Answer:
(a) 0.71 mm
(b) 0.158 cubic cm
Explanation:
The width of one wire is the diameter of the wire.
(a) Let the diameter of each wire is d.
So, 10 d = 14.2 mm
d = 1.42 mm
radius of each wire, r = d/2 = 1.42/2 = 0.71 mm
(b) Length, L = 10 cm
The volume of the single wire is given by
[tex]V =\pi\times r^2\times h \\\\V =3.14\times 0.071^2\times 10\\\\V =0.158 cm^3[/tex]
The drop in potential across a resistor in a circuit is 40 V. What is the current
flowing through the resistor if the resistance is 2.0 0? (use Ohmis law. V = IR
Answer:
Current, I = 20 Amperes.
Explanation:
Given the following data;
Voltage = 40 V
Resistance = 2 Ohms
To find current flowing through the resistor;
Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.
Mathematically, Ohm's law is given by the formula;
[tex] V = IR[/tex]
Where;
V represents voltage measured in voltage.
I represents current measured in amperes.
R represents resistance measured in ohms.
Making current (I) the subject of formula, we have;
[tex] I = \frac {V}{R} [/tex]
Substituting into the formula, we have;
[tex] I = \frac {40}{2} [/tex]
Current, I = 20 Amperes.
A bat is flying at 0.6 m/s when it spots an appetizing insect. The bat accelerated at a rate of 1.2m/s2 for 1.9
seconds. How fast is the bat traveling at the time?
Answer:
v_f = 2.9m/s
Explanation:
v_f = v_I + a(t)
v_f = 0.6m/s + 1.2m/s²(1.9s)
v_f = 2.88m/s
v_f = 2.9m/s
What energy transformation takes place when you stretch a bungee cord?
A.
Kinetic energy transforms into potential energy.
B.
Mechanical energy transforms into sound energy.
C.
Elastic energy transforms into kinetic energy.
D.
Potential energy transforms into elastic energy.
Answer:
D.Potential energy transforms into elastic energy.I need help with this too
A person weighs 60 kg. The area under the foot of the person is 150 cm2. Find the pressure exerted on the ground by the person. (Take g 10m/s2)
Answer:
40000 N/m²
Explanation:
Applying,
P = F/A................... Equation 1
Where P = Pressure, F = Force, A = Area.
From the question,
The force(F) exerted by the person's foot is thesame as it's weight.
F = W = mg............ Equation 2
Where m = mass of the person, g = acceleration due to gravity.
Substitute equation 2 into equation 1
P = mg/A................ Equation 3
Given: m = 60 kg, g = 10 m/s², A = 150 cm² = (150/10000) m² = 0.015 m²
Substitute these values into equation 3
P = (60×10)/0.015
P = 600/0.015
P = 40000 N/m²
If the distance between the source of sound and observer is reduced to one half, then
the intensity of sound will become
Answer:
Let the power delivered by the sound wave be 'P'
Intensity by definition is the power delivered per unit area.
i.e. I =
dA
dP
;
In spherical polar coordinate system dA = r
2
Ω
I =
r
2
Ω
dP
;
I ∝
r
2
1
So if distance increases 3 fold. The Intensity becomes
9
1
times the initial
1) Use SolidWorks (SW) FEA to apply a bending load of 600 lbf on the right end of the stepped shaft as shown below. This is the same geometry as H01. Estimate stress concentration factor Kt for bending from your FEA. Provide a hardcopy color plot of your FEA showing maximum von Mises stress.
Solution :
Given :
L = 1 in
d = 0.75 in
D = 1 in
Fillet radius, r = 0.063 in
[tex]$K_{t_{bending}=\frac{\sigma_{FEA_{bending }}}{\sigma_{Nominal_{bending }}}$[/tex]
We know that :
[tex]$\sigma_{b} = \frac{32M}{\pi d^3}$[/tex]
[tex]$\sigma_{b} = \frac{32 \times (2998.63 \times 25.4)}{\pi (0.75 \times 25.4)^3}$[/tex]
[tex]$=112.27 \ N/mm^2$[/tex]
[tex]$\sigma_{FEA} = 1.3 \times 10^8 \ N/m^2$[/tex]
[tex]$=1.3 \times 10^8 \times 10^{-6}$[/tex]
[tex]$=1.3 \times 10^2$[/tex] MPa
= 130 MPa
Therefore, the stress concentration factor is :
[tex]$k_t=\frac{130}{112.27}$[/tex]
= 1.157922
Danny and Iskander sit on a see-saw. Iskander weighs 40 N and sits 1.2 meters from the pivot. Danny sits 0.8 m from the pivot and the see-saw is balanced. How much does Danny weigh?
Answer:
60N
Explanation:
According to the principle of lever: a torque can control if an object will spin or not.
The torque Iskander cause is 40*1.2=48 N-m
So for balanced, Danny should cause the same torque.
48/0.8=60, Danny weigh 60N.
3.
The mass of a regulation tennis ball is 57 g. Typically during a serve the ball is in contact with the tennis racket for 30 ms. If the serve
was measured at 73.14 m/s what impulse was exerted on the tennis ball?
5.5 kg. m/s
7.8 kgm/s
2.3 kg. m/s
4.2 kg. m/s
An 84% efficient single pulley is used to lift a 230 kg piano 3.5 m. How much work must be input?
Answer:
35%
Explanation:
win
The amount of work required to lift the 230 kg to a height of 3.5 m at 84% efficiency is 9391.67 J
What is efficiency?This can be defined as the capacity to achieve a given task with little or no waste. Mathematically, it can be expressed as
Efficiency = (output / input) × 100
How to determine the work output Mass (m) = 230 KgHeight (h) = 3.5 mAcceleration due to gravity (g) = 9.8 m/s²Work output =?Work output = mgh
Work output = 230 × 9.8 × 3.5
Work output = 7889 J
How to determine the work input Output = 7889 JEfficiency = 84% Input =?Efficiency = (output / input) × 100
84% = 7889 / input
Cross multiply
84% × input = 7889
Divide both side by 84%
Input = 7889 / 84%
Input = 7889 / 0.84
Input = 9391.67 J
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5. How can you help yourself stay motivated to continue with your fitness program and healthy lifestyle once virtual P.E. has ended?
A boiling liquid absorbs thermal energy (heat) at a rate of 450 W. The specific latent heat of vaporisation is 2.7 × (10 race to power 6)J / kg.how much liquid is vaporised in 9 minutes?
Answer:
0.09 kg
Explanation:
The details of boiling liquid are;
The rate of thermal energy absorption by the liquid, P = 450 W
The specific latent heat of vaporization, c = 2.7 × 10⁶ J/kg
The required information = The amount of liquid vaporized in t = 9 minutes
We have;
P = E/t
Where;
P = Power supplied by the heat source = The rate of absorption of thermal energy
E = The energy absorbed
t = The time
The energy absorbed in 9 minutes, E = P × t
∴ E = 450 W × 9 min × 60 s/min = 243,000 J
The heat required to evaporate 1 kg of liquid = The specific latent heat of vaporization, c = 2.7 × 10⁶ Joules
The mass of the liquid evaporated by the energy absorbed, E, m = E/c
∴ m = 243,000 J/(2.7 × 10⁶ J/kg) = 0.09 kg
Therefore, the mass of the liquid vaporized by the energy absorbed at a rate of 450 W, in 9 minutes, m = 0.09 kg.
A hot cube of iron was heated up using 1500 J of thermal energy and was placed in a beaker of water. Before it was heated, the iron cube was 20.0 ˚C. The cube of iron raised the temperature of the water to 45.0 ˚C. If the iron cube has a mass of 133 g, what is the specific heat capacity of iron?
Answer:
451.13 J/kg.°C
Explanation:
Applying,
Q = cm(t₂-t₁)............... Equation 1
Where Q = Heat, c = specific heat capacity of iron, m = mass of iron, t₂= Final temperature, t₁ = initial temperature.
Make c the subject of the equation
c = Q/m(t₂-t₁).............. Equation 2
From the question,
Given: Q = 1500 J, m = 133 g = 0.113 kg, t₁ = 20 °C, t₂ = 45 °C
Substitute these values into equation 2
c = 1500/[0.133(45-20)]
c = 1500/(0.133×25)
c = 1500/3.325
c = 451.13 J/kg.°C
A weather reporter describes a large area of air that has the same temperature and air pressure . What is the reporter describing ?
Answer:
air mass
Explanation:
Remember, the weather of a particular location is often a description of the atmospheric condition of that particular place.
Indeed, the definition of an air mass fits the reporter's description above. As the name implies, a particular air mass would represent the temperature characteristics of a particular area that has a constant or the same temperature and air pressure.
a que velocidad en km/h corrio usain bolt en el capeonato mundial de berlin en 2009 para batir el record mundial de los 100 m planos en 9.58
Answer:
v = 37.59 km/h
Explanation:
The question says, "how fast in km / h did usain bolt run at the berlin world championship in 2009 to break the world record for the 100m sprint in 9.58".
Distance, d = 100 m = 0.1 km
Time, t = 9.58 s = 0.00266 h
We need to find the speed of the Usain Bolt. We know that,
Speed = distance/time
So,
[tex]v=\dfrac{0.1}{0.00266}\\\\v=37.59\ km/h[/tex]
So, the required speed is equal to 37.59 km/h.
1. What is the voltage if a resistance of 25 produces a current of 250
amperes?
The relationship between electric current and potential difference is stated by Ohm's law. Most conductors' current is directly inversely proportional to the voltage applied to them. German physicist Georg Simon Ohm was the first to empirically confirm Ohm's law.
What is the unit of Ohm's law?The expression for Ohm's law is V I. As a result, V = RI, where R is the resistance constant. R is influenced by the conductor's material, size, and other factors. Ohm () is its SI unit.
Ohms to volts conversion using the formula watts volts = watts ohms. or.
V = √W × Ω Example.
Given that,
Voltage (v) = 250 V
Resistance (R) = 25 Ω,
Determine current (I) =?
We know that from ohm's law
V = I R
I = V/R
I = 250 / 25
I = 10 A
Current in the circuit is 10 Amps.
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50cm long copper wire carries 5A current directed towards negative z-axis placed in a region if magneti field of strength 15T applied into the page the magnetic force will be?
Answer:
Your answer is 37.5 N
Explanation:
Force, F = BIL
F = 15 x 5 x 0.5 = 37.5 N
1. A boat is floating on the water.
One of the forces acting on the boat is the weight. This is the force of the Earth on the boat.
a
State the other force in this interaction pair.
(1 mark)
Answer:
Gravity
Explanation:
Because without gravity thee would be no boat floating on water
Why is using the same cutting and knife for both
cooked and uncooked food not a drisable?
Answer:
It spreads diseases.
Explanation:
But when cooked food is kept on the place where uncooked meat or food was kept the germs spread to the cooked food also and as the cooked food cannot be washed it harms us as we directly consume it.
A coil is wrapped with 332 turns of wire on the perimeter of a circular frame (of radius 30 cm). Each turn has the same area, equal to that of the frame. A uniform magnetic field is directed perpendicular to the plane of the coil. This field changes at a constant rate from 29 mT to 56 mT in 63 ms. What is the magnitude of the induced average E in the coil, over the time interval 63 ms during which the field changes
Answer:
[tex]E=84.5V[/tex]
Explanation:
From the question we are told that:
Number of Turns [tex]N=332turns[/tex]
Radius [tex]r= 30cm[/tex]
Field Change [tex]B=56mt-29mt=27mt[/tex]
Time [tex]t=63ms[/tex]
Generally the equation for Magnetic Field is mathematically given by
[tex]\frac{dB}{dt}=\frac{27*10^{-3}}{29*10^{-3}}[/tex]
[tex]\frac{dB}{dt}=0.9T/s[/tex]
Generally the Flux at 332 turns is mathematically given by
[tex]\phi=N*A*B[/tex]
Generally the equation for Area of coil is mathematically given by
[tex]A=\pi*r^2[/tex]
[tex]A=\pi*(r*10^{-2})^2[/tex]
Since
[tex]\phi=332*\pi*(\theta*10^{-2})^2*B[/tex]
Therefore
[tex]\frac{d \phi}{dt}=332*\pi*(900*10^{-4}*\frac{dB}{dt}[/tex]
Generally the equation for emf Magnitude is mathematically given by
[tex]E=\frac{d\phi}{dt}[/tex]
[tex]E=332*\pi*(900*10^{-4}*0.9[/tex]
[tex]E=84.5V[/tex]
A bus start from rest the aaceleration of the bus after 5 seconds become 10m/s2 find the final velocity of the bus
Answer:
The final velocity is 50 m/s.
Explanation:
Below is the calculation of velocity:
v = u + a*t
v = final velocity
u = initial velocity
a = accreleration
Since, u = 0, a = 10m/s^2, and t = 5 seconds. Now plug these values in the formula.
v = u + a*t
v = 0 + 10 x 5
v = 50 m/s
The final velocity is 50 m/s.
PLEASE HELP WITH THIS QUESTION
Which of Newton's Laws is represented in this demo?
Answer:
Newton's first law
Explanation:
you see, when an object is in motion, it tends to stay in motion, but in your case, if a object is at rest, it usually stays at rest unless acted upon my an unbalanced force which is pulling card from under the coin extremely quick and because you pulled it extremely quick, the coin isn't light enough to be moved easily with the paper, nor enough friction and speed for the coin to continue sticking onto the piece of paper
A.K.A. the coin is heavy, which is why it did not move with the paper
Answer:
Newton's First Law - Law of Inertia
Explanation:
Newton's First Law, the Law of Inertia mentions that an object at rest will stay in rest until acted by another force. The penny's inertia will cause it to fall directly down into the cup because the magnitude of external force applied by the card will be too meager to have a notable effect.
How do the meetings of the words exercise and fitness differ?
Define time period. Give its formula.
Answer:
Part A
Time period, designated by the symbol, 'T', is defines as the time it takes for a complete cycle of an oscillation or vibration (of a wave) to transit through a given point.
The longer the time period of a wave, the lower the frequency of the wave
The unit of the time period is seconds, 's'
Part B
Mathematically, the formula for the time period is presented as follows;
f = 1/T
∴ T = 1/f
f = v/λ
∴ T = λ/v
Where;
v = The velocity of the wave;
λ = The wavelength of the wave
Explanation:
If the rotation of a planet of radius 5.32 × 106 m and free-fall acceleration 7.45 m/s 2 increased to the point that the centripetal acceleration was equal to the gravitational acceleration at the equator, what would be the tangential speed of a person standing at the equator?
Answer:
v = 6295.55 m/s
Explanation:
Given that,
The radius of a planet, [tex]r=5.32\times 10^6\ m[/tex]
The free fall acceleration of the planet, a = 7.45 m/s²
We need to find the tangential speed of a person standing at the equator.
Also, the centripetal acceleration was equal to the gravitational acceleration at the equator.
We know that,
Centri[etal acceleration,
[tex]a=\dfrac{v^2}{r}\\\\v=\sqrt{ar}\\\\v=\sqrt{5.32\times10^6\times 7.45}\\\\v=6295.55\ m/s[/tex]
So, the tangential speed of the person is equal to 6295.55 m/s.
A man can jump 2 m on the surface of the earth, calculate the height that he can jump on the surface of the moon?
Answer:
hi
Explanation:
it is probably 12 m on the surface of the moon
have a good day
I hope this is help full to you
A student has connected two generator/motors together. The student turns the crank 20 times and noticed the other crank only turns 12 times. What happened to the "missing" energy?
Answer:
eu não consigo entender essa situação o Fim dessa história só pode ter confusão dos iguais com cabeças diferentes a invés de amigas são concorrentes
What is the force between two charged objects called ?
Answer:
Coulomb force
Explanation:
The electric force between charged bodies at rest is conventionally called electrostatic force or Coulomb force. The force is along the straight line joining the two charges.
amphibians fish birds reptiles mammals insects which one is an odd one out
Answer:
Explanation:
I think it's insects. All the rest have some sort of spinal structure. They are classified as vertebrates (meaning they have a spinal structure).
Answer:
Mammals
Explanation:
Mammals are the odd ones out because they do not lay eggs. Unlike amphibians, fish, birds, reptiles, and insects, which do lay eggs.
need help please... thank u
Answer:
the answer from my side is both vertical and horizontal
Answer:
Entirely horizontal
Explanation:
The ball begins the movement with horizontal and vertical velocity, but it is subject to the gravity acceleration, that will break the movement. When it achieves the top of the path, is when the vertical velocity go to 0 and begin to grow in the opposite direction, so in the very top of the path, the velocity is entirely horizontal