The centripetal force in Newtons the ant will experience if it takes 0.0318 seconds for the ant to complete one revolution is 19.24 N
v = 2 π r / T
v = Linear / Tangential velocity
r = Radius
T = Time period
r = 0.12 m
T = 0.0318 s
v = 2 * 3.14 * 0.12 / 0.0318
v = 23.7 m / s
\(F_{c}\) = m v² / r
\(F_{c}\) = Centripetal force
m = Mass
m = 0.00411 kg
\(F_{c}\) = 0.00411 * 23.7² / 0.12
\(F_{c}\) = 19.24 N
Therefore, the Centripetal force experienced by the ant is 19.24 N
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What unique strengths would you bring to the Grace Scholars Program?
Grace Scholars Program is a scholarship program that selects the best and brightest students for the program.
The Grace Scholars Program is a prestigious scholarship program that aims to identify and support exceptionally talented and promising students. The program seeks to provide opportunities for these students to excel academically, develop their leadership skills, and make a positive impact in their respective fields.The selection process for the Grace Scholars Program is highly competitive, with a rigorous evaluation of applicants' academic achievements, extracurricular activities, personal qualities, and potential for future success. The program typically looks for students who demonstrate outstanding academic performance, intellectual curiosity, leadership abilities, and a commitment to service and community involvement. By offering this scholarship program, institutions aim to attract and retain top talent, foster a culture of excellence, and contribute to the development of future leaders and innovators who can positively impact society.For such more questions on scholarship
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Water flows at speed v in a pipe of radius r. Neglecting viscosity, at what speed does the water flow through a constriction in which the radius of the pipe is r/3
Answer:
9v
Explanation:
Given that the water flows at speed v in a pipe of radius r.
Let \(v_2\) is the speed of water flow where the radius of the pipe is r/3.
By using the continuity equation, the mass flow rate of water is the same at all the cross-sections of the pipe, wh have
\(\rho_1A_1_v_1 =\rho_2A_2_v_2\)
Where \(\rho_1, A_1\) and \(v_1\) are the density, area of the cross-section and speed at cross-section 1 and \(\rho_2, A_2\) and \(v_2\) are the density, area of the cross-section and speed at cross-section 2.
As the density of the water remains constant. so \(\rho_1=\rho_2\).
\(\Rightarrow A_1_v_1 =A_2_v_2 \\\\\Rightarrow (\pi r^2)v=(\pi (r/3)^2v_2 \\\\\Rightarrow r^2v=\frac {r^2}{9}\times v_2 \\\\\Rightarrow v= \frac {v_2}{9} \\\\\Rightarrow v_2=9v.\)
Hence, the speed of the water flow where the radius is r/3 is \(9v\).
what is incandescent object
Hurry up please
An incandescent object refers to an object that emits light as a result of being heated to a high temperature.
Understanding Incandescent ObjectWhen an object is heated, its atoms and molecules gain energy, causing them to vibrate and move more rapidly. This increased energy causes the object to emit electromagnetic radiation, including visible light, which makes the object glow.
Incandescence is commonly observed in everyday objects such as incandescent light bulbs, where a tungsten filament is heated by an electric current until it reaches a temperature that causes it to emit visible light.
As the filament gets hotter, it emits light with a higher intensity and shifts towards shorter wavelengths, starting from a warm red glow and progressing towards a brighter, white light.
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How much impulse is imparted on a 0.14 kg baseball initially traveling at 32 m/s when it is struck by a baseball bat and begins to travel in the opposite direction at 49 m/s
ANSWER AND EXPLAINATION:
To calculate the impulse imparted on the baseball, we can use the impulse-momentum principle, which states that the impulse experienced by an object is equal to the change in momentum of the object. Mathematically, it can be expressed as:
Impulse = Change in momentum
The momentum of an object is given by the product of its mass and velocity:
Momentum = mass × velocity
In this case, the baseball has an initial mass of 0.14 kg and an initial velocity of 32 m/s. After being struck by the bat, it travels in the opposite direction at a velocity of 49 m/s.
Therefore, the change in momentum is given by:
Change in momentum = (mass × final velocity) - (mass × initial velocity)
Change in momentum = mass × (final velocity - initial velocity)
Change in momentum = 0.14 kg × (49 m/s - (-32 m/s))
Change in momentum = 0.14 kg × (49 m/s + 32 m/s)
Change in momentum = 0.14 kg × 81 m/s
Change in momentum = 11.34 kg·m/s
So, the impulse imparted on the baseball is 11.34 kg·m/s.
why is a mountain ? what is a animal ? what is love ?
Answer:
When we love someone we experience the same positive thoughts and experiences as when we like a person. But we also experience a deep sense of care and commitment towards that person. Being “in love” includes all the above but also involves feelings of sexual arousal and attraction.
Explanation:
Does a basketball, baseball, tennis ball, or marble MOST LIKELY have the smallest volume?
Answer: tennis ball
Explanation:
03.03 LC)
The refraction of a sound wave occurs when the sound wave
stops at a boundary between media
bounces off the boundary between media
bends as it passes through the boundary between media
changes frequency after it passes through the boundary between media
The refraction of a sound wave occurs when the sound wave bends as it passes through the boundary between media. Refraction occurs when there is a difference in the speed of sound waves in two different media.
The bending of the sound wave occurs because the speed of sound changes as it passes from one medium to another. The amount of bending depends on the angle of incidence and the difference in speed between the two media. If the speed of sound is higher in the second medium than the first, then the wave bends away from the normal. If the speed of sound is lower in the second medium than the first, then the wave bends towards the normal. If the sound wave is incident perpendicular to the boundary, then there is no bending of the wave and no refraction occurs. Refraction of sound waves is an important phenomenon in our daily lives. It is the reason why we can hear sound around corners or why we can hear someone talking in another room even if the door is closed. The refraction of sound waves is also used in medical imaging, such as in ultrasound, where the sound waves are refracted as they pass through different tissues in the body.For more such questions on sound wave, click on:
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Which example best describes Newton's third law of motion?
F
When a glass slid across a table, it spilled water when it stopped suddenly.
G
An engine used less work to move a lighter car than when it moved a heavier car.
H When a passenger stepped from a boat to the shore, the boat moved away from the shore .
The best example of Newton's third law of motion is, When a passenger stepped from a boat to the shore, the boat moved away from the shore. Thus, option C is correct.
Sir Issac Newton gives three laws of motion. The first law states that an object remains at rest or in continuous motion unless an external force acted on it. The second law stated that the force is directly proportional to the acceleration of the object. Newton's third law states that, for every action, there is an equal and opposite reaction.
From the given, Newton's third law is applicable, When a passenger stepped from a boat to the shore, the boat moved away from the shore. This shows the action and reaction of the boat and shore.
Thus, the ideal solution is option C.
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A proton traveling at 3.60m/s suddenly enters a uniform magnetic field 0.750 T, traveling at an angle of 55 degrees.
a) Find the magnitude and direction of the force this magnetic field exerts on the proton.
b) If you can vary the direction of the proton's velocity, find the magnitude of the maximum and minimum forces you could achieve, and show how the velocity should be oriented to achieve these forces.
c)What would the answers to part (a) be if the proton were replaced by an electron traveling in the same way as the proton?
The force on an electron would be upwards. To achieve this force, the velocity of the proton should be oriented parallel to the magnetic field, as shown below:
What direction do the E and B fields follow?A magnetic field with north and south poles, similar to a bar magnet, is created as current flows through the coil. The magnetic field inside the solenoid has a parallel, linear pattern. A solenoid's magnetic field moves from its north pole to its south pole in one direction only.
a) To find the magnitude of the force on the proton, we use the formula:
F = qvBsinθ
where F is the force, q is the charge of the proton, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field. Plugging in the values given, we get:
\(F = (1.602 * 10^-^1^9 C) * (3.60 m/s) * (0.750 T) * sin(55) = 2.06 * 10^-^1^7 N\)
To find the direction of the force, we use the right-hand rule, which states that if you point your thumb in the direction of the velocity, and your fingers in the direction of the magnetic field, then the force on a positive charge will be perpendicular to both your thumb and your fingers, in a direction given by the palm of your hand. In this case, the force will be pointing downwards, as shown below:
b) The maximum force will be achieved when the velocity of the proton is perpendicular to the magnetic field, since sin(90°) = 1, and the force is proportional to sinθ. In this case, the force will be:
\(F_m_a_x = (1.602 * 10^-^1^9 C) * (3.60 m/s) * (0.750 T) x sin(90) = 3.22 * 10^-^1^7 N\)
To achieve this force, the velocity of the proton should be oriented at a right angle to the magnetic field, as shown below:
The minimum force will be achieved when the velocity of the proton is parallel to the magnetic field, since sin(0°) = 0, and the force is proportional to sinθ. In this case, the force will be zero:
\(F_m_i_n = (1.602 * 10^-^1^9 C) * (3.60 m/s) x (0.750 T) * sin(0) = 0 N\)
To achieve this force, the velocity of the proton should be oriented parallel to the magnetic field, as shown below:
c) For an electron traveling in the same way as the proton, the magnitude of the force would be the same as in part (a), since the only difference between a proton and an electron is their charge (protons are positive, while electrons are negative). However, the direction of the force would be opposite, since electrons have a negative charge. Therefore, the force on an electron would be upwards.
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A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400Joules of work is done, how much force must have been applied?
4000 N
1600 N
800 N
100 N
The amount of force that must have been applied is 100 N.
option D is the correct answer.
What is the amount force applied to overcome the load?
The amount of force applied to overcome the load is calculated by applying the formula for work done as shown below.
Mathematically, the formula for work done is given as;
W = Fd
where;
F is the applied forced is the distance moved by the force or effortIf the distance moved by the effort arm is 10 meters, the amount of effort or force applied to overcome the load is calculated as follows;
F = W / d
F = ( 400 J ) / 4 m
F = 100 N
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Cork has a density of about 0.60 g/cm3 . Cork will partially float in water which has a density of 1.0 g/cm3 . If the piece of cork has a total volume of 5.0 cm3 what volume of cork is below the water
Answer:
3 cm³
Explanation:
Density of the cork = 0.6 g/cm³
Density of water = 1 g/cm³
Volume of cork = 5 cm³
We all know that the formula for density is given as
Density = mass/volume,
The mass of the cork is
Mass = density * volume
Mass = 0.6 * 5
Mass = 3 gram
Given that the density is 0.6, and it is partially floating, then we can say that the volume of the cork below the water is
5 * 0.6 = 3 cm³
The volume of cork is below the water 3 cm³.
Given data:
The density of Cork is, \(\rho = 0.60 \;\rm cm^{3}\).
The density of water is, \(\rho_{w} = 1.0 \;\rm g/cm^{3}\).
The total volume of piece of cork is, \(V = 5.0 \;\rm cm^{3}\).
In the given problem, we can use the concept of density. The mass of substance occupied per unit volume is known as Density of substance. The expression for the density is given as,
Density = mass/volume,
And, the mass of the cork is
Mass = density * volume
Mass = 0.6 * 5
Mass = 3 gram
Given that the density is 0.6, and it is partially floating, then we can say that the volume of the cork below the water is,
= 5 * 0.6 = 3 cm³
Thus, we can conclude that the volume of cork is below the water 3 cm³.
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HELP! An electron is accelerated from 0 m/s to 8 x 10^7 m/s by a uniform electric field. What is the potential difference (voltage) between the plates that make the field?
The potential difference (voltage) between the plates is approximately 1.45 kV.
The kinetic energy of an electron can be related to the potential difference between the plates of an electric field using the equation:
KE = qV,
where KE is the kinetic energy of the electron, q is its charge, and V is the potential difference between the plates.
We know that the electron is accelerated from rest to a final velocity of 8 x 10^7 m/s, so its change in kinetic energy is given by:
ΔKE = 1/2 mv^2 - 1/2 m(0)^2 = 1/2 mv^2
where m is the mass of the electron.
The potential difference between the plates can be found by rearranging the equation to solve for V:
V = ΔKE / q
Substituting the values we have:
V = (1/2) mv^2 / q
The mass of an electron is approximately 9.11 x 10^-31 kg, and its charge is -1.6 x 10^-19 C. Substituting these values and the final velocity of 8 x 10^7 m/s, we get:
V = (1/2) (9.11 x 10^-31 kg) (8 x 10^7 m/s)^2 / (-1.6 x 10^-19 C)
V = -1.45 kV
Therefore, the potential difference (voltage) between the plates is approximately 1.45 kV.
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2. A 70.0-kg man and a 55.0-kg woman holding a 2.50-kg purse on ice skates stand facing eac other. (a) If the woman pushes the man backwards so that his final speed is 1.50 m/s, with what average force did she push him, assuming they were in contact for 0.500 s? (b) What i the woman's recoil speed? (c) If she now throws her 2.50-kg purse at him at a 20.0° angle ac
a) The average force with which the woman pushed the man is 210 N.
b. the woman's recoil speed is still 3.68 m/s
c. If she now throws her 2.50-kg purse at him at a 20.0° angle, the speed is 0.
How do we calculate?We first calculate the Momentum = (70.0 kg)(-1.50 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s)
0 = (70.0 kg)(0 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s) - (70.0 kg)(-1.50 m/s)
v = 3.68 m/s
Δp = (70.0 kg)(1.50 m/s) - (70.0 kg)(0 m/s) = 105 kg·m/s
The average force exerted on the man by the woman is:
Average force = Δp / Δt
Average force = 105 kg·m/s / 0.500 s
Average force = 210 N
b) The woman's recoil speed is :
0 = (70.0 kg)(-1.50 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s)
v = 3.68 m/s
c) If the woman throws her 2.50-kg purse at the man at a 20.0° angle, we apply the conservation of momentum equation in two dimensions and get the speed as 0.
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Which planet experiences tidal effects that are caused by the Sun?
Technically, ALL of the planets do.
The effect is greatest inside Mercury, because Mercury is the one closest to the Sun.
Part 3: Energy Conversions 7. Record your data in the chart and include at least 5 potential-kinetic energy conversions shown in your device's construction. Example Item Description of potential-kinetic energy conversion Example Book The book had gravitational potential energy when it was on the table. Then as the book fell off the table, it was in motion and had kinetic energy. 1 2 3 4 5
Here are five potential-kinetic energy conversions that could be shown in the construction of a device: Pendulum, Roller Coaster, Wind-up Toy, Elastic Slingshot, Windmill.
Pendulum: A pendulum consists of a weight attached to a string or rod, suspended from a fixed point. When the weight is lifted to a certain height, it possesses gravitational potential energy.
As the weight is released, it swings back and forth, converting the potential energy into kinetic energy. At the highest point of each swing, the weight briefly comes to a stop and has maximum potential energy, which is then converted back to kinetic energy as it swings downward.
Roller Coaster: In a roller coaster, potential-kinetic energy conversions occur throughout the ride. When the coaster is pulled up to the top of the first hill, it gains gravitational potential energy.
As the coaster descends, the potential energy is converted into kinetic energy, resulting in a thrilling and high-speed ride. Subsequent hills and loops continue to convert potential energy into kinetic energy and vice versa as the coaster moves along the track.
Wind-up Toy: Wind-up toys typically have a spring mechanism inside. When the toy is wound up, potential energy is stored in the wound-up spring. As the spring unwinds, it transfers its potential energy into kinetic energy, causing the toy to move or perform actions. The kinetic energy gradually decreases as the spring fully unwinds.
Elastic Slingshot: With an elastic slingshot, potential-kinetic energy conversions are evident when the slingshot is stretched. As the user pulls back on the elastic band, potential energy is stored.
Windmill: Windmills harness the kinetic energy of the wind and convert it into other forms of energy. As the wind blows, it imparts kinetic energy to the blades of the windmill. The rotating blades then transfer this kinetic energy into mechanical energy, which can be used for various purposes such as grinding grains or generating electricity.
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A 1.0 kg ball falls from rest a distance of 19.6 m.
- What was its change in potential energy?
- What was its velocity after falling 19.6 m?
Answer:
192.08J
19.6m/s
Explanation:
Since there will be no potential energy when the ball is on the ground, the change in potential energy is equal to the potential energy at the start when the ball is 19.6m above the ground.
PE=mgh
=(1)(9.8)(19.6)
=192.08J
v²=u²+2as, where v is the final velocity, u is initial velocity, a is acceleration and s is distance. Initial velocity is 0 since it starts at rest.
v²=u²+2as
v²=0²+2(9.8)(19.6)
v=√384.16
=19.6m/s
What is the velocity of a dropped object after it has fallen for 12 s?
Hellow!
For this use the next formula:
Vf = Vo + gt
Initial velocity is zero, so the formula simplificate:
Vf = gt
Data:
Vf = Final velocity = ?
g = Gravity = 9.8 m/s²
t = Time = 12 s
Replacing according our data:
Vf = 9.8 m/s² * 12 s
Vf = 117.8 m/s
The final velocity will be 117.8 meters per second.
A woman walks 150 min 45 seconds. What was her average speed?
Answer:
0.3
Explanation: when you average out the number sthat is the answer you get
What is the relationship between the weight of objects and the sum of their parts?
Answer:
No matter how parts of an object are assembled, the weight of the whole object is always the same as the sum of the parts; and when a thing is broken into parts, the parts have the same total weight as the original thing.
Compare sound and earthquake waves
When materials vibrate, waves are created that travel through the substance, and this energy is what we hear as sound. Earthquakes are earth vibrations that cause the (potential) energy held within rocks to be released (as a result of their pressure-generating relative positions). Seismic waves are produced by earthquakes.
How do sound waves and earthquakes compare?
The waves lose energy as they move through the air with sound or through the ground with shaking during an earthquake. Therefore, a band can be heard louder close to the stage than farther away, and an earthquake can be felt more strongly close to the fault than farther away.
In actuality, sound in the air cannot match how quickly earthquake waves move. In rock, the compressional or "P" wave of an earthquake moves at the In actuality, sound in the air cannot match how quickly earthquake waves move. The speed of a P wave is typically 10,000 mph. The speed of sound through air is roughly 750 mph.
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Coulomb's Law explains which of the following? Select all that apply.
the charge on each object .
is directly proportional to the distance separating them.
O The force b
O Coul
O The force
O The force
O If the force be
be -F
the square of the distance separating them.
e on each object.
doubled, the new force between the objects would now
" If the force between two objects is F and the charge on both objects is doubled, the new force between the objects would now be
1. Given that the distance separating them doubled, the new force between the objects would decrease by a factor of 4
2. Given that the charge on both objects is doubled, the new force between the objects would increase by a factor of 4
Coulomb's law equationF = Kq₁q₂ / r²
Where
F is the force of attraction K is the electrical constant q₁ and q₂ are two point charges r is the distance apartWe can see that the force (F) is proportional to the charges (q₁ and q₂) and inversely proportional to the square of their distance apart
1. How to determine the new force when the distance is doubledCharge 1 = q₁Charge 2 = q₂ Electric constant (K) = 9×10⁹ Nm²/C²Distance apart (r) = 2rNew force (F₂) =?F = Kq₁q₂ / r²
F₂ = Kq₁q₂ / (2r)²
F₂ = Kq₁q₂ / 4r²
F₂ = 1/4(Kq₁q₂ / r²)
But
F = Kq₁q₂ / d²
Therefore
F₂ = 1/4F
Thus, the new force will decrease by a factor of 4
2. How to determine the new force when the charge on both is doubledCharge 1 = 2q₁Charge 2 = 2q₂ Electric constant (K) = 9×10⁹ Nm²/C²Distance apart (r) = rNew force (F₂) =?F = Kq₁q₂ / r²
F₂ = K × 2q₁ × 2q₂ / r²
F₂ = 4Kq₁q₂ / r²
But
F = Kq₁q₂ / d²
Therefore
F₂ = 4F
Thus, the new force will increase by a factor of 4
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A car has a mass of 1200 kg and a velocity of 14 m/s. Calculate the
momentum of the car.
Answer:
p = 16,800
Explanation:
If the hairdryer was put on full power, what would happen? Why?
Most hair dryers are in the 1800 watt range and lets assume you turned it to the highest speed and heat setting.
PLEASE MARK AS A BRAINLISTIt will heat up the air in the box, failry quickly. Rules of thermodynamics says that the heat will increase the temperature according to the rate of heat input minus the rate of heat loss from the box… due to conduction, radiation and convection (in this case none of the latter because the box is sealed).
HOPE IT WILL HELP YOUThe loss rate depends in the temperature difference and the thermal resistance. THicker and better insulation increases the resistance; larger area decreases the resistance. Eventually the heat (temperature) will rise and the difference between inside and outside will be so large that the temperature will rise no more. But in the case of a 1800 W hairdryer the temperature will exceed the melting point of plastics and wire insulation and if allowed to come to heat equilibrium will probably short out and catch fire or blow an external fuse.
Most modern hair dryers have a internal thermal fuse that cuts out at temperatures below the melting point and probably this will cut off the dryer before catastrophic meltdown. Its a one time fuse and not readily available, mostly you toss the dryer when the fuse goes
What is the mass of a block of lead that is 30cm by 80cm by 60cm?
Calculating the mass of the block requires a bit of work. The formula for the volume of a rectangular solid is V = l*w*h, where V is the volume, l is the length, w is the width, and h is the height. Using the dimensions given, we can calculate the volume of the block as 30*80*60 = 144000 cubic centimeters.
The density of lead is approximately 11.34 grams per cubic centimeter. To calculate the mass of the block, we can use the formula m = V*d, where m is the mass, V is the volume, and d is the density. Plugging in the values we get m = 144000*11.34 = 1,634,400 grams or approximately 1.63 metric tons.
So, the mass of the block of lead is approximately 1.63 metric tons.
An 82kg male and 48kg female pari figure starting team are gliding across the ice of 7.4m/s preparing for a throw jump maneuver. The male starter tosses the female starter forward with a speed of 8.6n/s. Determine the speed of the male starter immediately after the throw.
Answer:
Explanation:
(m1 + m2)*V1 = m2*V2 + m1*Vx
Vx = ((m1 + m2)*V1 - m2*V2) / m1
Vx = ((82 + 48)*7.4 - 48*8.6) /82 = 6.7 m/s
How do we calculate the restoring force according to Hooke’s law?
Answer:
Accordng to Hook's law
F=kx
So
spring constant × displacement
Explanation:
Answer: A) spring constant × displacement
Accordng to Hook's law
F=kx
So
A) spring constant × displacement
Explanation: hope this helps pls mark me brainliest
Two orareind me with a mass of 4.00 kg and other with a mass of 6.00 kg, sit on a
frictionless surface. A worker pulls horizontally on the 6.00 kg crate with a force that gives the crate
an acceleration of 2.5 ms.
a. What is the acceleration of the 4.00 kg crate? (1 mark)
b. Draw a free-body diagram for the 4.00 kg crate and use it together with Newton's second
law to find the tension T in the rope that connects the two crates. (2 marks)
C. Calculate the magnitude and direction of the force the worker applies. (2 marks)
Foma
4.00 kg
T
6.00 kg
a. The acceleration of the 4.00 kg crate is 3.75 m/s^2.
b. A free-body diagram for the 4.00 kg crate is shown below:
4.00 kg
T
c. The direction of the force is to the right, since the crate is moving to the right. The magnitude of the force is 15 N.
What is acceleration?Acceleration can be described as the rate of change of the velocity of an object with respect to time.
We use Newton's second law of motion, which states that the net force on an object is equal to its mass times its acceleration
(F_ = m * a).
The total force on each crate is equal to the force applied on it. If the force applied on the 6.00 kg crate produces an acceleration of 2.5 m/s^2, the total force on the 6.00 kg crate is 6.00 kg * 2.5 m/s^2 = 15 N.
Therefore, the total force on the 4.00 kg crate is 4.00 kg * a = 15 N,
a = 15 N / 4.00 kg
a = 3.75 m/s^2.
The tension T in the rope that connects the two crates can be found using Newton's second law of motion.
b. (F = m * a), so we can put out the the equation as :
T - 4.00 kg * 3.75 m/s^2 = 0
T = 4.00 kg * 3.75 m/s^2 = 15 N
c.
F - 6.00 kg * 2.5 m/s^2 = 0
F = 6.00 kg * 2.5 m/s^2 = 15 N
The direction of the force is to the right, since the crate is moving to the right. The magnitude of the force is 15 N.
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Waves can travel but the medium does not "travel" with it, even though they may move up and down.
False
True
Answer:
TRUE
Explanation:
The statement "Waves can travel but the medium does not "travel" with it, even though they may move up and down." is a true statement
Option A is correct
What are Waves?A wave is simply defined as a disturbance in a medium that carries energy from point to point and can take the form of elastic deformation, a change in pressure, magnetic strength, electric potential, or temperature.
In conclusion, Mediums are the pathways or channel for travelling waves
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an oscillator with a mass of 310 g and a period of 0.180 s has amplited that decreases by 20 % during each complete oscillation what is the damping constant
Answer:
1.241/s
Explanation:
From this question, we have the following information:
Mass of oscillator = 310
The time Period, t = 0.180
Decrease = 20 %
Amplitude of oscillation has the formula
A = Aoe^yt
1-20% = 80%
= 0.80
Y x 0.18 = -ln(0.8)
= 0.18Y = 0.2234
Y = 0.2233/0.18
Y = 1.241/s
The damping constant y is Therefore equal to 1.241s
An arrow is short from the roof of a building 30m high at 5m/s and at an angle of 45 degrees. How fast will the arrow be going when it hits the ground?
The velocity of the arrow when it hits the ground, given that the arrow was shot from the roof of a building 30 m high at 5 m/s is 24.5 m/s
How do i determine the velocity of the arrow when it hits the ground?First, we shall obtain the maximum height of the arrow from the top of the roof. Details below:
Initial velocity (u) = 5 m/sAngle of projection (θ) = 45 °Acceleration due to gravity (g) = 9.8 m/s²Maximum height from root (H) =?H = u²Sine²θ / 2g
H = [5² × (Sine 45)²] / (2 × 9.8)
H = 0.64 m
Next, we shall obtain the maximum height from the ground. Details below:
Maximum height from root = 0.64 mHeight of building = 30 mMaximum height from ground = ?Maximum height from ground = Maximum height from root + Height of building
Maximum height from ground = 0.64 + 30
Maximum height from ground = 30.64 m
Next, we shall obtain the time take to reach the ground.
Height (h) = 30.64 mAcceleration due to gravity (g) = 9.8 m/s²Time taken (t) = ?h = ½gt²
30.64 = ½ × 9.8 × t²
30.64 = 4.9 × t²
Divide both side by 4.9
t² = 30.64 / 4.9
Take the square root of both side
t = √(30.64 / 4.9)
t = 2.5 s
Finally, we shall obtain the velocity with which the arrow hits the ground. This is illustrated below:
Acceleration due to gravity (g) = 9.8 m/s²Time taken (t) = 2.5 sVelocity (v) =?v = gt
v = 9.8 × 2.5
v = 24.5 m/s
Thus, we can conclude that the velocity the arrow used in hitting the ground is 24.5 m/s
Learn more about motion under gravity:
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