When a force of 20.0N is applied to a spring, it elongates 0.20m. Determine the period of oscillation of a 4.0kg object suspended from this spring

Answers

Answer 1
So what we can do is apply the Hooke's law wich states that
F = -kx ( P.S the -ve sign means opposite in direction ) 
Also we will need to determine the spring's constant with the formula:
k = F / x 
Where F = the force ( = 20 N ) 
x = the displacement of the end of the spring from it's position ( = 0.20 m ) 
k = the spring's constant ( = unknown ) 
So this would be: k = 20 / 0.20 = 100 N/m 
The period of oscillation of 4 kg : T = 2 * pi * square root m / k 
T = 2 * pi * square root 4 / 100 
T = 1.256 seconds
Hope it helps
Answer 2

Final answer:

The period of oscillation of a 4.0kg object suspended from a spring when a force of 20.0N elongates it by 0.20m is approximately 1.26 seconds, calculated using the formula T = 2π√(m/k) where k is the spring constant.

Explanation:

The period of oscillation for a mass suspended from a spring depends on the spring constant k and the mass m. The period T is given by the formula T = 2π√(m/k), where m is the mass in kilograms and k is the spring constant in newtons per meter.

To find the spring constant, we use the fact that when a force F is applied to a spring, it stretches by a distance x, and F = kx. Thus, k = F/x. In this case, a force of 20.0N elongates the spring by 0.20m, so the spring constant k is 100 N/m.

With k = 100 N/m and m = 4.0 kg, we can calculate the period T as follows:

T = 2π√(4.0kg / 100 N/m) = 2π√(0.04)

T ≈ 1.26 seconds. Therefore, the period of oscillation of a 4.0kg object suspended from this spring is approximately 1.26 seconds.


Related Questions

Which of the following is not a mineral?

A. Natural diamond
B. Coal
C. Gold

Answers

Coal. Coal comes front plant matter so it isn't a true mineral technically
Both of the diamond and gold are minerals , coal has some combinations of minerals but is classified as a sedimentary rock. So therefore B. coal is not a mineral

J is the midpoint of The coordinates of J are (-8,7) and the coordinates of K are (3,4) find the coordinates of L. can someone help me? i get really confused with geometry and im trying to finish this final and im not sure how to solve this problem ...?

Answers

Solution:

STEP 1:Let the coordinates of L be (x,y). Then use the Midpoint formula to solve for x and y 
(3 + x)/2 = -8 and (4+ y)/2 = 4 

3 + x = -16 and 4 + y =8
x = -16 -3 and y = 8 - 4
x= -19 and y= 4 

Therefore the coordinates of L are (-19,4)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

An artillery shell is fired at an angle of 62.7
above the horizontal ground with an initial
speed of 1520 m/s.
The acceleration of gravity is 9.8 m/s2 .
Find the total time of flight of the shell,
neglecting air resistance.
Answer in units of min ...?

Answers

Final answer:

To find the total time of flight of the artillery shell, we can use the kinematic equation for vertical motion. By calculating the vertical component of the initial velocity and plugging in the known values, we can solve for the time of flight. Finally, we can convert the time to minutes by dividing by 60.

Explanation:

To find the total time of flight of the shell, we can use the kinematic equation for vertical motion: d = v0yt + 0.5gt2. In this equation, d represents the vertical displacement of the shell (which is 200 m), v0y represents the vertical component of the initial velocity (which can be found using v0y = v0sin(θ)), t represents the time of flight, and g represents the acceleration due to gravity.

Since the shell is fired at an angle of 62.7° above the horizontal, the vertical component of the initial velocity can be calculated as v0y = 1520 m/s * sin(62.7°). Plugging in the known values, we can solve for t.

Once we have the time of flight, we can convert it to minutes by dividing by 60 (since there are 60 seconds in a minute).

Does gravity increase or decrease with greater distance?

Answers

Decrease. Gravity is stronger here on earth than on the moon.

Which best describes the difference between internal and thermal energy?

Answers

Internal energy cannot be transferred whereas, thermal energy is the energy due to temperature difference

Internal energy is the total potential and kinetic energies in a substance, and thermal energy is the part of internal energy that can be transferred to another substance. The answer on edge would be C.

What increases as sound waves increase in frequency?

pitch
amplitude
decibels
loudness

Answers

I believe the answer would be pitch. Hope this helps!

Answer: pitch

Explanation:

Pitch is the perception of the frequency of a sound: this means that pitch is directly proportional to the frequency of the sound.

Therefore, if the frequency of the sound wave increases, the pitch increases as well.

The theory of plate tectonics developed in part from an earlier hypothesis about how continents move. What is the name of this earlier hypothesis?

A.
continental drift
B.
earthquake development
C.
natural selection
D.
evolution


Answers

I think it maybe A. Continental Drift

its A i know my science

The following graph shows the rates of decay for four parent isotopes. Based on the graph, which parent isotope most likely has a half-life of 13 billion years?

A

B

C

D

Answers


Just look at the graph, and find a curve that has fallen to
half of its original value 95 = 47.5 in 13 B years.

Do I really hafta tell you which one it is ?

















It's curve ' C ' .

Answer:

A or B (mostly A)

Explanation:

After 14 billion years, approximately 85% of the original parent isotope will still exist, compared to roughly 45% of parent isotope C, 12.5% of parent isotope B, and nearly none of the parent isotope A!

We know curve D represents the parent isotope with the longest half-life, and curve A represents the parent isotope with the shortest half-life!

We also know it cannot be D or C. So we are stuck with curves B and A! However, since parent isotope B has 12.5% parent isotopes left after 14 billion years(1billion years before the year we are talking about), and nearly none of the parent isotope A is left, this leads me to beleive that the answer is curve, or parent isotope, A!

I am sorry if i am wrong though.

Have a marvelous day!

Suppose that two objects attract each other with a gravitational force of 16 units. If the distance between the two objects is doubled, what is the new force if attraction between the two objects?

Answers

The formula for the gravitational force has (distance)² in the denominator.
That tells us that more distance produces less force, and that the force
shrinks as fast as the square of the distance grows.

Double the distance  ==> 1/(2)² as much force = 1/4 the force = 4 units

Answer:

4

Explanation:

Which statement correctly describes the relationship between current, voltage, and resistance? If we

A: decrease the resistance, and do not change the voltage, the current will decrease.

B: decrease the voltage, and do not change the resistance, the current will also decrease.

C: increase the resistance, and do not change the current, the voltage will remain the same.

D: increase the current, and increase the resistance, the voltage will decrease.

Answers

B.
If we decrease the voltage, and do not change the resistance,
then the current will also decrease.

Answer: Option (b) is the correct answer.

Explanation:

According to ohm's law, the relationship between voltage, resistance, and current is that current passing through a conductor is directly proportional to the voltage over resistance.

Mathematically,           I = [tex]\frac{V}{R}[/tex]

From this relationship we can see that when we decrease the voltage, and do not change the resistance, the current will also decrease. As current is directly proportional to voltage and inversely proportional to resistance.


This law states that a planet's elliptical orbit around the Sun sweeps equal amounts of area in an equal amount of time. This means that each planet travels faster near the Sun and slower farther from it.
A. law of ellipses
B. law of inertia
C. equal areas law
D. harmonic law

Answers

This law states that a planet's elliptical orbit around the Sun sweeps equal amounts of area in an equal amount of time. This means that each planet travels faster near the Sun and slower farther from it. The law is C. Equal areas law.

The law is C.) Equal areas law

The gravitational force between a satellite and Earth’s moon is 324 N. The mass of the moon is 7.3 × 1022 kg. If the distance from the moon to the satellite is 2.6 × 106 m, what is the mass of the satellite?

Answers

Answer:

449.824 kg

Explanation:

F = Gm₁m₂/r²

Above equation can be used to find the gravitational force between two objects.

Here F is the Gravitational force. m₁ , m₂ are the masses of the objects and r is the distance between the objects. Let's take m₁ as the mass of the moon. Then m₂ is the mass of the satellite.

We are given that F = 324 N , m₁ = 7.3 * 10²²kg and r = 2.6 * 10 ⁶m.

              324  =  6.67×10⁻¹¹ × m₁ × 7.3×10²² / (2.6 × 10⁶)²

                  m₁ = 449.824 kg

Answer:

answer above is right just round its 450kg

Explanation:


Which statements about Earth’s core help explain Earth’s magnetic field? Check all that apply.



Earth’s core is composed of magnets.


The inner core is solid.


The outer core is solid.


The inner core is liquid and moving.


The outer core is liquid and moving.


Earth’s core is composed of iron and nickel.

Answers

The inner core is liquid and moving.

Answer:

The inner core is solid.

The outer core is liquid and moving.

Earth’s core is composed of iron and nickel.

Explanation:

Convection currents are produced in the outer liquid core. This motion together with the Earth's rotation creates a system of electrical currents, since it is composed of metals such as iron and nickel. The magnetic fields generated by the electric currents align, creating the Earth's magnetic field. The solid inner core acts as a stabilizer of the magnetic field generated by the liquid outer core.

If you wanted to increase the gravitational force between two objects what would you do

Answers

double the force on the object

it would decrease the distance

Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 2.00 times the mass of B, and the energy stored in the spring was 68 J. Assume that the spring has negligible mass and that all its stored energy is transferred to the particles. Once that transfer is complete, what are the kinetic energies of each particle?

Answers

I have a solution to the same problem here, however, with a slight change in the given such as: 2 times; 68 Joules. When examining this solution, I can assure you that you can now answer the problem on your own.

Using the conservation of momentum, 

0 = MaVa + MbVb 

where 

Ma = mass of particle A 

Va = final velocity of particle A 

Mb = mass of particle B 

Vb = final velocity of particle B 

Since Ma = 4(Mb), then the above formula becomes 

0 = 4(Mb)(Va) + Mb(Vb) 

Va = - (Vb/4) 

(KE)a = kinetic energy of particle A = (1/2)(Ma)(Va)^2 

(KE)b = kinetic energy of particle B = (1/2)(Mb)(Vb)^2 

Taking the ratio of the two kinetic energies, 

(KE)b/(KE)a = [(1/2)(Mb)(Vb)^2]/[(1/2)(Ma)(Va)^2] 

and since 

Ma = 4(Mb) 

and 

Va = -Vb/4 

then the above simplifies to 

(KE)b/(KE)a = [(Mb)(Vb)^2]/[(4Mb)(Vb/4)^2] 

(KE)b/(KE)a = 1/(4*1/16) = 4 

Therefore, 

(KE)b = 4(KE)a -- call this Equation A 

Using the law of conservation of energy, 

58 = (KE)a + (KE)b 

and since (KE)b = 4(KE)a (from Equation A), the above simplifies to 

58 = (KE)a + 4(KE)a 

5(KE)a = 58 

(KE)a = 11.6 joules 

Hence, 

(KE)b = 4(11.6) = 46.4 joules 

ANSWER: 

Kinetic energy of particle A = 11.6 joules 

Kinetic energy of particle B = 46.4 joules 

Hope this helps.

T/F:Most of the energy we use today comes from renewable sources.

Answers

I'm not very sure but I think it is true.

A force of 400 Newtons stretches a spring 2 meters. A mass of 50 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. After finding the equation of motion, calculate x(t = pi/12).

Answers

If we start taking into account the free body diagram, we then start damping motion of a body by means of this equation:
m * d^2 x/dt^2 + c* dx/dt + k* x = 0 

free undamped motion is when (c =0) 
therefore 
50* d^2 x/dt^2 + 200* x = 0 
w = omega = sqrt(k/m) = sqrt(200/50) = 2 

Then  

A*cos(w*t) + B*sin(w*t) = x 

find A and B using intial conditions and you will get the rest that you need. Hope this helps

a moving truck has more __ energy than a parked truck

Answers

Final answer:

A moving truck has more kinetic energy than a parked truck.

Explanation:

In physics, potential energy is the energy that an object possesses due to its position or condition. When comparing a moving truck and a parked truck, the moving truck has more kinetic energy than the parked truck.

What happens when the electron moves from the first energy level to the second energy level?
Energy is absorbed, and an emission line is produced.
Energy is released, and an emission line is produced.
Energy is absorbed by the atom.
Energy is lost from the atom.

Answers

Energy is absorbed by the atom.

Emission lines occur only in the case of transitions from higher to lower energy levels in which energy is emitted.

Fill in the blank:energy can never be created or destroyed, just ------- or --------

Answers

I am pretty sure the answer is transformed or converted.

1. With manual transmission, use your right foot for the brake and accelerator and left foot for the clutch. true or false

Answers

Correct answer is False.

Which of the rays drawn above would be correct as the light goes from the air into the water?

A, B, or C ??

Answers

The correct answer you are looking for is "A". Have a great day!

Answer:a

Explanation:test

A 70kg divers steps off of a 10m tower and drops from rest straight into the water. If he comes to rest 5m beneath the surface, determine the average resistance force exerted on him by the water.

Answers

Kinetic Energy:
K E= m g h
h = 10 m,  d = 5 m.
m g ( h + d ) - F d = 0
m g ( h + d ) = F d
70 * 9.8 * 15 = F * 5
10,290 = 5 F
F = 10,290 : 5
F = 2,058 N

First, we need to calculate the total distance that the diver travelled. The diver jumped off a 10-meter tower and went 5 meters under the water. Therefore, the total distance travelled by the diver is 10 meters (from the tower) plus 5 meters (underwater), which equals 15 meters.

Next, we will determine the work done on the diver. The work done is equal to the change in potential energy, which can be calculated by multiplying the diver's mass by gravity and then by the total distance the diver travelled. Given that the diver's mass is 70kg and the acceleration due to gravity is 9.8m/s², the work done is 70kg * 9.8m/s² * 15m, which equals 10290 Joules.

Finally, we'll find the average resistance force exerted on the diver by the water. The work done on the diver is also equal to the average force times the distance. Therefore, the average force is the work done divided by the distance. When you divide the work done (10290 Joules) by the total distance travelled (15 meters), you get an average force of 686 Newtons.

Hence, the total distance travelled by the diver in water is 5 meters, the work done on the diver is 10290 Joules, and the average resistance force exerted on the diver by the water is 2058 Newtons.

Learn more about Average resistance force exerted by water on a diver here:

https://brainly.com/question/35392518

#SPJ11

What is the sequence of energy transformations associated with a hydroelectric dam?

Answers

gravitational potential energy to kinetic energy into mechanical then electrical 
To make it simple, the right answer is B.

Describe several uses of plastic, and explain why plastic is a good choice for these products

Answers

plastic is used in many things like bags, toys, nd certain products. Plastic is very durable nd flexible :) hope i helped a bit c;

A 65kg person throw a 0.045kg snowball forward with a ground speed of 30m/s. A second person, with a mass of 60kg, catches the snowball. Both people on the skate. the first person is initially moving forward with speed of 2.5m/s, and the second person is initially at rest. what are the volocities of the two people after the snowball is exchanged? disregard friction between the skates and the ice

Answers

Well, st first we should find initial momentum for the first person represented in the task which definitely must be :
[tex](65+0.045)*2.5[/tex]
And then we find the final one :  [tex]65*x + 0.045*30[/tex]
Then equate them together : [tex]x=2.48 m/s[/tex] 
So we can get the velocity, which is [tex] is 2.48 m/s[/tex]
In that way, according to the main rules of conservation of momentum you can easily find the solution for the second person.
Regards!

Galileo discovered that the orbits in which planets move around the Sun are elliptical.

True or False

Answers

Galileo discovered that the orbits in which planets move around the Sun are elliptical.

false

Answer: False

Explanation:

Galileo proved the heliocentric model by studying the position of Venus. He believed the sun to be center and all other bodies revolved around it in circular orbits which was disproved by Kepler. Kepler developed laws of planetary motion. One of which states that planets revolve around Sun in elliptical orbits with Sun at one of its foci. Thus, the given statement is false.

When an electric current passes through water, _____ takes place, breaking down the compound into hydrogen and oxygen.?

Answers

I believe that would be electrolysis.



Turner’s treadmill starts with a velocity of
−2.7 m/s and speeds up at regular intervals
during a half-hour workout.After 33 min, the
treadmill has a velocity of −7.1 m/s.
What is the average acceleration of the
treadmill during this period?
Answer in units of m/s
...?

Answers

33 60 

--- 

1980 33*60sec = 1980 sec for comparison

By definition, we have to:

[tex] vf = a * t + vo
[/tex]

Where,

vf: final speed

vo: initial speed

t: time

a: acceleration

Clearing the acceleration we have:

[tex] a = \frac{vf-vo}{t}
[/tex]

When replacing values we have to take into account two things:

1) Assume that the given speeds are positive

2) The time must be in seconds

The time in seconds is:

[tex] t = 33 * 60

t = 1980
[/tex]

Then, replacing values we have:

[tex] a =\frac{7.1-2.7}{1980}
[/tex]

[tex] a = 0.002 \frac{m}{s ^ 2}
[/tex]

Answer:

The average acceleration of the treadmill during this period is:

[tex] a = 0.002 \frac{m}{s ^ 2}
[/tex]

what units is length in

Answers

Some units of length are: meters, centimeters, kilometers, etc...
Sisteme International recognises only meters.
In physics calculations we use only meters.

However, there are also multimeters, kilometres, ft, miles
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