the position of a mass that is oscillating on a spring is given by x = (18.3 cm) cos[(2.35 s-1)t]. what is the frequency of this motion?
Answers
The frequency of this motion is 2.35 Hz.
We have given the equation of the oscillation, x = (18.3 cm) cos[(2.35 s-1)t].
The equation of the simple harmonic motion is represented as, x = A cos(wt + Φ), where A = Amplitude of the motion w = Angular frequency t = Time Φ = Phase constant
Comparing this equation with the given equation we can say,2.35 s-1 = w w = 2.35 s-1Therefore, the frequency of the motion is f = (w/2π)Frequency, f = (2.35 s-1)/2πf = 0.374 Hz ≈ 2.35 HzHence, the frequency of the motion is 2.35 Hz.
Therefore, the frequency of this motion is 2.35 Hz.
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Related Questions
A ball is projected with 40m/s vertically upward. (Ignore air resistance)
Compute A. the total time of flight
B. the maximum height
C. the velocity at t=5s
IN DESPERATE NEED OF HELP!!!
Answers
Make us of equation of motion formulas.
a.) the total time of flight = 8.16 s
b.) the maximum height reached = 81.6 m
c.) the velocity at t = 5s = 9 m/s
Motion Under GravityMotion of any object under gravity is the vertical motion of the object under the influence of acceleration due to gravity.
Given that a ball is projected with 40 m/s vertically upward.
A. the total time of flight of the ball will be T = 2t
At maximum height, v = 0.
v = u - gt
0 = 40 - 9.8t
9.8t = 40
t = 40 / 9.8
t = 4.08 s
T = 2 × 4.08
T = 8.16 s
B. the maximum height H can be found by using the formula
v² = u² - 2gH
At maximum height, v = 0
0 = u² - 2 × 9.8 × H
40² = 19.6H
H = 1600/19.6
H = 81.6 m
C. the velocity at t = 5s will be v
v = u - gt
v = 40 - 9.8 × 5
v = 40 - 49
v = - 9 m/s
That is, 9 m/s in the opposite direction ( coming downward )
Therefore, the total time of flight of the ball is 8.16 s, the maximum height reached is 81.6 m and the velocity at t = 5s is 9 m/s
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A bus and a Car are traveling along the EDSA having the same velocity. which if the two vehicles would have a greater momentum?a. the busb. the carc. both have the same momentumd. cant be easily determined
Answers
The momentum of an object can be calculated with the formula below:
\(p=mv\)Where p is the momentum, m is the mass and v is the velocity.
The mass of the bus is greater than the mass of the car.
So, if they have the same velocity, the momentum of the bus will be greater.
Correct option: a.
5. Identify the parts of the formula described by Newton's second
law of motion.
(. )
(. )——> a= F
M. (. )
Answers
Identify the parts of the formula described by Newton's second;1. Force (F),2. Mass (M),3. Acceleration (a)
What is the Acceleration ?
Acceleration is the rate of change of an object's velocity. It is the rate at which an object's speed and direction changes over time. Acceleration can be positive or negative, meaning the object can be speeding up or slowing down. Acceleration is measured in m/s2 and is calculated by taking the change in velocity over the change in time. It also contains both magnitude and direction because it is a vector quantity. Forces such as gravity and friction can cause an object to accelerate.
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A glider on an air track is connected by springs to either end of the track. Both springs have the same spring constant, k, and the glider has mass M
a) Determine the frequency of the oscillation, assuming no damping, if k = 125 N/m and M = 210 g .
b) It is observed that after 55 oscillations, the amplitude of the oscillation has dropped to one-half of its initial value. Estimate the value of γγ, using x(t)=A* e^γt * cosω′t
c) How long does it take the amplitude to decrease to one-quarter of its initial value?
Answers
After 102.7 oscillations, the amplitude decreases to one-fourth of the initial value.
What do amplitude and frequency mean?Amplitude is the separation between the wave's resting position and its maximum displacement. Frequency is the number of waves that cross a particular point in a second. Period is the length of time it takes for a wave cycle to complete.
λ = 1/51⋅0.20slog(1/2)
λ = −0.68⁻¹s
Using the previous finding, we can calculate the amplitude as a function of time to determine how long it will take before it reaches one-fourth of its initial value.
1/4=Aeλt
Solving for the time,
t = 1/λlog(1/4)
t = 20.4s
Comparing this result with the period,
t = 102.7T.
The amplitude is the largest displacement or distance that a point on a vibrating body or wave can move away from its equilibrium location. It is equal to dividing by two the length of the vibration path. The distance between a wave's resting position and its greatest displacement is known as amplitude. The frequency is the number of waves that pass through a specific location in a second. Period: the time required to complete a wave cycle to complete.
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Express your answer in newton-meters. Calculate the torque (magnitude and direction) about point due to the force F in each of the situations sketched in the figure below (Figure 1). In each case, the force F and the rod both lie in the plane of the page, the rod has length 4.00 m, and the force has magnitude 12.0 N. Let counterclockwise torques be positive
Answers
The torque (τ) can be calculated using the formula:
τ = r * F * sin(θ)
where r is the perpendicular distance from the point of rotation to the line of action of the force, F is the magnitude of the force, and θ is the angle between the line of action of the force and the direction from the point of rotation.
Since the force and the rod both lie in the plane of the page, we need to determine the angle θ between the line of action of the force and the direction from the point of rotation for each scenario. Additionally, we need to know the specific point about which the torque is being calculated.
If you can provide the description or details of the scenarios or the specific angles and points of interest, I will be able to assist you in calculating the torque accurately.
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A trebuchet fired a tennis ball with an initial velocity. Determine the following
Answers
ANSWER
\(\begin{gathered} (a)\text{ }12.61\text{ }s \\ (b)\text{ }194.73m \\ (c)\text{ }608.57\text{ }m \\ (d)\text{ }78.4\text{ }m\/s \end{gathered}\)EXPLANATION
Parameters given:
Initial velocity, v0 = 78.4
Angle of projectile, θ = 52 degrees
(a) To find the flight time of the tennis ball, apply the formula:
\(t=\frac{2v_0\sin\theta}{g}\)where g = acceleration due to gravity
Hence, the total flight time of the tennis ball is:
\(\begin{gathered} t=\frac{2*78.4*\sin52}{9.8} \\ t=12.61\text{ }s \end{gathered}\)(b) To find the maximum altitude of the ball during its flight, apply the formula:
\(H=\frac{v_0^2\sin^2\theta}{2g}\)Therefore, the maximum height attained by the tennis ball is:
\(\begin{gathered} H=\frac{78.4^2*\sin^2(52)}{2*9.8} \\ H=194.73\text{ }m \end{gathered}\)(c) To find the horizontal distance the tennis ball travels, apply the formula:
\(R=\frac{v_0^2\sin2\theta}{g}\)Hence, the horizontal distance traveled by the tennis ball is:
\(\begin{gathered} R=\frac{78.4^2*\sin(2*52)}{9.8} \\ R=608.57\text{ }m \end{gathered}\)(d) To find the final velocity of the tennis ball, apply the formula:
\(v=\sqrt{v_0^2+2h(-g)}\)where h = initial height = 0 m
Hence, the final velocity of the tennis ball just before impact is:
\(\begin{gathered} v=\sqrt{78.4^2+2(0)(-9.8)} \\ v=\sqrt{78.4^2+0}=\sqrt{78.4^2} \\ v=78.4\text{ }m\/s \end{gathered}\)how long will it take to go in minutes 150 km traveling at 50km/hr?
Answers
Given:
• Distance = 150 km
,• Speed = 50 km/hr
Let's find the time it will take to cover the distance in minutes.
To find the distance, apply the formula:
\(time=\frac{distance}{speed}\)Thus, we have:
\(\text{time}=\frac{150}{50}=3\text{ hours}\)The time in hours is 3 hours.
To convert the time from hours to minutes, we have:
60 minutes = 1 hour
3 hours = 3 x 60 = 180 minutes
Therefore, it time in minutes is 180 minutes.
ANSWER:
180 minutes
The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. It is shot across a horizontal track then climbs up a vertical incline to a height of 139 m before stopping at the top. Ignoring friction and air resistance, what amount of kinetic energy must the coaster have before it goes up the incline?
Note: Set the horizontal section of track as height = 0.
Gravity= 9. 8 m/s^2
Answers
The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. Amount of kinetic energy must the coaster have 13.3megajoules.
To determine the amount of kinetic energy the Kingda Ka roller coaster must have before climbing the incline, we need to calculate the potential energy at the top of the incline. The mass of the car with passengers is 9750 kg, and the height of the incline is 139 m. We can ignore friction and air resistance for this calculation. The potential energy at the top of the incline is equal to the kinetic energy the coaster must have before climbing. The formula for potential energy is given by:
\(Potential Energy = mass * gravity * height\)
In this case, the mass of the car with passengers is 9750 kg, the acceleration due to gravity is 9.8 m/s², and the height of the incline is 139 m.
Substituting these values into the formula, we can calculate the potential energy:
Potential Energy = 9750 kg * 9.8 m/s² * 139 m
P.E = K.E = 9750 x 139 x 9.8 = 13,281,450J
= 13.3megajoules
Once we calculate the potential energy, we can consider it as the amount of kinetic energy the coaster must have before going up the incline, as the initial kinetic energy is converted to potential energy as the coaster climbs.
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the diagram shows the apparent motion of the sun across the sky?
Answers
Answer:
The earth rotates west to east
Explanation:
Considering that the sun doesn't really move and the earth is rotating around the sun, and it is moving from east to west with us (the earth) facing it in which means the earth rotates around the sun west to east!
I need help guysss , how can I get a Tutor on here
Answers
Answer:
it would say ask and see the tutor
Answer:
You type out your question and it should ask you where you want to post it. You choices are tutor or community. Choose community.
Explanation:
I just did it and it worked. Good luck
I need this done asap no links !!!
this is a science question
Answers
Answer:
1 - theory
2 - law
3 - hypothesis
Explanation:
I'm pretty sure this is correct
(b) In an x-ray twbe, an electron is accelerated from rest towards a metal farget tyy a 30 kV source. Calculate the kinetic energy of the electron. e=1.6\times 10^(-19)C
Answers
The kinetic energy of the electron accelerated by a 30 kV source is approximately 4.8 x 10^(-14) Joules.
Voltage (V) = 30 kV = 30,000 volts
Charge of an electron (e) = \(1.6 x 10^(-19) C\)
Calculating the potential energy -
P = e x V
An object's motion gives it kinetic energy, which is a type of energy. It is described as the amount of effort required to accelerate a body of a specific mass from rest to its specified velocity. As Potential energy is equal to kinetic energy, therefore calculating the kinetic energy:
Potential Energy = Kinetic Energy = e x V
Substituting the value -
\(= (1.6 x 10^(-19) C) x (30,000 V)\)
\(= 4.8 x 10^(-14) J\)
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Why is acceleration due to gravity low in the space?
Answers
Answer:
Explanation:
actually , the acceleration due to gravity depends on the distance from it's center of the earth.
when the distance from the earth increases , the acceleration due to gravity decreases as a result . The value of gravity in space is zero.
6.Riding his bike, Mike can start from rest and get going at 10 m/s in 4 seconds. Joy can get
going 15 m/s in 5 seconds. Who has a greater acceleration? How do you know?
Answers
Answer:
Joy has a greater acceleration.
Explanation:
Mike
v = v₀ + at
10 = 0 + 4a
a = 2.5 m/s²
Joy
v = v₀ + at
15 = 0 + 5a
a = 3 m/s²
--
Using the UAM equations, we can determine that Joy's acceleration is 3 m/s² while Mike's acceleration is only 2.5 m/s².
I will give brainliest if right
Prokaryotes are structurally simple organisms that have existed for over two billion years.
Which of the following are prokaryotes?
Choose 1 answer:
(Choice A) A Animals
(Choice B) B Bacteria
(Choice C) C Plants
(Choice D) D Fungi
I will give brainliest if right
Answers
Answer:
Prokaryotic Cells are cells that lack Cell Nucleus so the answer is bacteria
Answer:
B Bacteria
Explanation:
Choice B because the prokaryotes are single-celled organism with no nucleus.
in how many ways can five basketball players be placed in three postitions?
Answers
Answer:
Well if they playing a game like that
I will give Brainliest answer and 5 stars
Jay decides to walk home from school today. He lives 3 miles from school and can walk home in 45 minutes. At what rate is Jay traveling?
A. 1 mile/10 minutes
B. 1 mile/15 minutes
C. 1 mile/20 minutes
D. 1 mile/30 minutes
Answers
Answer:
James is traveling at 4 miles per hour.
Explanation:
3 miles per 45 minutes
x miles per 60 minutes(1 hour)
___________________
3*60=45*x
180=45x |:45
x=4
What Lags harder than my Nokia
Answers
my brain.
Explanation:
...................
Answer:The Nokia XR20. ... HMD Global said the Nokia XR20 is the most durable phone it's created to date. The XR20 sports a tough 6.67-inch Gorilla Glass Victus display from American tech firm Corning and can resist damage from scratches and drops from about 6 feet, the company says.Jul 26, 2021
Explanation:
If one 9V battery is used in a circuit with a total resistance of 39Ω, what is the current in the circuit?
Answers
Answer:
Using V= IR
I= 0.2307 Ampere
It is a hot summer day at the beach. From your understanding of specific heat capacity, what can you expect to be the difference between the sand and the water?
The water will gain more thermal energy than the sand
The water will heat up faster then the sand
The sand will heat up faster than the water
The sand will lose its energy more slowly than the water
Answers
Answer:
the sand will heat up faster than the water
Explanation:
water has slow heat conduction
and sand had high heat conduction
The bike you are riding hit a pothole in the street and stops quickly but you fly forward over the handlebars. What law of motion is this?
Answers
Answer: 1 st law of motion
Explanation:
Given
The bike hits the pothole and the driver flies over the handlebar. This can be explained by Newton's first law of motion. This law states that a body in the state of rest or motion will remain in that state unless an external force is applied to it.
Here, the bike instantly comes to rest by contacting the pothole which is at rest. while the driver body continues to move in forward direction and as a result it flies over the handlebars.
Which of the following phenomena can be used to support the particle theory of light? Select all that apply.
The Photoelectric Effect
Polarization
Interference Patterns
Refraction
Reflection
Answers
2.
Hussein is mowing the lawn with an applied force of 8 N but there is a little elf pushing back with a force of 6 N.
Is it balanced or unbalanced
Answers
Answer:
Explanation:
lll
Answer:
Unbalanced
Explanation:
Hussein is pushing 2 N harder.
8. A satellite weighs 200 newtons on the surface of
Earth. What is its weight at a distance of one Earth
radius above the surface of Earth?
1) 800 N
3) 100 N
2) 400 N
4) 50 N
Answers
The weight of the satellite at a distance of one Earth radius above the surface of Earth is 40 N.
The given parameters:
Weight of the satellite, F = 200 NOne Earth radius above the surface of Earth = 2RThe gravitational force on the satellite is calculated by applying Newton's law of universal gravitation is calculated as;
\(F = \frac{Gm_1m_2}{R^2} \\\\F_1 R_1^2 = F_2R_2^2\\\\F_2 = \frac{F_1 R_1^2 }{R_2^2} \\\\F_2 =\frac{200 \times R_1^2}{(2R_1)^2} \\\\F_2 = \frac{200 \times R_1^2 }{4R_1} \\\\F_2 = 40 \ N\)
Thus, the weight of the satellite at a distance of one Earth radius above the surface of Earth is 40 N.
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A 600N/m horizontal spring is compressed 20cm. Find its
potential energy.
Answers
When a horizontal spring is compressed, it stores potential energy given by (1/2)kx². With a spring constant of 600 N/m and a displacement of 0.2 m, the potential energy is 6 J.
When a horizontal spring is compressed by a force, it stores potential energy within itself. This energy can be calculated using the formula for the potential energy of a spring. The formula is given as follows: Potential Energy of Spring = (1/2)kx²Here,k is the spring constant, and x is the displacement of the spring from its rest position. Given: Spring constant, k = 600 N/m. Displacement, x = 20 cm = 0.2 mUsing the formula, the potential energy of the spring can be calculated: Potential Energy of Spring = (1/2)kx²Potential Energy of Spring = (1/2) × 600 N/m × (0.2 m)² Potential Energy of Spring = 6 J. Therefore, the potential energy of the spring is 6 J when it is compressed by 20 cm and has a spring constant of 600 N/m.Summary: When a horizontal spring is compressed, it stores potential energy. The formula for the potential energy of a spring is given as (1/2)kx². Using this formula, the potential energy of a spring can be calculated if the spring constant and displacement are known. In this case, a spring with a spring constant of 600 N/m and a displacement of 20 cm has a potential energy of 6 J.For more questions on potential energy
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Gold atoms find their "birth" inside of huge _________.
Answers
Explanation:
he is very keen on taking up and is the age
How do you write a vector as a linear combination of another vector?
Answers
Express the first vector as the sum of the second vector's scalar multiples to represent a vector as a linear combination of another vector.
Finding scalar coefficients that, when multiplied by the components of the other vector, will add up to the components of the original vector is necessary to represent a vector as a linear combination of another vector. For instance, if you have a vector (a, b) and another vector (c, d), you may find scalars x and y such that x(c, d) + y(a, b) = in order to represent the original vector as a linear combination of the second vector (a,b). You obtain x = (ad-bc)/(cd-bd) and y = (ac-bd)/ after solving for x and y. (cd-bd). The linear combination of the two vectors is then obtained by filling in the values of x and y.
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can someone help me and give me the right answer
Answers
Answer:
C. sedimentary
Explanation:
Answer:
Sedimentary
Explanation:
Igneous rock- A rock that's formed through the cooling and solidification of magma or lava.
Metamorphic rock- A rock that starts out as another rock and often has a striped appearance.
Volcanic rock- A rock that's formed from lava that erupted from a volcano.
Sedimentary is the only right answer. A Sedimentary rock is a rock thats made from the deposition of lots of pieces of eroded rock particles.
For a freely falling object dropped from rest, what is the acceleration at the
end of the 3rd second of fall?
O
O a m/s/s
Ob -9.8 m/s/s
0 c -29.4 m/s/s
O /
D -44.1 m/s/s
Answers
The acceleration of the object after 3 seconds of fall is -9.8 m/s².
The given parameters;
Initial velocity of the object, u = 0Time of motion of the object, t = 3 secondsAcceleration is the change in velocity per change in time of motion.
The acceleration of the object after 3 seconds of fall is calculated as follows;
Since the object is in free fall, the object experiences only acceleration due to gravity.The magnitude of this acceleration due to gravity is 9.8 m/s²The direction of this acceleration is downwards
Thus, the acceleration of the object after 3 seconds of fall is -9.8 m/s².
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Calculate the acceleration if you push with a 6 N horizontal force on a 8 kg block on a
horizontal friction free air table.