Think about the oscillation of the toy shown in the video. when the toy is at the highest point of its motion, its velocity is _____ and its acceleration is _____.
Answers
Answer: i dont really get what u are asking but here is what im guessing u mean.
Explanation:Refer to the diagram shown below.
m = 50 g = 0.05 kg, the mass of the ball
A = 6 cm = 0.06 m, the amplitude
The oscillatory motion relative to the equilibrium position is
x(t) = A cos(ωt)
where
x = displacement at time t
A = amplitude, 0.06 m
ω = circular frequency
Therefore
x(t) = A cos(ωt)
The velocity function is
v(t) = - ωA sin(ωt)
The maximum velocity occurs when sin(ωt) = 1. Because the maximum velocity is 3.2 m/s, therefore
(ω 1/s)*(0.06 m) = (3.2 m/s)
w = 53.33 1/s
Therefore
x(t) = 0.06 cos(53.33t)
v(t) = 3.2 sin(53.33t)
When the spring is compressed by 4.5 cm (0.045 m) from the equilibrium position, then
0.06 cos(53.33t) = -0.045
cos(53.33t) = -0.75
53.33t = cos⁻¹ (-0.75) = 2.4189
t = 0.0454 s
The velocity when t = 0.0454 s is
v = 3.2 sin(53.33*0.0454) = 2.111 m/s
The kinetic energy is
KE = (1/2)*m*v²
= 0.5*(0.05 kg)*(2.111 m/s)²
= 0.1114 J
Answer: 0.1114 J
When the toy is at the highest point of its motion, its velocity is zero and its acceleration is negative.
Why is acceleration 0 at the highest point?Any projectile's instantaneous speed at its maximum height is zero. Because gravity gives the ball the same acceleration on the way up as it does on the way down, the time it takes to reach maximum altitude is the same as the time it takes to return to its launch position.
Because of the -ve acceleration along the vertical direction, velocity decreases until it reaches zero.
The velocity of a projectile is zero at its highest point. A projectile's acceleration is zero at its highest point.
When going up, the acceleration is negative because the speed is decreasing. When going down, the acceleration is negative because it is moving in the opposite direction, down.
Thus, When the toy is at the highest point of its motion, its velocity is zero and its acceleration is negative.
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Related Questions
A 5000kg freight car moving at 2 m/s East collides with a 10,000kg freight car at rest. Upon collision, they got stuck and moved with same velocity. Find their final velocity after collision
Answers
Answer:
A
Explanation:
In the diagram below, which particle is anti-matter?
e+
p
pn
v
Answers
The anti-matter particle in the diagram is e+ (positron), which has the same mass as an electron but a positive charge opposite that of an electron. (matter particle).
The other particles in the diagram are all matter particles (p, p, n, and v).
In the picture, e+ (positron) is the anti-matter particle since it has the same mass as an electron but a positive charge that is opposite to that of an electron. (matter particle).
Anti-matter is matter's polar opposite, composed of particles with the same mass but opposite charge as matter particles.
When matter and anti-matter particles collide, they annihilate each other and emit a massive amount of energy in the form of gamma rays. grasp the fundamental laws of physics and the beginnings of the world requires a thorough grasp of anti-matter.
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if the length of the wire having resistance 2 ohm , gets thrice and area gets half then find out its new resistance
Answers
Answer:
R = ρ L / A where R is resistance of wire
R2 / R1 = L2 A1 / (L1 * A2)
R2 / R1 = (L2 / L1) * (A1 / A2) = 3 * 2 = 6
R2 = 6 * 2 = 12 Ω
Explain how the law of conservation of energy applied to the energy transformations that occur from the outlet charger to the ringing phone
Answers
Answer: ELECTRICAL ENERGY to CHEMICAL ENERGY to SOUND ENERGY.
Explanation:
There are laws governing the conservation of energy in physics. The first law of thermodynamics states that in a closed system, energy can neither be created nor destroyed during transformation. With this, the total energy of a given system always remains constant.
This first law of thermodynamics which arouse from special relativity, says that changes in the energy of systems will also coincide with changes in a measure of its energy content.
The ELECTRICAL energy from the outlet charger is transformed and stored as CHEMICAL energy in the battery of the phone. This in turn is converted to SOUND energy when the phone rings.
the binary compound (hnx) of which of the following atoms would you predict has the highest vapor pressure at a given temperature?
Answers
The binary compound (HₙX) of the atom X would be predicted to have the highest vapor pressure at a given temperature.
Determine the Vapor pressure?Vapor pressure is influenced by several factors, including intermolecular forces and molecular mass. Generally, compounds with weaker intermolecular forces and lower molecular mass tend to have higher vapor pressures.
If we consider a binary compound (HₙX), where X represents an atom, the atom with the smallest molecular mass and weakest intermolecular forces would likely result in the highest vapor pressure for the compound.
This is because smaller atoms generally have lower molecular masses and weaker intermolecular forces, making it easier for their molecules to escape into the gas phase.
Therefore, the binary compound (HₙX) of the atom with the smallest molecular mass and weakest intermolecular forces would have the highest vapor pressure at a given temperature.
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An impulse of 12.2kg m/s is delivered to an object whose initial momentum is 4.5kgm/s. What is the object's final momentum?
Answers
Answer:
Object's final momentum = 16.7 kg-m/s
Explanation:
Given that,
Impulse, J = 12.2 kg-m/s
Initial momentum, \(P_i=4.5\ kg-m/s\)
We need to find the object's final momentum. We know that the impulse is equal to the change in momentum. So,
Impulse = change in momentum
\(J=P_f-P_i\\\\P_f=J+P_i\\\\P_f=12.2+4.5\\\\P_f=16.7\ kg-m/s\)
So, the object's final momentum is 16.7 kg-m/s.
Given:
Impulse, \(J = 12.2 kg-m/s\)Initial momentum, \(P_i = 4.5 \ kg-m/s\)We know the relation,
→ \(Impulse = Change \ in \ momentum\)
or,
→ \(J = P_f-P_i\)
then,
→ \(P_f = J+P_i\)
By substituting the values,
\(= 12.2+4.5\)
\(= 16.7 \ kg-m/s\)
Thus the above answer is right.
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as an ideal fluid flows vertically upward through a uniform (constant radius) pipe, what happens to the fluid speed and fluid pressure?
Answers
A pipe's pressure is essentially comprised of two pressures: a kinetic pressure that is measured in the flow's center and a static pressure that is determined precisely at the pipe wall's interior.
What means fluid pressure?the force a fluid applies to any point inside of it. The sum of the difference in height, their density, and the rate of free fall determines the difference in pressure between two levels.
Why does fluid pressure exist?Similar to the air from the inside of a tire, all liquids exert pressure. Fluid particles constantly and randomly move in all directions. The particles constantly collide with one another and anything else that crosses their path as they advance. Pressure is produced by these impacts, and it is applied uniformly in all directions.
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what force could you put on a 2-kg see-saw to cause a torque of 200 N-m when applied straight down. 2 meters away from the center fulcrum?
Answers
The force that will cause the given torque on the see-saw is 100 N.
The given parameters:
Mass of the see-saw, m = 2 kgTorque applied, τ = 200 N-mRadius of the fulcrum, r = 2 mThe force that will cause the given torque on the see-saw is calculated as follows;
τ = Fr
\(F = \frac{\tau}{r} \\\\F = \frac{200}{2} \\\\F = 100 \ N\)
Thus, the force that will cause the given torque on the see-saw is 100 N.
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when a test has the ability to measure what it is intended to measure, it is said to be:
Answers
When a medical test has the ability to measure what it is intended to measure, it is said to be valid.
Validity is a fundamental property of a test that refers to the degree to which it measures what it is intended to measure.
A test that is valid is one that accurately measures the construct or characteristic it is designed to measure.
For example, if a test is designed to measure reading comprehension, it should accurately measure reading comprehension, rather than measuring some other unrelated construct.
Validity is typically assessed through various methods, such as content validity, criterion validity, and construct validity.
Content validity refers to the extent to which a test measures the content it is supposed to measure, while criterion validity refers to the degree to which a test correlates with an established criterion or gold standard.
Construct validity refers to the degree to which a test measures the construct it is intended to measure, based on a theoretical framework or model.
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If this woman pushes down on her lever with a force of 25N and the rock moves with a
force of 100N, what was the mechanical advantage?
Answers
Answer:
0.25
Explanation:
what was the most major event that signaled the start of the
scientific revolution
Answers
The scientific revolution was sparked by a combination of significant events and advancements in knowledge, but one major event that marked its beginning was the publication of Nicolaus Copernicus' book "De Revolutionibus Orbium Coelestium" (On the Revolutions of the Heavenly Spheres) in 1543.
Copernicus' book challenged the prevailing geocentric model of the universe, which placed the Earth at the center, and introduced the heliocentric model, with the Sun at the center and the Earth and other planets orbiting around it. This revolutionary idea had far-reaching implications and laid the foundation for a paradigm shift in scientific thinking.
Copernicus' work not only questioned traditional beliefs but also initiated a wave of scientific inquiry and observation. It encouraged astronomers and other natural philosophers to question the existing understanding of the cosmos and seek empirical evidence to support their theories. This marked a departure from reliance on ancient authorities, such as Aristotle and Ptolemy, and placed greater emphasis on observation, experimentation, and mathematical reasoning.
The publication of Copernicus' book ignited debates and controversies, and subsequent advancements by scientists such as Galileo Galilei, Johannes Kepler, and Isaac Newton further propelled the scientific revolution. These scientists built upon Copernicus' ideas, developing new theories and methodologies that challenged the established order and paved the way for the modern scientific approach we know today. Therefore, while the scientific revolution had multiple contributing factors, Copernicus' publication served as a significant milestone that triggered a fundamental transformation in our understanding of the natural world.
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Two stars orbiting each other are separated by 6.67 AU and revolve around their common center of gravity in 10 years. Use Newton’s form of Kepler’s third law to calculate the combined mass of the 2 stars in solar masses.
Answers
Answer:
The combined mass of the two stars is 2.9417 solar masses.
Explanation:
The mathematical expression for Kepler's third law is;
\(P^{2}\) = \(\frac{4\pi ^{2} }{k^{2} (M_{1} + M_{2} }a^{3}\)
Where: P is the period in days, a is the semimajor axis in AU, \(M_{1}\) is the mass of the first star, \(M_{2}\) is the mass of the second star and k is the Gaussian gravitational constant.
Given that;
P = 10 years = 3670 days (including two leap years)
a = 6.67 AU
k = 0.01720209895 rad
\(\pi\) = \(\frac{22}{7}\)
The sum of the masses of the two star can be determined by;
\((M_{1} + M_{2})\) = \(\frac{4\pi ^{2} }{P^{2}k^{2} } a^{3}\)
= \(\frac{4*(\frac{22}{7}) ^{2} } {(3650)^{2} * (0.01720209895)^{2} } (6.67)^{3}\)
= \(\frac{11724.29601}{3942.2904}\)
= 2.9417 solar masses
Thus the combined mass of the two star is 2.9417 solar masses.
Which of the following is an example of a biotic factor depending on an abiotic factor?
a
Fish depending on water for a habitat and for oxygen.
b
Rabbits depending on grass for food.
c
Lions depending on gazelle for food.
d
Trees depending on fungi to break down dead things in the soil.
Answers
Answer:
The correct answer is B. Algae and fungi are biotic; temperature and rainfall are abiotic.. FURTHER EXPLANATION. An ecosystem consists of all living and non-living factors in an environment that interact and that are interdependent with each other.. All living things or factors in an ecosystem are called biotic factors.Examples include organisms like plants, animals, humans, etc.
Explanation:
15.One girl was involved in a bus crash. She told the police that she was seated in the last line of seats and that when the bus stopped or crashed, one big bag that was in the front of the bus flew backward and hit her, breaking her arm Is this likely to have happened? Explain your answer
Answers
Answer: It is not likely.
Explanation:
When the bus is moving forward, all the objects inside of it also are moving forward.
Now, as the objects inside the buss are not fixed to the bus, if the bus suddenly stops the objects inside of it will keep moving forward, because of the conservation of the momentum, defined as the quantity of motion (Similar to when you are in a car and it suddenly stops, you can feel the forward impulse).
Then is not likely that, in a case where the bus stops suddenly, an object inside the bus flies backward in opposite direction to the previous movement of the bus.
a 100kg car travels at 2m/s. what is the momentum in kg
Answers
Answer:
200 kg.m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 100 × 2
We have the final answer as
200 kg.m/sHope this helps you
measure the thickness of the brake rotor. how thick is the brake rotor? please help I've Kittery spent forever trying to do this
Answers
Answer:
Explanation:
its reading the caliper
as the 0 lines up w the 1/8" mark, it is 1 1/8"
Answer:
The minimum thickness will be stamped somewhere. You see there's part numbers and other things here you might need to use a wire brush to kind of clean it up but that's the thicknessUse a micrometer at the thinnest point on the surface of the rotor where it meets the pads to measure the minimum operational thickness. If your rotor needs to be cut or has worn passed this thickness, you'll need new rotors. You may also discover your rotor has Disc Thickness Variation.
what will you do to determine the right quantity of the materials needed
Answers
Answer:
Analyse the material required to build the instrument gauge and then keep a buffer stock of 1%
Explanation:
The right quantity to buy differs for every material. There are some materials which are very expensive and are very less used than buffer stock for such materials cannot be purchased. Usually the buffer is to be on the safe side from the shortage of the material. The buffer stock kept is around 1 to 2% for metal materials.
how much does a change in mass affect the kinetic energy of two balls of comparable diameter?
Answers
Answer:
Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.
In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.
Imagine you inherit a farm and now have to purchase fertilizer for the farm. The farm is 340 acres and had corn planted the previous year. You must add fertilizer to the soil before you plant this year's crop. You go to the local fertilizer store and find SuperPhosphate-brand fertilizer. You read the fertilizer bag and can recognize from your high school chemistry class a molecular formula C*a_{3}*P_{2}*H_{14}*S_{2}*O_{21} (you don't understand anything else written on the bag because it is imported fertilizer from Japan). You must decide how much fertilizer to buy for application to your cornfields. If each bag contains 25 kg of fertilizer and costs $54.73, how many bags of fertilizer must you purchase, and how much will it cost you to add the necessary fertilizer to your fields ?
Answers
Total Cost is = $107,380 if The farm is 340 acres and had corn planted add fertilizer to the soil before you plant this years' crop.
What is called fertilizer?A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".
Why is fertilizer important?Without fertilizers, nature struggles to replenish the nutrients in the soil. When crops are harvested, important nutrients are removed from the soil, because they follow the crop and end up at the dinner table. If the soil is not replenished with nutrients through fertilizing, crop yields will deteriorate over time.
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please help quick i’ll mark you brainly
The equation below shows how to calculate work done by an applied force. W equals the work done in joules (J), F equals the applied force in newtons (N), and d equals the distance in meters (m) over which the force is applied.
W = F × d
This equation can be arranged to calculate the applied force instead:
F = W ÷ d
A scientist was performing some experiments to test the designs of some simple machines. One of her experiments involved a pulley. During the experiment, a total of 2,000 J of work was done to lift a crate 5 m straight up off the floor.
Ignoring the effects of friction, determine the applied force needed to lift the crate.
A.
2,005 N
B.
400 N
C.
10,000 N
D.
1,995 N
Answers
Answer:
The solutions to this exercise is B. 400N
A cell of emf 18v has an internal resistance of 3ohm . the terminal p.d of the battery becomes 15v when connected by a wire. find the resistance of the wire.
Answers
Answer:
Resistance = 15 Ohms
Explanation:
Given the following data;
Emf voltage = 18 V
Internal resistance = 3 Ohms
Potential difference = 15V
To find the resistance of the wire;
First of all, we would determine the current flowing through the wire.
Mathematically, the terminal potential difference is given by the formula;
V = E - IR
Where;
V is the terminal potential difference.
E is the electromotive force (emf).
I is the current.
R is the internal resistance.
15 = 18 - I*3
15 = 18 - 3I
3I = 18 - 15
3I = 3
I = 1 Amperes
Next, we find the resistance of the wire;
Voltage = current * resistance
Substituting into the formula, we have;
15 = 1 * resistance
Resistance = 15/1
Resistance = 15 Ohms
A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth. Determine the speed of the satellite.
Answers
Answer:
Speed of the satellite V = 6.991 × 10³ m/s
Explanation:
Given:
Force F = 3,000N
Mass of satellite m = 500 kg
Mass of earth M = 5.97 × 10²⁴
Gravitational force G = 6.67 × 10⁻¹¹
Find:
Speed of the satellite.
Computation:
Radius r = √[GMm / F]
Radius r = √[(6.67 × 10⁻¹¹ )(5.97 × 10²⁴)(500) / (3,000)
Radius r = 8.146 × 10⁶ m
Speed of the satellite V = √rF / m
Speed of the satellite V = √(8.146 × 10⁶)(3,000) / 500
Speed of the satellite V = 6.991 × 10³ m/s
Make a timeline that lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.
Your timeline has to include the physicists, their pictures and main laws and discoveries .
(HELP ME I'LL BRAIN E-LIST I SWEAR)
Answers
This timeline lists significant discoveries in physics and the laws of nature, including experimental discoveries, theoretical proposals that were confirmed experimentally, and theories that have significantly influenced current thinking in modern physics from 1500 to 2000.
Pre-scientific16th century17th century18th century19th century20th century21st centuryWhat is definition of timeline?
A timeline is a display of a list of chronicle in chronological order. It is usually a graphic design showing a long bar tagged with dates paralleling it, and usually present day chronicle.
Timelines can use any appropriate scale representing time, suiting the subject and statements; many use a linear dimension, in which a unit of distance is equal to a set quantity of time. This timescale is incumbent on the chronicle in the timeline.
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Which describes radioactive decay of a substance?
Answers
Two tuning forks are played at the same time. One has a frequency of 176 Hz and the other is 178 Hz. How many beats per second are heard?
Answers
Answer:
There is 2 beats per second.
Explanation:
You have to subtract them to find your answer and 178 - 176= 2
A leo satellite in a circular path has a speed of 7. 3km/s. The time it takes to travel an orbit is 6. 766 seconds. What is the radius of the satellite in km
Answers
The radius of the satellite's orbit is approximately 5,739 km.
A satellite in a circular orbit around a planet experiences a gravitational force that keeps it moving in a circular path. The speed of the satellite in its orbit depends on the radius of the orbit and the mass of the planet. The time it takes for the satellite to complete one orbit is known as the orbital period.
In this problem, we are given the speed of the satellite and the orbital period, and we are asked to find the radius of the orbit. We can use the formula v = 2πr/T to relate the speed, radius, and orbital period. Solving for the radius, we get r = vT/2π.
Substituting the given values, we get:
r = (7.3 km/s)(6.766 s)/(2π)
r = 5,739 km
This means that the satellite is traveling at a constant speed of 7.3 km/s around the planet at a distance of 5,739 km. This information is important for planning and operating satellite missions, as it allows us to determine the satellite's position and velocity at any given time.
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A sample of hydrogen (H2) gas was collected over water at 60°C. If the total volume of gas collected was 55.6 mL and the atmospheric pressure was 1.1 bar, what mass (in g) of hydrogen gas was collected above the water? The vapour pressure of water at 60°C is 150 torr.
Answers
First, calculate the partial pressure of H2 by considering the total pressure:
\(P_{\text{tot}}=P_{H2}+P_{H20}\)where,
Ptot = 1.1bar
PH20 = 150Torr
Convert the previous values to atm:
Ptot = 1.1 bar = 1.085 atm
PH20 = 150 Torr = 0.197 atm
Then, for PH2 you obtain:
\(P_{H2}=P_{\text{tot}}-P_{H20}=1.085\text{atm-}0.197\text{atm}=0.888atm\)Next, use the following equation for ideal gases:
\(PV=\text{nRT}\)where,
V: volume = 55.65mL = 0.05565 L
R: gas constant = 0.082 atm*L/mol*K
T: temperature = 60 + 273 = 333K
P: partial pressure of H2 = 0.888atm
Solve the equation for n and replace the values of the other parameters:
\(n=\frac{PV}{RT}=\frac{(0.888atm)(0.05565L)}{(0.082atm\cdot\frac{L}{\text{mol}\cdot K})(333K)}=0.00181mol\)Next, use the atomic weight to determine the mass of H2:
\(M=(\frac{2.0141g}{\text{mol}})(0.00181mol)=0.0036g\)Hence, there are 0.0036 g of H2 collected above the water
how did harry potter break the inertia law in harry potter sorcerer's stone
Answers
Answer:
He never broke the inertia law but Harry potter did break a ton of school rules some could've gotten him expelled too.
Explanation:
Answer:
he never broke law of inertia in this one but he did in a few of the others
Explanation:
Hope this helps
A 1.5 kg object is hanging from a spring with a spring constant of 15 N/m on Earth. What is the period of its up-and-down motion?
1.) 0.10 s
2.) 0.31 s
3.) 2.0 s
4.) 2.5 s
Answers
Answer: 3) 2.0
Explanation: I guessed and got it right on my assignment :)
Which three characteristics do mechanical waves and electrocmagnetic
waves share?
A. The waves begin with a disturbance.
O B. The waves transfer energy from its source.
C. The waves and their energy move outward from the source.
D. The waves and their energy can travel through empty space.
Answers
Answer:
It is A, B, and C
Explanation:
I just took the test!
The three characteristics mechanical waves and electromagnetic waves share are:
A. The waves begin with a disturbance.
B. The waves transfer energy from its source.
C. The waves and their energy move outward from the source.
What are mechanical waves and electromagnetic waves?Usually, waves transfer energy from one place to another. Mechanical waves transfers via matter where as electromagnetic waves transfers via light. Both mechanical waves and electromagnet (light) waves measured through amplitude, wavelength, frequency and both will get transmitted, refracted, reflected, absorbed, diffracted when they react with matter. Both the electromagnetic waves and mechanical waves are transverse in nature but the mechanical waves can also be in longitudinal.
So, many characteristics were similar for mechanical waves and electromagnetic waves.
Hence, Option A, B, C are the three characteristics.
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