Answer:
vavg = 0.37 m/s
Explanation:
The average speed is just the relationship between the total distance traveled, and the total time required for that travel , as follows:[tex]v_{avg} = \frac{\Delta x}{\Delta t} (1)[/tex]
We know that for the first leg of the journey, the ant crawls at a constant speed of 0.24 m/s, moving 3.0 m.We can find the time required for this part, just applying the definition of average velocity, and solving for the time t (which we will call t₁), as follows:[tex]t_{1} =\frac{x_{1}}{v_{1} } = \frac{3.0m}{0.24m/s} = 12.5 s (2)[/tex]
From the givens, we know that the time for the second part is exactly the half of the value found in (2), so we can write the total time Δt as follows:[tex]\Delta t = t_{1} + \frac{t_{1} }{2} = 12.5 s + 6.25 s = 18.75 s (3)[/tex]
We also know that in the second leg of the journey, the ant traveled 4.0 m, which adds to the 3.0 m of the first part, making a total distance of 7.0 m.Per definition of average speed, we can write the following expression as in (1) replacing Δx and Δt by their values, as follows:[tex]v_{avg} = \frac{\Delta x}{\Delta t} = \frac{7.0m}{18.75m} = 0.37 m/s (4)[/tex]
A 0.35-kg ball attached to a string is rotating in a horizontal circle of radius 0.43 m. Assume the tension force is directed horizontally. If the ball revolves twice every second, what is the tension in the string?
A Christmas light is made to flash via the discharge of a capacitor. The effective duration of the flash is 0.25 s (which you can assume is the time constant of the capacitor), during which it produces an average 55 mW from an average voltage of 3.1 V. 25% Part (a) How much energy, in joules, does it dissipate? E 25% Part (b) How much charge, coulombs, moves through the light? q= 1 25% Part (c) Find the capacitance of the light, in farads. C = 1 25% Part (d) What is the resistance, in ohms, of the light? R= |
Answer:
The correct solution is:
(a) [tex]1.375\times 10^{-2} \ J[/tex]
(b) [tex]4.43\times 10^{-3} \ C[/tex]
(c) [tex]1.42\times 10^{-3} \ F[/tex]
(d) [tex]178.57 \ \Omega[/tex]
Explanation:
The given values are:
Effective duration of the flash,
ζ = 0.25 s
Average power,
[tex]P_{avg}=55 \ mW[/tex]
[tex]=55\times 10^{-3} \ W[/tex]
Average voltage,
[tex]V_{avg}=3.1 \ V[/tex]
Now,
(a)
⇒ [tex]E=P_{avg}\times \zeta[/tex]
On substituting the values, we get
⇒ [tex]=55\times 10^{-3}\times 0.25[/tex]
⇒ [tex]=1.375\times 10^{-2} \ J[/tex]
(b)
⇒ [tex]E=Q\times V_{avg}[/tex]
then,
⇒ [tex]Q=\frac{E}{V_{avg}}[/tex]
On substituting the values, we get
⇒ [tex]=\frac{1.375\times 10^{-2}}{3.1}[/tex]
⇒ [tex]=4.43\times 10^{-3} \ C[/tex]
(c)
⇒ [tex]C=\frac{Q}{V}[/tex]
⇒ [tex]=\frac{4.43\times 10^{-3}}{3.1}[/tex]
⇒ [tex]=1.42\times 10^{-3} \ F[/tex]
(d)
As we know,
⇒ [tex]R=\frac{1}{4C}[/tex]
⇒ [tex]=\frac{1}{4\times 1.42\times 10^{-3}}[/tex]
⇒ [tex]=\frac{1000}{5.6}[/tex]
⇒ [tex]=178.57 \ \Omega[/tex]
A 580-mm long tungsten wire, with a 0.046-mm-diameter circular cross section, is wrapped around in the shape of a coil and used as a filament in an incandescent light bulb. When the light bulb is connected to a battery, a current of 0.526 A is measured through the filament.
Required:
a. How many electrons pass through this filament in 5 seconds?
b. How many electrons pass through this filament in 5 seconds?
c. What is the resistance of this filament? What is the resistance of this filament?
d. What is the voltage of the battery that would produce this current in the filament?
Answer:
a,b) #_ {electron} = 1.64 10¹⁹ electrons, c) R = 19.54 Ω, d) V = 10.3 V
Explanation:
a and b) The current is defined as the number of electrons that pass per unit of time
let's look for the load
Q = I t
Q = 0.526 5
Q = 2.63 C
Let's use a direct rule of three proportions. If an electron has a charge of 1.6 10⁻¹⁹ C, how many electrons does 2.63 C have?
#_ {electron} = 2.63 C (1 electron / 1.6 10⁻¹⁹)
#_ {electron} = 1.64 10¹⁹ electrons
c) the resistance of a wire is given by
R = ρ l / A
where the resistivity of tungsten is 5.6 10⁻⁸ Ω
the area of the wire is
A = π r2 = π d²/4
we substitute
R = [tex]\rho \ l \ \frac{4}{\pi d^2}[/tex]
let's calculate
R = 5.6 10⁻⁸ 0.580 [tex]\frac{4}{ \pi (0.046 \ 10^{-3})^2 }[/tex]
R = 19.54 Ω
d) let's use ohm's law
V = i R
V = 0.526 19.54
V = 10.3 V
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Which of the following statements about the Sun is TRUE?
OA) Living things depend on the Sun for heat and light.
OB) The surface of the Sun is even hotter than the core.
C) The Sun is made up of helium gas.
OD) The Sun orbits the Earth in 365 days.
Calculate the speed of a periodic wave that
has a wavelength of 2.0 m and a frequency
of 3.0 Hz.
O 12 m/s
O 5 m/s
O 2 m/s
0 6 m/s
Answer:
5 m/s
Explanation:
How much resistance is required to limit the current from a 12 V battery to 3.6 mA?
Answer:
3333.3 ohm
Explanation:
V=IR so R =V/I (in Ampere) so convert 3.6 mA to 3.6*10^-3 A
so R =12/3.6*10^-3 =3333.3
I need help with science and I need a 4-10 sentences on this:
Explain what makes the offspring of a living thing resemble its parent.
Making instruments to transmit sound is an important technological advancement. Of a designer wants to transmit sound as quickly as possible through a wire made of one of these substances, which substance would she choose?
Answer:
b.lead
Explanation:
Answer:
B)Lead
Explanation:
I did the usatestprep
determine the number of milliliters in a volume of 2.81 fluid ounces
A town requiring 2.0 m3/s of drinking water has two sources, a local well with 15 g/m3 nitrate (as N) and a distant reservoir with 5 g/m3 nitrate (as N). What flow rates of well and reservoir water are needed to meet the EPA drinking water standard and minimize the use of more expensive reservoir water
Explanation:
Drinking water requirement in town 2.0 m^3/s of water per second
nitrate in local well nitrate per 15 [tex]\mathrm{m}^{3}[/tex] of water
nitrate in distant reservoir [tex]=5 \mathrm{~g} / \mathrm{m}^{3}[/tex]
Let the flow rate of well
flow rate of reservoir [tex]=y m^{3} / s[/tex]
Drinking water requirement is [tex]45 \mathrm{ppm}[/tex] or [tex]45 \mathrm{~g} / \mathrm{m}^{3}[/tex]
therefore, the total flow of drinking water
describe the relationship of the atoms shown above
choices:
Answer:
I don't know.
I need help with science o.o:
Question 1:
An egg yolk is unicellular.
True
False
___________________________
Question 2:
Your body has more than a billion cells.
True
False
_____________________
Question 3:
Almost all cells are not microscopic.
True
False
please dont steal my points :>
Answer:
TrueTrueFalseExplanation:
this is the answer
Answer:
1.true
2true
3.false
Explanation:
espero que te ayude
A car's bumper is designed to withstand a 7.20 km/h (2.0 m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force (in N) on a bumper that collapses 0.195 m while bringing a 830 kg car to rest from an initial speed of 2.0 m/s.
Answer:
8512 N
Explanation:
From the work energy theorem we know that: The net work done on a particle equals the change in the particles kinetic energy:
[tex]W=\Delta K=K_{f}-K_{i} \\ \\qquad \begin{array}{r} W=F \cdot d, \Delta K=\frac{1}{2} m v_{f}^{2}-\frac{1}{2} m v_{i}^{2} \\ F \cdot d=\frac{1}{2} m v_{f}^{2}-\frac{1}{2} m v_{i}^{2}[/tex]
Where:
-W is the work done by the force.
- F is the force actin on the.
- d is the distance travelled.
- m is the mass of the car.
- [tex]v_{f}, v_{i}[/tex] are the final and the initial velocity of the car
[tex]K_{f}, K_{i}[/tex] are the final and the kinetic energy of the car.
Givens: [tex]m=830 \mathrm{~kg}, v_{i}=2 \mathrm{~m} / \mathrm{s}, v_{f}=0 \mathrm{~km} / \mathrm{h}, d=0.195 \mathrm{~m}[/tex]
Plugging known information to get:
[tex]F \cdot d &=\frac{1}{2} m v_{f}^{2}-\frac{1}{2} m v_{i}^{2} \\ F &=\frac{\frac{1}{2} m v_{f}^{2}-\frac{1}{2} m v_{i}^{2}}{d} \\ &=\frac{0-\frac{1}{2} \times 830 \times 2^{2}}{0.195} \\ &=8.512 \times 10^{3} \\ F &=8.512 \times 10^{3} \mathrm{~N}[/tex]
welp I didn't mean to ask a question
PLEASE HELP ME WITH THIS ONE QUESTION
You have 1 kg of water and you want to use that to melt 0.1 kg of ice. What is the minimum temperature necessary in the water, to just barely melt all of the ice? (Lf = 3.33 x 105 J/kg, cwater 4186 J/kg°C)
Answer: [tex]7.95^{\circ}C[/tex]
Explanation:
Given
Mass of water is [tex]m_1=1\ kg[/tex]
mass of ice is [tex]m_2=0.1\ kg[/tex]
Latent heat of fusion [tex]L=3.33\times 10^5\ kJ/kg[/tex]
The heat capacity of water is [tex]c_{w}=4186\ J/kg^{\circ}C[/tex]
Suppose water is at [tex]T^{\circ} C[/tex] and it reaches to [tex]0^{\circ}C[/tex] to melt the ice
the heat released by water must be equivalent to heat absorbed by the ice
[tex]\therefore \quad m_1c_w(T-0)=m_2\times L\\\Rightarrow 1\times 4186\times T=0.1\times 3.33\times 10^5\\\Rightarrow T=7.95^{\circ}C[/tex]
a) The velocity with which the basketball is thrown and its time to reach the basket if thrown at angle of 45 degrees.
b) The velocity with which the basketball is thrown and its time to reach the basket if thrown at angle of 60 degrees.
c) The velocity with which the basketball is thrown and its time to reach the basket if thrown at angle of 30 degrees.
Please list the given, find, equations used, and steps to solve.
Answer: I think the answer is b
Explanation:
Why is the answer (A)?
In details please
Explanation:
resistance of wire can be determined by this equation
R = Rho . L / A
L = the length of wire
A = the Area, A = πr²
Rho = density of resictance
we can do some rational
R1/R2 = ( Rho L1/A1) / (Rho L2/A2)
L2 is the condition when the length is doubled and
L2 = 2 x L
A2 is the condition when the diameter is doubled
A2 = 4A1
R/R2 = (L1/A1)/(L2/A2)
R/R2 = (L/A) / (2L/4A)
R/R2 = 1 / ½
R2 = ½ R.
then we use formula of Voltage
V = I R
1st condition
V = 0.3 R
2nd condition ( V is constant)
V = I2 R2
0.3 R = I2 x ½R
i2 = 0.3/ ½
i2 = 0.6 Ampere
What happens during rusting?
Answer:
when water hits a metal surface it alongside oxygen have a chemical reaction making Hydrogenated Iron Oxide
Explanation:
what i remember from 7th grade
What happens when you sit in a chair?
A. The chair pushes back on you.
B. The chair does not push back on you.
C. There is no force being exerted.
D. The chair pushes in the same direction as you.
A 1500 kg car traveling at 30 m/s hits a stationary 1200 kg car. If they stick together on collision, what is the final velocity of the two cars?
Answer:
16.67 m/s
Explanation:
Let that velocity be v.
Using conservation of momentum:
Initial momentum = final momentum
momentum of car1 = momentum of cars
mass1 x velocity1 = (m1 + m2)v
1500*30 = (1500 + 1200)v
45000/2700 = v
16.67 m/s = v
A 150 Kg objects is lifted heights of 12 meters . What is the gravitational poteentain energy of the object.
Explanation:
u7ruey737€*hr7j37j27jw7uw7bwydbe7887yeyhduheyheyy755÷÷+5÷÷8€737€=67577
A certain type of decorative lamp contains colored liquids. These liquids form globs that break off and rise to the top of the liquids. The globe rises due to _____
Your answer:
conduction
convection
radiation
Answer: Convection
Explanation:
Convection can be defined as the transfer of heat energy from a fluid as hotter materials in the fluid rise up and cooler ones sink down. This results as the hot materials have low density as compared to those which are cold. In the decorative lamp the globs break out as the evaporated form of liquid rises up due to low density and the remaining cold fluid remains at the bottom as a result of convection.
PLZZZ HELP!!! 80PTS!!!
You are given a toy car and told it has a density of 0.54 g/mL and a volume of 38.2 mL. Calculate impulse, given that the toy car's acceleration is 10 m/s^2 and time is 10 s. WRITE THE NUMBER ONLY and DO NOT ROUND.
Answer:
Impulse = [tex]206.28 * 10 = 2062.8[/tex] g.m/s
Explanation:
Impulse is equal to the product of force and time
Here
Density of car = [tex]0.54[/tex] g/mL
Volume of car [tex]= 38.2[/tex] mL
Mass of the car is equal to the product of density and volume of car
Mass of the car [tex]= 0.54 * 38.2[/tex] [tex]= 20.628[/tex] grams
Acceleration of the car is [tex]10[/tex] m/s^2
Force is equal to product of mass and acceleration
F = [tex]20.628 * 10 = 206.28[/tex] g .m/s^2
Impulse = F * t
Impulse = [tex]206.28 * 10 = 2062.8[/tex] g.m/s
Brainliest!!! Write: Forces are all around us. Imagine that your teacher has asked you to teach a lesson to your peers about forces. Explain, in detail, how you experience forces in your everyday life. Give 3 examples
If you drag a bag across floor, you are experiencing a friction force
if you throw a paper or feather up, it floats side ways slowly. It is called air Resistance.
if you push or pull a Door, it is Normal force.
I hope this helped!
have an amazing Day!!
A solid sphere of radius R, a solid cylinder of radius R, and a rod of length R all have the same mass, and all three are rotating with the same angular velocity. The sphere is rotating around an axis through its center. The cylinder is rotating around its long axis, and the rod is rotating around an axis through its center but perpendicular to the rod. 1) Which one has the greatest rotational kinetic energy
Answer:
I(sphere) = 2/5 M R^2
I(rod) = 1/3 M L^2
I(cylinder) = 1/2 M R^2
From the information given I would assume that
the cylinder is the correct answer.
a mid-oceanic might be compared to what continental landform
Answer:
mountain range:)
Explanation:
What two things can change when an object accelerates?
Answer:
speed and velocity or direction.
30 POINTS PLS HELP NO LINKS PLS :/
In a wave, each particle of the medium vibrates, or oscillates, around a _____________.
A. Corner
B. Noise
C. Variable position
D. Fixed position
Answer:
C
Explanation:
trust me
D. Fixed position ,mean position , Equilibrium position.
What is wave motion?Wave motion is the transfer of energy and momentum from one point of the medium to another point of the medium without actual transport of matter between two points.
The particles of the medium vibrate about their equilibrium position in a direction parallel to the direction of propagation of the wave is called a longitudinal waves.
Characteristics of Wave Motion
In wave motion, the disturbance travels through the medium due to repeated periodic oscillations of the particles of the medium about their mean position (or) Equilibrium position.
Energy and momentum are transferred from one point to another without any actual transfer of the particles of the medium.
There is a regular phase difference between the particles of the medium because each particle receives disturbance little later than its preceding particle.
Therefore,
In a wave, each particle of the medium vibrates, or oscillates, around a fixed position.
Learn more about wave motion here:
https://brainly.com/question/12512349
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Archimedes' Principle states that a. the velocity of a fluid is directly proportional to the pressure exerted on the fluid. b. the pressure of a fluid is inversely proportional to the temperature of the fluid. c. the pressure in a fluid is directly related to the depth below the surface of the fluid. d. an object immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
Answer:
d. an object immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
indicate the types of mechanical energy that are present in the following situation. a punk sliding along level ice and is slowing down.
a) Kinetic Energy
b) Potential Energy
c) Both
d) Neither
Answer:
c
Explanation:
It contains both kinetic and potential energy.