A 2.5-kg object hangs from a vertical spring of force constant 610 N/m. It begins to oscillate with an amplitude of 3.1 cm. (Choose the point of zero potential energy to be the position where the object would hang if it were at rest.)
(a) What is the angular frequency of the oscillations?
(b) What is the period of the oscillations?
(c) What is the total energy of the system?
(d) What is the maximum kinetic energy of the object?
Answers
a) The angular frequency of the oscillations = 11.09 rad/s
b) The period of the oscillations = 0.567 s
c) The total energy of the system is 0.3 J.
d) The maximum kinetic energy of the object is 0.3 J.
What is angular frequency?(a) The angular frequency of the oscillations can be found using the formula:
ω = √(k/m)
where k is the force constant of the spring and m is the mass of the object. Substituting the given values, we get:
ω = √(610 N/m / 2.5 kg) = 11.09 rad/s
(b) The period of the oscillations can be found using the formula:
T = 2π/ω
Substituting the value of ω from part (a), we get:
T = 2π/11.09 rad/s = 0.567 s
(c) The total energy of the system is the sum of the kinetic energy and the potential energy. At the maximum displacement, all the energy is potential energy and at the equilibrium position, all the energy is kinetic energy. Therefore, the total energy is constant and equal to the potential energy or kinetic energy at any point in the oscillation.
The potential energy of the spring at maximum displacement is:
U = (1/2)kx²
where x is the amplitude of the oscillation. Substituting the given values, we get:
U = (1/2)(610 N/m)(0.031 m)² = 0.3 J
Therefore, the total energy of the system is 0.3 J.
(d) The maximum kinetic energy of the object is equal to the total energy minus the maximum potential energy. Therefore, we have:
K_max = E_total - U_max
where U_max is the potential energy at the equilibrium position, which is zero. Substituting the values, we get:
K_max = 0.3 J - 0 J = 0.3 J
Therefore, the maximum kinetic energy of the object is 0.3 J.
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Related Questions
.
A sample of an ideal gas is contained at initial volume 34 L, temperature 450 K, and pressure 7.7 × 104 Pa. It then is allowed to expand to a volume of 40 L. To calculate the work involved in the expansion, which additional information, if any, must be known about the gas? Assume that known information includes the values of physical constants, such as the ideal-gas constant R.
A.the final pressure of the gas
B.The path of the change from initial to final conditions
C. the final temperature of the gas
Answers
Answer:
it have to be a
Explanation:
___ explain the “how” if a phenomenon.
Answers
difinition of gravity
Answers
Answer:
it's all around you and it can't be destroyed
When the north pole is tilted toward the sun, which area has the fewest hours of daylight?.
Answers
Answer:
The earth revolves around the sun in a plane called the ecliptic.
The poles of the earth are at an angle of about 23.5 deg from the ecliptic.
If the north pole is tilted at 23,5 deg towards a perpendicular to this plane (ecliptic) the south pole will be tilted at 23.5 deg away from this plane and will receive the least amount of sunshine.
This is called the summer solstice in the northern hemisphere. and occurs around June 21.
a ball of mass 0.5k has 100 Joules of kinetic energy what is speed of the ball full solution please
Answers
here's the solution : -
we know, kinetic energy (k.e) =
\( \dfrac{1}{2} mv { }^{2} \)
where,
m = massv = velocitySo,
=》
\(100 = \dfrac{1}{2} \times 0.5 \times {v}^{2} \)
=》
\( \dfrac{100 \times 2}{0.5} = {v}^{2} \)
=》
\( \dfrac{2000}{5} = {v}^{2} \)
=》
\(400 = {v}^{2} \)
=》
\(v = \sqrt{400} \)
=》
\(v = 20\: \: ms {}^{ - 1} \)
4. A microchip lets computers process information very quickly,
This statement is true
because???
Answers
Microchips are specifically designed to make computers process information much faster, and make the devices a lot more portable.
Place the follow in increasing order of impedance, which order is correct?
A. PZT, matching layer, gel, skin
B. matching layer, gel, PZT, skin
C. PZT, gel, skin, matching layer
D. skin, gel, matching layer, PZT
Answers
The correct order of increasing impedance is:
C. PZT, gel, skin, matching layer
Impedance is a measure of the opposition to the flow of sound waves in a medium. It depends on the density and speed of sound in the material. In the given options, the order of increasing impedance can be determined by considering the properties of the materials involved.
PZT (lead zirconate titanate) has a higher impedance than gel, skin, and the matching layer. PZT is a piezoelectric material commonly used in ultrasound transducers and has a higher density and speed of sound, leading to higher impedance.
Gel has a lower impedance compared to PZT but higher impedance than skin and the matching layer. Gel is used as a coupling medium between the transducer and the skin to enhance acoustic coupling and minimize impedance mismatch.
Skin has a lower impedance than both gel and the matching layer. It is the outermost layer and acts as an interface between the transducer and the biological tissue.
The matching layer has the lowest impedance among the given options. It is designed to match the impedance of the PZT to the impedance of the tissue being imaged, facilitating efficient sound transmission.
Therefore, the correct order is C.
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As a block falls through the air by 40m it does work equal to-1800. Determine the mass ofthe block
Answers
Answer:
don't
Explanation:
The mass of the block is 4.5 kg that falls by 40m and work done is -1800J.
What is work done?The work done is defined as the product of the displacement of an object and the component of the applied force which is in the direction of the object's displacement.
w=f × s
-1800=f×40
f=45 N
by Newton's 2nd law
F=ma
45=m×(10)
m=45÷10=4.5 kg
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Explain how energy that comes from the outside of the Earth system drives the flow of water on surface currents.
Answers
Answer:
The ocean and atmosphere are connected. They work together to move heat and fresh water across the globe. Wind-driven and ocean-current circulations move warm water toward the poles and colder water toward the equator. ... The majority of the thermal energy at the Earth's surface is stored in the ocean.
Explanation:
The ocean and atmosphere are connected. They work together to move heat and fresh water across the globe. Wind-driven and ocean-current circulations move warm water toward the poles and colder water toward the equator. ... The majority of the thermal energy at the Earth's surface is stored in the ocean.
The corona
A.
emits the Sun's visible light that we see.
B.
is the outermost layer of the Sun's atmosphere.
C.
is a dark spot on the Sun's photosphere.
D.
is the Sun's deepest interior layer.
Answers
Answer:
B
Explanation:
:)
tms works by a. passing a magnetic current through an electrode into the brain whose shape determines the properties and the size of the resulting magnetic field. b. passing an electric current through a magnetic coil into the brain whose shape determines the properties and the size of the resulting magnetic field. c. passing a chemical stimulus through a magnetic coil into the brain whose shape determines the properties and the size of the resulting magnetic field d. passing an electric current through a wire coil into the brain whose shape determines the properties and the size of the resulting magnetic field. e. passing an electric current through an electrode into the brain whose shape determines the properties and the size of the resulting magnetic field.
Answers
Tms works by : (c) passing an electric current through a wire coil into the brain whose shape determines the properties and the size of the resulting magnetic field.
What is the TMS's mechanism of action?
By introducing a brief capacitor discharge of electrical current into a stimulated coil, which then generates a magnetic field and induces neural cell membrane potentials, transcranial magnetic stimulation (TMS) is a flexible technique that non-invasively modifies neural processing in the brain.
This coil emits magnetic pulses that activate the brain's mood-control and depressive disorder-related nerve cells. It is believed to stimulate brain areas whose activity declines during depression. Similar to an MRI scanner, the majority of TMS magnets produce magnetic fields that are 1.5T to 2T in strength. However, because the TMS magnet is so much smaller than an MRI, the magnetic field's surface area is considerably less.
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The modern standard of length is 1 m and the speed of light is approximately 2.99792 x 10^8 m/s. Find the time change in t for light to cover 1 m at the given speed.
Answers
Explanation:
Distance = rate × time
1 m = (2.99792×10⁸ m/s) t
t = 3.33565×10⁻⁹ s
Light is the fastest thing in the universe. The speed of light is 2.99792 x 10⁸ m/s . The time that light takes to cover a distance of 1 meter is just 3.39 x 10⁻⁹seconds.
What is speed?Speed is a physical quantity that means the distance in meter covered by a moving body in one second. The speed of light is 2.99792 x 10⁸ m/s. Light from sun only takes 8 min to travel to the earth surface.
The speed of a moving particle or wave is mathematically the ratio of distance and time. Thus time of travel can be found out from the distance and speed.
It is given that the distance travelled by light is 1 m and its speed is 2.99792 x 10⁸ m/s. Thus the time taken to travel is calculated as follows:
Time = distance/speed
= 1 m/ (2.99792 x 10⁸ m/s)
= 3.39 x 10⁻⁹s
Therefore, the time that light takes to cover a distance of 1 meter is just 3.39 x 10⁻⁹seconds.
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you are traveling on a rocket and you wish to slow down (reduce your speed), you should
Answers
To slow down or reduce your speed while traveling on a rocket, you should activate a braking mechanism or propulsion system in the opposite direction of your current motion. This will create a force that counteracts the rocket's forward momentum and causes deceleration.
In order to slow down or reduce speed while traveling on a rocket, it is necessary to overcome the rocket's forward momentum. This can be achieved by generating a force in the opposite direction of the rocket's motion.
One common method to slow down a rocket is to activate a braking mechanism or propulsion system that generates thrust in the opposite direction. By expelling propellant or engaging reverse thrusters, the rocket experiences a reactive force that opposes its forward motion, leading to deceleration.
It's important to note that in the vacuum of space, where there is no air resistance, rockets rely solely on onboard propulsion systems to control their speed and direction. By adjusting the thrust produced by these systems, astronauts can manipulate their velocity and achieve the desired deceleration.
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An Object with a mass o 5.13kg placed on top of a spring compresses it by 0.25m (a) what is the force constant of the spring (b) How high will this object go when the spring releases its energy?
Answers
The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m
The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,
F = kx
Therefore,
k = F/x
We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,
K = 50.174/0.25 N/m
K = 200.696 N/m
Therefore, The Spring Constant is 200.696 N/m
On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:
h = \(1/2 kx^{2}\)
We know that k=200.696 N/m and x=0.25 m. Therefore the height is:
h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)
h = 2.5087 m
Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m
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An airplane with a ground speed of 550 km/hr travels along a heading of 30 degrees n of w at that high altitude there is a powerful 210 km/hr wind
Answers
Answer:
Determine the direction that the pilot is aiming the plane.
Explanation:
As a person pushes a box across a floor, the energy from the person’s moving arm is transferred to the box, and the box and the floor become warm. During this process, what happens to energy?
It is increased.
It is conserved.
It is decreased.
It is created.
Answers
Hope this helps
Answer:
B..it is conserved
Explanation:
a 200 lb man carries a 20 lb can of paint up a helical staircase that encircles a silo with radius 15 ft. if the silo is 120 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to the top? ft-lbs
Answers
The work is done by the man against gravity in climbing to the top with a 20 lb can of paint up a helical staircase that encircles a silo with a radius of 15 ft. if the silo is 120 ft high and the man makes exactly four complete revolutions is 25200 lb-ft.
What is Work done?When an external force moves an object over a distance, at least a portion of that force must be exerted in the direction of the displacement. Physics refers to this as work. If the force acting along the path is constant, the amount of work can be calculated by multiplying the length of the path by the force's component.
Formally, W = fd means that the work is equal to the force f times the length d. If the force is applied at an angle to the displacement, the work is W = fd cos.
Given:
The mass of man, m = 200 lb,
The mass of the can, M = 20 lb,
Calculate the work done y the following formula,
W = \(\int\limits^{120}_0} \,(215 -1/12y ) dy\)
Here W is work done
Integrate the above equation, and we get,
W = 25200 lb ft.
Therefore, work is done by the man against gravity in climbing to the top with a 20 lb can of paint up a helical staircase that encircles a silo with a radius of 15 ft. if the silo is 120 ft high and the man makes exactly four complete revolutions is 25200 lb ft.
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How much energy is required to increase the temperature of
2 kg of lead from 4 C to 7 C? The specific heat of lead is 128
J/kgC.
Answers
Explanation:
Q=msdt
= 2 x 128 x (7-4)
=256 x 3
= 768 J
Complete the table. can I please get help will give points to whoever
Answers
Answer: proton mass 1 and neutron has no mass number
Explanation: proton because of positive charge neutron because of negative charge
3. Darlington Emitter Follower G₁ - k K ナ Vcc = Lov Q₂ Ike SV ≥ 50.2 a) Find dc currents Ic₁, Ic₂ assuming VBE (on) = 0.> V 6) Determine numerical values for Rin, Av, and Rout. Neglect ro.
Answers
The one-line answer is not possible as it requires additional information such as the values of Vcc, VCE(sat), and transistor parameters to calculate the DC currents Ic₁ and Ic₂, as well as the numerical values for Rin, Av, and Rout.
What are the key characteristics and operating parameters of a Darlington emitter follower configuration?a) To find the DC currents Ic₁ and Ic₂, additional information is needed such as the values of Vcc, the collector-emitter saturation voltage VCE(sat), and the transistor parameters.
b) Without the necessary information, it is not possible to determine the numerical values for Rin, Av (voltage gain), and Rout (output resistance).
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A spring compresses 0.8 m when the 800 kg crate of llamas slides down and hits it. Ignore friction and find the spring constant of the spring. The ramp is at a 47° angle.
Answers
Answer:
7167.27N/m
Explanation:
To get the force constant k, we will use the formula;
F = kx where
F is the force acting on the object down the plane
k is the spring constant
x is the extension
The force acting down the ramp us F = Wsintheta. The formula will become;
Wsintheta = kx
mgsintheta = kx
K = mgsintheta/x
K = (800)(9.8)sin47°/0.8
K= 7840sin47°/0.8
K = 5733.81/0.8
K = 7167.27N/m
Hence the spring constant of the spring is 7167.27N/m
Rita's bike starts from rest and accelerates at 2.0m/s2. Where will she be relative to her starting point after 7 seconds? What
is her velocity after 2s and 7s?
Answers
Answer:
She will be at 49m from her starting point in 7s
Explanation:
V = AT 2s V = 2*2 = 4m/s 7s V = = 2*7 = 14 m/s
D = 1/2AT^2 for 7 sec = 1/2*2 m/s^2 * 7s^2
= 1/2*2*49
= 49m
a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?
Answers
The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.
Velocity is the rate of change of displacement over time.
It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.
So option A is correct.
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2 questions, brainliest for both correct! please: only answer if you are sure of the answer!! :)
thank you!
Answers
The main reason why Felix Baumgartner was able to exceed the normal terminal velocity of a person falling to earth is D. There was very little air resistance at the great altitude at which he jumped.
What is Terminal Velocity?This refers to the constant speed to which an object that is in free fall reaches and he encounters air resistance that prevents further acceleration.
Hence, we can see that the way in which Newton's laws helped in the understanding of the physical world is that A. Scientists can now improve the scientific method.
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You observe a star system for many weeks. The light curve does not show significant changes in brightness, but a series of spectra show a spectral feature that cyclically appears as one absorption line, then two, then one again, and so on. Is this a binary system
Answers
Based on the changes in the light curve and the behavior of the series of spectra, this is a binary system.
How is this is binary system?The characteristics described are those of a binary system with the specific type of system being the spectroscopic binary system.
This is because in a spectroscopic binary system, there won't be significant changes in brightness but as a result of stars orbiting towards and then away from us, spectral features will appear as alternative absorption lines.
In conclusion, this is a binary system.
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A woman walks 200m east and then 100m south. Find the total distance travelled and then find the resultant displacement.
Answers
Answer:
300m
Explanation:
It is very simple.
200m+100m= 300m
Help meeee help plsssss
Answers
Answer:
3a. 240 C
3b. 3666.67 A
Explanation:
3a. Determination of the charge.
Current (I) = 2 A
Time (t) = 120 s
Charge (Q) =?
The charge, current and time are related by the following equation:
Charge (Q) = current (I) × time (t)
Q = It
With the above formula, we can obtain the charge as follow:
Current (I) = 2 A
Time (t) = 120 s
Charge (Q) =?
Q = It
Q = 2 × 120
Q = 240 C
Thus, the charge is 240 C
3b. Determination of the current
We'll begin by converting 220 KC to C. This can be obtained as follow:
1 KC = 1000 C
Therefore,
220 KC = 220 KC × 1000 C / 1 KC
220 KC = 220000 C
Next, we shall express 1 minute in second. This is shown below:
1 min = 60 s
Finally, we shall determine the current. This can be obtained as follow:
Charge (Q) = 220000 C
Time (t) = 60 s
Current (I) =?
Q = It
220000 = I × 60
Divide both side by 60
I = 220000 / 60
I = 3666.67 A
Thus, the current flowing through the bulb is 3666.67 A
What is the speed of a runner that runs 400m in 48.42 seconds?
Answers
Answer:
The speed is that it would take 121.05 seconds to run a kilometer.
Explanation:
Since there are 1000 meters in a kilometer, divide 400 meters by 4, and 48.42 by 4. Then you get 100 meters equals 12.105 seconds. Multiply that by ten, and you get 121.05 seconds
The total mass of eight identical
building blocks is 31.52 kg. Find the
mass of 1 block.
Answers
Answer:
3.94
Explanation:
divide total mass by the number of blocks since they are identical
Answer:
3.94
Explanation:
You want to find the mass of one block. Since we know there is 8 blocks with the same mass, you can divide the total mass by 8 since the mass is equally distributed within the 8 blocks
Choose an example in which the momentum of a system is not constant.
(a) A bullet shot from a rifle, with the rifle and the bullet as the system (b) A freely falling metal ball, with the ball as the system (c) A freely falling metal ball, with the ball and Earth as the system (d) It is not possible to give an example since the momentum of a system is always constant.
Answers
The momentum of the system is always constant. Therefore, the example that best fits the criteria is "A freely falling metal ball, with the ball and Earth as the system." So, C is the correct option.
When considering the examples given, we can eliminate options (a) and (d) as they suggest that the momentum of the system is always constant.
The momentum of a system is the product of the mass and velocity of an object. When the metal ball is falling freely, the momentum of the ball and the Earth system changes continuously as the velocity of the ball changes due to the force of gravity. Therefore, the momentum of the system is not constant in this case.
So, the correct option is C.
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