Answer:
UR ANSWER IS WAVELENGTH
An object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below. (a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second? (b) What is t the first time that the object is at its farthest right? (c) At the time found in part (b), what is the object's velocity? (d) At the time found in part (b), what is the object's acceleration?
Answer:
a.) 10Hz
b.) 0.1 s
c.) 187.4 m/s
d.) -412.6 m/s^2
Explanation:
Given that an object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below.
(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second?
from the equation given, the angular speed w = 20π
but w = 2πf
where f = frequency.
substitute w for 20π
20π = 2πf
f = 20π/2π
f = 10 Hz
(b) What is t the first time that the object is at its farthest right?
since F = 1/T
T = 1 / f
T = 1/10
T = 0.1 s
Therefore, the t of first time that the object is at its farthest right is 0.1 s
(c) At the time found in part (b), what is the object's velocity?
The velocity can be found by differentiating the equation;
x(t) = 3sin(20πt)
dx/dt = 60πcos(20πt)
where dx/dt = velocity V
V = 60πcos(20π * 0.1)
V = 187.4 m/s
(d) At the time found in part (b), what is the object's acceleration?
to get the acceleration, differentiate equation V = 60πcos(20πt)
dv/dt = -1200πSin(20πt)
dv/dt = acceleration a
a = -1200πSin(20πt)
substitute t into the equation
a = -1200πSin(20π * 0.1)
a = - 412.6 m/s^2
The type of motion the object undergoes that consist of a back-and-forth
movement that is repetitive is a simple harmonic motion.
The correct responses are;
(a) Number of complete back-and-forth motions per second is 10(b) The first time is after 0.025 seconds(c) Velocity is 0(d) Acceleration is approximately -11843.53 m/s²Reasons:
The equation that represents the motion of the object is x(t) = 3·sin(20·π·t)
Where;
t ≥ 0
x(t) is in cm, and t is in seconds.
(a) The general sine function is y = A·sin(B·(t - C) + D
[tex]\mathrm{The \ period \ P} = \dfrac{2 \cdot \pi}{B}[/tex]
By comparison, we have;
B = 20·π
Therefore;
[tex]P = \dfrac{2 \cdot \pi}{20 \cdot \pi} = \dfrac{1}{10} = 0.1[/tex]
The period, which is the time to complete one cycle = 0.1 seconds
The number of cycle completed per second, is the frequency, f
[tex]f = \dfrac{1}{P} = \dfrac{1}{0.1} = 10[/tex]
f = 10 Hz = 10 cycles
The number of cycle completed per second is f = 10 cycles
(b) When the object is at the farthest right, we have;
sin(20·π·t) = Maximum = 1
[tex]\mathbf{sin\left(\dfrac{\pi}{2}\right)} = 1[/tex]
Therefore,
[tex]20 \cdot \pi \cdot t = \dfrac{\pi}{2}[/tex]
[tex]t = \dfrac{\pi}{20 \cdot \pi \cdot 2} = \dfrac{1}{40} = 0.025[/tex]
The first time it is at the farthest right is t = 0.025 seconds after start
(c) [tex]\mathrm{Velocity, \ v, \ is \ given \ by \ v = \dfrac{dx(t)}{dt}}[/tex]
Therefore;
[tex]v = \dfrac{dx(t)}{dt} = \dfrac{dx(t)}{dt} \left(3 \cdot sin \left(20 \cdot \pi \cdot t \right) = 60\cdot \pi \cdot cos \left(20 \cdot \pi \cdot t \right)[/tex]
At t = 0.25 seconds, we have;
[tex]v = \dfrac{dx(t)}{dt} = 60\cdot \pi \cdot cos \left(20 \times \pi \times 0.025 \right) = 0[/tex]
The velocity of the object at the t = 0.025 seconds is v(t) = 0
(d) Acceleration, a, is given by [tex]a = \dfrac{dv(t)}{dt}[/tex]
Therefore;
[tex]a = \dfrac{dv(t)}{dt} = \dfrac{d}{dt} \left( 60\cdot \pi \cdot cos \left(20 \times \pi \times t\right) \right) =-1200 \cdot \pi ^2 \cdot sin(20 \cdot t \cdot \pi)[/tex]
a = -1200·π²·sin(20·t·π)
∴ a = -1200×π²×sin(20×0.025×π)
sin(20×0.025×π) = 1
∴ a = -1200×π²×1 ≈ -11843.53
At the time found in part b the acceleration of the object, a ≈ -11843.53 m/s²
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What happens to the change in the value of the speed as you increased the amount of force applied on your
chosen Item
If you increased the amount of force applied on your chosen Item, rate of increase of its velocity with time will increase.
What is force?An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.
The definition of force in physics is: the push or pull on a mass-containing item changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
So, if you increased the amount of force applied on your chosen Item, its acceleration will be increased and rate of increase of velocity with time will increase.
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If a hypothesis is.......
additional tests should be done to ensure accurate results.
a. correct
b.incorrect
c. unknown
d. inconclusive
Answer:
a correct
Explanation:
a hypothesis is a supposition made of a basis of limited evidence
PLEASE HURRY!
Zach listed the process of how laser beams are produced with crystals.
A flashlamp pumps energy through the crystal.
Atoms in the crystal absorb and then release some of the energy as light.
Light bounces off mirrors and occasionally bounces off crystal atoms, increasing in energy.
Some light escapes the tube through the highly reflective mirror, forming a concentrated beam.
Which best describes Zach’s error?
The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal.
The atoms in the crystal do not release energy; they only absorb energy.
Light does not bounce off mirrors; it focuses through glass lenses.
Light escapes through the partially reflective mirror, not the highly reflective mirror.
The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal best describes Zach’s error.
What is a laser?A device that uses stimulated emission of photons from excited atoms or molecules to produce a strong beam of coherent monochromatic light is a laser.
When electrons in optical materials like glass, crystal, or gas absorb energy from an electrical current or light, a laser is formed.
The increased energy excites the electrons, causing them to migrate from a lower-energy orbit around the nucleus to a higher-energy orbit.
The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal. This statement is incorrect.
Hence Option A best describes Zach’s error.
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Answer:
D. Light escapes through the partially reflective mirror, not the highly reflective mirror.
Explanation:
edge 2022, I took the test.
In space, rockets move by shooting air backwards. What moves faster the air or the ship?
Answer:
Its being pushed.
Explanation:
There is no air but its being pushed by the flames coming from the rocket.
a ship travels from savannah georgia to lisbon spain at a rate of 27.6 miles/hour. if the distance covered is 3982 miles how long did the trip take
Answer:3982/27.6=144.275
Explanation:The trip took 144 hours as 3982/27.6 is about 144.
Write a multiple-choice question that requires the reader to understand that velocity and acceleration can have opposite signs.
Answer:
Please find the answers in the below explanation
Explanation:
Example of a multiple-choice question that requires the reader to understand that velocity and acceleration can have opposite signs is;
to consider a body that is moving with a speed of 20m/s and coming to rest by decelerating at about 4m/s^2
in this scenario,
The acceleration will be negative. That is, -4m/s^2
The final velocity V will be equal to zero. that is, V = 0
And the initial velocity U will be positive, That is, U = 20m/s
In the example above, you will notice that the initial velocity and the acceleration are of the opposite sign.
What is the correct answer?
Answer:
biking / jogging/ running, walking
Explanation:
Cardio workouts can strengthen your heart and blood vessel
A student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω. How much current flows through the circuit?
Answer:
0.3
Explanation:
V = I R
1.5= I (50)
I = 1.5/50
I = 0.3 J
If a student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω, then the current flows through the circuit would be 0.12 Amperes.
What is resistance?Resistance is the obstruction of electrons in an electrically conducting material.
The mathematical relation for resistance can be understood with the help of the empirical relation provided by Ohm's law.
V = IR
As given in the problem If a student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω.
V = IR
6 = 50 × I
I = 0.12 ampere
Thus, the current flowing through the circuit would be 0.12 ampere.
link given below ;
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. A person 200 m from a store walks directly away from the
store at a constant velocity of 2.5 m/s for 65 s. How far is
the person from the store now?
Answer:
362.5 m away
Explanation:
Given a constant velocity of 2.5m/s, a time of 65s, and the initial displacement 200m or initial position. Displacement is basically the difference between the objects position regarding time.
The final displacement is found by: s = 1/2(v+v1)t + s1. Since the velocity is constant, the final velocity will be the same as the initial. S = 1/2(2.5m/s+2.5m/s)65 + 200 m = 2.5m × 65 m + 200m = 162.5m + 200m = 362.5m
A writer on the Internet says he thinks people can stay healthy by eating
nothing but potatoes. How can you know whether this is truly possible?
Answer:
The answer is C
Explanation:
because humans have certain nutritional needs and you have to figure out if potatoes meet those needs
A car traveling east in a straight line on a highway decreases its speed from 30. meters per second to 23. meters per second in 2.0 seconds. What is the magnitude of the car's average acceleration to the nearest tenths place, during this time interval?
Answer:
-3.5m/s²
Explanation:
Given
Initial Velocity, u = 30m/s
Final Velocity, v = 23m/s
Time, t = 2.0s
Required
Determine the magnitude of acceleration
This is calculated using first equation of motion.
v = u + at
Substitute values for v, u and t
23 = 30 + a * 2.0
23 = 30 + 2.0a
23 - 30 = 2.0a
-7 =2.0a
Solve for a
a = -7 ÷ 2.0
a = -3.5m/s²
At what point is the KINETIC ENERGY at its highest?
Answer:
An object has the MOST kinetic energy when it's movement is the GREATEST.
Explanation:
Clouds in our atmosphere cause us to see the different phases of the moon.
True
False
Answer:
False
Explanation:
:)
Answer:
The answer is false
Explanation:
The clouds have nothing to do with the changes in the phases of the moon but, rather the postioning of the sun and the moon regarding revolution and the spinning of the earth on it axis.
I hope this helps you good luck and have a good day.
Which statement accurately describes a balanced force?
Answer:
a balanced force is when two forces equal each other out and therefor the object is not in motion.
Explanation:
A tree is turned into sawdust is that physical change or chemical change?
Answer:
Physical change
Explanation:
A physical change can be reversible where the original form of the matter can be restored, or irreversible where the original form cannot be restored. Therefore, sawdust is a physical change.
So Can Someone Help Me Please Asap!!!!!!!!!!!!!!!!!!!!!!!
What are the rules for the game badminton??????????
Answer:
The Laws of Badminton
A match consists of the best of 3 games of 21 points.
Every time there is a serve – there is a point scored.
The side winning a rally adds a point to its score.
At 20 all, the side which gains a 2 point lead first, wins that game.
At 29 all, the side scoring the 30th point, wins that game.
in a meter of 3 how many beats are in a measure also this is for music
Answer:
3 i think
Explanation:
hope this helps also Hiiii
Need help asap I am confused and this is making my brain hurt
Answer: The answer is D.
Explanation: Momentum can be defined as mass in motion. All objects have mass so if an object is moving, then it has momentum it has its mass in motion. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.
A rock on the ground weighs 40N. How much force does the ground exert on the rock?
A. 20n
B. 0N
C.40n
Answer:
The correct option is;
C. 40 N
Explanation:
Given that the rock is on the ground, we have;
The weight of the rock, [tex]F_W[/tex] = 40 N ↓
From Newton's third law of motion, we have that action and reaction are equal and opposite,
Therefore, given that the weight of the rock exerts a force of 40 N on the ground, and the rock is stable and stationery on the ground, then the ground is reacting to the weight of the rock with an equal force of 40 N, acting in opposite direction to the weight of the block to balance the weight of the rock and create equilibrium such that the net force acting on the rock is zero
∑F = [tex]F_W + F_R[/tex] = 0
Where;
[tex]F_R[/tex] = The reaction of the ground
We have;
[tex]F_W[/tex] + [tex]F_R[/tex]= 40 + [tex]F_R[/tex] = 0
[tex]F_R[/tex] = 0 - 40 = -40
[tex]F_R[/tex] = -40 N ↓
∴ [tex]F_R[/tex] = 40 N ↑.
Answer:
C, 40N
Explanation:
A 30 kg mass sits on a level surface with a coefficient of friction of .2. What net force is necessary to accelerate it
at 3 m/s2?
Answer:
Explanation:
Idk
You are in an airplane circling an airport at a speed of 600 km/hour on a circular path of radius 3 km. A stewardess accidentally drops a cup , of mass .1 kg, on the floor. She releases it from rest at a perpendicular distance of 1.5 m from the floor. (That is to say, the shortest distance from the cup to a spot on the floor is 1.5 m.)
a) Show that the cup hits the closest point on the floor when it falls to good approximation.
b) What is its speed, relative to the airplane, when it hits the floor? (That is what is the magnitude of the velocity of the cup, measured in the reference frame of the airplane?) Show that it is somewhat higher than it would be if the cup dropped the same distance in an inertial reference frame.
Answer:
a) (0.0004·[tex]\mathbf{\hat i}[/tex] - 1.55·[tex]\mathbf{\hat j}[/tex]) m
b) 0.31 km/h·[tex]\mathbf{\hat i}[/tex] + 0.00008 km/h·[tex]\mathbf{\hat j}[/tex]
Explanation:
The given parameters are;
The circular motion of the airplane = 600 km/hour
The radius of the circular path = 3 km
The time it takes the cup to reach the floor of the airplane is given as follows;
s = u·t + 1/2·g·t²
1.5 = 1/2 × 9.81 × t²
t² = 1.5/(1/2 × 9.81)
t = √(1.5/(1/2 × 9.81)) ≈ 0.553 s
The location of the plane in 0.533 s is 600 km/hour × 0.533 s ≈ 83.83 meters
The angular velocity, ω = v/r = 600 km/hour/3 km = 200°/hour
Therefore, the angle covered in 0.533 s is 0.533 s × 200°/hour ≈ 0.0296°
tan(0.0296)*3000 ≈ 1.55 m vertical
3000 - cos(0.0296)*3000 ≈ 0.0004 m horizontal
The location of the cup relative to the plane will be
0 - (-0.0004·i + 1.55·j) = 0.0004·i - 1.55·j m
b) The speed of the cup relative to the plane when it hits the floor is given by the
The speed of the plane = 600 km/hour × cos(90 - 0.0296)j + 600 km/hour × sin(90 - 0.0296)j = -0.31 km/hour·i + 599.99 km/hour·j
The speed of the cup = 600 km/hour·j
The relative speed = 600 km/hour·j - ( -0.31 km/hour·i + 599.99 km/hour·j) = 0.31 km/hour·i + 0.00008 km/hour·j
The relative speed of the cup to the plane = 0.31 km/h·i + 0.00008 km/h·j
Therefore, given that there will be no relative speed in an inertia frame, the speed of the cup relative to the plane will be higher than when dropped in an inertia frame
18. What do you call a change in state from a liquid to a gas?
Answer:
evaporation
Explanation:
How do you calculate the radius of a planets orbit with mass and time ?
Answer:
By observing the time between transits, we know the orbital period. Kepler's Third law can be used to determine the orbital radius of the planet if the mass of the orbiting star is known (R3=T2−Mstar/Msun, the radius is in AU and the period is in earth years).
Explanation:
hope this helps!
What is the reason for converting units?
Answer:
Unit conversion is very important because the rest of the world other than three countries uses the metric system. So, converting units is important in science because it uses the metric system. The metric system is measurements like cm, m, l, mL, etc...
Explanation:
Units can: Help to show another person the exact amount you have. Assist in solving a mathematical problem, especially in chemistry, where you can follow the units to get to the answer. Show which measurement system the person is using (i.e. metric or standard)
Hope this helps :)
The French high-speed train travels at 300 km/h. How long
(in hours) would it take the train to travel 1500 km at this
speed?
Answer:
given , v = 300 km/hr; distance d = 1500 km; then time t = d/v = 1500/300 = 5 hrs
Explanation:
PLS ANSWER ASAP!!
A player punts a football at an angle of 30 degrees with an initial velocity of 20.0
m/s. What is the max range of the ball horizontally?
O 34.0 m
O24.0 m
8.30 m
0 20.0 m
Answer:
The closest choice to the answer is 34.0 m
Explanation:
Projectile Motion
It's the type of motion experienced by an object that is launched near the Earth's surface and moves along a curved path exclusively under the action of gravity.
Being vo the initial speed of the object, θ the initial launch angle, and g=9.8m/s^2 the acceleration of gravity, then the Range or maximum horizontal distance traveled by the object is:
[tex]\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}[/tex]
The football is kicked at an angle of 30° with an initial velocity of 20 m/s. Replacing those values:
[tex]\displaystyle d={\frac {20^{2}\sin(2\cdot 30^\circ)}{9.8}}[/tex]
[tex]\displaystyle d={\frac {400\sin(60^\circ)}{9.8}}=35.35\ m[/tex]
The closest choice to the answer is 34.0 m
What is the mass of 5 m3 of cement of 3000 kg/m-3
Answer:
It is 15000 Kgs.
what is centripetal motion
Answer:
abhi ham logo KO madam ne Padaya nahi hai
What is the method of charging called?
