Answer:
a)V=7 m/s
b)a=3t²-3x² t³ +3 x ⁵
Explanation:
Given that
[tex]\dfrac{dx}{dt}=t^3-x^3[/tex]
a)
We know that velocity V is given as follows
[tex]V=\dfrac{dx}{dt}[/tex]
[tex]V=t^3-x^3[/tex]
At t= 2 s and x= 1 m
[tex]V=2^3-1^3=7 m/s[/tex]
V=7 m/s
b)
Acceleration a is given as follows
[tex]a=\dfrac{dV}{dt}[/tex]
[tex]a=3t^2-3x^2\dfrac{dx}{dt}[/tex]
Now by putting the values
[tex]a=3t^2-3x^2\times (t^3-x^3)[/tex]
a=3t²-3x² t³ +3 x ⁵
Therefore the acceleration of a particle will be 3t²-3x² t³ +3 x ⁵.
The answers to the fill in the blank plz
Answer:
not too sure but i think it is : force - multiplied by -mass
Sort the tiles into the appropriate categories.
releases a lot of energy
Nuclear Fission
Both
Nuclear Fusion
produces a heavier atom
combines two atoms
produces two lighter atoms
splits the nucleus
Done
1. (NF)- splits the nucleus
2 lighter atoms
(BOTH)- releases lots of energy
2.(NF)- produces a heavy atom
combines 2 atoms
i’ve been up for 20 hours my dritydrops
In Excel, you can sort a table by one or more columns by.
Answer:
fthfj
Explanation:
g science is strictly limited to the study of natural phenomena (things that result as the outcome of natural laws like the speed of light. What is an example of a question that scientific studies cannot address? Question 3 options: 1) What is the purpose of life? 2) Where did an important battle take place? 3) What is the mean flight speed velocity of a sparrow? 4) How much energy is stored in a particular kind of covalent
Answer:
1) What is the purpose of life
Explanation:
This is an age long question that arises out of human curiosity about the beginning, existence and subsequently what happens to life after its gone. There exist no natural laws or methods currently that addresses this question.
Photons of light scatter off molecules, and the distance you can see through a gas is proportional to the mean free path of photons through the gas. Photons are not gas molecules, so the mean free path of a photon is not equal to that of a molecule, but its dependence on the number density of the gas and on molecular radius is the same. Suppose you are in a smoggy city and can barely see buildings 500 m away.
(a) How far would you be able to see if all the molecules around you suddenly doubled in volume?
(b) How far would you be able to see if the temperature suddenly rose from 20◦C to a blazing hot 1500◦C with the pressure unchanged?
Answer:
a) 315 m
b) 3025.6 m
Explanation:
The picture attached shows the full explanation for the problem.
g What is a dielectric material? What is a dielectric material? A dielectric material is a material whose relative dielectric constant is not equal 1 A dielectric material is a material which conducts an electric current, assuming normal operating voltages A dielectric material is a material which does not interact with electric field in any way, assuming normal operating voltages A dielectric material is a material through which virtually no current flows, assuming normal operating voltages SubmitRequest Answer Part B Which materials below are dielectric materials
Answer:A dielectric material is a material through which virtually no current flows, assuming normally operating voltage
Explanation:
Dielectric materials are ,which means that no current will flow through them, when a voltage is applied
Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 13 rpm.
a. Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared.
b. Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.
Answer:
a)106.48 x 10⁵ kg.m²
b)144.97 x 10⁵ kgm² s⁻¹
Explanation:
a)Given
m = 5500 kg
l = 44 m
Moment of inertia of one blade
[tex]I[/tex]= 1/3 x m l²
where m is mass of the blade
l is length of each blade.
Putting all the required values, moment of inertia of one blade will be
[tex]I[/tex]= 1/3 x 5500 x 44²
[tex]I[/tex]= 35.49 x 10⁵ kg.m²
Moment of inertia of 3 blades
[tex]I[/tex]= 3 x 35.49 x 10⁵ kg.m²
[tex]I[/tex]= 106.48 x 10⁵ kg.m²
b) Angular momentum 'L' is given by
L =[tex]I[/tex] x ω
where,
[tex]I[/tex]= moment of inertia of turbine i.e 106.48 x 10⁵ kg.m²
ω=angular velocity =2π f
f is frequency of rotation of blade i.e 13 rpm
f = 13 rpm=>= 13 / 60 revolution per second
ω = 2π f => 2π x 13 / 60 rad / s
L=[tex]I[/tex] x ω =>106.48 x 10⁵ x 2π x 13 / 60
= 144.97 x 10⁵ kgm² s⁻¹
c. is what percent of 125?
Answer:
Step 1: We make the assumption that 125 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=125$.
Step 4: In the same vein, $x\%=125$.
Step 5: This gives us a pair of simple equations:
$100\%=125(1)$.
Explanation:
1) Calculate the equivalent resistance of 2 resistors wired in parallel. The value of the resistors are
4 ohms and 8 ohms.
Explanation:
[tex]r = \: ( { \frac{4 \times 8}{4 + 8} } \\ r= \: ohm[/tex]2.67
Answer:2 2/3 ohms
Explanation:
equivalent resistance=R
r1=4 ohms
r2=8 ohms
For parallel connection
1/R=1/(r1) + 1/(r2)
1/R=1/4 + 1/8
1/R=(2x1+1x1)/8
1/R=(2+1)/8
1/R=3/8
Cross multiply
1x8=3xR
8=3R
Divide both sides by 3
8/3=3R/3
8/3=R
R=8/3 or 2 2/3 ohms
Two pulleys, one with a radius 2R and one with a radius of R, are welded together and can rotate about the same axis. A block is suspended from a string that is wrapped around the small disk and unwinds without slipping as the block descends a distance H and reaches a certain final speed. If the string with the block at the other end were wrapped around the larger disk, how would the final speed of the block change?
Answer:
speed will double
Explanation:
Tangential velocity is given by
v=wr
where r is radius and w is rotational velocity. When r is increased to 2R, keeping roational velocity constant, the tangential velocity doubles. Hence unwinding will take place at a twice the rate and the final velocity will be double
A disk with a rotational inertia of 2.5 kg-m2 and a radius 1.1 m rotates on a frictionless fixed axis perpendicular to the disk faces and through its center. A force of 7.7 N is applied tangentially to the rim. The angular acceleration of the disk is _____ rad/s2. Round your answer to the nearest tenth.
Answer:
3.4 rad/sec^2
Explanation:
rotational inertia = 2.5 kg-m^2 radius = 1.1 m force = 7.7 N
t = rotational inertia * angular acceleration equation 1
also t = force * radius
therefore to calculate angular acceleration equation 1 becomes
f * r = inertia * angular acceleration hence
angular acceleration = f * r / inertia = [tex]\frac{7.7 * 1.1 }{2.5}[/tex] 8.47 / 2.5 = 3.388 ≈ 3.4 rad/sec^2
Serena Williams consistently serves a tennis ball with a top speed of 128 mph. The ball is accelerated essentially from rest (assume v0 = 0 mph) to top speed while it is in contact with the racket for 5 milliseconds. LaTeX: a=\frac{\left(vf-vo\right)}{t}a = ( v f − v o ) t Where a is the acceleration, vf is the final (top) velocity, v0 is the initial velocity, and t is time. If the mass of the average tennis ball is 5.85 g, what force must Serena exert on the ball during that time to achieve the required acceleration, in units of Newtons?
Answer:
66.94N
Explanation:
To find the force you use the second Newton law, which is given by:
[tex]F=ma[/tex] (1)
m: mass of the ball 5.85g
the acceleration is:
[tex]a=\frac{v_f-v_o}{t}[/tex]
vf: final velocity = 128mph = 57.21m/s
vo : initial velocity = 0m/s
t: time = 5ms =5*10^{-3}s
by computing the acceleration and replacing it in the equation (1) you obtain:
[tex]a=\frac{57.21m/s}{5*10^{-3}s}=11443.2\frac{m}{s^2}\\\\F=(5.85*10^{-3}kg)(11443.20m/s^2)=66.94N[/tex]
hence, the force applied by Serena on the ball is 66.94N
a washing machine uses 750 watts of power and costs $0.15 per kilowatt-hour. How much does it cost to run a washing machine for two hours? Round your answer to the nearest cent.
Answer:$0.1125
Explanation:
power=750 watts
Power=750/1000=0.75 kilowatts
$0.15 for 1 kilowatts-hour
$h for 0.75 kilowatts-hour
$h=(0.75 x 0.15)
$h=$0.1125
Answer: 0.23
Explanation:
this is the correct answer on edg
A tennis player serves a tennis ball such that it is moving horizontally when it leaves the racquet. When the ball travels a horizontal distance of 13 m, it has dropped 56 cm from its original height when it left the racquet. What was the initial speed, in m/s, of the tennis ball
Answer:
The initial velocity is 38.46 m/s.
Explanation:
The horizontal distance travel by the tennis ball = 13 m
The height at which the tennis ball dropped = 56 cm
Now calculate the initial speed of tennis ball.
The vertical velocity is zero.
Below is the calculation. Here, first convert centimetre into kilometre. So, height at which ball dropped is 0.56 km.
[tex]v = \sqrt{2 \times 9.8 \times 0.56} = 3.32 m/s \\[/tex]
[tex]t = \frac{3.32}{9.8} = 0.338s \\[/tex]
[tex]Ux \times t = 13 \\[/tex]
[tex]Ux = \frac{13}{0.338} = 38.46 m/s = Initial velocity.[/tex]
(10 points) A spring with a 7-kg mass and a damping constant 12 can be held stretched 1 meters beyond its natural length by a force of 4 newtons. Suppose the spring is stretched 2 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c2−4mk? m2kg2/sec2 Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c1eαt+c2eβt where α= (the larger of the two) β=
Answer:
......................
The uniform slender bar of mass m and length l is released from rest in the vertical position and pivots on its square end about the corner at O. (a) If the bar is observed to slip when 30 , find the coefficient of static friction s between the bar and the corner. (b)If the end of the bar is notched so that it cannot slip, find the angle at which contact between the bar and the corner ceases.
Answer:
A) 0.188
B) 53.1 ⁰
Explanation:
taking moment about 0
∑ Mo = Lo∝
mg 1/2 sin∅ = 1/3 m L^2∝
note ∝ = w[tex]\frac{dw}{d}[/tex]∅
forces acting along t-direction ( ASSUMED t direction)
∑ Ft = Ma(t) = mr∝
mg sin ∅ - F = m* 1/2 * 3g/2l sin∅
therefore F = mg/4 sin∅
forces acting along n - direction ( ASSUMED n direction)
∑ Fn = ma(n) = mr([tex]w^{2}[/tex])
= mg cos∅ - N = m*1/2*3g/1 ( 1 - cos∅ )
hence N = mg/2 ( 5cos∅ -3 )
A ) Angle given = 30⁰c find coefficient of static friction
∪ = F/N
= [tex]\frac{\frac{mg}{4}sin30 }{\frac{mg}{2}(5cos30 -3) }[/tex] = 0.188
B) when there is no slip
N = O
= 5 cos ∅ -3 =0
therefore cos ∅ = 3/5 hence ∅ = 53.1⁰
Yellow light with wavelength 600 nm is travelling to the left (in the negative x direction) in vacuum. The light is polarized along the z direction. (a) Draw a neat snapshot mode labeled vector picture of the wave. (b) Draw a neat movie mode labeled vector picture of the wave. (c) If the wave were to represent blue light instead of yellow light, how would your pictures in parts a and b change? If there is no change, say so explicitly.
Answer: (a) and (b) => check attached file.
(c). Picture (a) and (b) will both remain the same.
Explanation:
IMPORTANT: The solution to the question (a) and (b) that is (a) Draw a neat snapshot mode labeled vector picture of the wave. (b) Draw a neat movie mode labeled vector picture of the wave is there in the ATTACHED FILE/PICTURE.
It is also worthy of note to know that in anything Electromagnetic wave, the magnetic field, the Electric Field and their direction of propagation are perpendicular to each other.
Therefore, knowing the fact above we can say that in yellow light, the magnetic field is in the y-direction and the Electric Field is in the z-direction.
Hence, the solution to option C is given below;
(C).If the wave were to represent blue light instead of yellow light, picture (a) will remain the same because both light are Electromagnetic wave, although the wavelength will have to change. Picture (b) will also remain the same because they are both Electromagnetic waves and possess similar properties.
If 1 inch = 2.54 centimeters, how many inches are there in 2,540 centimeters?
A. 100 inches
B. 10 inches
C. 1,000 inches
D. 0.10 inches
SUBMIT
A very light low-friction cyclindrical turntable is mounted on a study base. Although it is balanced, its density may not be uniform. Design an experimental method to gather data that can be used to determine the rotational inertia of the turntable. In each part, provide the explanations and/or diagrams necessary to support your response.
First, list all the equipment you will use and describe what measurements you will take and how you will take them, in enough detail so that another student could carry out your experiment. Use diagrams to clarify your experimental setup.
Answer:
Check the explanation
Explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
John runs 1.0 m/s at first, and then accelerates to 1.6 m/s during
the course of 4.5 seconds. What is his average acceleration (in
m/s2
Answer: [tex]0.13m/s^2[/tex]
Explanation:
[tex]Formula: a=\frac{V_2-V_1}{t}[/tex]
Where;
a = acceleration
V2 = final velocity
V1 = initial velocity
t = time
If John runs 1.0 m/s first, we assume this is V1. He accelerates to 1.6 m/s; this is V2.
[tex]a=\frac{1.6m/s-1.0m/s}{4.5s}[/tex]
[tex]a=\frac{0.6m/s}{4.5s}[/tex]
[tex]a=0.13m/s^2[/tex]
Answer:.13
Explanation:
The throwing back by a wall or barrier of a sound wave without absorbing
it. *
1 point
Answer:Reflection
Explanation:
The throwing back of a sound wave without absorbing it is called reflection
In acoustic reflection of sound is termed as echo i.e. sound arrived at the listener after a particular delay depending upon the position of barrier to the observer.
The reflection of sound is used in many devices like megaphone, trumpets, etc. It is also used in auditorium such that the ceiling of the auditorium is curved for multiple reflections of sound so that sound can be reached at every corner of the auditorium.
A solid cylinder of mass m and radius R rolls down a ramp, starting from rest at a height h above a nearby horizontal surface. The coefficients of kinetic and static friction and are non-zero, and sufficiently large that the cylinder rolls down the ramp without slipping. Assume that the coefficient of rolling friction is zero. As the cylinder leaves the ramp, it continues along a horizontal surface (with the same frictional coefficients as the ramp).
Required:
What is the speed V of the cylinder after it has traveled a distance D along the horizontal surface?
Answer:
the volocity is 50
Explanation:
1. A tennis ball is dropped from a second story window. It is in free fall, accelerating downward at a rate of 9.8 m/s2. At the exact same time, another person throws a tennis ball out the adjacent window with a horizontal velocity of 30 m/s. Assuming no air resistance, which ball hits the ground first? Why?
Answer:
Both balls will hit the ground at the same time, because gravity is constant.Explanation:
Notice that both balls are being thrown at the same initial height.
It's important to know that these movements which depends of gravity (a constant acceleratio) they would fall at the same rythm, because the gravity is a constant.
Remember that gravity is an acceleration, which it's defined as the change of the velocity, so if both balls change their vertical velocity at the same rate, then they will fall at the same time, because they have the same initial height.
Additionally, when you throw a ball horizontally, it will bend down due to gravity, and this falling movement is the same as if you throw vertically as a free falling movement.
Therefore, both balls will hit the ground at the same time, because gravity is constant.
How the musculoskeletal and nervous system develop as a human grows
Answer:
Explanation:
A fan pushes hot air out of a vent and into a room. The hot air displaces cold air in the room, causing the cold air to move closer to the floor.
The hot air displacing the cold air is an example of transfer by
How much water is on the earth
71% of the earth is water
Answer:
hope this helps
Explanation:
71% of earth is water
A resistor and a capacitor are connected in series across an ideal battery having a constant voltage across its terminals. Long after contact is made with the battery (a) the voltage across the capacitor is A) equal to the battery's terminal voltage. B) less than the battery's terminal voltage, but greater than zero. C) zero. (b) the voltage across the resistor is A) equal to the battery's terminal voltage. B) less than the battery's terminal voltage, but greater than zero. C) zero.
Answer:
A) equal to the battery's terminal voltage.
Explanation:
When the capacitor is fully charged after long hours of charging , its potential becomes equal to the emf of the battery and its polarity is opposite to that of battery . Hence net emf becomes equal . The capacitor itself becomes a battery which is connected in the circuit with opposite polarity . This results in the net emf and current becoming zero . There is no charging current when the capacitor is fully charged .
During the process of mountain building, earthquakes sometimes occur along continental-continental convergent boundaries. Which statement best describes the motion of the plates along these boundaries that causes the earthquakes?
The plates push apart from each other with no subduction.
Subduction occurs with the less-dense plate sinking below the other plate.
Subduction occurs with the more-dense plate sinking below the other plate.
The plates smash together with no subduction.
Answer:
The correct answer is The plates smash together with no subduction. I just took this on Edge. Glad I could help!
The statement best describes the motion of the plates along these boundaries that causes the earthquakes is that The plates smash together with no subduction
For better understanding let's explain what the answer means
it is said that the meeting point of two tectonic plates will causea convergent plate boundary to be formed. one of the converging plates will move under the other as it is known as subductionFrom the above we can therefore say that the answer The statement best describes the motion of the plates along these boundaries that causes the earthquakes is that The plates smash together with no subduction, is correct
Learn more motion of the plates along these boundaries from:
https://brainly.com/question/23731885
10 points
Which answer choice below represents the Law of Conservation of
mass? *
Which of the following is true about the law of conservation of mass?
A
Matter must first be destroyed in order to be created.
B
The mass of the products is always less than the mass of the
reactants.
C
The mass of the reactants must always equal the mass of the
products.
D
The mass of the products is always greater than the mass of
the reactants.
Answer:
B
Explanation:
I just took the test
Dogs keep themselves cool by panting, rapidly breathing air in and out. Panting results in evaporation from moist tissues of the airway and lungs, which cools the animal. Measurements show that, on a 35∘C day with a relative humidity of 50%, a 12 kg dog loses 1.0 g of water per minute if it is panting vigorously. What rate of heat loss, in watts, does this achieve?
The rate of heat loss, in watts, does this achieve is 37.66 W
Evaporation:It leads in cooling since water absorbs heat equivalent to mass times latent heat of evaporation to get converted into vapor .
So,
latent heat of evaporation of water = 2260 x 10³ J / kg or 2260 J / g
Now
in the evaporation of 1 g of water , heat lost = 2260 J
And,
heat lost per minute = 2260 J
So,
heat lost per second = 2260 / 60
= 37.66 J /s
= 37.66 W
Learn more about heat here: https://brainly.com/question/9636950
The current in the wires of a circuit is 60 milliamps. If the resistance of the circuit were doubled (with no change in voltage), then it’s new current would be _____ milliamps
Answer:30
Explanation:
Current=60 milliamps
Current=(voltage)/(resistance)
60=(voltage)/(resistance)
Doubling the resistance means multiplying both sides by 1/2
60x1/2=(voltage)/(resistance) x 1/2
30=(voltage)/2(resistance)
Therefore the resistance would be 30 milliamp if we double the resistance
