An object is located 50.0cm from a converging lens having a focal length of 15.0cm. Which of the following statements is true regarding the image formed by the lens?
A. It is virtual, upright, and larger than the object
B. It is real, inverted, and smaller than the object.
C. It is virtual, inverted, and smaller than the object.
D. It is real, inverted, and larger than the object.
Statements that is true regarding the image formed by the lens is real, inverted and smaller than the object.
What is converging lens?Lens that converges rays of light that are traveling parallel to its principal axis is called converging lens. Converging lens is identified by their shape. They are thick across the middle and thin at the upper and lower edges.
Given; focal length= 15cm , p = 15cm
1/p + 1/q = 1/f
1/50+ 1/q= 1/15
q =21.4cm
Magnification, M=−q/p
=−0.429
Positive image distance implies that image is real and negative magnification confirms that image is inverted. M = -0.429 implies that image is smaller than object.
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Derrick created a table of his observations from one trial of an investigation into whether a charged object will attract or repel an uncharged object. Which statement best explains an incorrect conclusion you might believe without repeated trials? object trial 1 negatively charged attract positively charged nothing (2 points) O negatively charged objects repel uncharged objects. O negatively charged objects are attracted to uncharged objects. O positively charged objects do not attract or repel an uncharged object. O positively and negatively charged objects react differently to uncharged objects
The correct option for the question is an option (c) positively charged objects do not attract or repel an uncharged object.
The analysis of stationary electrically charged particles is known as electrostatics. The charge attached to matter, which causes it to produce and feel magnetic and electric activity, is known as the electric charge.
Paper scraps are drawn to a plastic rod when brushed with fur, and a glass rod when rubbed with silk, demonstrating the electrical charge of both rods.
According to Coulomb's law, two particles with the same charge repel one another while those that have the opposite charge attract one another. Between two charged particles, there is a considerably stronger electric force in comparison to the gravitational force.
Hence, the positively charged objects do not attract or repel an uncharged object. The right answer is option C.
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Air trapped inside a single-piston-cylinder exerts a pressure of 760 mmHg. If its volume is increased by 20% at a constant temperature, the pressure exerted would be equal to
he change in the pressure of the air trapped in the cylinder if its volume is increased by 20% at a constant temperature is 745 mmHg.
What is the change in the pressure of the air trapped in the cylinder?The change in the pressure of the air trapped in the cylinder if its volume is increased by 20% at a constant temperature is calculated from Boyle's law equation as follows:
The Boyle's law equation is given as follows:
P₁V₁ = P₂V₂
where;
P₁ is the initial pressure
V₁ is the initial volume
P₂ is the final pressure
V₂ is the final volume
From the data given,
P₁ = 760 mmHg
V₁ = V
P₂ = ?
V₂ = V + 0.2 V
V₂ = 1.02 V
P₂ = 760 * V / 1.02 V
P₂ = 745 mmHg
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Which of the following statements regarding the Roman use of concrete as a building material is FALSE?
O Concrete made rounded arches and curved buildings possible.
O Concrete was cheaper than cut stone.
O Concrete was more difficult to use than cut stone.
O Concrete required the use of less-skilled labor.
The Romans invented a new concrete recipe that combined pozzolana, a fine volcanic ash found in Southern Italy, with lime and water to make a strong, resistant kind of concrete.
The Roman term for concrete was opus caementicium, which meant that it was mixed with small stones. The Roman Empire's preferred building material was concrete. It has been utilized in monuments such as Rome's Pantheon, as well as wharves, breakwaters, and other harbor buildings. This is why concrete does not last as long as natural rocks. However, this is not how Roman concrete works. Theirs was made from volcanic ash, lime, and seawater, utilizing a chemical reaction that Romans may have observed in naturally cemented volcanic ash deposits known as tuff rocks.
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a load of 20kg is applied to the ends of wire 4m along and produce an extension of 0.24mm if the diameter of the wire is 2mm find the stress on the wire and strain producers
Answer:
Explanation: Force = mg as the wire is fixed at one point and the load is inserted at one end.
g=9.8m/s²
F= mg
F= 20×9.8= 19.6 newton
Strain= Δl/L
where Δl= change in length
and L= original length
Strain = 0.24×0.001 m/4m
Strain=0.00006
Stress= F/A
where A = cross sectional area
therefore A = π× (diametre/2)²
A=3.14×1²≈3.14 mm²= 0.000000314m²
Stress = 19.6/0.000000314=62420382 Pascal
shows a plot of potential energy u versus position x of a 0.200 kg particle that can travel only along an x axis under the influence
The plot of U versus x is given in the attachment below. The speed of the particle at x = 3.5 m is 8.37 m/s.
Here, the mechanical energy remains constant as the particle moves.
As, the mechanical energy is conserved, we can write, Ub + Kb = Ua + Ka
Making Ka as subject, we have,
Ka = Ub + Kb - Ua = 12 + 4 - 9 = 7 J
We know that, Ka = [m* (va)²]/2
The speed of the particle at x = 3.5m (within region A) is
va = √(2* Ka)/m = √(2* 7)0.2 = 8.37 m/s.
Thus, the speed at x = 3.5m is 8.37 m/s.
The question is incomplete. The complete question is ' Figure 8−49 shows a plot of potential energy U versus position x of a 0.200kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values : Ua = 9.00 J, Uc = 20.00 J, and Ud = 24.00 J. The particle is released at the point where U forms a potential hill of height Ub = 12.00 J, with kinetic energy 4.00 J. What is the speed of the particle at x = 3.5 m. The attachment below has the missing plot.
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Which formula gives the displacement of a ball At seconds after it is thrown vertically upward (positive
direction) at an initial velocity, vi
Answer:
Δy = viy t + (1/2)gt^2
Explanation:
[tex]y = y_{i}+v_{iy}_t + (1/2)a_{y}t^{2}[/tex]
Δy = viy t + (1/2)gt^2
Two cars collide head on while each is traveling at 50 km/h . Suppose all their kinetic energy is transformed into the thermal energy of the wrecks. What is the temperature increase of each car? Part A You can assume that each car's specific heat is that of iron
The temperature increase of each car will be 0.42 degree celcius
Describe kinetic energy.
The energy of motion, or kinetic energy, can be seen in the movement of an item or subatomic particle. Kinetic energy is present in every moving object and particle.
Thermal energy is the term used to describe the energy present in a system that determines its temperature. The movement of thermal energy is heat.
Energy cannot be created or destroyed; it can only be changed from one form of energy to another, according to the law of conservation of energy. This implies that a system always possesses the same amount of energy, barring external energy addition.
v is 50km/h i.e. 13.889m/s
K=1/2mv2
Q=mcΔT
c = 450
1/2mv2=mcΔT
∴ ΔT=v2/2c
ΔT= 13.88*13.88/ 450
ΔT= 0.42 degree celcius
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A recreational vehicle in the amusement park is traveling on a frictionless track that can make a circular loop as shown in the figure below. The vehicle is released from a point A at a height h from the base of the circular section of the track. (a) What must be the minimum height h required for the vehicle to complete the circular section of the track at point B without falling? If h= 3.50 R and R=20 m, calculate the speed, centripetal acceleration and tangential acceleration of the occupants while the vehicle is at point C (point C is in the horizontal diameter direction).
The minimum height that the block must start to make it around the loop without falling off is h = 5R/2
What is present inside the circular loop?The block slides are around the inside of a circular loop. This shows that or it means that we are dealing with critical velocity in vertical circular motion.
In the critical velocity in the vertical circular motion, the formula for the minimum velocity just at the lowest Point of the vertical circle required to get the critical velocity at the highest point is given as;
v = √(5gR)
Therefore, m will cancel out to give;
½v² = gh
Plugging in the relevant values gives;
½ × [√(5gR)]² = gh
Simplify to get;
5gR = 2gh
g will cancel out to get;
5R = 2h
h = 5R/2
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Three rods, each of mass m and length l are joined together to form a n equilateral triangle Find the moment of inertia of the system about an axis passing through its centre mass and perpendicular to the plane of the triangle.also find the radius of gyration about the same axis
The moment of inertia of the system is I = 3ml^2/4 and the radius of gyration is r = l/2√3.
To find the moment of inertia of the system, we need to consider the contributions of each rod to the overall rotational inertia. The moment of inertia of a rod about an axis passing through its center of mass and perpendicular to its length is given by I = ml^2/12. Since there are three rods in the system, the total moment of inertia is I = 3ml^2/12 = 3ml^2/4.
The radius of gyration is a measure of how far the mass of the object is distributed from the axis of rotation. For an object with uniform mass distribution, the radius of gyration is given by r = √(I/m). In this case, the mass of the system is 3m, so the radius of gyration is
r = √[(3ml^2/4)/(3m)] = √(3l^2/4) = l/2√3.This is the distance from the center of mass to the point where the mass of the system can be considered to be concentrated for the purpose of calculating rotational dynamics.
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A 42.4 N block is sliding down an inclined plane with a constant speed. The kinetic friction acting on the block is N.
When a mass m particle is released onto a smooth inclined plane (where the frictional force F=0), it will glide down the slope.
We resolve in the direction of motion in order to get the particle's sliding acceleration.
F=ma,
mg cos(90∘−θ)=ma,
g cos(90∘−θ)=a,
g sin(θ)=a.
How many Newtons is the net force while the block is travelling at a constant speed?
Zero. Newton's first law of motion states that any object travelling at a constant speed experiences no net external forces, hence the total amount of forces acting on the object must be zero. The mathematical expression for an item being under no net external force is Fnet=0 or F=0.
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alex thinks 131 degrees are neat. what is the maximum number of interior angles of a convex n-gon that can measure 131 degrees?
A polygon whose internal angles are all less than 180 degrees is referred to as a convex n-gon. The same can be computed as:
The formula (n-2) × 180 degrees, where n is the number of sides in the polygon, gives the sum of the measures of the interior angles of a convex n-gon.
The total of the measures of the remaining (n-x) angles must equal (n-2) × 180 - 131x degrees if x is the number of internal angles of the n-gon that measure 131 degrees. Since the internal angles of a convex n-gon must have measures that are less than 180 degrees,
this implies that
(n-2)180 - 131x < (n-x)180
Solving this inequality for x,
we find that
[tex]x < \frac{(n-2)}{3}[/tex]
Therefore, the maximum number of interior angles of a convex n-gon that can measure 131 degrees is (n-2)/3.
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Which of the following works of art is from the Amarna Period? How to: Items can be selected or deselected by clicking anywhere on the box. Selected items are highlighted in blue. 1 2 3 4
Work of art from the Amarna Period that is abstract or descriptive in nature.
What modifications did the Amarna Period bring to the arts?That momentarily altered during the Amarna Period. The neck, arms, and hands were among the longer characteristics on the body. The traditional Egyptian painting form was briefly replaced by this strange new art form, which resulted in portraits of people that were virtually caricatures.
What is renowned about the Amarna Period?Religious iconoclasts are associated with the Amarna Period. Because he only worshiped the Aten, the pharaoh Amenhotep IV changed his name to Akhenaten. At Tell el-Amarna in Middle Egypt, he constructed a brand-new capital and cemetery.
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Xiao,a 7-year-old Chinese child,and Jess,a 7-year-old American child,are each listening to an audio tape in their individual rooms.At one point,the audio on both tapes gets covered by static.
Xiao speculates that the unheard portion refers to a verb, whereas Jess speculates that it relates to a noun.
What does the term "audio" mean?Anything related to sound in terms of receiving, transmitting, reproducing, or its particular frequency is referred to as audio. A stereo is an illustration of an audio object. YourDictionary.
Do physical audio speakers work well?Audio Physical loudspeakers enjoy a solid reputation among music enthusiasts and are renowned for both their performance and high-quality design. Throughout the more than 30 years of the marque, this history of quality has persisted despite some more difficult times.
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In an experiment, a student measured the volume of a substance while the mass was changed. The student measured up to five kilograms. The graph of the data is plotted below.
A volume versus mass graph is shown with mass on the vertical axes from 1 to 10 kilograms and volume on the horizontal axis from 1 to 5 milliliters. A line from the origin through all points and beyond.
Which of the following is an error the student made in creating an accurate graph?
The axes and graph are based only on measured values.
The axes are labeled with the incorrect variables.
The plotted points do not show all data collected.
The title has the incorrect order for the variables.
Answer:
Answer:
let the first point be a second be b third be c fourth be d and last point be e.
The point a and d are incorrect. because tye plotting of the is incorrect
A mass on a spring undergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocity A) is zero. B) is less than maximum, but not zero. C) is maximum D) cannot be determined without mass information given. E) cannot be determined without spring constant information given.
When the mass is at its maximum displacement from equilibrium, the instantaneous velocity 'is zero'.
What is velocity?
A measure of a moving object's speed and direction is called velocity. It can be expressed as a vector quantity with direction and magnitude (speed).
According to the given question:
An object has exhausted all of its potential energy to move when it reaches its maximum displacement from equilibrium. Consequently, the object has zero instantaneous velocity because it lacks momentum to continue moving.
Hence, Option A is correct.
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When a force of 50 Newtons acts on a mass of 10 kg the resulting acceleration
Answer:
The answer is 5 m/s²
Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
where
f is the force
m is the mass
From the question we have
We have the final answer as
5 m/s²
Derive an equation which will give a minimum detectable fractional change in osteopototic bone, assuming,for simplicity a monenerget beam of incident photon.
Explanation:
To derive an equation for the minimum detectable fractional change in osteoporotic bone using a monochromatic beam of incident photons, we can consider the factors that affect the sensitivity of the measurement.
One important factor is the energy resolution of the detector, which determines the ability of the detector to distinguish between different energies of photons. The energy resolution can be represented by the parameter FWHM (full width at half maximum), which is the width of the energy peak at half of its maximum height. A higher FWHM corresponds to a lower energy resolution, which means that the detector is less sensitive to small changes in energy.
Another factor is the intensity of the incident photon beam, which determines the number of photons that are detected by the detector. A higher intensity corresponds to a higher number of photons and a higher signal-to-noise ratio, which makes it easier to detect small changes in the energy of the photons.
We can combine these factors into an equation that represents the minimum detectable fractional change in osteoporotic bone. Let ΔE be the minimum detectable change in energy of the photons, FWHM be the energy resolution of the detector, and I0 be the intensity of the incident photon beam. We can represent the minimum detectable fractional change in the osteoporotic bone as ΔE/E, where E is the average energy of the photons in the incident beam.
Using these variables, we can write the equation as:
ΔE/E = K * FWHM/I0
where K is a constant that depends on the specific properties of the detector and the measurement setup. This equation shows that the minimum detectable fractional change in osteoporotic bone
part a the focal length of david's lens is 40 cm. if rebecca stands in front of david at a distance of do and david perceives the position of rebecca at di, what does do equal if the magnification is -0.45? express your answer with the appropriate units. follow the sign convention. templatessymbols undoredoresetkeyboard shortcutshelp do
When David senses Rebecca's position at di while she is in front of him at a distance of do, di will be +84 cm.
What is the term "focal length" is known for?The focal length of an optical system, which is the inverse of optical power, determines how strongly light converges or diverges. Positive focus length systems are considered to converge light, whilst negative focal length systems are said to diverge light.
Data:-the focus distance is +40 cm
m = -0.45 is the magnification.
positive focal length and a negative magnification.
The lens in question is convex.
for a lens
m = di/do and 1/f = (1/di) - (1/do)di
= -0.4do1/f = (1/-0.4do) - 1/do do
= -210 cmdi = -0.45 * -210
di = +84 cm
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list the 8 types of waves found on the electromagnetic spectrum from longest to shortest wavelength.
The 8 types of waves found on the electromagnetic spectrum, from longest to shortest wavelength, are: Radio waves , Microwaves , Infrared radiation, Visible light, Ultraviolet radiation, X-rays, Gamma rays.
The electromagnetic spectrum is a range of electromagnetic waves that includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.
The wavelength of an electromagnetic wave is the distance between consecutive points of equal phase in the wave. The shorter the wavelength, the higher the frequency of the wave.
Radio waves have the longest wavelength and the lowest frequency of the electromagnetic waves. Gamma rays have the shortest wavelength and the highest frequency.
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We cannot work without friction . why?
Answer:
thing will slide apart
Explanation:
Friction prevents objects from sliding apart. Everything would slide to the lowest point if there was no friction. It would be impossible to scale anything. We will be unable to write without friction.
What is meant by the projectile height?
Answer:
Explanation:
The object's height is the vertical position along its trajectory.
A train travelling along a straight line with constant acceleration is observed to travel consecutive distances of 1km in times of 30s and 60s respectively. Find the initial velocity of the train.
It moves at a pace of 116.7 meters per second at first. The velocity at time t = 0 is known as the initial velocity (u). It is the rate at which motion initially manifests itself.
What is the formula for calculating the starting value?
In mathematics, the initial value of a function represents the function's y-intercept. Beginning values can also be established using the constant in an equation. It helps to comprehend the y-intercept in graph functions.
Is the initial and ultimate velocities the same?
Initial and end velocities are equal. Consequently, there will be no difference at whatever value of "t." Consequently, this establishes that an object's initial velocity is its speed before being affected by acceleration a.
Briefing:
distance(s) = 1km = 1 × 1000m = 1000m
Time(t) = 60– 30 = 30s
initial velocity = u
acceleration (a) = 10m/s
using the formula
S = ut + ½at²
1000 = 30u + ½ × 10 × 30²
1000 = 30u + 5 × 900
1000 = 30u + 4500
30u = 4500 – 1000
30u = 3500
divide both sides by 30
u = 116.7m/s
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Which of the following is a real piece of evidence (from the New Horizons mission) pointing to recent or ongoing geological activity on Pluto?
One piece of evidence from the New Horizons mission that suggests recent or ongoing geological activity on Pluto is the presence of mountains with smooth, sediment-like material on their surfaces.
This material is thought to be composed of water ice that has been altered by geologic processes, such as the flow of glaciers or the collapse of underground caverns.
Other evidence of recent or ongoing geological activity on Pluto includes the presence of ridges, valleys, and other landforms that suggest the existence of tectonic activity, as well as the existence of ice on the surface that has a relatively high surface temperature, indicating that they may have recently been exposed to heat.
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A heavy rock and a light rock are dropped from the same height and experience no significant air resistance as they fall. Which of the following statements about these rocks are correct?O Just as they are about to reach the ground, the heavier rock has more kinetic energy than the lighter rockO The moment they were released, both rocks had the same amount of gravitational potential energy O Both rocks have the same kinetic energy when they reach the ground O The heavier rock reaches the ground before the lighter rock. .O Both rocks different acceleration as they are about to reach the ground
The correct statement about the rocks is Just as they are about to reach the ground, the heavier rock has more kinetic energy than the lighter rock.
As per the known fact, kinetic energy is the product mass, square of velocity and 0.5. Thus, it is due to the motion of object. Potential energy is the product mass, acceleration due to gravity and height. It is due to the height of object.
Also, momentum is another factor that will influence the results in situation mentioned in question. Based on this, momentum is the product of mass and velocity of the object. Considering momentum and kinetic energy, the heavier rock will have more kinetic energy.
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the first modern astronomer to propose a sun-centered universe was . group of answer choices nicolaus copernicus tycho brahe sir isaac newton galileo
The Heliocentric Theory of the world, put forward by Copernicus, held that the sun was the center of the universe and that the earth rotated around it.
What does one newton weigh?In the foot-pound-second (English, or customary) system, one newton is equivalent to around 0.2248 pounds of force or 100,000 dynes in the centimeter-gram-second (CGS) system.
What in physics is a newton?The letter N is frequently used to shorten the phrase "newton" in physics and engineering documents. In the absence of any other forces, one newton is the force necessary to accelerate a mass of one kilogram at a pace of one meter per second squared.
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A beam of electrons moves at velocity 4.6 ⋅105 m/s in the positive x direction through a uniform 2.8 T magnetic field pointing in the positive y direction. What direction does the magnetic force point? +x -x +y -y +z -z What is the magnitude of the force? F
Answer:
The magnetic force on a moving charged particle is given by the Lorentz force law, which states that the force is equal to the product of the particle's charge, its velocity, and the magnetic field. Since the magnetic field points in the positive y direction and the velocity of the electrons is in the positive x direction, the magnetic force on the electrons will point in the negative z direction (assuming we are using the right-hand rule to determine the direction of the force). The magnitude of the force can be found using the formula above: F = q * v * B, where q is the charge on the electrons, v is their velocity, and B is the strength of the magnetic field. The charge on an electron is -1.6 x 10^-19 C, so the magnitude of the force on the electrons will be: F = (-1.6 x 10^-19 C) * (4.6 x 105 m/s) * (2.8 T) = -2.19 x 10^-13 N.
Now attach the 100 g mass to spring 1. Play the simulator. Using the stopwatch, measure the time for 10 complete cycles, (starting from down, lowest position, and then up, then hitting down again: is an example of one complete cycle). Calculate the measured period by dividing the total time by 10. We will call this value Tz. Pause the simulator. Remove the 100 grams mass from the hook of the spring.
By attaching a mass of 100 g too spring 1. Play the simulator. Measure the duration of the stopwatch for 10 full cycles. The measured period by dividing the total time by 10 is 2 seconds.
The period of oscillation of the mass on spring 1, you would need to measure the time it takes for the mass to complete 10 complete cycles. You can do this by starting a stopwatch when the mass is in the down position and stopping the stopwatch when the mass returns to the down position after completing 10 cycles. Once you have measured the total time for 10 complete cycles, you can calculate the period by dividing the total time by 10. For example, if the total time for 10 complete cycles is 20 seconds, then the period would be 20 seconds / 10 = 2 seconds. We will call this value Tz.
After measuring the period of oscillation of the mass on spring 1, you should pause the simulator and remove the mass from the hook of the spring. This will allow you to perform any additional measurements or calculations without interference from the mass.
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TRUE OR FALSE. air pollutant formed in the atmosphere as a result of the chemical or the physical interactions between the primary pollutants themselves or between the primary pollutants and other atmospheric components.
A secondary pollutant is a type of air pollutant that is created in the atmosphere as a result of chemical or physical interactions here between primary pollutants or between the primary pollutants themselves.
What are air contaminants and what harm do they cause?Surfaces of both water and soil can become contaminated by air pollution. This may cause crop death or lower crop yield. Young plants as well as trees can die as a result. Acid rain can be produced when airborne sulfur dioxide and nitrogen oxides particles combine with atmospheric water and oxygen.
An air pollutant is defined as what?Gases and solid particles in the air combine to create air pollution. Particles may include exhaust from cars, industrial chemicals, dust, pollen, and mold spores. A significant contributor to urban air pollution is the gas ozone. Smog is the term used to describe ozone-based air pollution. There are certain toxic air contaminants.
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a tennis ball is swung in a horizontal circle by a string. if the string is broken, which picture correctly shows the path the ball will take?
Initially rolling inside a horizontal circle five meters above the ground at a speed of two meters per second, the ball breaks the string as it approaches true North. Though it is falling, it is still heading in the direction
Why does string theory defy physics?The lower string, however, is the one that snaps if it is forcefully yanked. The prevailing theory holds that the mass's inertia prevents it from moving and, as a result, from pulling on the top string.
Which string will finally snap?If both strings are equally strong, the top string will break sooner. However, a change in tension from the lower string takes a moment to transfer because of the inertia of a hanging object.
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