Answer:
9.8 cm
Explanation:
x = natural length
k*[(12 - x)² - (10 - x)²]/2 = 6 (1)
k*[(14 - x)² - (12 - x)²]/2 = 6 + 10 (2)
(1): k(144 + x² - 24x - 100 - x² + 20x) = 12
k(44 - 4x) = 12,
divide by 4, k(11 - x) = 3, k = 3/(11 - x)
(2): k(196 + x² - 28x - 144 - x² + 24x) = 32
k(52 - 4x) = 32
divide by 4, k(13 - x) = 8
3/(11 - x) * (13 - x) = 8
3(13 - x) = 8(11 - x)
39 - 3x = 88 - 8x
5x = 49
x = 9.8 cm
What problem did the crew of Biosphere 2 face?
A virus from one of the animals
A loss of oxygen
One of the crew members developed cancer
The crew ran out of food.
A half-ring (semicircle) of uniformly distributed charge Q has radius R. What is the electric potential at its center
The electric potential at the center of the half-ring is [tex]\frac{kQ}{R}[/tex].
Electric force experienced by the chargeThe force experienced by the charge is calculated by Coulomb's law;
[tex]F = \frac{kQ^2}{R^2}[/tex]
Electric field strengthThe electric field strength is force per unit charge;
[tex]E = \frac{F}{Q} = \frac{kQ}{R^2}[/tex]
What is electric potential?The electric potential is work done in moving a charge from infinity to a certain point.
V = Ed
[tex]V = \frac{kQ}{R^2} \times R\\\\V = \frac{kQ}{R}[/tex]
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Gravity is a force that opposes motion. true or false?
Answer:
true,because when the gravity of an object is changed the motion of the object changes
2. Do the results by using a larger sample demonstrate the advantage of having a larger sample in the scattering experiment? Explain.
Answer: Better to have a larger sample size to precisely calculate.
Explanation: Larger sample sizes enable the researchers to more precisely calculate the expected principles of their own data and avoid errors caused by testing a small number of potentially atypical samples.
Which statement best describes the electric field?
A. The units are newton-coulombs, and the arrows indicate the direction that a negative charge placed in the field would feel a force
B. The units are newtons per coulomb, and the arrows indicate the direction that a negative charge placed in the field would feel a force.
C. The units are newton-coulombs, and the arrows indicate the direction that a positive charge placed in the field would feel a force.
D. The units are newtons per coulomb, and the arrows indicate the direction that a positive charge placed in the field would feel a force.
Answer:
D
Explanation:
A disk at rest experiences constant angular acceleration for t = 25 s, at the end of which it is spinning with a frequency of f = 55 rpm. Please answer the following questions.
A)Write a general expression for the magnitude of the angular velocity of the disk after the acceleration in terms of frequency.
B)Calculate the magnitude of the angular velocity of the disk in rad/s at time t = 25 s.
C)Write a general expression for the average angular acceleration of the disk αave in terms of angular velocity.
D) Calculate the magnitude of the average angular acceleration of the disk αave from rest to t = 25 s in rad/s2.
E)Write a general expression for the period T of the disk in terms of frequency f.
F)Calculate the magnitude of the period of the disk T at time t = 25 s in seconds.
(a) A general expression for the magnitude of the angular velocity of the disk is 2πf.
(b) The magnitude of the angular velocity of the disk is 5.76 rad/s.
(c) A general expression for the average angular acceleration of the disk is ω/t.
(d) The magnitude of the average angular acceleration of the disk is 0.23 rad/s².
(e) A general expression for the period T of the disk is 1/f.
(f) The magnitude of the period of the disk is 0.17 s.
Angular velocity
The angular velocity of the disk is the rate of change of angular displacement with time.
ω = 2πf
where;
f is the frequency
[tex]\omega = 2\pi \times 55\frac{rev}{\min} \times \frac{1 \min}{60 \ s} = 5.76 \ rad/s[/tex]
The angular velocity of the disk at time, t = 25 s is 5.76 rad/s.
Average angular acceleration of the disk[tex]\alpha = \frac{\Delta \omega }{t} \\\\\alpha = \frac{5.76}{25} \\\\\alpha = 0.23 \ rad/s^2[/tex]
Period of the diskT = 1/f
T = 1/5.76
T = 0.17 s
Thus, the period of the disk at time t = 25 s is 0.17 s.
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How does the nature of heat explain the occurrence of high temperature in a human body that has a fever?
Answer:
People get a fever when their brain sets the body temperature higher than normal. This may happen as a reaction to germs such as viruses or bacteria, but it can also happen as a reaction to substances that are made by the body, such as prostaglandins. Our body produces prostaglandins to fight off germs
Explanation:
A rectangular box has side 10cm x 5cm x 2cm. If it lies on a horizontal surface and has weight 1.00N, calculate the maximum and Minimum pressure it exerts on the Surface
Answer:
P max = 1000 pa
P min = 200 pa
Explanation:
P = F/A
pressure will be maximum when surface gets minimum. so to find the maximum amount of pressure we need to calculate the minimum surface. it is 2cm×5cm = 10cm² = 0.001m² . then we have:
P = 1 / 0.001 = 1000 pa
to find minimum pressure the surface that must be chosen is 10cm×5cm = 50cm² = 0.005m² .
P = 1 / 0.005 = 200 pa
with the aim of a diagram describe how a rain bow is formed
Answer:
Water droplets acts as tiny prism in the sky. The sunlight when enters these tiny droplets undergo internal reflection and also refract these rays which are dispersed causing a band of seven colors called rainbow.
Explanation:
Answer:
it us formed after the rain
The efficiency of the solar panel is 70%. Calculate the power of the solar radiation incident on the panel.
The incident power of the solar radiation is 1,185.6 W.
Thermal energy gained by the waterThe thermal energy gained by the water is calculated as follows;
Q = mcΔθ
Q = 0.019 x 4200 x (72 - 20)
Q = 4,149.6 J
Power of the solar radiation incident on the panelThe incident power of the solar radiation is calculated as follows;
[tex]0.7\times P = \frac{Q}{t} \\\\P = \frac{Q}{0.7t} \\\\P = \frac{4149.6}{0.7 \times 5} \\\\P = 1,185.6 \ W[/tex]
Thus, the incident power of the solar radiation is 1,185.6 W.
The complete question is below
In 5.0 s, 0.019 kg of water flows through the tubes of a solar heater. The temperature of the water increases from 20 °C to 72 °C. The specific heat capacity of water is 4200 J / (kg °C). Calculate the thermal energy gained by the water in 5.0 s.
The efficiency of the solar panel is 70%. Calculate the power of the solar radiation incident on the panel.
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How should you solve this question. Thank you!
Explanation:
a)
R total= R1 + R2 + R3 = 50 + 25 + 10 = 85
I = V/R total = 27/85 A
V1 = IR1 = 27/85 × 50 = 270/17 v
V2 = IR2 = 27/85 × 25 = 135/17 v
V3 = IR3 = 27/85 × 10 = 54/17 v
b)
R1,2 = R1.R2/(R1+R2) = 50 × 25/75 = 50/3
R total = R1,2.R3/(R1,2 + R3) = 50/3 × 10/( 50/3 + 10) = 500/80 = 25/4
I = V/R = 27/(25/4) = 108/25 A
V1 = V2 = V3 = V = 27 v
I1 = V/R1 = 27/50 A
I2 = V/R2 = 27/25 A
I3 = V/R3 = 27/10 A
How we can see different colors by our eyes?
I DID A Science PROJECT ON THIS >:)))
basically light travels into the eye to the retina located on the back of the eye. the retina is covered withe millions of light sensitive cells called Rods and cones. when these cells detect light they send signals to the brain that help detect color.
the color of an object is determined by the wavelengths of light that it reflects. it's determined by the arrangement of electrons in the atoms of that substance that will absorb and re-emit photons of particular energies according to quantum laws.
What is the difference between memos and emails?
O a. Memos are usually sent online and emails are usually sent on hard copy to inform an action
b. Memos are used for internal messages and emails can be used for external communication
O c. Emails are used for longer reports and memos are used for short reminders and replies
O d. Emails are used for formal reports and proposals and memos are for informal ideas
Brainliest if correct
Answer:
It's is c coz the weight is equal to the normal force
A rotating turntable (rt=4.50 m) is rotating at a constant rate. At the edge of the turntable is a mass (m = 3.00 kg) on the end of a 5.00 m - long string (L). If theta = 40.0o,determine:
The magnitude of the tension in the string is 9.31 N.
Tension in the stringThe magnitude of the tension in the string in the horizontal circle formed by the turn table is calculated as follows;
T = Fcos(θ)
where;
F is centripetal forceθ is inclination of the string[tex]T = \frac{mv^2}{r} \times cos(\theta)\\\\T = \frac{3 \times 4.5^2}{5} \times cos(40)\\\\T = 9.31 \ N[/tex]
Thus, the magnitude of the tension in the string is 9.31 N.
The complete question is below:
A rotating turntable (rt=4.50 m) is rotating at a constant rate. At the edge of the turntable is a mass (m = 3.00 kg) on the end of a 5.00 m - long string (L). If theta = 40.0o,determine the magnitude of the tension in the string.
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Two students side in carts opposite to one another in a spinning Ferris wheel as shown.
Student A is originally at the bottom of the Ferris wheel while student B is at the top of the Ferris wheel. As the wheel turns, student B comes to the bottom white student A arrives at the top, as shown. The Ferris wheel spins at a constant speed so the two students are traveling with constant speed. Students A and B have masses ma and mb, respectively. The Ferris wheel has a radius R. What is the magnitude of the TOTAL work done on student A in moving from the bottom to the top of the Ferris wheel? The total work is the sum of the work done by all the forces on the body; i.e. Wtotal = sum(Fd). Neglect air resistance.
Also, what is the sign of the work done on student B by the Ferris wheel in moving from the top to the bottom?
Net work done on student B by the Ferris wheel in moving from the top to the bottom is mathematically given as
net work done on A =0.
Net work doneGenerally the equation for the work energy theorem is mathematically given as
net work done on A = change in kinetic energy of A.
Where, angular velocity is constant.
change in kinetic energy = 0.
Hence, from work energy theorem,
net work done on A =0.
For more information on work
https://brainly.com/question/756198
what is the velocity of a 0.145kg baseball if its kinetic energy is 109 j
Answer:
The velocity of the 0.145 kg baseball is 38.7743 m/s.
General Formulas and Concepts:
Energy
Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]
m is mass (in kg)v is velocity (in m/s)KE is kinetic energy (in J)Explanation:
Step 1: Define
Identify.
m = 0.145 kg
KE = 109 J
Step 2: Solve for v
Substitute in variables [Kinetic Energy Formula]: [tex]\displaystyle 109 \ \text{J} = \frac{1}{2}(0.145 \ \text{kg})v^2[/tex]Simplify: [tex]\displaystyle 109 \ \text{J} = (0.0725 \ \text{kg})v^2[/tex]Isolate variable term: [tex]\displaystyle 1503.45 \ \text{J/kg} = v^2[/tex]Isolate v: [tex]\displaystyle v = 38.7743 \ \text{m/s}[/tex]Topic: AP Physics 1/C
Unit: Energy
What would a wave with a low amplitude sound like?
A It would sound quiet.
B It would sound loud.
C It would sound squeaky.
D It would sound deep.
Answer: Your answer is A. it would sound quiet.
Hope this helps!
Answer:
I think a but not sure
Explanation:
The amplitude of a sound wave determines its loudness or volume. A larger amplitude means a louder sound, and a smaller amplitude means a softer sound.
The philosopher Robert Nozick imagined an “experience machine” to show that a core feature of utilitarianism (as conceived by Bentham and Mill) does not conform with most people’s intuitions about “the good life.” Which of these core features of utilitarianism was Nozick’s main target?
Robert Nozick opines that individuals own themselves and hence have a right to own property.
What is utilitarianism?The term utilitarianism refers to the philosophical ideology that in the use of commodities, the best options is that which maximizes utility or satisfaction derived from the commodity.
In the position of Robert Nozick, utilitarianism means that individuals own themselves and hence have a right to own property.
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A sphere of mass M 5 1.00 kg is supported by a string that passes over a pulley at the end of a horizontal rod of length L 5 0.300 m (Fig. P17.15). The string makes an angle u 5 35.08 with the rod. The fundamental frequency of standing waves in the portion of the string above the rod is f 5 60.0 Hz. Find the mass of the portion of the string above the rod.
A fundamental frequency of 60 Hz, attached mass of 1 kg., rod length of
0.3 m gives the mass of the part of the string as 3.245 × 10⁻³ kg.
Response:
The mass of the string, m ≈ 3.245 × 10⁻³ kgHow can the mass of the part of the string be calculated?The given parameters are;
Mass of the sphere, M = 1.00 kg
Length of the rod, L = 0.300 m
Angle the string makes with the rod, θ = 35°
The fundamental frequency of the standing wave in the portion of the
string above the rod, f₁ = 60.0 Hz
Required;
The mass of the portion of the string above the rod
Solution:
The fundamental frequency in a string is given as follows;
[tex]f_1 = \mathbf{\dfrac{\sqrt{\dfrac{T}{m/l} } }{2 \cdot l}}[/tex]Where;
T = The tension in the string
m = The mass of the string
l = The length of the string
[tex]The \ tension \ in \ the \ string, \ T= \mathbf{\dfrac{M \cdot g}{sin(\theta)}}[/tex]Which gives;
[tex]T= \mathbf{\dfrac{1 \times 9.81}{sin(35)}} \approx 17.1[/tex]
The tension in the string, T ≈ 17.1 N
[tex]The \ length \ of \ the \ string, \ l=\mathbf{\dfrac{L}{cos(\theta)}}[/tex]
Therefore;
[tex]l=\dfrac{0.300}{cos \left(35^{\circ} \right)} \approx 0.366[/tex]
Therefore;
[tex]60.0 = \mathbf{\dfrac{\sqrt{\dfrac{17.1}{m/0.366} } }{2 \times 0.366}}[/tex]
Which gives;
[tex]m = \dfrac{17.1}{(60.0 \times 2 \times 0.366)^2} \times 0.366 \approx 3.245 \times 10^{-3}[/tex]
The mass of the string, m ≈ 3.245 × 10⁻³ kgLearn more about the fundamental frequency of an material here:
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Suppose that you want to build a transformer that will convert 70 V power coming in the primary coil to 245 V power going out of the secondary coil. What is the smallest total number of turns (primary turns plus secondary turns) you need to create the transformer
Answer: 9 Turns
Explanation: primary turns + secondary turns.
The smallest total number of turns (primary turns plus secondary turns) you will need to build the transformer is 9 turns
Data obtained from the question Primary voltage (Vₚ) = 70 VSecondary voltage (Vₛ) = 245 VTotal turns =? How to determine the primary and secondary turns Primary voltage (Vₚ) = 70 VSecondary voltage (Vₛ) = 245 VPrimary turns (Nₚ) =? Secondary turns (Nₛ) =?Nₛ / Nₚ = Vₛ / Vₚ
Nₛ / Nₚ = 245 / 70
Nₛ / Nₚ = 7 / 2
Thus,
Primary turns (Nₚ) = 2 turns Secondary turns (Nₛ) = 7 turnsHow to determine the total turns Primary turns (Nₚ) = 2 turns Secondary turns (Nₛ) = 7 turnsTotal turns =?Total turns = Nₚ + Nₛ
Total turns = 2 + 7
Total turns = 9 turns
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A battery is charging. Electric current enters the battery through the ______ terminal, at a ______ potential than when it exits the battery
Electric current enters the battery through the negative terminal, at a high potential than when it exits the battery.
What is Potential difference?This is the amount of work needed to move a unit charge from a reference point to a specific point against an electric field.
In a battery, electric current moves from negative to the positive terminal with the positive terminal having a higher potential which is the point where it leaves the battery.
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if two temperatures differ by 25 degrees on Celsius scale, the difference of temperature on Fahrenheit scale is?
Answer:
25 x 9/5 = 45 degrees Fahrenheit
Explanation:
The diagram shows a negative charge moving in a magnetic field.
Parallel vectors evenly spaced labeled B. There is a circle labeled v.
In which direction is the magnetic force acting on the charge?
right
left
into the screen
out of the screen
Answer:
Left
Explanation:
right on edge
Answer:
left
Explanation:
When the potential difference between the plates of a capacitor is increased by 3.50 V , the magnitude of the charge on each plate increases by 15.0 μC . What is the capacitance of this capacitor in μF?
Answer:
42.9 μF
Explanation:
V = 3.50 V, Q = 150 μC
C = Q/V = 150/3.50 μF = 42.9 μF
velocity ratio of a machine is 4 what does it mean
Answer:
It means that the velocity of the machine is 4
The rear wheel of a 150 kg tricycle accidentally ran over a nail. The circular tip of the nail has a diameter of 0.001 m. How much pressure did the wheel of the tricycle experience assuming that the entire weight of the tricycle is concentrated on the rear wheel that ran over the nail.
The pressure experienced by the wheel of the tricycle is 1.85×10¹⁰ N/m²
Pressure can be defined as the force acting perpendicular per unit area on the surface of a body. The S.I unit of pressure is N/m²
To calculate the pressure of the wheel of the tricycle, we use the formula below
Formula:
P = 4mg/πd².............. Equation 1Where:
P = Pressure of the tricycle wheelm = mass of the wheeld = diameter of the wheelg = acceleration due to gravityπ = pie.From the question,
Given:
m = 150 kgd = 0.001 mg = 9.8 m/s²π = 3.14Substitute these values into equation 1
P = 4(150)(9.8)/(0.001²×3.14)P = 5880/0.00000314P = 1.85×10¹⁰ N/m²Hence, The pressure experienced by the wheel of the tricycle is 1.85×10¹⁰ N/m².
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You're collecting data in BeyondLabz for an object in free fall, subject to air resistance. How do you know when you've collected enough data points for a single run
Enough data points would have been collected when specific data for upward and downward motion are collected.
What is a Data point?A data point is a discrete unit of information. This information is always unique.
Free fallAn object subjected to free fall is under the influence of gravity. An object subjected has different time of motion for upward and downward motion.
Thus, we can conclude that enough data points would have been collected when specific data for upward and downward motion are collected.
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Perform an experiment in which you flip a switch 2,300,000 times. Write this
number in scientific notation.
O A. 23 x 10-6
O B. 2.3 x 106
O C. 0.23 x 105
O D. 0.23 x 106
Answer:
B. 2.3 x 10⁶
Explanation:
To calculate scientific notation for the number 2,300,000, we have to follow this notation
a × 10^bStep 1 :
To find a we have to write the non-zero digits placing a decimal after the first non-zero digit.
2,300,000 to 2.300000Step 2 :
Now, to find b count how many numbers of digits are there to the right of the decimal.
2.300000Hence, there are 6 digits to the right of the decimal.
Step 3 :
Since, we had found the value of a and b, we can now reconstruct the number into scientific notation.
a = 2.3
b = 6
2.3 × 10⁶Therefore, option b is correct.
Enumerate some things you can do to make work easier and faster when working with simple machines. (2 answer)
Answer:
by increasing the distance through which force is applied, by multiplying force of speed to the energy applied
The first user who answer is correct :)
