Answer:
4.8.
Explanation
The velocity of a particle moving along the x axis is given for 1> 0 by v: = (32.0t - 2.00t^3) m/s,
where t is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum
displacement in the positive x direction?
The acceleration of the particle when it achieves its maximum displacement in the positive x-direction is 32 m/s²
To calculate the acceleration of the particle, we need to differentiate the expression for the velocity.
Given:
v = 32t-2t³differentiate v with respect to t
dv/dt = a = 32+2(3)t²dv/dt = 32+6t²................... Equation 1When the particle achieves its maximum displacement,
t = 0 sSubstitute these value of t into equation 1
dv/dt = 32+6(0²)dv/dt = 32 m/s²Hence The acceleration of the particle when it achieves its maximum displacement in the positive x-direction is 32 m/s²
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describe how electromagnetic radiation can ionise an atom. 2 marks
Answer:
Ionizing radiation is radiation with enough energy so that during an interaction with an atom, it can remove tightly bound electrons from the orbit of an atom, causing the atom to become charged or ionized. ... Forms of electromagnetic radiation.
(from google)
thank you :)
Ionizing radiation is radiation with enough energy that to remove tightly bound electrons from the orbit of an atom, causing that atom to become charged or ionized.
What is ionizing radiation?The process in which an electron is given enough energy to break away from an atom is called ionization.
This process results in the formation of two charged particles or ions:
The molecule with a net positive chargeThe free electron with a negative charge.Each ionization releases energy that is absorbed by material surrounding the ionized atom.
Ionizing radiation deposits a large amount of energy into a small area. In fact, the energy from one ionization is more than enough energy to disrupt the chemical bond between two carbon atoms.
There are three main kinds of ionizing radiation:
alpha particles, which include two protons and two neutrons
beta particles, which are essentially electrons
Therefore,
According to the definition of ionizing radiation,
Ionizing radiation can remove electrons from the atoms, i.e. It can ionize atoms.
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Matt plays badminton. He serves the birdie with a velocity of 4.25 m/s [right] covering a displacement of 5.2 m [forward]. How much time does this birdie’s trip take? show your work below
Answer:
Time taken by birdie’s trip = 1.2235 s (Approx)
Explanation:
Given:
Velocity = 4.25 m/s
Displacement = 5.2 m
Find:
Time taken by birdie’s trip = ?
Computation:
⇒ Time taken = Displacement / Velocity
⇒ Time taken by birdie’s trip = Displacement / Velocity
⇒ Time taken by birdie’s trip = 5.2 m / 4.25 m/s
⇒ Time taken by birdie’s trip = 1.2235 s (Approx)
circular motion is 2d or 3d? Reason.
Answer:
circular motion is 2D
Explanation:
The circle is a two-dimensional (2D) shape. It only has two measurements, such as length and height, and is usually called a 'flat' shape. The ball, however, is a three-dimensional (3D) shape because it has three measurements (length, height, and width) and is sometimes called a 'solid' shape.
hope this helped
A periodic transverse wave that has a frequency of 10 Hz travels along a string. The distance between a crest and either adjacent trough is 2.5 m. What is the wavelength?
Answer:
5m
Explanation:
The wavelength of a wave is the distance between successive trough or crest ;
Meaning that distance between successive trough is distance between trough and crest plus distance between crest and trough
Which is 2 times distance between trough and crest;
2×2.5= 5m
find the value of currents through each branch
Answer:
the branch currents are as follows:
top left: I2 = 0.625 A
middle left: I1 = 2.500 A
bottom left: I1-I2 = 1.875 A
top center: I2+I3 = 2.500 A
bottom center: I2+I3-I1 = 0 A
right: I3 = 1.875 A
Explanation:
You can write the KVL equations:
Top left loop:
I2(4) +(I2 +I3)(2) +I1(1) = 10
Bottom left loop:
(I1-I2)(4) +(I1-I2-I3)(2) +I1(1) = 10
Right loop:
(I2+I3)(2) +(I2+I3-I1)(2) = 5
In matrix form, the equations are ...
[tex]\left[\begin{array}{ccc}1&6&2\\7&-6&-2\\-2&4&4\end{array}\right]\cdot\left[\begin{array}{c}I_1\\I_2\\I_3\end{array}\right] =\left[\begin{array}{c}10\\10\\5\end{array}\right][/tex]
These equations have the solution ...
[tex]\left[\begin{array}{c}I_1\\I_2\\I_3\end{array}\right] =\left[\begin{array}{c}2.500\\0.625\\1.875\end{array}\right][/tex]
This means the branch currents are as follows:
top left: I2 = 0.625 A
middle left: I1 = 2.500 A
bottom left: I1-I2 = 1.875 A
top center: I2+I3 = 2.500 A
bottom center: I2+I3-I1 = 0 A
right: I3 = 1.875 A
_____
This can be worked almost in your head by using the superposition theorem. When the 5V source is shorted, the 10V source is supplying (I1) to a circuit that is the 4 Ω and 2 Ω resistors in parallel with their counterparts, and that 2+1 Ω combination in series with 1 Ω for a total of a 4Ω load on the 10 V source. That is, I1 due to the 10V source is 2.5 A, and it is nominally split in half through the upper and lower branches of the circuit. There is no current flowing through the (shorted) 5 V source branch.
When the 10V source is shorted, the 5V source is supplying a 4 +4 Ω branch in parallel with a 2 +2 Ω branch, a total load of 8/3 Ω. This makes the current from that source (I3) be 5/(8/3) = 15/8 = 1.875 A. There is zero current from this source through the 1 Ω resistor.
Nominally, the current from the 5V source splits 2/3 through the 2 Ω branch and 1/3 through the 4 Ω branch.
Using superposition, I2 = I1/2 -I3/3 = (2.5 A/2) -(1/3)(15/8 A) = 0.625 A. This is the same answer as above, without any matrix math.
(I1, I2, I3) = (2.5 A, 0.625 A, 1.875 A)
__
It helps to be familiar with the formulas for resistors in series and parallel.
ANSWER=
If a group of workers can apply a force of 1,000 Newtons to move a crate
20 meters, what amount of work will they have accomplished?
Answer:
W= 20000j
Explanation:
W= fd = 1000N(20m) = 20000j
Por una espira de 0.5 m2 de área circula una corriente de 5 A. Calcula la densi- dad de flujo magnético B considerando que la espira considera la permeabilidad del medio es la del aire
Answer:
[tex]\beta=B=8.05\mu T[/tex]
Explanation:
The density of the magnetic flux is given by the following formula:
[tex]\beta=\frac{\Phi_B}{A}=\frac{ABcos\theta}{A}=Bcos\theta[/tex]
The normal vector A and the vector of the magnitude of the magnetic field are perpendicular, then, the angle is zero:
The magnitude of the magnetic field is calculated by using the formula for B at a distance of x to a point in the plane of the loop:
[tex]B=\frac{\mu_oIR^2}{2(x^2+R^2)^{3/2}}[/tex]
For x = 0 you have:
[tex]B=\frac{\mu_oIR^2}{2R^3}=\frac{\mu_oI}{2R}[/tex]
R is the radius of the circular loop and its values is:
[tex]R=\sqrt{\frac{A}{\pi}}=\sqrt{\frac{0.5m^2}{\pi}}=0.39m[/tex]
Then, you replace in the equation for B with mu_o = 4\pi*10^-7 T/A:
[tex]B=\frac{(4\pi*10^{-7}T/A)(5A)}{2(0.39m)}=8.05*10^{-6}T=8.05\mu T[/tex]
and the density of the magnetic flux is
[tex]\beta=B=8.05\mu T[/tex]
explain how conduction, convention and radiation all transfer heat when cooking in a pan of water.
Answer:
hope this helps love! There are three methods of heat transfer: conduction, convection, and radiation. Cooking of food usually uses a combination of these methods. Conduction transfers the heat using direct contact; food is heated directly in a metal pan, in a liquid, or surrounded by air. ... The heat from the water is transferred to the egg.
Explanation:
When the water is heated, thermal expansion happens so the particles move farther apart and then the hot water moves up because it is less dense then the colder water. ... Convection is happening because when air is heated by the fire, the air becomes less dense and moves up because denser things sink.
The differences between microwaves and infrared radiation are due to differences in their _____.
A 25 V battery is connected into a circuit with two resistors in series. One resistor has resistance 5.0 Ω and the other has resistance 7.5 Ω. What is the voltage drop across the 7.5 Ω resistor?
Answer:
15 V
Explanation:
From the question,
For series connection: (i) Both resistor have a common current flowing through the (ii) The combined resistance = R1+R2
Rt = R1+R2.................. Equation 1
Given: R1 = 5 ohms, R2 = 7.5 ohms.
Rt = 5+7.5 = 12.5 ohms.
Applying Ohm's law,
V = IRt................... Equation 2
Where V = Voltage, I = current.
make I The subject of the equation
I = V/Rt.............. Equation 3
Given: V = 25 V, Rt = 12.5 ohms.
Substitute into equation 3
I = 25/12.5
I = 2 A.
Now,
Voltage drop across the 7.5 ohms resistor = R2×I
Voltage drop across the 7.5 ohms resistor = 7.5×2
Voltage drop across the 7.5 ohms resistor = 15 V
A spring extends by .16 meters when pulled with 20 N of Force. What is the Potential Energy in the spring at this extension?
What is the work done to extend the spring. 16 meters?
Answer:
Potential energy = 1.6 J
Work done = -1.6 J
Explanation:
Potential Energy in the spring at this extension?
The potential energy U in the spring is U = 1/2kx² where k = spring constant = F/x where F = force = 20 N and x = extension = 0.16 m. So k = 20 N/0.16 m = 125 N/m
U = 1/2kx²
= 1/2 × 125 N/m × (0.16 m)²
= 1.6 J
What is the work done to extend the spring. 16 meters
Work done W = U₁ - U₂ where U₁ = initial potential energy = 0 and U₂ = final potential energy = 1.6 J
W = 0 - 1.6 J
= -1.6 J
A large container of water is sitting on a balance. The weight of the container plus the water is 10 newtons. An object the weight of 7 newtons hanging from a forcemeter is lowered towards the surface of the water . what reading on the force meter would you expect?
Answer:
3N
Explanation:
Note that when an object is immersed in water it weighs less.
This means the weight seen is the apparent weight.
Now in water there is upthrust and is a counter force acting on the object and this force is opposite to the weight of the fluid alongside the container 10N
The apparent weight is the real weight - the upthrust
7N-10 = -3N
The essence of the negative sign is to show that this force is acting in opposite direction to the weight.
Note: the upthrust is 10N and it's opposite to the weight of the fluid and the tube on which the object on the force meter is subjected to.
A complete electric circuit includes a voltage source, current, wires, and something to _________ the flow of current.
Answer:
If you ground the flow of current like the last part of your question states you will not have a complete circuit as the circuit will open on a short circuit. To make a complete circuit operate you need a power source, an overload device to protect the conductors of the circuit, conductors to carry the current and a load across the power source which causes the current to flow in the circuit.
Explanation:
Leave any one of these things out and you will not have a complete circuit.
A complete electric circuit includes a voltage source, current, wires, and load to flow the current.
What is load in an electric circuit?An electrical load can be described as an electrical component of a circuit that consumes electrical power such as electrical appliances, bulbs, and lights. The electrical load may also refer to the power consumed by a circuit. An electrical load is opposed to a power source, such as a battery, which produces power.
If an electric circuit contains an output port, a pair of terminals that generates an electrical signal, the circuit connected to this terminal is the load. Load influences the performance of circuits according to the output voltages or currents, such as voltage sources, and amplifiers.
Mains power outlets supply power at constant voltage, with electrical appliances connected to the power circuit making up the load. When a high-power device switches on, it drastically reduces the load impedance.
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A solenoid is 2.50 cm in diameter and 30.0 cm long. It has 300 turns and carries 12 A. (a) Calculate the magnetic field inside the solenoid. (b) Calculate the magnetic flux through the surface of a circle of radius 1.00 cm, which is positioned perpendicular to and centered on the axis of the solenoid. (c) The perimeter of this circle is made of conducting material. The current in the solenoid uniformly goes from 12 A to 10 A in 0.001 seconds. What e.M.F. Is generated in the conducting material? (d) Now, inside the solenoid we put a bar of steel, a ferromagnetic material. Steel has got a magnetic permeability μm = 4000μ0 . If the current in the solenoid is 12 A, what's the total magnetic field in the steel bar?
Answer:
a) B = 0.0151 T
b) [tex] \theta = 4.737 * 10^-^6 Tm^2 [/tex]
c) [tex] E = 7.896*10^-^4 [/tex]
d) [tex] = 60.4 T [/tex]
Explanation:
Given:
Diameter, d = 2.5 cm convert to meters = 0.025 m
Length, L = 30.0 cm convert to meters = 0.3 m
Number of turns, N = 300
Current, I = 12 A
a) Let's use the formula below to find the magnetic field.
[tex] B = \frac{u_0 N I}{L} [/tex]
[tex] B = \frac{4\pi * 10^-^7 * 300 * 12}{0.3} [/tex]
[tex] B = \frac{0.004524}{0.3} [/tex]
B = 0.0151 T
b) Given a radius, r = 1.00 cm, let's convert it to meters = 0.01 m
Let's use the formula below to find magnetic flux.
[tex] \theta = BA [/tex]
where [tex] A = \pi r^2 [/tex]
Therefore,
[tex] \theta = B \pi r^2 [/tex]
[tex] = 0.0151 \pi * (0.01)^2 [/tex]
[tex] \theta = 4.737 * 10^-^6 Tm^2 [/tex]
c) Given that the current in the solenoid uniformly goes from 12 A to 10 A in 0.001 seconds, the EMF generated will be:
[tex]E = \frac{- change in \theta}{change in t} = \frac{-u_0 N}{L} * \pi r^2 * \frac{change in I}{change in t}[/tex]
[tex] E = \frac{-4\pi * 10^-^7 * 300}{0.3} * \pi *(0.01)^2 * \frac{10 - 12}{0.001} [/tex]
[tex] -0.00125663 * \pi *(0.01)^2 * -2000[/tex]
[tex] E = 7.896*10^-^4 [/tex]
d) Let's use the formula:
[tex] \frac{u_m N I}{L} = 4000 \frac{u_0 NI}{L} [/tex]
[tex] 4000 * 0.0151 [/tex]
[tex] = 60.4 T [/tex]
The law of conservation of energy states
an object is moving in a straight line with constant acceleration a)its acceleration start increasing at some rate than b)
velocity will start decreasing c) its velocity will keep on increasing d)its velocity will remain constant or objective is suddenly come to a stop
Answer:
C
Explanation:
Velocity = velocity (initial) + acceleration*time.
More time - higher velocity.
Find the prime factorization of 168.
Answer:
2 x 2 x 2 x 3 x 7 = 168
Explanation:
Prime factors of 168: 2, 3 and 7
These are the factors of 168: 1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168. Only 2, 3 and 7 are prime numbers meaning that they are only divisible by themselves and 1. Therefore they are the prime factors.
Answer:
Prime factors of 168: 2, 3 and 7
1. A drop of oil of volume 10-10 m spreads out on water to
make a circular film of radius 10 m. what is the thickness
of the film?
Answer:
318.3 nm
Explanation:
We approximate the circular film as a cylinder of height h and radius, r. Its volume V = πr²h. Since this volume equals the volume of the oil drop, the height of the circular film is thus h = V/πr²
V = 10⁻¹⁰ m³ and r = 10 m
Substituting into h, we have
h = 10⁻¹⁰ m³/π(10)²
= 0.3183 × 10⁻¹² m
= 3183 × 10⁻⁹ m
= 318.3 nm
An 80 kg skateboarder moving at 3 m/s pushes off with her back foot to move faster. If her velocity increases to 5 m/s, what is her change in kinetic energy as a result? J How much work did she perform? J
Answer:
640 J
Explanation:
ΔKE = KE − KE₀
ΔKE = ½ mv² − ½ mv₀²
ΔKE = ½ m (v² − v₀²)
ΔKE = ½ (80 kg) ((5 m/s)² − (3 m/s)²)
ΔKE = 640 J
Her kinetic energy increases by 640 J, so she does 640 J of work.
It's 640 for both answers. :)
A car travels 20 km South, then turns and travels 30 km East? What is the total displacement?
Answer:
Explanation:36.05 km
Given
First car travels [tex]r_1=20\ km[/tex] South
then turns and travels [tex]r_2=30\ km[/tex] east
Suppose south as negative y axis and east as positive x axis
So, [tex]r_1=-20\hat{j}[/tex]
[tex]r_2=30\hat{i}[/tex]
Displacement is the shortest between initial and final point
Dispalcement[tex]=r=r_1+r_2[/tex]
Displacement[tex]=-20\hat{j}+30\hat{i}[/tex]
Displacement[tex]=30\hat{i}-20\hat{j}[/tex]
Magnitude [tex]=\sqrt{30^2+(-20)^2}[/tex]
Magnitude[tex]=36.05\ km[/tex]
a bike travels 4 miles in half an hour, what is its speed?
Answer:
8 mph
Explanation:
4 miles in half hour so you add 4 more for the second half
You are sitting on a merry-go-round at a distance of 2m from its center. It spins 15 times in 3 min. What distance do you move as you make one revolution? What is your angular speed in RPM? What is your linear speed in meters per SECOND?
Answer:
A) 12.57 m
B) 5 RPM
C) 3.142 m/s
Explanation:
A) Distance covered in 1 Revolution:
The formula that gives the relationship between the arc length or distance covered during circular motion to the angle subtended or the revolutions, is given as follows:
s = rθ
where,
s = distance covered = ?
r = radius of circle = 2 m
θ = Angle = 2π radians (For 1 complete Revolution)
Therefore,
s = (2 m)(2π radians)
s = 12.57 m
B) Angular Speed:
The formula for angular speed is given as:
ω = θ/t
where,
ω = angular speed = ?
θ = angular distance covered = 15 revolutions
t = time taken = 3 min
Therefore,
ω = 15 rev/3 min
ω = 5 RPM
C) Linear Speed:
The formula that gives the the linear speed of an object moving in a circular path is given as:
v = rω
where,
v = linear speed = ?
r = radius = 2 m
ω = Angular Speed in rad/s = (15 rev/min)(2π rad/1 rev)(1 min/60 s) = 1.571 rad/s
Therefore,
v = (2 m)(1.571 rad/s)
v = 3.142 m/s
You are pushing this M = 115-kg box with Fa = 424 Newtons. (Fa = "Your applied force") But it's futile. The box isn't going anywhere. Calculate the frictional force of the floor on the box against you.
Explanation:
We have,
Mass of a box is 115 kg
Applied force is 424 N
It is required to find the frictional force of the floor on the box against you. Frictional force is an opposing force. It opposes the motion of an object. Here the applied force is 424 N. So, the frictional force has a magnitude of 424 N but it acts in opposite direction.
um.. i need help ⚆ _ ⚆
What information can you infer from the Lewis structure diagram shown below?
A. Boron has six valence electrons.
B. Oxygen has six valence electrons.
C. Boron has five valence electrons.
D. Oxygen has five valence electrons.
Answer:
D.Oxygen has five valence electrons
what is frictional force?
Answer:
Frictional force refers to the force generated by two surfaces that contacts and slide against each other.
~Hope this helps~ T^T
ANSWER ASAP!!!If a wave machine produces 10 waves in 2 seconds, what is the frequency of the machine in Hertz?
Answer:
5Hz
Explanation:
Frequency = No. of waves per second
10 waves are produced in 2 seconds
in one second 10/2 waves are produced
(ie) 5 waves are produced in 1 second
Therefore the frequency of wave is 5 Hz
Please help do not guess
50 points
What is the range of time of the Devonian time period?
What is the name of the EON we are in now?
During what period saw the earliest amphibians?
From what time period is the cooksonia fossil from?
How many million years ago saw the extinction of dinosaurs?
What range of time did trilobites exist on earth?
During what time period saw the last advance and retreat of continental ice sheets?
Looking at the inferred position of the continents, what direction did North America move in the last 232 million years>
Judging by your answer to question 9, what has happened to the climate of North America during the last 232 million years? Explain your answer.
Answer:
358.9 (+/- 0.4) million years ago
Holocene Epoch, of the Quaternary Period
Devonian period
66 million years ago (prox)
521 million years ago
110,000 years ago
NW
North america became more cold when it moved NW
Explanation:
The gravitational field strength on Mars is 3.7 N/kg. Kai has a mass of 55 kg. What would Kai weigh on Mars? Give your answer to 1 decimal place.
Kai weight on mars will be 203.5 N.
What is weight?It is the force of gravity on the object.The unit of weight is newton (N).Weight can be find out by multiplying the mass with gravitational field strength.How to solve this question?
Gravitational field strength on Mars = 3.7 N/kg. (Given)
Mass = 55 kg. (Given)
Weight = Mass × Gravitational field strength
Weight = 55 kg × 3.7 N/kg
Weight = 203.5 N
Thus, we can conclude that Weight is the Gravitational force between the object and the planet.
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name the planet which is nearest to sun
Answer:
So, Mercury is the closest planet to the Sun.
Explanation:
An object, with a final position of x = 100.1 meters, initially started at x = -12.13 meters. What was its displacement? (Unit = m)
Answer:
112.23 m
Explanation:
Displacement is the final position minus the initial position.
Δx = x − x₀
Δx = 100.1 m − (-12.13 m)
Δx = 112.23 m