A vertical spring stretches 3.9 cm when a 10−g object is hung from it. The object is replaced with a block of mass 25 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.
Answers
The period and frequency of the resulting simple harmonic motion is approximately 0.71 seconds calculated using the formula T = 2π √(m/k).
The period of motion of the block can be found using the formula:
T = 2π √(m/k)
where T is the period, m is the mass of the block, and k is the spring constant.
To find the spring constant, we use the formula:
k = F/x
where F is the force on the spring and x is the displacement.
The weight of the 10-g object is:
F = mg = 0.01 kg × 9.8 m/s² = 0.098 N
The spring constant is therefore:
k = F/x = 0.098 N / 0.039 m = 2.51 N/m
The mass of the block is 25 g = 0.025 kg.
Substituting these values into the formula for the period, we get:
T = 2π √(m/k) = 2π √(0.025 kg / 2.51 N/m) ≈ 0.71 s
Therefore, the period of motion of the block is approximately 0.71 seconds.
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Related Questions
how wide is the central diffraction peak on a screen 2.50 mm behind a 0.0368- mmmm -wide slit illuminated by 588- nmnm light?
Answers
The central diffraction peak is 0.039946m.
\(D\)= Screen distance = 2.50 m
\(d\)= Slit width = 0.0368 mm = 0.0368 x \(10^{-3}\) m
= Wavelength of light = 588 x \(10^{-9}\) m
ω= width of the central diffraction peak
The width of the central diffraction peak is given as
ω = \(\frac{D}{d}\)×λ
ω= (2.50)(588 x 10⁻⁹)×\(\frac{1}{0.0368 * 10^{-3}}\)
ω= 39945.65×\(10^{-6}\)
ω= 0.039946m
Diffraction is defined because of the interference or bending of waves across the corners of an impediment or thru an aperture into the vicinity of the geometrical shadow of the obstacle/aperture. The diffracting object or aperture successfully will become a secondary source of the propagating wave.
the diffraction phenomenon is defined by means of the Huygens–Fresnel principle that treats each factor in a propagating wavefront as a group of character spherical wavelets. The function bending sample is most reported while a wave from a coherent supply (inclusive of a laser) encounters a slit/aperture that is comparable in size to its wavelength, as shown in the inserted image.
This is because of the addition, or interference, of different factors at the wavefront (or, equivalently, each wavelet) that journey by way of paths of different lengths to the registering surface.
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I need help on this question.
Answers
Answer:
A
Explanation:
Is kinetic energy conserved in an elastic collision.
Answers
An elastic collision is a collision in which there is no net loss in kinetic energy in the system as a result of the collision. Both momentum and kinetic energy are conserved quantities in elastic collisions. ... They collide, bouncing off each other with no loss in speed.
How does an object's acceleration change if the net force on the object is doubled?
A. The acceleration is cut in half.
B. The acceleration does not change.
C. The acceleration is doubled.
D. The acceleration is multiplied by four
Answers
Answer:
its acceleration is doubled.
Explanation:
If the mass is doubled, then acceleration will be halved.
**halved is to divide into two equal parts**
PLEASE ANSWER AS FAST AS YOU CAN How would an observer on train A, which is moving close to the speed of light, view a clock in train B, which is stationary at the train station
A. the clock in train B appears to be the same width and to run at the same rate.
B. the clock in train B appears narrower and runs faster
C. the clock in train B appears narrower and runs more slowly
D. the clock in train B appears wider and runs more slowly
Answers
Answer:
If the trains are moving at the same speed, the answer is A.
The clock in train B appears to be the same width and to run at the same rate. Option A is correct.
It is given that an observer on train A, which is moving close to the speed of light, views a clock in train B, which is stationary at the train station.
It is required to find how an observer would observe a clock in train B.
What would an observer on train A, which is in motion, view a clock in train B?If a person is in a moving train, then his body is also in a state of motion with respect to the train at the same rate. When the observer observes any object that is at rest then it does not change the shape or size of an object. Also an object appears to run a=t the same rate due to the relative velocity attain by the observer's train.
Relative Motion is
Relative motion is the speed or the motion of an object with respect to the moving or the stationary object.
Thus the clock in train B appears to be the same width and to run at the same rate.
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1. What is the mass of an object moving at 13 m/s and having 3042 J of kinetic energy?
Answers
Answer: 36 Kg
Explanation:
Ke= 1/2MV^2
Plug in the kinectic energy (3042 J) and solve for M.
3042= 1/2 (M) (13^2)
M= 36 Kg
Please help! I'm begging anyone! This is urgent! These are the problems in physics I am having difficulty with!
1) While helping a friend move, you lift a 189 N box full of books and perform 174 J of work to do so. What distance, directly upward, do you lift the box? Show all of your work.
2) A bungee jumper with a weight of 613 N leaps off a bridge. He is in free fall for a distance of 22.6 m before the cord begins to stretch. How much work, in kilojoules, does the force of gravity do on the jumper before the cord begins to stretch? Show all of your work.
3) You and your neighbor are shoveling snow. If your neighbor pushes a shovel four times as far as you do, but exerts only half the force, which one of you does more work and by how much? Show all of your work.
Answers
Answer:
1.
Distance = 0.921 meters
2.
Work = 13.9 kJ
3.
The neighbor
Double your work
Explanation:
1.
Work = Force × Distance
Distance = Work / Force
Distance = 174J /189 N
Distance = 0.921 meters
2.
Work = force × distance
Work = (613 N) (22.6 m)
Work = 13,900 J
Work = 13.9 kJ
3.
Work is a product of force and distance, expressed as W=Fd where W is work in Nm, F is applied force and d is the distance in m
Since your neighbor pushes 4 times then you just push 1m when he pushes 4m, that is an example. Also, since the neighbor only exerts half the force i.e. 0.5N then you exert full force of 1N
Work from your neighbor will be 4d*0.5F=2dF
Work from you will be dF
Clearly, 2dF=2(dF) hence the neighbor exerts double work
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Imagine that you are sitting on a couch watching TV and that you will continue sitting on the couch watching TV until someone changes the channel. This situation is a metaphor for which of Newton's laws of motion?
-The law of inertia
-The law of action-reaction
-The law of acceleration
-None of the above
Answers
Answer:
I think the law of inertia
can someone pls help i need it fast
Answers
The results obtained from the simulation were as expected.
What is simulation?Simulation is a technique used to imitate real-world processes and systems in order to study and assess their performance. It is a powerful tool used in many different fields, from engineering, economics, and healthcare to business, education, and social sciences. Simulation allows us to experiment with different scenarios, identify problems, and analyze how changes in the system can affect its overall behavior. By using simulation, we can study complex systems in a controlled environment, instead of relying on trial and error or intuition.
The simulation showed that the amount of water vapor in the atmosphere increased as the temperature increased, which is consistent with the laws of thermodynamics. The simulation also showed that the increase in temperature caused the atmospheric pressure to decrease, which is again consistent with the laws of thermodynamics. Additionally, the simulation indicated that the amount of precipitation declined as the temperature increased, which is also consistent with the laws of thermodynamics.
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A student on an amusement park ride moves in circular path with a radius of 3.5 m once every 4.5 s. What is the tangential velocity of the student?
Answers
Answer:
the tangential velocity of the student is 4.89 m/s.
Explanation:
Given;
the radius of the circular path, r = 3.5 m
duration of the motion, t = 4.5 s
let the student's tangential velocity = v
The tangential velocity of the student is calculated as follows;
\(v = \frac{2\pi r}{t} \\\\v = \frac{2 \pi \times 3.5}{4.5} \\\\v = 4.89 \ m/s\)
Therefore, the tangential velocity of the student is 4.89 m/s.
the star vega has an average surface temperature of 10,000 k and has a luminosity 70 times greater than that of the sun. which type of star is vega
Answers
The absolute visual magnitudes of supergiants range from -3 to -8. Supergiant stars have a temperature range of from 3,450 K to 20,000 K. Supergiant stars can be 10 to 70 times more massive.
What is a magnitude example?
The magnitude of something refers to its magnitude. For instance, a car is travelling more quickly than a bike in terms of speed. The speed difference between the car and the bike in this case is greater. It reveals the absolute or relative size or direction that an object moves when in motion.
How do you define instrumental magnitude?
The visual size of a celestial body as measured by an instrument Magnitude (astronomy), a metric for determining brightness and brightness variations,
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Which animals are cold-blooded, obtain dissolved oxygen in water through gills, have scales, have fins, and live in water
Answers
Answer:
Sea fish
Explanation:
Sea fish doesn't breath through their gills but dissolved oxygen in water through gills
List five different ways velocity can change 
Answers
An object can change velocity in a number of ways: it can slow down, it can speed up, or can change direction. A change in speed, a change in direction, or a change in both speed and direction means that the object has a change in velocity.
Five Different ways are:
1. Displacement increases with time uniformly
2. Magnitude of velocity changes.
3. Direction of object changes.
4. Displacement increases with time non-uniformly
5. Both Magnitude and Direction changes
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katie measured the distance her friend morgan ran on a straight track every 2s. her measurements are recorded in the table below. what was morgan’s average speed? what was her acceleration for the entire trip?
Answers
Answer:
The average speed of her is 2 m/s.
The acceleration for the entire trip is 0.2 m/s²
Explanation:
Given that,
katie measured the distance her friend morgan ran on a straight track every 2s.
According to given chart,
We need to calculate the average speed
Using formula of average speed
\(v_{avg}=\dfrac{D}{T}\)
Where, D = total distance
T = total time
Put the value into the formula
\(v_{avg}=\dfrac{20}{10}\)
\(v_{avg}=2\ m/s\)
We need to calculate the acceleration for the entire trip
Using equation of motion
\(v=u+at\)
\(2=0+a\times10\)
\(a=\dfrac{2}{10}\)
\(a=0.2\ m/s^2\)
Hence, The average speed of her is 2 m/s.
The acceleration for the entire trip is 0.2 m/s²
Atoms of most elements are less likely to react when they have
A. 2 valence electrons
B. 4 valence electrons
C. 6 valence electrons
D. 8 valence electrons
Answers
Answer:
when they have 8 valence electrons
Determine the stopping location of the prize wheel. At this moment it is centered on the number 5. It is spinning with an energy of 6.19 J. It is slowing at a rate of 1.800 rad/s/s.
The disk is made from a wood with a density of 478.0 kg/m^3. The disk is 29.0 mm thick and has a radius of 33.0 cm.
Predict the angular displacement it will go through and predict the number on which the wheel will stop. To be safe, you will also get one number the right and to the left of the number you chose.
The wheel will spin clockwise. The wheel goes from 1 to 36.
Answers
Answer:
Thanks for the 50 points. Answer eill be always 29.0m
What is the direction of the electric field if an electron initially at rest begins to move in the north direction as a result of the field?
Answers
Answer:
South
Explanation:
I guessed and got it right
A bottle has a mass of 35.00 g when empty and 98.44 g when filled with water. When filled with another fluid the mass is 88.78g. What is the specific gravity of this other fluid
Answers
Answer:
mass of water = 98.44 - 35.00 = 63.44g
water has a density of 1000g/L
Volume of bottle = 63.44/1000 = .06344L
mass of other liquid = 88.78-35 = 53.78g
density of other liquid = 53.78g/0.06344L = 847.73g/L
Since water has a specific gravity of 1, set up a relation 1000/847.73 =1/sg
sg=.85
A figure skater on ice spins on one foot. She pulls in her arms and her rotational speed increases. Choose the best statement below.
1. Her angular speed increases because by pulling in her arms she creates a net torque in the direction of rotation.
2. Her angular speed increases because air friction is reduced as her arms come in.
3. Her angular speed increases because her angular momentum increases.
4. Her angular speed increases because her angular momentum is the same but her moment of inertia decreases.
5. Her angular speed increases due to a net torque exerted by her surroundings.
6. Her angular speed increases because her potential energy increases as her arms come in.
Answers
Answer:4
Explanation:
Trust me I'm a student
The rotational speed increases when the skater pulls her arms in because the moment of inertia decreases.
What is Angular momentum?It is the rotational momentum of the rotating object. It can be defined as the product of the moment of inertia and angular velocity.
\(L = I \omega\)
Where,
\(L\) - Angular momentum
\(I\) - moment of inertia = \(mr^2\)
\(\omega\)- angular velocity
From the equation, the angular velocity of the body is inversely proportional to the moment of inertia.
When the skater pulls her arms in, the moment of inertia decrease due to a decrease in radius,
Therefore, the rotational speed increases when the skater pulls her arms in because the moment of inertia decreases.
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If a net force of 10 newtons acts on a 6 kilogram mass of 8 seconds, the total change of momentum of the mass is
Answers
The total change in momentum of the mass is calculated to be 80.16 kg m/s.
Given that,
Force F = 10 N
Mass m = 6 kg
Time t = 8 sec
"Newton's second law states that F = m a."
Making 'a' as subject,
a = F/m = 10/6 = 1.67 m/s²
From the equations of motion, let us calculate velocity.
v = u + a t
v = 0 + 1.67 × 8 = 13.36 m/s
Δp = m(v - u) = 6 × ( 13.36 - 0) = 80.16 kg m/s
Thus, the change of momentum is 80.16 kg m/s.
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An orange dropped from a tree and had a velocity of 8 m/s just before it hits the ground. How far is the ground from orange's starting position?
Answers
The orange was at a height of 3.26 m above the ground.
State third equation of motion.The third equation of motion is
v² - u² = 2aS
Given is an orange dropped from a tree and had a velocity of 8 m/s just before it hits the ground.
We can write -
[v] = 8 m/s
[a] = 9.8 m/s²
[u] = 0 m/s
Using third equation of motion, we get -
v² - u² = 2aS
64 - 0 = 2 x 9.8 x S
64 = 19.6 x S
S = 3.26 m
Therefore, the orange was at a height of 3.26 m above the ground.
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What is the relationship between howard foster's data about earthquake occurrences and marie tharp's data about mid-ocean
ridges? (1 point)
the earthquake occurrences lined up with the mid-ocean ridges.
o mid-ocean ridges are in south america and africa. earthquakes can happen anywhere.
o earthquakes occur on land while mid-ocean ridges are underwater.
o the mid-ocean ridge was formed at the exact same time that earthquakes occurred.
Answers
A. The earthquake occurrences lined up with the mid-ocean ridges. The pattern was found by Marie Tharp while analyzing the Howard Foster's data on earth quake and seismic activity in the Atlantic.
How do mid-ocean ridges and earthquakes interact?At mid-ocean ridges, hot magma that has just emerged from the mantle is pushing the plates apart. Earthquakes happen along the cracks that form as the plates separate. Examples include the East African Rift and mid-ocean ridges where two oceanic plates are separating, like the areas close to the Azores and Iceland.
What was found when Marie Tharp mapped the ocean floor?The first comprehensive map of the world's ocean floors was released by Tharp and Heezen in 1977. Through their research, the up until that point debatable theory of plate tectonics which states that continents shift through time became more widely accepted. Our knowledge of almost everything on Earth has changed as a result of the finding.
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What is the relationship between howard foster's data about earthquake occurrences and marie tharp's data about mid-ocean
ridges?
A) the earthquake occurrences lined up with the mid-ocean ridges.
B) mid-ocean ridges are in south america and africa. earthquakes can happen anywhere.
C) earthquakes occur on land while mid-ocean ridges are underwater.
D) the mid-ocean ridge was formed at the exact same time that earthquakes occurred.
When tunning the temperature exercise to determine thermal death time and thermal death point one runs a control the control allows a comparison of the percentage of death of the cells from the heat exposure compared to normal growth without exposure to heat True or False
Answers
True. When tunning the temperature exercise to determine thermal death time and thermal death point one runs a control the control allows a comparison of the percentage of death of the cells from the heat exposure compared to normal growth without exposure to heat
Define thermal death time
The concept of thermal death time tells us how long it takes to kill a particular bacterium at a particular temperature. It was initially created for food canning but has since found use in cosmetics and the manufacture of animal feeds (such as chicken and pharmaceuticals) free of salmonella.
The phrase "thermal death point" describes the lowest temperature at which a population of a specific microorganism perishes within ten minutes. In a 10-minute exposure at this TDP, all microbes are eliminated. TDP is one metric for calculating the thermal death of microorganisms. When boiling water to purify it, TDP is a crucial measurement.
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a 50 kg aardvark runs with a speed of 6 m/s. what is the kinetic energy of the aardvark
Answers
Answer:
900 J
Explanation:
0.5 x 50= 25 x 6^2= 900 J
Which statement about Earth’s core helps explain Earth’s magnetic field?
Answers
Earth's core is composed of iron and nickel is the correct statement about earth's core.
How earth's magnetic field is generated?Earth's magnetic field is generated by the solidification of the planet's liquid iron core. The cooling and crystallization of the core moves the surrounding liquid iron that creates powerful electric currents that generate a magnetic field.
So we can conclude that Earth's core is composed of iron and nickel.
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An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.P(high-quality oil) = 0.50P(medium-quality oil) = 0.20P(no oil) = 0.30If required, round your answers to two decimal places.(a) What is the probability of finding oil?(b) After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows.P(soil | high-quality oil) = 0.20P(soil | medium-quality oil) = 0.80P(soil | no oil) = 0.20How should the firm interpret the soil test? What are the revised probabilities?Events P(Ai) P(S | Ai) P(Ai ∩ S) P(Ai | S)High Quality (A1) Medium Quality (A2) No Oil (A3) P(S)= What is the new probability of finding oil?
Answers
The new probability of finding oil is 0.17 + 0.67 + 0.16 = 1.00.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
(a) The probability of finding oil is 0.50 + 0.20 + 0.30 = 1.00.
(b) The soil test indicates that the probability of finding the soil type identified by the test is higher if there is medium quality oil content on the land rather than high quality or no oil. Thus, the firm should interpret the soil test as an indicator that there is a higher likelihood of finding medium quality oil than high quality or no oil.
The revised probabilities are as follows:
Events P(Ai) P(S | Ai) P(Ai ∩ S) P(Ai | S)
High Quality (A1) 0.50 0.20 0.10 0.17
Medium Quality (A2) 0.20 0.80 0.16 0.67
No Oil (A3) 0.30 0.20 0.06 0.16
P(S)= 0.32
The new probability of finding oil is 0.17 + 0.67 + 0.16 = 1.00.
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differences between fundamental unit and derived unit (any two)
Answers
Answer:
Fundamental units are the units of the fundamental physical quantities in SI system. They are not formed from other units. There are a total of seven fundamental units such as meter, kilogram, ampere, and second. Derived units are those units that are used for derived quantities.
Explanation:
Hope it helps
A new model BMW can start from rest and travel 400 m in 16 s. a. What is its acceleration during this time? [2] b. Calculate the final speed of the car. [2] c. How fast is this final speed in km/h?
Answers
Answer:
acceleration = 3v 125 m/s^
final speed= 50 m/s
final speed in km/hr = 180 km/hr
Explanation:
A new model BMW can start from rest and travel 400 m in 16 s.then the acceleration during this time would be 1.5625 m/s²
What are the three equations of motion?There are three equations of motion given by Newton
The first equation is given as follows
v = u + at
the second equation is given as follows
S = ut + 1/2×a×t²
the third equation is given as follows
v² - u² = 2×a×s
As given in the problem, A new model BMW can start from rest and travel 400 m in 16 s
distance covered by BMW = 400meters
initial velocity(u) = 0 m/s
time = 16 seconds
acceleration(a) =? m/s²
By using the second equation of motion given by newton
S = ut + 1/2at²
S = 400 m ,u= 0 m/s , and t =16seconds
400 = 0 + a16²
a =400/256
a = 1.5625 m/s²
For the final speed of the car
v= u + at
v = 0 + 1.5625×16
v = 25 m/s
For calculating the speed in km /h
v = 25 ×3600/1000
= 90 km/h
Thus, the acceleration during the first 16 s time would be 1.5625 m/s²
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I need help finding the average acceleration fo tyler and bree
Answers
calculate the pressure by sea water when diving to a depth of 100m.what is the pressure acting on the diver?
Answers
Answer:
P = 981000 [Pa] or 98.1 [kPa]
Explanation:
To calculate the pressure at that depth we can use the following expression that defines the static pressure of a fluid as a function of the density and depth of the body with respect to the surface of the liquid.
\(P=Ro*g*h\)
where:
P = pressure [Pa]
Ro = density of the water = 1000 [kg/m³]
g = gravity acceleration = 9.81 [m/s²]
h = depth = 100 [m]
\(P = 1000*9.81*100\\P = 981000 [Pa]\)