The new period would be T/2.
The period of a simple pendulum is given by T = 2π √(L/g), where,
L is the length of the pendulum g is the acceleration due to gravity.When the string is clamped at its midpoint, the length of the pendulum is effectively halved.
So the new period would be T' = 2π √(L/2g) =π √(L/g) = T/2.
Period of Simple Pendulum:
The period of a simple pendulum is the time it takes for the pendulum to complete one full oscillation, or swing back and forth. It is determined by the length of the pendulum (L) and the acceleration due to gravity (g). The mathematical formula for the period of a simple pendulum is T = 2π √(L/g).The length L of the pendulum is the distance from the pivot point (the point at which the pendulum is attached) to the center of mass of the pendulum bob (the weight at the bottom of the pendulum). The longer the pendulum, the longer the period will be.The acceleration due to gravity (g) is a constant value of approximately 9.8 m/s^2 on the surface of the Earth. The value of g is used in the formula because the force of gravity is what causes the pendulum to oscillate.It's important to note that the period of a simple pendulum is independent of the amplitude of the oscillations (the angle at the pendulum is displaced from its equilibrium position), as long as the amplitude is small enough that the pendulum's motion can be considered simple harmonic motion.Learn more about Simple Pendulum here;
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suggest how the thermal conductivity of a metal depends on its temperature
Answer:
With an increase in temperature, the electrical conductivity of a pure metal decreases. This implies that the thermal conductivity of the pure metal shows little variance with an increase in temperature. However, a sharp decrease is observed when temperatures approach 0K
If researchers failed to take into account the effect of air resistance on the pitch, how would it impact their measurements of the efficiency of energy transfer from the arm to the baseball
The efficiency of energy transfer from the arm to the baseball would be lower than the actual efficiency, as there was a higher initial velocity at release.
In order to answer this question, we must look at the experimental design and assess how air resistance would affect the scientists' computations. The ball's velocity would be reduced as it moved from the mound to home plate, where the velocity was measured, due to air resistance.
Therefore, the measured velocity ought to be lower than the release velocity. As a result of the baseball's predicted energy being lower due to the lowered velocity, the efficiency of the energy transfer from the arm to the ball will also be lower.
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an object moves 15 meters in 3 seconds. what is its velocity (in m/s)?
Important Formulas:
[tex]v=\dfrac{d}{t}[/tex]
velocity(measured in m/s) = distance(measured in meters) / time(measured in seconds)
__________________________________________________________
Given:
[tex]d=15m[/tex]
[tex]t=3s[/tex]
[tex]v=?[/tex]
__________________________________________________________
Finding velocity:
[tex]v=\dfrac{d}{t}[/tex]
[tex]v=\dfrac{15}{3}[/tex]
__________________________________________________________
[tex]\fbox{v = 5 m/s}[/tex]
Glands that excrete salt in the mangroves are examples of
Glands that excrete salt in the mangroves are examples of adaptions.
What is adaptions?The meaning of adaptation implies how a species changes its body and behaviour to better suit its natural environment. There are an estimated 8.7 million species currently living on earth. They are found across a wide and diverse natural environment, ranging from frozen and desolate Arctics to the sweltering sands of the Sahara.The natural environment is an ever-changing feature of planet earth. The process of adaptation ensures that the species which adapts the most, survive.Read on to explore plant and animal adaptations across the wide ranges of landscapes.In biology, adaptation has three related meanings. Firstly, it is the dynamic evolutionary process of natural selection that fits organisms to their environment, enhancing their evolutionary fitness. Secondly, it is a state reached by the population during that process.
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Using the conductor sizing guide, what conductor ampacity is needed for a 10-horsepower, 230-volt, single-phase motor: a.50 A
b.60 A
c.62.5 A
d.87.5 A
The correct conductor ampacity for a 10-horsepower, 230-volt, single-phase motor is option c. 62.5 A.
The ampacity of a conductor is a measure of the maximum amount of electrical current that can flow through it safely. The ampacity required for a motor is based on the size of the motor and the voltage of the electrical system. There are standard methods for determining the minimum ampacity for a given motor and voltage, such as the National Electric Code (NEC) and the American National Standards Institute (ANSI). The NEC and ANSI both state that the minimum ampacity for a 10-horsepower, 230-volt, single-phase motor is 62.5 amperes. It's important to note that using a conductor with ampacity lower than the recommended one may cause the motor to overheat and fail, leading to damage or even fire hazard.
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Eileen is holding a pillow with a mass of 0.30 kg when Stephanie decides she wants it and tries to pull it way from Eileen. If Stephanie pulls horizontally on the pillow with a force of 10.0 N and Eileen pulls with a horizontal force of 11.0 N, what is the magnitude of the net acceleration of the pillow
The magnitude of the net acceleration of the pillow is 3.333 m/s^2 .
How do you determine the magnitude of the net acceleration?To determine the magnitude of the net acceleration of the pillow, we can use Newton's Second Law of Motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration:
Fnet = ma
where
Fnet = net force acting on the pillow
m = mass of the pillow (0.30 kg)
a = acceleration of the pillow
Fnet = FStephanie - FEileen = 10 N - 11 N = -1 N
So, the net force acting on the pillow is -1N
Now, we can use Newton's Second law to find the acceleration of the pillow
a = Fnet/m = -1 N / 0.3 kg = -3.333 m/s^2
Therefore, the magnitude of the net acceleration of the pillow is 3.333 m/s^2 .
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30 points!
Which option best describes a planet with the highest gravity?
a small, high mass planet
a large, low mass planet
a large, high mass planet
a small, low mass planet
Answer:
F = G M m / R^2 or g = F/ m = G M / R^2
(A) A small high mass planet obviously fits the first description.
1. There are only two factors that affect your environment. (1 point)
O True
OFalse
2. Seasonal changes impact the environment. (1 point)
True
OFalse
3. Plants in a room can actually improve air quality. (1 point)
O True
OFalse
4. Scientists are not concerned with the human impact on the environment.
True
OFalse
5. Land environments are different than water environments. (1 point)
True
False
(1 point)
Seasonal changes impact the environment. is There are only two factors that affect your environment.
What is seasonal behavior?Seasonal affective disorder, a clinically diagnosed syndrome, is believed to represent the morbid extreme of a spectrum of seasonality. Two types of seasonality have been clinically described: one characterized by a winter pattern and a second by a summer pattern of depressive mood disturbance.
Does seasonal mean every year?Seasonality is a characteristic of a time series in which the data experiences regular and predictable changes that recur every calendar year. Any predictable fluctuation or pattern that recurs or repeats over a one-year period is said to be seasonal.
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A ? is a distortion in a voltage waveform where the voltage quickly drops toward zero and then returns to the correct value.
"A notch is a distortion in a voltage waveform where the voltage quickly drops toward zero and then returns to the correct value."
In general, the primary overcurrent device is not considered to safeguard transformer secondary wires. Transformers with two windings are all isolation transformers.
A voltage waveform distortion known as notching is brought on by intense current bursts of very short duration. These distortions generally show up graphically as a notch in the waveform's time domain representation.
When current commutates from one phase to another during normal operation of power electronic devices, a sort of periodic waveform distortion called voltage notching is created. The most significant instance of voltage notching occurs in three-phase converters. The transition of the current from one phase to another causes the notches.
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What happens to the magnitude of the torque if the angle increases toward 90?
The magnitude of the torque will increase as the angle between the force and the line of action of the torque approaches 90 degrees.
Torque is a measure of the rotational force acting on an object and is defined as the product of the force and the distance from the axis of rotation to the point where the force is applied. The torque is also proportional to the sine of the angle between the force and the line of action of the torque.
When the angle between the force and the line of action of the torque is 0 degrees, the torque is zero, as the force is acting in the same direction as the line of action of the torque. As the angle increases, the torque increases and reaches its maximum value when the angle is 90 degrees, at this point the sine of the angle is 1, so the torque is at its maximum value.
In practical terms, if you imagine a door knob, when you push or pull the door knob closer to 90 degree angle with the door, it will be harder to open or close the door, than when you push or pull the door knob at a small angle.
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How do you calculate torque of a shaft?
Divide the radius by the shear stress and the polar moment of inertia to find the shaft torque.
A device that measures shaft torque records the degree to which a shaft will twist in the presence of a specific amount of force. A shaft will twist less than one with a torque of 3 degrees than one with a torque of 5 degrees, and so on.
Does torque equate to rotation?The rotating equivalent of force is torque. So an object will rotate with an angular acceleration in response to a net torque. A torque must be described about the rotational axis since every rotational motion has an axis of rotation. A torque is an applied force that rotates an object about its axis.
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Where the ungrounded conductors for a 225-ampere feeder are increased in size from 250 kcmil copper to 800 kcmil copper due to length, what is the minimum-size copper equipment grounding conductor required for the circuit?
The minimum-size copper equipment grounding conductor required for the circuit is 1/0 kcmil.
The NEC (National Electric Code) provides guidelines for the minimum size of equipment grounding conductors.The minimum size of the equipment grounding conductor is based on the ampacity of the feeder circuit.In this case, the ampacity of the feeder circuit is 225 amperes.The conductors for the feeder circuit have been increased in size from 250 kcmil to 800 kcmil due to the length of the circuit.According to the NEC (National Electric Code), the minimum size copper equipment grounding conductor required for a 225-ampere feeder circuit where the conductors have been increased in size from 250 kcmil to 800 kcmil due to length would be 1/0 kcmil.Learn more about conductors here:
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How much heat is required to be removed from a 8kg liquid water at 33 °C to be transformed into ice at 0 °C?
The Total heat required to transform 8 kg of liquid water at 33 °C to the ice at 0 °C is 13,019 J.
The heat required to be removed from a liquid to transform it into a solid is called the heat of fusion. For water, the heat of fusion is approximately 334 J/g. To calculate the amount of heat required to transform 8 kg of liquid water at 33 °C to the ice at 0 °C, we'll need to take into account both the heat of fusion and the heat required to lower the temperature of the water from 33 °C to 0 °C.
First, we'll calculate the heat required to lower the temperature of the water from 33 °C to 0 °C. This can be calculated using the formula:
Q = mcΔT
where Q is the heat required, m is the mass of the water (8 kg), c is the specific heat capacity of water (4.186 J/g·°C), and ΔT is the change in temperature (3temperature change
Q = (8 kg)(4.186 J/g·°C)(33 °C) = 10,347 J
Next, we'll calculate the heat of fusion by multiplying the heat of fusion of water (334 J/g) by the mass of the water (8 kg).
Q = (334 J/g)(8 kg) = 2672 J
To sum up, the total heat required to transform 8 kg of liquid water at 33 °C to ice at 0 °C, is equal to the heat required to lower the temperature + heat of fusion which is 10,347 J + 2672 J = 13,019 J
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in some places, hot water from underground can shoot up into the air through a hole in the ground. when this happens, the ground surrounding the water increases in temperature. what happens to the molecules in the ground when the temperature of the ground increases?
The energy of the molecules in the ground increases in the given case when the temperature increases.
Convection and conduction are two ways that the Earth's heat is released.
Conduction takes place when the transferring of heat takes place from something hot to something cold.
On the other hand, convection takes place when the transferring of heat takes place by the movement of hot gases or liquids like water, air, or magma to a cooler region.
Near the surface of the ground, the convection of heat water results in the hot springs and geysers to shoot up into the air through a hole in the ground.
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How can we determine the change in internal energy of a system?
The greater the mass of an object, the more particles there are in the sample and the more thermal energy it possesses at the same temperature. Assume you have some boiling hot water at 100 degrees Celsius to demonstrate this concept.
The energy contained inside a thermodynamic system is quantified as the quantity of energy required to get the system from its standard internal state to its current internal state of interest, accounting for energy gains and losses owing to changes in its internal state, including magnetization.
It eliminates the kinetic energy of motion and the potential energy of the system's overall location in relation to its surroundings and external force fields.
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The____of a conductor is defined as the diameter of the conductor in mils, squared.
The cross-sectional area of a conductor is defined as the diameter of the conductor in mils, squared.
What is conductor?
A conductor is a material or object that allows the flow of electric current. It is a material that has a large number of free electrons which can move freely between atoms, allowing for the current to flow through the material. Conductors can be either solid or liquid, and can be used to create electrical circuits and systems. Common conductors used in electrical systems include copper, aluminum, silver, and gold. These materials have high electrical conductivity, meaning they have low resistance and allow for large amounts of electric current to pass through them. Conductors are essential in many electronics and electrical devices, as they are responsible for carrying the electric current from one component to another.
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What is the process called when the ice reaches the coast breaks off to form icebergs that are then carried out to sea?
The process of breaking of ice from the edge of the glaciers and then carried out to sea is known as calving.
Calving of glaciers is usually accompanied by a loud cracking sound or booming sound.
A huge glacier or polar ice that has broken off and floated into the sea is what creates an iceberg. The iceberg is composed of fresh water, just like the glaciers or ice in the North Pole. Since freshwater is less thick than salty seawater, icebergs float in the water.
When a rift develops in a glacier's margin as a result of ice melting, wind or water erosion, or other factors that make the glacier unstable, the calving process begins. A block eventually separates from the land, forming an iceberg that crashes into the water.
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if you reverse the poles of battery what will happen to the direction Of the lines?
Answer: The battery casing will explode
Explanation: Hydrogen gas will be released because of the heat which may cause an explosion.
The amplitude of pulse A is 20cm and that of pulse B is 10 Cm what is the maximum of the resultant pulse
Answer:
The maximum amplitude of the resultant pulse would be 30 cm.
Explanation:
The maximum amplitude of the resultant pulse would be 30 cm.
The maximum amplitude of the resultant pulse would be the sum of the amplitudes of pulse A and pulse B, which is
20 cm + 10 cm = 30 cm.
This is because the maximum amplitude of the resultant pulse would occur when the two pulses are in phase, meaning they are both at their highest point at the same time.
When the two pulses are out of phase, their amplitudes will cancel each other out to some degree, resulting in a lower overall amplitude.
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If the amplitude of pulse A is 20cm and that of pulse B is 10 cm, the maximum of the resultant pulse is 30 cm.
What is amplitude?
A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.
The phenomenon of constructive interference occurs when two waves superimpose on each other in the same phase, with the resultant wave's amplitude being equal to the sum of the separate waves' amplitudes and producing the maximum amount of light.
The amplitude of pulse A is 20cm.
The amplitude of pulse B is 10cm.
Hence, the maximum of the resultant pulse is = (20 cm + 10 cm) = 30 cm.
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A 2.0 kg book is lying on a 0.75-m-high table. You pick it up and place it on a bookshelf 2.3 m above the floor. During this process, your hand does _______ work on the book.
The weight of the book and your lifting power will be the only two forces operating, assuming that air resistance is minimal (gravity).
The book's displacement was x=(2.3-0.75)m=+1.55m.
The book weighs W= m(-g)= 2.0 kg(-10N/kg)= 20 N.
Therefore, the weight's work (energy delivered by the weight) is equal to W.x (-20N).
(+1.55m) = -31 Nm =-31 J.
This outcome, -31J, demonstrates that the weight caused the rising book to lose 31J of kinetic energy, increasing the gravitational potential energy of the book.
You lifted the book, which gave it kinetic energy from the chemical energy stored in your muscles. The weight is thereby decreasing the kinetic energy of the book while the lifting force from you increases it.
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The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle
Answer:
Explanation:
period is 2pi / B which is 2pi/8 which is 1/4 pi
amplitude is a which is 10
How do you find the value of T when a particle is at rest?
The value of T when a particle is at rest is 0. The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point and the value of T when a particle is at rest is zero.
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Which of the following statements regarding heat is accurate? NEED ASAP
a race car is moving at a constant speed around a track.What about the race car is changing and why
A race car is moving at a constant speed around a track. The race car is changing its velocity as the direction of motion changes.
What is velocity?The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
As the race car is moving at a constant speed around a track, the magnitude of velocity remains same but during race it may changes its direction of motion, that is why, velocity of it, which depends on both magnitude and direction, may changes.
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Which of the following most likely explains why Jupiter's interior releases so much heat?
A. Jupiter is gradually contracting in size.
B. tidal heating.
C. heat from radioactive decay.
D. a slow rate of nuclear fusion in Jupiter's core.
C. heat from radioactive decay.
Jupiter is a large gas giant and does not have a solid surface so the source of its heat is not from contraction or tidal heating.
Heat is generated from the radioactive decay of elements, such as uranium and thorium, in the interior of Jupiter which is the most likely explanation for the release of heat.
The heat released from the interior of Jupiter is believed to be generated from the radioactive decay of elements, such as uranium and thorium. These elements are naturally occurring, and their decay releases energy in the form of particles and radiation. This process produces the heat that is released from Jupiter's interior, which is why it is much hotter than the surrounding environment. The heat is also responsible for the hot spot that can be seen in Jupiter's atmosphere. It is estimated that the interior of Jupiter releases up to two and a half times more heat than it receives from the Sun. This process of radioactive decay is the most likely explanation for the release of such a large amount of heat from Jupiter's interior.
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A hunter shoots a bullet horizontally at a rock cliff wall that is 200 m away. They hear the sound of the bullet hitting the rock 0.85 seconds later. Knowing that the speed of sound was 340 m/s, what was the speed of the bullet
The fact is that the speed of the bullet plus the speed of sound is equal to the total distance traveled divided by the total time taken. Speed of bullet + Speed of sound = Total distance traveled / Total time taken.
Calculation-We know the speed of sound is 340 m/s, the distance traveled is 200 m, and the time taken is 0.85 seconds. We can use these values to find the speed of the bullet.
Speed of bullet = (Total distance traveled / Total time taken) - Speed of sound
By substituting the values, we get:
Speed of bullet = (200m / 0.85s) - 340m/s
Speed of bullet = 235.29 m/s
Therefore, the speed of the bullet was 235.29 m/s.
Is a bullet moving at the same rate as light?Nothing can travel faster than the speed of light, according to Einstein's special relativity theory, which was first published in 1905. According to Einstein, this speed is a basic constant of nature since it seems the same to all observers, regardless of where they are in space.
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Estimate the length of a human lifetime, in seconds. Consider a life expectancy of 80 years. Express your answer in seconds.
A human lifetime of 80 years is equal to 29,200,000 seconds.
What is human lifetime?The average human lifetime is typically 79 years, although this can vary greatly depending on various factors such as lifestyle, genetics, and environment. Generally, most people can expect to live anywhere from their late 60s to their mid-80s. However, some people live much longer, and some much shorter. Even within the same family, the range of lifespans can be quite varied.
This can be calculated by multiplying the number of seconds in a day (86,400) by the number of days in a year (365) by the number of years in a human lifetime (80).
86,400 x 365 x 80 = 29,200,000 seconds
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If a building is 44 m tall, how long would it take to fall off it?
Answer:
2.995 seconds
Explanation:
We can use this kinematics equation to evaluate time.
[tex]y=v_0t-\frac{1}{2}gt^2[/tex]
Lets solve for [tex]t.[/tex]
Combine [tex]\frac{1}{2}[/tex] and [tex]gt^2[/tex].
[tex]y=v_0t-\frac{gt^2}{2}[/tex]
Subtract [tex]y[/tex] from both sides.
[tex]0=v_0t-\frac{gt^2}{2}-y[/tex]
[tex]0=-\frac{gt^2}{2} -v_0t-y[/tex]
Multiply both sides of the equation by -1.
[tex]0=\frac{gt^2}{2} -v_0t+y[/tex]
Multiply both sides of the equation by 2.
[tex]0=gt^2 -2v_0t+2y[/tex]
Use the quadratic formula to solve for t.
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]a=-g\\b=2v_0\\c=-2y[/tex]
Solution 1 Steps
[tex]t=\frac{-2v_0+\sqrt{(2v_0)^{2} -4*-g*-2y} }{2*-g}[/tex]
[tex]t=\frac{-2v_0+\sqrt{4v_0^2 -4*-g*-2y} }{2*-g}[/tex]
[tex]t=\frac{-2v_0+\sqrt{4v_0^2 -8gy} }{-2g}[/tex]
Solution 2 Steps
[tex]t=\frac{-2v_0-\sqrt{(2v_0)^{2} -4*-g*-2y} }{2*-g}[/tex]
[tex]t=\frac{-2v_0-\sqrt{4v_0^2 -4*-g*-2y} }{2*-g}[/tex]
[tex]t=\frac{-2v_0-\sqrt{4v_0^2 -8gy} }{-2g}[/tex]
One of these solution will most likely lead to a negative answer. The solution that gives a positive answer is correct. Lets enter our values into both equations to see which one is correct.
We can assume the initial velocity is 0.
We are given
[tex]v_0=0\\g=-9.81\\y=44[/tex]
Lets try the first solution.
[tex]t=\frac{-2*0+\sqrt{(4*0^2) -(8*-9.81*44)} }{-2*-9.81}[/tex]
[tex]t=\frac{0+\sqrt{0 -(8*-9.81*44)} }{-2*-9.81}[/tex]
[tex]t=\frac{0+\sqrt{0 --3453.12} }{-2*-9.81}[/tex]
[tex]t=\frac{\sqrt{3453.12} }{19.62}[/tex]
[tex]t=2.995[/tex]
Our first solution was positive so there is no need to check the second solution.
A billiard ball moves with 5 kg⋅m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?
3 kg⋅m/s
4 kg⋅m/s
5 kg⋅m/s
6 kg⋅m/s
The momentum of the billiard balls after the collision is 3 Kgm/s.
What is Momentum?Simply multiplying the mass of an object by its velocity results in momentum. Additionally, because momentum has both magnitude and direction, it qualifies as a vector quantity.
The formula provides momentum in mathematics;
The other pool balls' velocities would be zero (0) m/s because they were at rest (not experiencing any motion). If we substitute the values, we get: Total forward motion is 3 kg/s.
As a result, the billiard balls' post-collision momentum is 3 Kgm/s.
Therefore, The momentum of the billiard balls after the collision is 3 Kgm/s.
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Why are dynamic flexibility tests not used as often as static flexibility tests a dynamic flexibility tests involve m?
Dynamic flexibility tests are not used as often as static flexibility tests because dynamic flexibility tests involve movement, while static flexibility tests are stationary.
Dynamic flexibility tests are more difficult to perform and require more coordination, and they can be less reliable than static flexibility tests. Additionally, dynamic flexibility tests require more time and equipment to administer, making them less practical for most fitness assessment settings.
Also, dynamic flexibility tests are more specific and measure the ability to perform a specific movement, rather than measuring the general range of motion of a joint. This makes them more suitable for testing athletes and those who need to measure their ability to perform specific movements.
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