The position of an object in simple harmonic motion is described by the following equation: y=(0.50 m)cos(pi/2)t. What is the amplitude of vibration?

A. 0.75 m
B. 0.25 m
C. 0.50 m
D. 1.0 m

Answers

Answer 1

Answer:

C. 0.50 m

Explanation:

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Answer 2

The amplitude of the vibration with the given equation, y = (0.50) cos (π/2 ×t) is 0.50 m. Thus, option C is correct.

What is Simple Harmonic Motion?

Simple Harmonic motion is defined as the periodic motion of the body resulting from the dynamic equilibrium. It is defined as the motion in which the restoring force is directly proportional to the displacement of the body.

Simple Harmonic Motion is defined as the repetitive back-and-forth motion of the central displacement. The maximum displacement of one side is equal to the maximum displacement of the other side.

The simple harmonic motion. F ∝ -x or a ∝ -x, where F is force and a is the acceleration of the body, and x is the displacement. The maximum displacement of the body is called the amplitude of the motion.

The energy is purely kinetic at its mean positions whereas the energy is purely potential at its extreme ends. The harmonic motion is also called oscillatory motion.

From the given, SHM equation, y = A sin(ωt) where A is the amplitude of the wave and ω is the angular frequency of the wave. In the cosine function,  y = A cos(ωt + Ф) where Ф is the phase change.

Thus, the amplitude of the vibration is 0.50 m. Hence, the correct option is C.

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Related Questions

EASY PLEASE HELP. As the rocket rises, it's kinetic energy changes. at the time the rocket reaches its highest point most of the energy of the rocket has been-

A) permanently destroyed
B) transformed into potential energy
C) converted to friction
D) stored inside the body of the​

Answers

Answer:

c

Explanation:


Under constant acceleration, the average velocity of a particle is half the sum of its initial and final
velocities. Is this still true if the acceleration is not constant? Explain.

Answers

Answer:

It is not still true that the average velocity of the particle is equal to half the sum of the initial and final velocities when the acceleration of the particle is not constant

Explanation:

The motion of a particle under constant acceleration, 'a', is be given by the following kinematic equations;

v² = u² + 2·a·s

v = u + a·t

Where;

v = The final velocity of the particle

u = The initial velocity of the particle

a = The acceleration of the particle

s = The distance through which the particle travels

t = The time of motion of the particle

By simplifying the above equation, we have;

v² - u² = 2·a·s

(v² - u²)/(2·a) = s

(v - u) × (v + u)/(2 × a) = s

((v - u)/a) × ((v + u)/2) = s

From v = u + a·t, we have;

t = (v - u)/a

∴ ((v - u)/a) × ((v + u)/2) = t × ((v + u)/2) = s

∴ ((v + u)/2) = s/t

The average velocity = (Total distance traveled by the particle) ÷ (The time of travel of the particle)

∴ The average velocity = s/t = ((v + u)/2) = Half the sum of the initial and final velocity

However, it is not still true that the average velocity of the particle is equal to half the sum of the initial and final velocities when the acceleration of the particle, 'a', is not constant, as the velocity time graph is no longer a straight line graph and the distance traveled by the particle, 's', which is the area under the velocity time graph, 'A', (given by the sum of area of the triangle and the rectangle given by the area under straight line graph for constant velocity) cannot be given directly by the product of the time and the average velocity.

what is a example of the doppler effect

Answers

Answer:

The change in pitch of a siren on an ambulance

Answer:

Explanation:

The drop in pitch of ambulance sirens as they pass by and the shift in red light are common examples of the Doppler Effect.

what energy change takes place when the cell absorbs sunlight

Answers

Answer:

It is called photosynthesis.

Explanation:

What is the kinetic energy of a 25kg object moving at a velocity of 2.5 m/s

Answers

Answer:

78j

Explanation:

78.125J to be exact

A body is at equilibrium under the action of three forces. One force is 10N acting due east and one is 5N in the direction 60° north east. What is the magnitude and direction of the third force?​

Answers

Answer:

If the body is in equilibrium the two forces add up and the third is the opposite of the resultant.

F(1x)=F(1)=10 N

F(2x)=F(2)cos60=5•0.5=2.5 N

F(2y) =F(2)sin60 = 5•0.866= 4.33 N

F(3x) =- F(x)=- (10+2.5 )= -12.5 N

F(3y) =- F(2y)= - 4.33 N

F(3) = sqrt{ F(3x)²+F(3y)²} =13.23 N

tan φ = F(3y)/F(3x) =4.33/12.5=0.364

φ = 19.1⁰ (south-west)

Explanation:

A bullet of mass 50 g travelling with a speed of 15ms penetrates into a
bag of sand and is uniformly brought to rest in 0.05s.

Find
(a) How for the bullet will penetrate into the bag of sand?
(b) The Average force exerted by the sand ?

Answers

Answer:

a) The bullet will penetrate 0.375 meters into the bag of sand.

b) The average force exerted by the sand is 15 newtons.

Explanation:

The statement is incorrectly written. The correct form is presented below:

A bullet of mass 50 grams travelling with a speed of 15 meters per second penetrates into a bag of sand and is uniformly brought to rest in 0.05 second.

a) How far the bullet will penetrate into the bag of sand?

b) The average force exerted by the sand?

b) The average force exerted by the sand on the bullet ([tex]F[/tex]), measured in newtons, is determined by Principle of Linear Momentum Conservation and Impulse Theorem:

[tex]F = \frac{m\cdot (v_{f}-v_{o})}{\Delta t}[/tex] (1)

Where:

[tex]m[/tex] - Mass of the bullet, measured in kilograms.

[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final speeds of the bullet, measured in meter per second.

[tex]\Delta t[/tex] - Impact time, measured in seconds.

If we know that [tex]m = 0.05\,kg[/tex], [tex]v_{o} = 15\,\frac{m}{s}[/tex], [tex]v_{f} = 0\,\frac{m}{s}[/tex] and [tex]\Delta t = 0.05\,s[/tex], then the average force exerted by the sand is:

[tex]F = \frac{(0.05\,kg)\cdot \left(0\,\frac{m}{s}-15\,\frac{m}{s} \right)}{0.05\,s}[/tex]

[tex]F = -15\,N[/tex]

The average force exerted by the sand is 15 newtons.

a) The distance travelled by the bullet ([tex]\Delta s[/tex]), measured in meters, is determined by application of Principle of Energy Conservation and Work-Energy Theorem:

[tex]\Delta s = \frac{m\cdot (v_{f}^{2}-v_{o}^{2})}{2\cdot F }[/tex] (2)

If we know that [tex]m = 0.05\,kg[/tex], [tex]v_{o} = 15\,\frac{m}{s}[/tex], [tex]v_{f} = 0\,\frac{m}{s}[/tex] and [tex]F = -15\,N[/tex], then the distance travelled by the bullet is:

[tex]\Delta s = \frac{(0.05\,kg)\cdot \left[\left(0\,\frac{m}{s} \right)^{2}-\left(15\,\frac{m}{s} \right)^{2}\right]}{2\cdot (-15\,N)}[/tex]

[tex]\Delta s = 0.375\,m[/tex]

The bullet will penetrate 0.375 meters into the bag of sand.

What will be the value of both charges if they are 5 cm apart and suffer a
attraction force of 5.2 N.

Answers

Answer:

[tex] \boxed{q = 1.2 \times {10}^{ - 6} C}[/tex]

Explanation:

[tex]f_e = \frac{{q}^{2}k }{ {r}^{2} } \\ q = \sqrt{ \frac{f_e( {r}^{2} )}{k} } = \sqrt{ \frac{5.2(5 \times {10}^{ - 2} )^{2} }{9 \times {10}^{9} } } \\ q =\sqrt{ \frac{5.2(5 \times {10}^{ - 2} )^{2} }{9 \times {10}^{9} } } = \sqrt{ \frac{0.013}{9 \times {10}^{9} } } \\ q = 1.2 \times {10}^{ - 6} [/tex]

Can someone pls help me. WILL MARK U BRAINLIEST!!!

Answers

You can look up the answer key to that , that’s what I always do and it always pops up

What type of reaction feels cold to the touch? A. Endothermic, because energy is being released into the surroundings B. Endothermic, because energy is being absorbed from the surroundings C. Exothermic, because energy is being released into the surroundings D. Exothermic, because energy is being absorbed from the surroundings

Answers

Answer:

D. Exothermic, because energy is being absorbed from the surroundings

Explanation:

This is true about the Exothemic reaction due to the fact that, the reaction occurs outside the body. During this reaction, the energy being absorbed from the surrounding environment will hit the body surface thereby creating the coldness due to the heat given out from the body  being minimal.

Answer:

Endothermic, because energy is being absorbed from the surroundings.

Explanation:

Which is not an Ultimate Frisbee rule?

Answers

You can’t run with the disk, so the answer is B
b
Step by step explanation

The attaction between magnets is a chemical property.
True
Or
False

Answers

Answer:

false its an attraction property

Answer:

True

The attraction is a chemical property.

What is angle between the vectors 2i -3j +K
and 3i +2j
?
a. 90°
C. 60°
b. 0°
d. 120°​

Answers

Answer:

the answer is B

Explanation:

edg 2020

A minibus drives with a constant speed of 32 km/h. How long will it take to travel a distance of 48 kilometers?

Answers

Distance covered = (speed) x (time)

Time = (Distance covered) / (speed)

Time = (48 km) / (32 km/hr)

Time = (48/32) hr

Time = 1.5 hrs (1 hour 30 minutes)

A force of 3kN acts on a car to make it accelerate by 1.5m/s/s. What is the mass of the car?

Answers

Answer:

2

Explanation:

To find force it's force = mass times acceleration so to find mass you would divide force by acceleration

If you are in a car that is being pulled down a 56 m path with a force of 12.5
N, what is the work being done?

Answers

Answer:

answer is 700 joules

Explanation:

work is equal to force into displacement

W=12.5*56

700 joules

When more energy is released when new bonds are formed. Which bonds are stronger. Please add why

1. The bonds that are formed
2. The bonds that are broken

Answers

Answer:

the bonds that are formed

Explanation:

Energy is absorbed in order to break bonds.  Energy is released when new bonds are formed. Bond-making is a process of exothermic. Whether the reaction is endothermic or exothermic refers to the difference between the energy needed to break bonds and the energy released when new bonds are formed.

Using the picture below, what is the displacement of the triangle?

Answers

Answer:

i think it is 40 kilometers in the positive direction... if not im sorry

Explanation:

Cutting down the forest reduces the size of animal habitats, increases erosion, and results in an increase in the amount of carbon dioxide in the atmosphere. In order to stop the harmful effects of cutting down trees, humans can A. clean up litter along the sides of the road. B. clear away the tree trunks and leave the land bare. C. dig up the land and use it as a landfill. D. plant more trees where forests are cut down.

Answers

Answer: D. plant more trees where forests are cut down.

Explanation:

Deforestation has to do with the cutting down of trees. Cutting down the forest reduces the size of animal habitats, increases erosion, and results in an increase in the amount of carbon dioxide in the atmosphere.

Ok order to tackle the above, it is necessary that we should plant more trees where forests are cut down.

Determine Average Speed.
Total distance = 800 mi
Total time = 10 hr

Answers

Explanation:

Average Speed.=Total distance/Total time=800/10=80m/hour

The formula of average speed is distance divided by time so 800/10= 80

Which radio wave technologies would be unaffected by satellites that are not working properly?
space communication and television broadcasting television broadcasting and GPS O MRI and radio telescopes
O radio telescopes and space communication​

Answers

Answer:

MRI and Radio telescopes

MRI and radio telescopes would be unaffected by satellites that are not working properly.

What is radio wave?

The longest wavelengths in the electromagnetic spectrum are found in radio waves, which typically have frequencies of 300 gigahertz (GHz) and lower. The wavelength for 300 GHz is 1 mm, which is shorter than a grain of rice, while the wavelength for 30 Hz is 10,000 km (6,200 miles) (longer than the radius of the Earth).

Radio waves move at the speed of light in a vacuum, as do all electromagnetic waves, and at a nearly identical speed in the Earth's atmosphere.

Among the given options, space communication and television broadcasting television broadcasting and GPS  and  radio telescopes and space communication​ are affected by satellites that are not working properly because they are operated by satellite technology.

Hence, only MRI and radio telescopes would be unaffected by satellites that are not working properly.

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Alyssa is taking a walk on a nature path near her neighborhood. She
carries a compass with her. As she walks along the path, she notices
the needle on the compass is occasionally deflected from its original
position. If she has not changed the direction she is walking, what is
most likely causing the occasional shift in the needle? (1 point)
O Changes in pressure
0 Changes in temperature
O Sources of electrical current
O Changes to Earth's magnetic field

Answers

Answer:

C. Sources of electrical current!

Hope this helps :)

Answer:

Sources of electrical current

Explanation:

Got it right on the test.

5. If an object has an acceleration of 0 m/s2, then one can be sure that the object is not ____.

a. moving

b. changing position

c. changing velocity


6. If car A passes car B, then car A must be ____.

a. accelerating.

b. accelerating at a greater rate than car B.

c. moving faster than car B and accelerating more than car B.

d. moving faster than car B, but not necessarily accelerating.

7. Which one of the following is NOT consistent with a car which is accelerating?

a. A car is moving with an increasing speed.

b. A car is moving with a decreasing speed.

c. A car is moving at a high speed.

d. A car is changing direction.

8. A fullback is running down the football field in a straight line. He starts at the 0-yard line at 0 seconds. At 1 second, he is on the 10-yard line; at 2 seconds, he is on the 20-yard line; at 3 seconds, he is on the 30-yard line; and at 4 seconds, he is on the 40-yard line. This is evidence that

a. he is accelerating

b. he is covering a greater distance in each consecutive second.

c. he is moving with a constant speed (on average).

Answers

Answer: c

Explanation: for #5 it can still be moving, just at a constant speed; therefore, it will be c.

If an object has an acceleration of 0 m/s2, then one can be sure that the object is not changing velocity.

If car A passes car B, then car A must be moving faster than car B, but not necessarily accelerating.

The not consistent with a car that is accelerating is a car is moving at a high speed.

A fullback is running down the football field in a straight line. He starts at the 0-yard line at 0 seconds. At 1 second, he is on the 10-yard line; at 2 seconds, he is on the 20-yard line; at 3 seconds, he is on the 30-yard line; and at 4 seconds, he is on the 40-yard line. This is evidence that he is moving with a constant speed (on average).

What is Acceleration?Acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). Speed is the distance covered in a unit of time while acceleration is the rate of change in speed. The unit of speed in the metric system is meters per second (m/s) while that of acceleration is meters per second squared (m/s2). Speed is a scalar quantity while acceleration is a vector quantity.

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Draw the position vs. time graph for a person walking at a constant speed of 1m/s for 10 seconds. On the same axes, draw graph for a person running at a constant speed of 4m/s

Answers

Plot a graph, constant speed of movements represented as straight lines. Time on X axis (seconds)  and position on Y axis (metres) , calculated by moving, e.g 4metres in a second.

Please HELP ME If the motion of an object changes, what must be true about the forces acting on that object?

Answers

Answer:

If there is a net force acting on an object, the object will have an acceleration and the object's velocity will change. ... Newton's second law states that for a particular force, the acceleration of an object is proportional to the net force and inversely proportional to the mass of the object.

Explanation:

If the motion of an object changes, the net force on the object is greater than zero or the forces acting on the object is unbalanced.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object. The object will move in the direction of the applied force.

When the net force on an object is zero, the object will be remain at rest.

However, when the net force on object is greater than zero, the object will move in the direction of the greater force.

Thus, we can conclude that if the motion of an object changes, the net force on the object is greater than zero or the forces acting on the object is unbalanced.

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___________________ is the opposition to the flow of electric charge. (Resistance or Electric power)

Answers

Answer:

The answer is Resistance

Answer:

Resistance

Explanation:

it opposes the flow of energy

Someone help me please I need to pass this quiz , this is the only quiz that It making me fail this class !!!

Select the correct items. Click the bottom right arrow to go to the next set . Click the checkmark ( Available on the last set ) to submit all your answers

Slow twitch muscle Fibers

Can contract repeatedly
Only anaerobic sources
Both aerobic & anaerobic
Produce most force
Endurance activities
Fast contraction speed
Fatigue quickly
Only aerobic sources
Speed, strength, power


Fast twitch Type lla muscle Fibers

Only aerobic sources
Fast contraction speed
Speed, strength, power
Only anaerobic sources
Fatigue quickly
Endurance activities
Produce most force
Can contract repeatedly
Both aerobic & anaerobic


Fast twitch type llx muscle Fibers

Can contract repeatedly
Only anaerobic sources
Only aerobic sources
Both aerobic & anaerobic
Fast contraction speed
Produce most force
Fatigue quickly
Endurance activities
Speed, strength, power

Answers

Answer:

1. Endurance activities

Only aerobic source

2. Can contract repeatedly

Speed strength and power.

Both aerobic and anaerobic sources

3. Fast contraction speed

Only anaerobic sources

Produce most force

Fatigue quickly

Speed, strength and power

Explanation:

I hope this helps. Although, I'm about 80% sure of the answer.

Which of the following has the most kinetic energy?
A. stretching a rubber band
B. a jet flying through the air
C. throwing a paper airplane
D. pitching a baseball

Answers

B and C
Throwing an paper airplane & A jet flying through the air.

A phonograph record 0.15 m in its radius rotates 18 times per 90 seconds what is the frequency?

Answers

Answer:

The frequency of the phonograph record is 0.2 Hz

Explanation:

The frequency of an object moving in uniform circular motion is the number of completed cycles the object makes in a specified time period

The given parameters of the phonograph record are;

The radius of the record = 0.15 m

The number of times the phonograph record rotates, n = 18 times

The time it takes the phonograph record to rotate the 18 times, t = 90 seconds

The frequency of the phonograph record, f = (The number of times the phonograph record rotates) ÷ (The time it takes the phonograph record to rotate the 18 times)

∴ The frequency of the phonograph record, f = n/t = 18/(90 s) = 0.2 Hz

The frequency of the phonograph record = 0.2 Hz.

Which has a larger acceleration, a car or a person running?

Answers

Answer:

A car

Explanation:

A carrrrrrrrrrrrrrrr
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