The acceleration is still -9.81 m/s2, and the instantaneous velocity of the shuttlecock when it hits the ground is [tex]V_{int}[/tex] = [tex]\sqrt{U^{2} + 19.6H }[/tex]
Acceleration is determined as the rate of change of velocity of an object with respect to time. Acceleration is represented by the SI unit is meter per second squared (m/[tex]s^{2}[/tex]). Acceleration is denoted by "a".
Instantaneous velocity is the rate of change of position for a time interval which is almost zero (very small). The magnitude of the instantaneous velocity is instantaneous speed. It is measured by using SI unit m/s.
Mathematically, the equation for acceleration is:
a = [tex]v\frac{dv}{dt}[/tex]
ah = [tex]v^{2}[/tex] - [tex]u^{2}[/tex]
Where the acceleration is still -9.81 m/s2
Hence, [tex]v^{2}[/tex] - [tex]u^{2}[/tex] = 2 (-9.81) * -H
Therefore, [tex]v_{int}[/tex] = [tex]\sqrt{U^{2} + 19.6H }[/tex]
To know more about acceleration here
https://brainly.com/question/12550364
#SPJ4
given vectors ab, dc, and bc, simplify ab − dc + bc.
AB+CD+BC=AB+BC+CD=AD. It tells us that first traveling from A to B, then B to C, and from C to D is equivalent to directly traveling from A to D
Vector addition is defined as the geometrical sum of two or more vectors as they do not follow regular laws of algebra.
There are a few conditions for any vector addition, they are:
Scalars and vectors can never be added.For any two vectors to be added, they must be of the same nature.There are two laws of vector addition, they are:
Triangle law of vector additionParallelogram law of vector additionTriangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.
To know more about Vector Addition:
https://brainly.com/question/2927458
#SPJ4
Why is countercurrent flow better for dialysis?
The countercurrent flow is better for dialysis because-
The dialysate flows in the opposite direction from the blood. More urea and creatinine are removed from the blood as a result of the dialysate and blood flowing counter-currently, which optimizes the concentration gradient of solutes between the two fluids.
All throughout the dialyzer's length, countercurrent flow optimizes the concentration gradient between blood and dialysate Small solute clearance falls by 10% when blood flow and dialysate flow are cocurrent (moving in the same direction). Because they produce a more consistent temperature difference between the fluids along the whole length of the fluid channel, counter flow heat exchangers naturally outperform parallel flow heat exchangers in terms of efficiency.As an illustration, a faster blood flow rate boosts clearance by increasing the volume of blood evacuated each minute7. Additionally, a quicker dialysate flow rate results in more solutes being removed from the dialysate fluid, increasing the concentration gradient and the clearance rate8–10.To know more about dialysis here
https://brainly.com/question/28063794
#SPJ4
anthony walks to the pizza place for lunch. he walks 1 km east then 2 km south and then 1 km east again. what distance did he cover and what was his displacement
Answer:
3 km displacement
Explanation:
I'm pretty sure that's the answer, I'm so sorry if it's not
0. 250 moles of gas are in a piston. The gas does 109 J of work while 240 J of heat are added. What is the change in internal energy?
(Be careful with + and - signs. +W = expansion, +Q =added, +ΔU = temp goes up)
Thank you!
For 0. 250 moles of gas in a piston, the change in internal energy is +131J. While 240 J of heat are supplied, the gas produces 109 J of work. The energy is a thermodynamic system's internal energy.
With the exception of the energies that are determined by how the system interacts with its environment, the system as a whole's kinetic energy of motion and potential energy with respect to external force fields are all that are contained within it. A typical kind of skin development are moles. Clusters of pigment-forming cells are what give them their common appearance as small, dark brown dots (melanocytes).
Internal energy change for U = Q+W is 240+(-109) = +131J.
Learn more about force here
https://brainly.com/question/13191643
#SPJ4
A force of 255 N is applied to an object that accelerates at a rate of 7 m/s2. What is the mass of the object?
The mass of the object is 36.43 kg.
We can use the equation for force (F) to determine the mass (m) of the object:
F = m × a
Where F is the force applied to the object, m is the mass of the object, and a is the acceleration of the object.
So, in this case, we know that:
F = 255 N
a = 7 m/s²
We can use this information to solve for the mass of the object:
m = F ÷ a
m = 255 N ÷ 7 m/s²
m = 36.43 kg
Therefore, the mass of the object is 36.43 kg.
It's important to notice that this equation only holds if the force applied is the net force, so if there are other forces such as friction or air resistance they should be considered in the calculation.
Learn more about mass:
https://brainly.com/question/19694949
The energy transferred to the water was 1050 J.
The time taken for the water temperature to increase by 0.6 °C was 5 minutes.
The specific heat capacity of water is 4200 J / kg °C.
Write down the equation which links energy transferred, power and time.
The energy transferred to the system is equal to the work done. For the endothermic process work done is negative. The power of the system is the product of work and time. Hence, the power is 315000 watt.
What is endothermicity?Endothermic reactions are those which absorbs energy into the system. Thus the surrounding temperature gets decreased.
The calorimetric equation connecting the heat transferred q, with the specific heat, mass and temperature difference is written as:
q = m c ΔT
Here, the heat energy transferred is equal to the work done on the system. Hence W = - 1050 J
Power of the system is the product of work done and time taken for the energy transfer.
Power = W.dt
w = - 1050 J
t = 5 min = 300 s
Then P = 1050 J × 300 = 315000 watt.
Find more on work done :
https://brainly.com/question/13662169
#SPJ1
An electrical conductor that has very low resistance to current at low temperatures is called a(n) .
An electrical conductor that has very low resistance to current at low temperatures is called a(n) Superconductor.
Superconductors are magnetic, right?A superconductor's hatred of magnetic fields is one of its basic characteristics. A superconductor generates its own equal and opposite magnetic field when a magnetic field is applied by a scientist.
What is the name of a permanent magnet's two poles?A north-seeking pole (north pole) and a south-seeking pole (south pole) are found at either end of every magnet. Depending on how they are arranged, these two oppositely charged poles enable magnets to both repel and attract other magnets.
To know more about superconductors visit:
brainly.com/question/19618939
#SPJ4
A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the ______, is a requirement of NEC 705.12(B).
A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the main circuit breaker, is a requirement of NEC 705.12(B).
What is a circuit's straightforward definition?A completed circular conduit through which electricity flows is known as a circuit in electronics. A simple circuit includes a current provider, conductors, and a load. The term "circuit" can broadly be used to describe any ongoing path via which electricity, information, or a signal might go.
Why are circuits essential?A channel for the transfer of electric current is known as an electric circuit. Electric energy is transferred to components that transform it into various types of energy that can perform work, such as supplying power to light, appliances, and other devices, when electrical current flows across a circuit.
To know more about Circuit visit :
brainly.com/question/27206933
#SPJ4
In which of the following sport the turning effect of force used
a) swimming b) tennis c) cycling d) hockey
The turning effect of force used in cycling. Hence, option (c) is correct.
What is turning effect of force?The moment is the term for turning effect of a force. It is the result of multiplying the force by the perpendicular distance from the force's line of action to the pivot point or location where the object will turn.
If a body that is being affected by a net external force is allowed to revolve around a pivot, the body will typically turn in the force's direction.
When a cycle paddled, force is applied for revolving it. That is why, the turning effect of force used in cycling.
Learn more about force here:
https://brainly.com/question/13191643
#SPJ1
The Earth has a mass of 6 x 10^24 kg and orbits the Sun in 3.15 x 10^7 seconds at a constant radius of 1.5 x 10^11m. Find the following.
(a) What is the Earth's centripetal acceleration around the Sun?
(b) What is the gravitational force acting between the Sun and Earth?
(c) What is the mass of the Sun?
The Sun's mass is 1.778 x 10 m/s2. v=2rT, where T is the amount of time it takes for the Earth to turn around the Sun.
What is our sun's mass?Mass and volume: 1.989 x 1030 kilograms The sun has a mass of 1.989 x 1030 kilograms, which is about 333,000 times the mass of the Earth. Leading astronomers Jack J. and Imke de Pater found that the sun contains 99.8 percent of the mass of the entire solar system.
Earth's mass, Me, is 6 x 10 kg.
Earth's R Radius and Time of Rotation are 1.5x10m. 3.15 x 107 Sec.
Ac = earth's centripetal acceleration We know that W = 345X107 1.99 X 10 Rad/s Gravitational Force F 6x1024 x 1.99x107x mass of the Sun Me 2
F equals 35 + 82 x 10° N Ani.
F = 6 R2 28 2522 x 10" 6.67 x 10" x 6 x 1024 x Ms (1.5 X 10") 2 Ms 35.82 x 1028 x 1.5X1-5 x 1822 6.67 X 10" x 6 x 10' 24 Ms 50 80.59 x 10° 40.02 X 10/3 37 Ms = 2.01 x 10 kg is known to exist.
The fact that centripetal acceleration F-ma f 22 equates both equations is known by mass of now. ma Scanner a equals 52.
ат 24 6.67 x 10" x 6X 10° 1-5 x 10" 17:78 x 16-9 = 1.778 x 10 m/s2 Ans
To learn more about Sun's mass here:
https://brainly.com/question/1626565
#SPJ1
a ball is thrown vertically upwards. After resistance is negligible. What is the variation with tiem fo t of the kinetic energy E_k of hte ball
The variation with time of the kinetic energy E_k of the ball is that it decreases. This is because gravity is acting against the ball and slowing it down, so the kinetic energy is decreasing as the ball slows down.
When the ball is released, the initial kinetic energy, E_k, is given by the equation: E_k = mgh, where m is the mass of the ball, g is the gravitational acceleration, and h is the initial height of the ball. As the ball rises, its height increases, and the potential energy, U, increases. However, this increase in potential energy is at the expense of kinetic energy, so the kinetic energy decreases as the ball rises.
When the ball reaches its maximum height, its kinetic energy is zero as it is at rest. As the ball then begins to fall, its potential energy decreases, and its kinetic energy increases. This is because the ball is falling under the action of gravity, and thus its kinetic energy increases as it accelerates downwards. Overall, the kinetic energy of the ball decreases as it rises and increases as it falls.
This is due to the conservation of energy, which states that the total energy of a system remains constant. As the potential energy increases, the kinetic energy decreases, and vice versa.
To know more about kinetic energy refer to the link brainly.com/question/26472013
#SPJ4
How were you able to increase the amount of potential the ball had?
Answer:
The potential energy can be increased by increasing the mass of the object, by varying the distance between the two objects, decreasing the kinetic energy of the molecules, by freezing, by compressing or stretching, and so on.
Explanation:
Hope this helped !
Jessica is riding on a Merry-go-round on an outer horse that sits a distance of 8.0m from the center of the ride. Jessica’s sister, Julie, is on an inner horse located 6.0m from the ride’s center. The Merry-go-round turns once every 40 s. Explain which girl is moving with the greater linear speed.
Jessica's linear speed is faster.
We must first define linear speed in order to respond to the query.
How fast is linear motion?This is the tangential speed of an item moving in a circle. Given by the formula v = r,
r is the object's distance from the circle's center, and is its angular speed.
Given that Julie, Jessica's sister, is riding an inner horse that is placed 6.0 meters from the center of the merry-go-round and Jessica is riding an outside horse that is 8.0 meters away from the center of the ride. The merry-go-round is also rotating at a consistent speed.
Given that v = r and = constant for linear motion,
So, v ∝ r.
Therefore, the girl who was farther away from the merry-go-center round's would move at a faster linear rate.
Since
Julie is at r, and Jessica is at r' = 8.0 m "= 6.0 m.
Since
r' = 8.0 m > r and v r "= 6.0 m,
Jessica's thus has a faster linear speed.
To learn more about Linear Speed from given link
https://brainly.com/question/27391749
#SPJ1
difference between reflection of sound, echo and reverberation
A twig floating in a small pond is initially at rest. On the twig is a snail, which begins moving along the length of the twig with a speed of 1.2 cm/s. The twig moves in the opposite direction with a speed of
0.40 cm/s. If the snail's mass is 2.5 g, what is the mass of twig?
The mass of the twig can be calculated using the law of conservation of momentum.
What is law of conservation?The Law of Conservation states that matter and energy cannot be created or destroyed, only changed from one form to another. This law is one of the most fundamental laws of physics, and it applies to all forms of energy, including heat, light, and electrical energy. This law helps explain why energy is always conserved, meaning that it can never be lost, only transferred or converted into another form. This law is also important in understanding the behavior of matter, as it explains why matter can never be completely destroyed, only rearranged or changed in form.
Momentum is equal to the mass times the velocity, so the total momentum of the twig and the snail before the snail starts moving is zero. After the snail starts moving, the momentum of the twig and the snail is equal to the snail's momentum, which is equal to 2.5 g x 1.2 cm/s = 3.0 g cm/s. Since the velocity of the twig is 0.4 cm/s, the mass of the twig must be equal to 3.0 g cm/s / 0.4 cm/s = 7.5 g.
To learn more about law of conservation
https://brainly.com/question/1113396
#SPJ1
Because of the Doppler effect, a light- or sound-emitting object moving toward you has a ________ compared to a stationary object.
Because of the Doppler effect, a light- or sound-emitting object moving toward you has a lower amplitude compared to a stationary object.
The Doppler effect is generally defined as the shift in wave frequency (whether it be sound or light) caused by relative motion between the wave source and the observer. Every time a source wave moves in reference to the observer, this effect can be seen.
The Doppler effect allows astronomers to determine the frequency of light waves as an object moves in relation to the observer. As it approaches you, the frequency decreases and the item exhibits a blueshift. A redshift indicates that an item is travelling away from us.
To know more about Doppler effect
https://brainly.com/question/13229185
#SPJ4
An element has 1st, 2nd and 3rd ionization energies given in kJ mol-1. This element is a member of which group
An element has 1st, 2nd, and 3rd ionization energies given in kJ mol-1. The element in question is likely a member of the group known as the transition metals. This is because the elements in this group generally have higher ionization energies than other elements
For example, the first ionization energy of a transition metal is typically between 400 and 600 kJ/mol, the second ionization energy is typically between 1200 and 1600 kJ/mol, and the third ionization energy is typically between 2500 and 2800 kJ/mol. This range of ionization energies is consistent with the values given in the question. Transition metals are located in the middle of the periodic table, in between the s-block and the p-block elements.
They generally have higher melting points, densities, and boiling points than s-block elements and they display various oxidation states. All transition metals are metals, and they are usually the elements responsible for the color of compounds. Transition metals are also known for their catalytic properties, and they are often used as catalysts in various industrial and chemical processes. Furthermore, many transition metals are essential for life, including iron, cobalt, and copper. In conclusion, the element in question is likely a member of the transition metals group in the periodic table.
To know more about ionization energies refer to the link brainly.com/question/28385102
#SPJ4
An element has 1st, 2nd and 3rd ionization energies given in kJ mol-1. This element is a member of which group in the periodic table?
The film strip that emerges from the camera is usually a ______________. That is, its color and light values are the opposite of those in the original scene.
The film strip that emerges from the camera is usually a Negative. That is, its color and light values are the opposite of those in the original scene.
What controls how much light enters the camera?One of the three camera settings that affects exposure is the aperture. The shutter speed, aperture, and ISO settings are together referred as as the "exposure triangle." By adjusting the relative amount of light entering a camera lens, an aperture can change the exposure.
What part of the camera and eye controls how much light enters?A camera's shutter can close or open depending on how much light is required to expose the film at the rear of the device.
To know more about camera visit:-
https://brainly.com/question/10944268
#SPJ4
Could Aliens 65 Million Light Years Away from Earth See Dinosaurs Alive? If aliens can see the dinosaurs, what problems might there be? If aliens couldn’t see the dinosaurs, why not?
Answer:Now this question can go ways
Explanation:
1: YES= Because they have super advanced technology and the aliens could fly to earth steal our resources and then experiment on the dinosaurs.
2:NO they did not have enough tech yet to support that much length and they just never look or find earth
ME PERSONALLY I WOULD CHOOSE 1 but, up to you
Energy can't be made or destroyed. It is only ever transferred, stored or dissipated. This means that energy is... what?
20 points!
A student wants to measure the mass of three different rocks.
Which SI unit should the student use?
millimeters
grams
ampere
kelvin
Answer:
I've never heard of ampere, so it's either grams or ampere.
Which statement describes the electrostatic force between two charged objects?
A It is greater when two objects are farther apart.
B It is greater if two objects have the same charge.
C It is greater when the charges of the objects are greater.
D It is zero if the charges of the objects repel one another.
The electrostatic force connecting two electrostatic force is expressed by the statement that it is stronger when the voltages of the items are greater.
Electrostatics: What is it?The study of energies between charged, as outlined by Coulomb's Law, is known as electrostatics. We introduce the idea of a magnetic charge encircling charges. The electric current near a line and a plane are examples that we go through as we create detailed definition for both "electric potential" and "voltage."
What is an example of electrostatics?Examples involving electrostatic forces are: With the aid of a comb, we can create electrostatic force when i pass a piece of paper through to the oil in my heads. When one balloon is brushed with hair, the other balloon becomes drawn to it.
To know more about Electrostatics visit:
https://brainly.com/question/14889552
#SPJ1
An error that occurs consistently in one direction, such as a scale that weighs everyone two pounds more than their true weight, is known as a:
A systematic error is one that constantly occurs in one direction, for as when a scale consistently overestimates everyone's weight by two pounds.
If an error changes in the same direction throughout time, it is said to be systematic. For instance, if something always or frequently caused the blood pressure to increase right before the measurements were to be taken, this could occur when taking blood pressure.One measurement may slightly differ from the next due to random error. It results from unanticipated changes that occur throughout an experiment. When a reading is taken consistently each time, systematic error always impacts measurements in exactly the same way or to exactly the same degree. It is foreseeable.To know more about error here
https://brainly.com/question/28008941
#SPJ4
A cannonball is fired with a velocity of 10 m/s upward from horizontal and 30 m/s to the west. What is the angle and direction of the cannonball
The angle and the direction of the cannonball is calculated to be about 18.435° of west.
Expressed as the ratio between two sides of a right triangle or an angle measure along with a given side, trigonometry can find unknown angle measures and lengths.
Given that,
Velocity of cannonball upward = 10 m/s
Velocity of cannonball to the west = 30 m/s
One of the side lengths reflects the velocity going north (or upward from the horizontal) at 10 m/s. Another side length depicts the speed moving west.
Angle can be calculated by applying trigonometric relation.
tan θ = northward velocity of the cannonball/westward velocity of the cannonball = 10/30
tan⁻¹(tan θ) = tan⁻¹(10/30)
θ = 18.4349°
As, the cannonball was measured from the horizontal, the angle and the direction of the cannonball is about 18.435° of west.
To know more about cannonball:
https://brainly.com/question/28767194
#SPJ4
A new planet is discovered with a radius that is 1/2 the radius of earth and 1/2 the mass of the earth. What is the acceleration due to gravity on this planet?
The acceleration due to gravity on this planet is 19.6 m/s².
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration of all other motions.
What is gravity?
In mechanics, gravity also known as gravitation is the constant force of attraction that pulls all things together. It has little impact on determining the intrinsic characteristics of common stuff because it is by far the weakest known force in nature.
Calculation:
The acceleration due to gravity on the earth's surface is given by
g = [tex]\frac{GM}{R^{2} }[/tex]
Now, Mp = [tex]\frac{M}{2}[/tex], Rp = [tex]\frac{R}{2}[/tex]
The acceleration due to gravity on the new planet is:
[tex]g_{p}[/tex] = [tex]\frac{GM_{p} }{R_{p} ^{2} }[/tex] = [tex]\frac{GM/2}{R^{2} /4^{} }[/tex] = 2g
[tex]g_{p}[/tex] = 2 × 9.8 = 19.6 m/s².
To know more about acceleration, check out:
https://brainly.com/question/460763
#SPJ1
A student wants to investigate the motion of a ball by conducting two different experiments, as shown in Figure 1 and Figure 2 above. In Experiment 1, the student releases a ball from rest and uses a slow-motion camera to film the ball as it falls to the ground. Using video analysis, the student is able to plot the ball’s horizontal position x and vertical position y as a function of time t. In Experiment 2, the student horizontally rolls the same ball off a table, and uses video analysis to plot the ball’s horizontal position x and vertical position y as a function of time t starting from the instant the ball leaves the table. The graphs from each experiment are shown above along with each graph’s best-fit curve line.
Question:
Suppose that Experiment 1 and Experiment 2 are conducted at the same time; one student drops the ball from rest at the same instant that a second student horizontally rolls an identical off the table. After both balls have traveled half their vertical distance to the floor, what is the acceleration of the center of mass of the two-ball system relative to Earth?
A) Equal to g
B) Less than g, but not zero
C) Less than g , but not zero
D) Zero
The acceleration of the center of mass of the two-ball system relative to Earth is equal to g after the balls have travelled for half their vertical distance to the ground, option A.
What is the center of mass of any object?The total force acting on the system is equal to the acceleration of the center of mass multiplied by the total mass of the system. When applied to an extended object, Newton's second law, F = ma, predicts the motion of a specific reference point for this object. The center of mass is the name given to this reference point.
When we throw an object upward, gravity acts on it, and the acceleration it experiences is the inverse of the acceleration caused by gravity, i.e. deceleration. As a result, the acceleration of each ball will be g. As a result, the acceleration of the center of mass of the two balls thrown upward is g.
Find out more on center of mass here: https://brainly.com/question/13499822
#SPJ1
The distance from the acoustic center of the source to the point at which the intensity of the direct sound equals that of the reverberant field describes
Critical distance is defined as the distance between the acoustic center of the source and the point at which the intensity of the direct sound equals that of the reverberant field.
The distance from a sound source when the direct energy (energy radiated straight from the source) equals the reverberant energy (radiated from walls, floor, and ceiling) is called critical distance. It can be said as the critical distance is the distance between the microphone and the sound source at which the level of room reverberation is equal to the level of the direct sound. Critical distance is considered an important factor in positioning loudspeakers and microphones.
You can learn more about distance at
https://brainly.com/question/9364505
#SPJ4
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load
arm of 6 meters? († point)
O 50 J
O 100 J
O 600 J
0 72 J
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is 50 J.
option A is the correct answer.
What is the work done by the lever?
A lever is a simple machine that makes work easier and faster. When a lever is used, a small effort will be used to overcome a large load.
The efficiency of a machine increases when the output force is greater than the input force.
Mathematically, the formula for the efficiency of a machine is given as;
Eff = ( output force / input force ) x 100 %
The output force is given by the following formula;
F ( out ) = load x distance moved by load
The input force is given by the following formula;
F ( input ) = effort x distance moved by effort
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is calculated as;
work = ( 600 x 6 ) / ( 12 x 6 )
work = 50 J
Learn more about lever here: https://brainly.com/question/416386
#SPJ1
Answer:
600 J
Explanation:
The work is not equal to the initial work divided by the effort arm.
An ambulance racing down the highway has 14,600,000 J of energy. It is moving 34 m/s. What is the mass of the ambulance? (Round
your answer to two decimal places) KE=1/2mva^2
The ambulance weighs 16.97 tons, and the kinetic energy of an object is given by the formula KE = 1/2mv2, where m is the object's mass, v is its velocity, and KE is the kinetic energy.
What is kinetic energy and above explanation?Kinetic energy is the energy an object possesses due to its motion, and it is calculated as 1/2mv^2, where m is the mass of the object and v is its velocity. It represents the ability of an object to do work by virtue of its motion.Given that the ambulance has 14,600,000 J of energy and is moving at 34 m/s, we can use this formula to find the mass of the ambulance:KE = 1/2mv^214,600,000 J = 1/2m(34 m/s)^2To solve for mass, we can divide both sides of the equation by (1/2)(34 m/s)^2:m = (14,600,000 J) / [(1/2)(34 m/s)^2]m = 14,600,000 J / (1/2)(1156 m^2/s^2)m = 14,600,000 J * (2/1156 m/s^2)m = 16.97 tonSo the mass of the ambulance is approximately 16.97 ton.
To learn more about kinetic energy refer:
brainly.com/question/8101588
#SPJ4
A 1.65-kg mass stretches a vertical spring 0.215 m. If the spring is stretched an additional 0.130 m and released, how long does it take to reach the (new) equilibrium position again
The time it takes for the mass to reach the new equilibrium position is approximately 0.15 seconds.
To calculate the time it takes for the mass to reach the new equilibrium position, you will need to know the spring constant of the spring. The spring constant, denoted by the letter k, is a measure of the spring's stiffness, and it is related to the force required to stretch the spring by a certain distance. If the spring constant is not given, it can not be calculated.
Once you have the spring constant, you can use the equation:
T = 2π √(m/k) where,
T is the period of oscillation (the time it takes for the mass to complete one full cycle of motion) m is the mass of the object attached to the spring k is the spring constant.The spring constant (k) can be found by using the equation:
F = kx where,
F is the force applied to the spring x is the distance the spring is stretched from its equilibrium position, and k is the spring constant.In this case, the force is equal to the weight of the mass, which is m*g, where m is the mass and g is the acceleration due to gravity.
mg = kx
or, k = (m*g)/x
or, k = (1.65 kg * 9.8 m/s^2) / 0.215 m = 74.65 kg/s^2
Now that we know the spring constant, we can use the equation:
T = 2π √(m/k)
To find the time it takes for the mass to reach the new equilibrium position, where T is the period of oscillation, m is the mass of the object attached to the spring, and k is the spring constant.
T = 2π √(1.65 kg / 74.65 kg/s^2) = 0.15 sec
So the time it takes for the mass to reach the new equilibrium position is approximately 0.15 seconds.
Learn more about Hook's law here:
https://brainly.com/question/2648431
#SPJ4