 x (50.0 g) x (12 m/s)² = 720 J
Total Energy = PE + KE = 0 J + 720 J = 720 J
b. 2.75 m above the initial position:
PE = mgh = (50.0 g) x 9.8 m/s² x 2.75 m = 132.5 J
KE = 0.5mv² = 0.5 x (50.0 g) x (12 m/s)² = 720 J
Total Energy = PE + KE = 132.5 J + 720 J = 852.5 J
Energy is a property of matter that allows it to do work. It can exist in various forms, including kinetic energy (the energy an object has due to its motion), potential energy (the energy an object has due to its position or state), thermal energy (the energy of a substance due to its temperature), and electromagnetic energy (energy associated with light, radio waves, and other forms of electromagnetic radiation). Energy can also be transformed from one form to another, such as converting chemical energy into kinetic energy through combustion.
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a 260 g ball is dropped from a height of 2.4 m , bounces on a hard floor, and rebounds to a height of 1.9 m . (figure 1) shows the impulse received from the floor.
The impulse received from the floor is -118 g m/s when a 260 g ball is dropped from a height of 2.4 m, bounces on a hard floor, and rebounds to a height of 1.9 m.
The impulse received by the floor is equal to the change in momentum of the ball. The momentum of the ball can be calculated as the product of its mass and velocity.
Before the ball hits the floor, its momentum is given by:
= p1
= m x v1
= 260 g x (2.4 m/s)
= 624 g m/s
After the ball hits the floor and rebounds, its momentum is given by:
= p2
= m x v2
= 260 g x (-1.9 m/s)
= -494 g m/s
The change in momentum of the ball is equal to the difference between p2 and p1:
= Δp
= p2 - p1
= -494 g m/s - 624 g m/s
= -118 g m/s
Therefore, the impulse received by the floor is equal to -118 g m/s. Note that the negative sign indicates that the direction of the impulse is opposite to the direction of motion of the ball.
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the potential energy function for a system of particles is given by u(x) 5 2x3 1 2x2 1 3x, where x is the posi- tion of one particle in the system. (a) determine the force fx on the particle as a function of x. (b) for what values of x is the force equal to zero? (c) plot u(x) ver- sus x and fx versus x and indicate points of stable and unstable equilibrium.
W = -mgytotal = -mgh is the total work performed by the gravitational force. Ug = mgh represents the change in potential energy. A potential energy function depends on an object's position.
How can the force on a potential energy graph be determined?By taking the derivative of the potential, the force at every place may be determined if the potential energy function U(x) is known. This indicates graphically that if we have potential energy vs. position.
What does equilibrium's potential energy look like?Potential energy and equilibrium are related in that in an equilibrium like this, the body's potential energy is lower. In this case, when the body is moved a short distance, the state generates a force that does not oppose the movement.
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A grinding wheel with radius of 20 cm is speed of 200 rpm when its power is cut off. It slows to a stop in 90s What was is the angular displacement of a point located at Yr? b) That is the angular displacement of a point located at r? Through what linear distance will the point at h travel? d) Through what linear distance will the point at travel? Before it was cut off, what was the period of one rotation?
The angular displacement of a point located at r is 7200π radians.
The angular displacement of a point located at Yr can be calculated using the formula: θ = ωₒt + (1/2)αt^2, where ωₒ is the initial angular velocity (in radians per second), t is the time it takes to come to rest, and α is the angular acceleration (in radians per second squared).
The initial angular velocity of the wheel can be calculated as ωₒ = 2πnₒ, where nₒ is the initial speed in revolutions per minute (RPM). We have nₒ = 200 RPM, so ωₒ = 2π * 200 / 60 = 40π radians per second.
The angular acceleration can be calculated as α = - ωₒ / t = - 40π / 90 = - 2π / 4.5 radians per second squared.
Plugging in the values, we get θ = 40π * 90 + (1/2)(-2π / 4.5) * 90²2 = 3600π radians.
The angular displacement of a point located at r can be calculated as θ = 2θ, since the distance traveled is twice as long. So, the angular displacement of a point located at r = 2θ = 2 * 3600π = 7200π radians.
The linear distance traveled by the point at h can be calculated as d = θ * Yr, where Yr is the radius of the wheel. Plugging in the values, we get d = 7200π * 20 cm = 144000π cm.
The period of one rotation before it was cut off can be calculated as T = 60 / nₒ = 60 / 200 = 0.3 seconds.
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How can the Constitution be changed? Responses Its ratification can be undone. Its ratification can be undone. It can be sent to an editor. It can be sent to an editor. Individual clauses can be removed. Individual clauses can be removed. An amendment can be passed.
The constitution can be changed by passing an amendment. Option D
How do we change the constitution?The Constitution of a country outlines the fundamental principles and laws that govern the country and defines the powers and responsibilities of the government. The process for changing the Constitution, also known as constitutional amendment.
The process for changing the Constitution can be complex and time-consuming, and it often requires broad consensus among the political leaders and the citizens of the country. The difficulty of the process is intended to ensure that changes to the Constitution are made thoughtfully and with the support of the majority of the people.
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Show all work. Write the equation, plug in numbers, and get answer with unit.
9. A child sits on a dock and notices that 8 wavelengths pass the end of the dock in 4 seconds. What is
the frequency of the waves passing the dock? What is the period of the waves?
10. A pendulum oscillates 12 times in 4 seconds.
a. What is the frequency of the pendulum's oscillations?
b. What is the period of the pendulum's oscillations?
11. water wave has a frequency of 2 Hz, and there are 3 meters between each crest on the wave. How
fast is the wave moving?
12. Sound waves travel at roughly 340 m/s at room temperature. The minimum hearing range of a
human is 20 Hz. What is the wavelength of this wave?
I
The frequency is the inverse of time period of a wave and the time period of a wave is the time taken divided by number of cycles or wave.
What is Frequency and period of a wave?A wave is a propagating dynamic disturbance of different quantities. Frequency is the number of waves which are passing by a specific point of time per second. And, time period is the time which the wave takes for one wave cycle to complete.
Frequency of a wave can be calculated by reciprocal of time taken.
Frequency of a wave = 1/ Time period
The time period is the time in which one wave.
9. The time period of the wave = Time taken/ Number of waves or cycles
Time period = 4/ 8
Time period = 1/2 or 0.5 sec
Frequency of a wave = 1/ T
Frequency of a wave = 1/ 0.5 = 2⁻¹
10. The time period of the pendulum's oscillations = 4/ 12 = 1/3 = 0.33 sec
The frequency of the pendulum's oscillations = 3.03 sec⁻¹
11. Speed of a wave = wavelength of a wave × frequency of the wave
Speed of a wave = 3 × 2
Speed of a wave = 6 meters per second
12. Wavelength of the wave will be the ratio of speed of the wave and frequency of the wave.
Wavelength (λ) = Speed of the wave (v)/ frequency of the wave (f)
Wavelength = 340/ 20
Wavelength = 170 meters
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(a) the cable of a hoist has a cross-section of 50 mm2. the hoist is used to lift a crate weighing 60 kg. what is the tensile stress in the cable, in mpa units?
The tensile stress in the hoist cable in the unit of MPa is 1.6 Mpa.
The cross section rea of the hoist cable is 50mm². So, the area in m² will be 50 x 10⁻⁶ m².
The cable is holding the crate of mass 60kg.
The tensile stress in the cable is calculated by using the formula,
Stress = Force/area
Force = weight of the body,
Weight the weight is given to be 60kg.
Now, putting values in the relation,
Stress = 60/50x10⁻⁶
stress = 1.2 x 10⁶ N/m²
So, the tensile stress in the cable is found to be 1.2 x 10⁶N/m².
Converting into mpa,
1 Mpa = 10⁶ N/m²
So, the tensile stress is 1.6 Mpa.
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at which of the following depths will the dry mantle rock at point x begin to melt if its temperature remains the same?
Typically, the mantle rock begins to melt at a depth of between 25 to 35 km below the Earth's surface, depending on the specific conditions.
The depth at which mantle rock begins to melt is determined by its temperature and pressure. At depths greater than about 60 km, the pressure is high enough to stabilize peridotite, the most abundant mantle rock, in its solid state even at temperatures greater than its melting point. However, at depths of about 200 to 400 km, the temperature is high enough to cause partial melting of the mantle rock. This melting is believed to be the source of magma for most volcanic activity on the Earth's surface.
It is important to note that the mantle rock at point x will not begin to melt if its temperature remains the same. The temperature of the mantle increases with depth due to the heat generated by the Earth's interior. Thus, the mantle rock at deeper depths is hotter and more likely to melt than the mantle rock at shallower depths. In addition, the presence of volatile elements such as water, carbon dioxide, and sulfur can lower the melting point of mantle rock and trigger melting at shallower depths.
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Complete question:
If the dry mantle rock at point X is brought closer to the surface of the Earth and the temperature stays the same, at what depth will it start to melt?
35 km; 25 km; 18 km; and 12 km
A class two lever is where the fulcrum is located at one end and the force applied is at the opposite end.
True
False
Answer:
its true
Explanation:
A Soyuz spacecraft with a mass of 7,200 kg is departing from the International Space Station (ISS). The mass of the ISS is 420,000 kg. The table below shows the magnitude of the gravitational forces each object exerts on each other at various ranges:
Range Force on Soyuz Force on ISS
100 m 2.0 E−5 N 5.4 E−8 N
200 m 5.6 E−6 N 5.6 E−6 N
500 m 8.1 E−7 N 3.5 E−6 N
1,000 m 2.0 E−7 N 1.4 E−7 N
Which of the following table entries is correct for their interaction?
Group of answer choices
500 m
100 m
200 m
1,000 m
The correct table entry for the interaction between the Soyuz spacecraft and the ISS is "500 m", first option.
How to find Range force?The correct table entry for the interaction between the Soyuz spacecraft and the ISS at 500 m can be found by looking at the Range column in the table and finding the row where the range is 500 m.
In that row, the values for the "Force on Soyuz" and "Force on ISS" can be found. In this case, the values are 8.1 E−7 N and 3.5 E−6 N, respectively.
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2. A force of 60 N is exerted on one end of a 1.0-m-long
lever. The other end of the lever is attached to a rotat-
ing rod that is perpendicular to the lever. By pushing
down on the end of the lever, you can rotate the rod.
If the force on the lever is exerted at an angle of 30°
to the perpendicular to the lever, what torque is
exerted on the rod? (sin 30° = 0.5; cos 30° = 0.87;
tan 30° = 0.58)
A. 30 N
B.
52 N
C.
D.
60 N
69 N
The torque applied on the rotating rod is 30 N-m.
What is torque?The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction.
Applied force = 60 N
distance = 1.0 m
the force on the lever is exerted at an angle of 30°
sin 30° = 0.5
Hence, the torque applied on the rod = force × distance × sin30°
= 60 N × 1.0 m × 0.50
= 30 N-m.
Hence, the torque applied on the rotating rod is 30 N-m.
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The way scientists know that a hypothesis in astronomy is a reasonable description of nature is to a. take a vote of astronomers around the world b. consult with the oldest experts in the field c. do experiments and observations about the predictions of the hypothesis d. count how many scientific papers have been written about it e. look it up in Wikipedia
Make observations and experiments to test the hypothesis' predictions. A hypothesis is an explanation that is put forth for a set of measurements.
What is the astronomical scientific method?It is the procedure scientists employ to produce a model of the cosmos that is as precise, consistent, dependable, and non-arbitrary as is practical. Various theories are put forth by scientists. Through these experiments, the undesirables are eliminated.
What are the natural laws of astronomy?Four fundamental forces control all interactions in the universe. On a global scale, gravity and electromagnetic forces are in charge, while the strong and weak forces regulate the microscopic world of the atomic nucleus.
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if an object with amass of 1 kg weighs 8.9N on venus, what will the space traveĺler be on mass.
The weight of the space traveler on mars is 3.7 N.
What is the weight of the object on mars?
The weight of an object is the measure of force of gravity on the object.
The weight of an object increases with increase in acceleration due to gravity since the mass of an object is always constant.
Mathematically, the formula for weight is given as;
W = mg
where;
m is massg is acceleration due to gravityThe acceleration due to gravity on mars = 3.7 m/s²
The weight of the space traveler on mars is calculated as;
W = 1 x 3.7
W = 3.7 N
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A proton is released from rest in a uniform electric field of magnitude 349 N/C.
(a) Find the electric force on the proton. (N)
(b) Find the acceleration of the proton (m/s2 )
(c) Find the distance it travels in 2.04 µs. (cm)
The proton will migrate the direction of the electric field after being released from rest in a uniform electric field since the charge moves in the direction of the electric field. so the correct answer will be 6.956cm.
What will the positive charge's subsequent motion be when it is liberated from rest in the uniform electric field?The electrostatic force acting on the positive charge causes it to travel along the direction of the electric field when it is released from rest in the uniform electric field, not in the opposite direction.
Why does an electric field exist?Electric charges and shifting magnetic fields produce electric fields. An electric field will be present in conjunction with an electric charge or a group of charges. Any charged object positioned in this field will encounter an electrostatic force as a result of the field's interaction with the object's charge.
A) E = F/q
349 = F / 1.602e-19
F = 5.591 e -17 N
B) F = ma
5.591e-17 = 1.6726e-27 x a
a = 6.264e-17 / 1.6726e-27
= 3.343e10 m/s/s
C) s = ut + 1/2 at2
= 0 + 0.5 x 3.343e10 x (2.04e-6)^2
= 0.06956 m
= 6.956cm
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The figures below show 3 separate situations where two electric charges are separated by the same short distance. All electric charges exert forces on each other. In which of the figures does charge A exert a larger force on charge B than charge Bexerts on charge A?
Because the coulomb force between two charges A and B is the same.
Any two charges are subjected to equal and opposing forces.
What is meant by coulombic force?Coulomb force is the attraction or repulsion of particles or objects due to their electric charge. It is also known as electrostatic force or Coulomb interaction. The electric force is named after a French physicist, Charles-Augustin de Coulomb, who published the results of an experimental inquiry into the precise quantitative description of this force in 1785.
Two like electric charges repel each other along a straight line between their centres, whether they are positive or negative. Two opposing charges, one positive and one negative, are attracted to each other along a straight line connecting their centres. The electric force works between charges over distances of at least 10-16 metres.
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Complete question is
FILL IN THE BLANK a _____ is used to send a test packet, or echo packet, to a machine to determine if the machine is reachable and how long the packet takes to reach the machine.
A ping is used to send a test packet, also known as an echo packet, to a machine in order to see if it can be reached and how long it takes for the packet to get there.
To send a test network packet, what command is used?PING - To transmit test packets to a specific device, use the PING command. If you receive a response, you may be certain that the two devices are physically connected. In the event that nothing is returned, there might be a problem with the physical connection.
What method does a criminal employ to store information where it is unlikely that an investigator will locate it?Typical methods include the following: backward steganography Data can be concealed using steganography in any kind of digital file, message, or data stream.
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a horizontally directed 15-n force pushes a 5-kg block across the floor at a constant velocity what is the objects weight
The weight of the object is 5 kg x 9.8 m/s² = 49 N (Newtons), assuming standard acceleration due to gravity of 9.8 m/s². The horizontal force of 15 N is acting on the object at a constant velocity, so the net force on the object is 0 N, which means that the object is in a state of balanced forces.
Weight is a measure of the force of gravity acting on an object. It is determined by multiplying the mass of an object by the acceleration due to gravity, which is typically 9.8 m/s² on the surface of the Earth.
W = m x g
W = 5 kg x 9.8 m/s² = 49 N
Weight is a scalar quantity and is expressed in units of Newtons (N) or pounds. An object's weight is dependent on its mass and the strength of the gravitational field it is in. Objects with greater mass have greater weight, and the weight of an object decreases as it moves away from the center of a gravitational field, such as moving from the surface of the Earth to space.
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Calculate the force applied in newtons if a pressure of 6000 PA is acting on an area of 15 M to calculate
The required force has to be applied on the object is 90000 Newton.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
The pressure applied on the object = 6000 Pa
The surface area of the object = 15 m²
Hence, the required force applied on the object = 6000 × 15 Newton.
= 90000 Newton.
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How are ponds and lakes similar?
Both contain salt water.
Both contain freshwater.
Both are affected by tides.
Both are affected by waves.
Answer:They all are water
Explanation:
Answer:
Officiellement il n'existe aucune différance entre un lac et un étang se qui fait que les deux contiennent de l'eau douce
Explanation:
Voila j'espère que je t'ai aider!
i need answer for this question
The electric potential decreases when the charges are moved apart.
What is electric potential?Electric potential, also known as voltage, is a scalar quantity that represents the potential energy per unit charge that an electric charge would have in a given electric field. It is a measure of the electric potential energy available to do work on an electric charge when it is moved within an electric field.
Electric potential is an important concept in electromagnetism and electrical engineering, as it is related to the forces that electric charges experience in an electric field and is used to calculate the energy required to move charges in a circuit.
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when a bowling ball hits a pin, the magnitude of the change in momentum of the pin is that of the bowling ball.
This statement is incorrect. The magnitude of the change in momentum of the pin is not equal to that of the bowling ball.
When a bowling ball hits a pin, the pin and the ball both experience a change in momentum, or a force over a certain time interval. The change in momentum of the pin will be equal and opposite to that of the ball, as stated by Newton's Third Law of Motion: "For every action, there is an equal and opposite reaction." However, the magnitudes of the change in momentum of the pin and the ball will not be equal because the mass of the pin is much smaller than that of the ball. The change in momentum is proportional to the mass and velocity of an object, so a lighter object will experience a smaller change in momentum, even if it is acted upon by the same force over the same time interval as a heavier object.
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Is this statement correct?
when a bowling ball hits a pin, the magnitude of the change in momentum of the pin is that of the bowling ball.
a cart on a track is moving to the left. the cart is being pushed by an air current so that its speed is increasing as it moves to the left. which of the following are the correct signs of the velocity v and acceleration a of the cart? consider the right to be the positive direction. v a i. positive positive ii. positive negative iii. negative positive iv. negative negative
It is unclear if the object's speed is rising or falling, but its velocity is fluctuating.
What is speed and what is its unit?The directional velocity of an item in motion, as defined by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity. Velocity is a unit of measurement for motion that begins in one location and moves to another. There are countless practical uses for velocity, but among the most frequent ones is figuring out how fast you (or anything that is motion) will go from one place to another.
Measurement speed in meters per second techtarget.com
Measurements: L T 1
Added units mph and ft/s
In base SI units: m/s\s\ Overline v equals average velocity, Delta x equals displacement, and Delta t equals change in time.
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Compute the magnitude of the resultant R of the forces exerted on the screw eye
The resultant R of the forces exerted on the screw eye is 357.77 lb.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
The resultant R of the forces exerted on the screw eye = √(200² + 200² +2×200×200 × (3/5)) lb
= 357.77 lb
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henry heavyweight weighs 1400 n and stands on a pair of bathroom scales so that one scale reads twice as much as the other. part a what is the greater scale reading? express your answer to two significant figures and include the appropriate units. activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type w1
Let w1 represent the weight reading that is two times higher than the other on the scale. On the other scale, it says w2.
W1 = 2w2 because w1 equals w2 times two.
We obtain w1 + w2 = 1400 N by adding this to Henry's weight of 1400 N.
We discover that w1 = 1000 N after solving for it.
What is the greater scale's newton reading?
The greater scale reading is 1400 N / 2 = 700 N in newtons. This is due to the fact that one scale registers Henry Heavyweight's weight as 700 N, which means it reads twice as much as the other scale. In order to arrive at this reading, we first calculated Henry's weight in newtons (1400 N), then divided that number by two to arrive at thereading of the
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2. Viewed from somewhere in space above the Earth’s north pole, would a point on the Earth’s equator have a positive or negative angular velocity due to the Earth’s motion? Explain.
Viewed from somewhere in space above the Earth’s north pole, the Earth’s equator have a positive angular velocity.
What is the Earth’s north pole?A point on the Earth's equator would have a positive angular velocity due to the Earth's motion when viewed from above the Earth's north pole.
We have to note that the earth would have a north pole and a south pole. The mid point of the earth is what we call the equator and the equator is positioned at the center.
In space, we can be able to see the correct shape of the earth as well as the position of the equator.
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one ball straight down, one down at angle, one sliding down on incline (frictionless) when do these objects hit the ground
If all objects were dropped from the same height and in a vacuum (no friction and no air resistance), then all three objects would hit the ground at the same time, regardless of their initial angle or tilt. This is because the only force acting on objects is gravity, which is a constant acceleration, causing all objects to fall at the same rate.
Gravity is the force of attraction between two masses. It's the reason things fall to the ground when they're dropped, and why planets orbit the sun. The strength of the gravitational force between two objects depends on their masses and the distance between them. The force of gravity is explained by the law of universal gravitation, which was first formulated by Sir Isaac Newton.
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A skier of mass m starts from rest at the top of a solid sphere of radius r and slides down its frictionless surface. At what angle (theta) will the skier leave the sphere?
SOLUTION:
The angle (theta) at which the skier leaves the sphere is arc tan (ω).
The angle (theta) at which the skier will leave the sphere is determined by the conservation of angular momentum:
L = mvr = mr²ω,
where v is the skier's velocity, r is the radius of the sphere, and ω is the angular velocity of the skier.
By conservation of angular momentum, we have:
L = mr²ω = constant
Since the skier starts from rest, v = 0, and ω = 0. As the skier slides down the sphere, v increases, and ω decreases. Thus, to conserve angular momentum, theta must also decrease.
At the bottom of the sphere, v = rω, so the angle (theta) at which the skier leaves the sphere is:
theta = arc tan (v/r) = arc tan (rω/r) = arc tan (ω).
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A uniform electric field of magnitude 640 N/C exists between two parallel plates that are 4.40 cm apart. A proton is released from the positive plate at the same instant that an electron is released from the negative plate. (a) Determine the distance from the positive plate at which the two pass each other. (Ignore the electrical attraction between the proton and electron.) Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.
The distance from the positive plate at which the two pass each other is 2.39 μm.
What mathematical equation describes an even electric field between two parallel plates?With a voltmeter, the difference in electric potential energy is measured in volts. By aligning two substantial flat conducting plates parallel to one another, a continuous electric field can be created. V = E d is the formula for the electrical potential difference in a uniform electric field.
we have the:-
F = q E
F =1.6e-(19 * 640)= 1.024e-16 N
ap = F/mp
ap = 1.024e-16/1.673e-27) = 6.1207e10 m/s2
now for distance of plate
ae = F/me
ae = 1.024e-16/(9.109e-31) = 1.12416e14 m/s2
xp = 0.5 ap t2 = 0.5 * (6.1207e10) * t2 = 3.0604e10 t2
xe = 0.5 ae t2 = 0.5 * (1.12416e14) * t2 = 0.56208e14 t2
(xp + xe) = 4.4 cm = 4.4e-2 m
(3.0604e10) t2 + (0.56208e14) t2 = 4.4e-2
(5.6239e14) t2 = 4.4e-2
t = 8.8452e-9 s
xp = 0.5 ap t2 = 0.5 * (6.1207e10) * (8.8452e-9*8.8452e-9)
xp = 2.39 μm
The distance from the positive plate at which the two pass each other is xp = 2.39 μm
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