Answer: The image is at a distance of 24 cm on the right of the lens, it will be an inverted, real image and has a height of 7 cm.
Explanation: To determine the position of the image of the object, use the Lens Equation, which is described by:
[tex]\frac{1}{f} = \frac{1}{u} +\frac{1}{v}[/tex]
where
f is focal length;
u is distance of the object from the lens;
v is distance of the image of the pbject from the lens;
Calculating the position of the image will be:
[tex]\frac{1}{v} =\frac{1}{f} - \frac{1}{u}[/tex]
[tex]\frac{1}{v} = \frac{1}{8} - \frac{1}{12}[/tex]
[tex]\frac{1}{v} = \frac{1}{24}[/tex]
v = 24 cm
Note that the distance of the image from the lens is positive. This means that the formed image is positioned at the right of the lens and is inverted.
For the height of the image, it can be used the Magnification (M) of an image:
M = [tex]\frac{h_{i}}{h_{o}} = \frac{v}{u}[/tex]
where:
[tex]h_{i}[/tex] is the height of the image
[tex]h_{o}[/tex] is the height of the object
For this image:
[tex]\frac{h_{i}}{3.5} = \frac{24}{12}[/tex]
[tex]h_{i} =[/tex] 2 * 3.5
[tex]h_{i}[/tex] = 7 cm
The image formed for this lens is 24 cm on the right of the lens, inverted related to the object and has height of 7 cm.
When hitting the golf ball the golfer swings the golf club to keep it in contact with the golf ball for as long as possible. The force acting on the golf ball is constant during this time. Explain the effect that the time of contact between the golf club and the golf ball has on the distance the golf ball travels
Answer:
Explanation:
We shall apply the concept of impulse which is given as follows .
Impulse = force x time
Impulse = change in momentum
If u be the initial velocity of golf ball and v be the final velocity , m be the mass
change in momentum
= mu - ( - mv )
= mu+ mv
If F be the force applied and t be the duration of touch with the ball
Impulse = F x t
F x t = mu + mv
mv = Ft - mu
For given mu , greater the value of t , greater will be the value of v
so v is increased when t is increased .
Increased value of v will help in achieving greater distance attained by
golf ball
An object of mass 800g hangs on a spring. Calculate the force exerted by the object if acceleration due to gravity is 10/s2
Answer:
8 N
Explanation:
Using the equation F=ma (F: force/ m: mass in kg/ a: acceleration),
F = (800/1000)(10)
F = 8 N
A student throws a 120 g snowball at 7.5 m/s at the side of the schoolhouse, where it hits and sticks. What is the magnitude of the average force on the wall if the duration of the collision is 0.15 s
Answer:
The magnitude of the average force on the wall during the collision is 6 N.
Explanation:
Given;
mass of snowball, m = 120 g = 0.12 kg
velocity of the snowball, v = 7.5 m/s
duration of the collision between the snowball and the wall, t = 0.15 s
Magnitude of the average force can be calculated by applying Newton's second law of motion;
F = ma
where;
a is acceleration = v / t
a = 7.5 / 0.15
a = 50 m/s²
F = ma
F = 0.12 x 50
F = 6 N
Therefore, the magnitude of the average force on the wall during the collision is 6 N.
During or after exercise,it is normal for a student to comment that his/her heart feels like it is "beating out of my chest"?
Answer:
Yes it is normal
Explanation:
When you exercise, your heart beat goes up, resulting in people saying that their heart feels like it is "beating out of their chests".
What makes a clinical thermometer suitable for measuring small changes in body temperature? *
Answer: Because of the fine bore of the tube.
Explanation:
Temperature is the degree of hotness and coldness. And thermometer is the instrument use to measure temperature.
The two most common types of themometric fluids for thermometer are alcohol and mercury.
What makes a clinical thermometer suitable for measuring small changes in body temperature is because of the fine bore of the tube which makes it possible for small temperature changes to cause large changes in the length of mercury columns, making the thermometer very sensitive to temperature changes.
The most prominent feature of the thermometer is the kink or constriction of bore near the bulb.
Answer:
xxx
Explanation:
Assessment started: undefined. Item 1 Which statement accurately describes what happens when ice melts in terms of energy? A:The ice releases energy which causes chemical bonds to break, changing the ice to water.;B:The ice releases energy which causes the water molecules to have less kinetic and potential energy, changing their configuration from solid to liquid. C:The ice absorbs energy which causes the water molecules to have more kinetic and potential energy, changing their configuration from a solid to a liquid. D:The ice absorbs energy which causes chemical bonds to break, changing ice to water.
Answer:
A.
Explanation:
it's needed top release energy due to the breaking of chemical bonds.
Answer:
A: the ice releases energy which causes chemical bonds to break, changing the water to ice.
Explanation:
What is the momentum of a 35.0 kg cannonball fired from a cannon with a velocity of 500.0 m/s?
Answer:
p = 17500 kg*m/s
Explanation:
p = mv
p = 35.0 kg * 500.0 m/s = 17500 kg*m/s
The momentum of a 35.0 kg cannonball fired from a cannon with a velocity of 500.0 m/s will be equal to 17500 [tex]\dfrac{kg.m}{s}[/tex]
What is momentum ?
When any body which is having a mass and is in the motion carry momentum with it.
The formula for finding the momentum of any body is given by
[tex]Momentum = Mass\times Velocity[/tex]
Given that-
[tex]Mass = 35 kg[/tex]
[tex]Velocity = 500[/tex] [tex]\dfrac{m}{s}[/tex]
[tex]Momentum = 35\times500[/tex]
[tex]momentum= 17500 \dfrac{kg.m}{s}[/tex]
Hence The momentum of a 35.0 kg cannonball fired from a cannon with a velocity of 500.0 m/s will be equal to 17500 [tex]\dfrac{kg.m}{s}[/tex]
To learn more about Momentum follow
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a 0.350 kg block at -27.5 °C is added to 0.217 kg of water at 25.0 °C. they come to equilibrium at 16.4 °C. what is the specific heat of the block?
Answer:
[tex]C_{pb}=0.501\ kJ/kg.K[/tex]
Explanation:
Given that
[tex]m_1=0.35 kg[/tex]
[tex]T_1=-27.5^oC[/tex]
[tex]m_2=0.214 kg[/tex]
[tex]T_2=25^oC[/tex]
[tex]T=16.4^oC[/tex]
We know that
[tex]C_{pw}=4.187 kJ/kg.K[/tex]
By using energy conservation
Heat lost by water = Heat gain by block
[tex]m_2\times C_{pw}\times (T_2-T)=m_1\times C_{pb}\times (T-T_1)[/tex]
[tex]0.214\times 4.187\times (25-16.4)=0.35\times C_{pb}\times (16.4+27.5)[/tex]
[tex]C_{pb}=0.501\ kJ/kg.K[/tex]
Therefore the specific heat of the block will be 0.501 kJ/kg.K
The distance from the Earth to the Sun equals 1 AU. Neptune is 30 AU from the Sun. How far is Neptune from the Earth?AU
Answer:
Depending on the relative position of the Earth the Sun and Neptune in the Earths orbit the distances are;
The closest (minimum) distance of Neptune from the Earth is 29 AU
The farthest (maximum) distance of Neptune fro the Earth is 31 AU
Explanation:
The following parameters are given;
The distance from the Earth to the Sun = 1 AU
The distance of Neptune from the Earth = 30 AU
We have;
When the Sun is between the Earth and Neptune, the distance is found by the relation;
Distance from the Earth to Neptune = 30 + 1 = 31 AU
When the Earth is between the Sun and Neptune, the distance is found by the relation;
Distance from the Earth to Neptune = 30 - 1 = 29 AU
Therefore, the closest distance from Neptune to the Earth in the Earth's Orbit is 29 AU
The farthest distance from Neptune to the Earth in the Earth's orbit is 31 AU.
Answer:
29 AU
Explanation:
when a 0.622kg basketbll hits the floor its velocit changes from 4.23m/s down to 3.85m/s up. if the averge force was 72.9N how much time was it in contact with the floor?
Answer:
Time, t = 3.2 ms
Explanation:
It is given that,
Mass of basketball, m = 0.622 kg
Initial velocity, u = 4.23 m/s
Final velocity, v = 3.85 m/s
Average force acting on the ball, F = 72.9 N
We need to find the time of contact of the ball with the floor. Let t is the time of contact. So,
[tex]F=ma\\\\F=\dfrac{m(v-u)}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{0.622\times (3.85-4.23)}{72.9}\\\\t=0.0032\ s\\\\\text{or}\\\\t=3.2\ ms[/tex]
So, the ball is in contact with the floor for 3.2 ms.
A mass of 1 slug is suspended from a spring whose spring constant is 9 lb/ft. The mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of Ï3 ft/s. Find the times at which the mass is heading downward at a velocity of 3 ft/s.
Answer:
t = 5π/18 + 2nπ/3 or π/6 + 2nπ/3 where n is a natural number
Explanation:
To solve the problem/ we first write the differential equation governing the motion. So,
[tex]m\frac{d^{2} x}{dt^{2} } = -kx \\ m\frac{d^{2} x}{dt^{2} } + kx = 0\\\frac{d^{2} x}{dt^{2} } + \frac{k}{m} x = 0[/tex]
with m = 1 slug and k = 9 lb/ft, the equation becomes
[tex]\frac{d^{2} x}{dt^{2} } + \frac{9}{1} x = 0\\\frac{d^{2} x}{dt^{2} } + 9 x = 0[/tex]
The characteristic equation is
D² + 9 = 0
D = ±√-9 = ±3i
The general solution of the above equation is thus
x(t) = c₁cos3t + c₂sin3t
Now, our initial conditions are
x(0) = -1 ft and x'(0) = -√3 ft/s
differentiating x(t), we have
x'(t) = -3c₁sin3t + 3c₂cos3t
So,
x(0) = c₁cos(3 × 0) + c₂sin(3 × 0)
x(0) = c₁cos(0) + c₂sin(0)
x(0) = c₁ × (1) + c₂ × 0
x(0) = c₁ + 0
x(0) = c₁ = -1
Also,
x'(0) = -3c₁sin(3 × 0) + 3c₂cos(3 × 0)
x'(0) = -3c₁sin(0) + 3c₂cos(0)
x'(0) = -3c₁ × 0 + 3c₂ × 1
x'(0) = 0 + 3c₂
x'(0) = 3c₂ = -√3
c₂ = -√3/3
So,
x(t) = -cos3t - (√3/3)sin3t
Now, we convert x(t) into the form x(t) = Asin(ωt + Φ)
where A = √c₁² + c₂² = √[(-1)² + (-√3/3)²] = √(1 + 1/3) = √4/3 = 2/√3 = 2√3/3 and Ф = tan⁻¹(c₁/c₂) = tan⁻¹(-1/-√3/3) = tan⁻¹(3/√3) = tan⁻¹(√3) = π/3.
Since tanФ > 0, Ф is in the third quadrant. So, Ф = π/3 + π = 4π/3
x(t) = (2√3/3)sin(3t + 4π/3)
So, the velocity v(t) = x'(t) = (2√3)cos(3t + 4π/3)
We now find the times when v(t) = 3 ft/s
So (2√3)cos(3t + 4π/3) = 3
cos(3t + 4π/3) = 3/2√3
cos(3t + 4π/3) = √3/2
(3t + 4π/3) = cos⁻¹(√3/2)
3t + 4π/3 = ±π/6 + 2kπ where k is an integer
3t = ±π/6 + 2kπ - 4π/3
t = ±π/18 + 2kπ/3 - 4π/9
t = π/18 + 2kπ/3 - 4π/9 or -π/18 + 2kπ/3 - 4π/9
t = π/18 - 4π/9 + 2kπ/3 or -π/18 - 4π/9 + 2kπ/3
t = -7π/18 + 2kπ/3 or -π/2 + 2kπ/3
Since t is not less than 0, the values of k ≤ 0 are not included
So when k = 1,
t = 5π/18 and π/6. So,
t = 5π/18 + 2nπ/3 or π/6 + 2nπ/3 where n is a natural number
The time interval at which the mass will head downward at the velocity of 3 ft/s is t = 5π/18 + 2nπ/3.
Given data:
The mass suspended from spring is, m = 1 slug.
The spring constant is, k = 9 lb/ft.
The magnitude of upward velocity is, v = 3 ft/s.
The magnitude of downward velocity is, v' = 3 ft/s.
The given problem can be resolved by framing a differential equation that governs the motion of spring. The differential equation governing the motion of spring is,
[tex]m \dfrac{d^{2}x}{dt^{2}}=-kx\\\\\\\dfrac{d^{2}x}{dt^{2}}+\dfrac{k}{m}x=0[/tex]
With m = 1 slug and k = 9 lb/ft, the equation becomes
[tex]\dfrac{d^{2}x}{dt^{2}}+\dfrac{9}{1}x=0\\\\\\\dfrac{d^{2}x}{dt^{2}}+9x=0[/tex]
Now, the characteristic equation is,
D² + 9 = 0
D = ±√-9 = ±3i
And the general solution of the above equation is,
x(t) = c₁cos3t + c₂sin3t
Now, our initial conditions are
x(0) = -1 ft and x'(0) = -√3 ft/s
differentiating x(t), we have
x'(t) = -3c₁sin3t + 3c₂cos3t
So,
x(0) = c₁cos(3 × 0) + c₂sin(3 × 0)
x(0) = c₁cos(0) + c₂sin(0)
x(0) = c₁ × (1) + c₂ × 0
x(0) = c₁ + 0
x(0) = c₁ = -1
Also,
x'(0) = -3c₁sin(3 × 0) + 3c₂cos(3 × 0)
x'(0) = -3c₁sin(0) + 3c₂cos(0)
x'(0) = -3c₁ × 0 + 3c₂ × 1
x'(0) = 0 + 3c₂
x'(0) = 3c₂ = -√3
c₂ = -√3/3
So,
x(t) = -cos3t - (√3/3)sin3t
Now, we convert x(t) into the form x(t) = Asin(ωt + Φ)
where A = √c₁² + c₂²
= √[(-1)² + (-√3/3)²]
= √(1 + 1/3) = √4/3 = 2/√3 = 2√3/3
and Ф = tan⁻¹(c₁/c₂) = tan⁻¹(-1/-√3/3) = tan⁻¹(3/√3) = tan⁻¹(√3) = π/3.
Since tanФ > 0, Ф is in the third quadrant. So, Ф = π/3 + π = 4π/3
x(t) = (2√3/3)sin(3t + 4π/3)
So, the velocity v(t) = x'(t) = (2√3)cos(3t + 4π/3)
We now find the times when v(t) = 3 ft/s
So (2√3)cos(3t + 4π/3) = 3
cos(3t + 4π/3) = 3/2√3
cos(3t + 4π/3) = √3/2
(3t + 4π/3) = cos⁻¹(√3/2)
3t + 4π/3 = ±π/6 + 2kπ
where k is an integer
3t = ±π/6 + 2kπ - 4π/3
t = ±π/18 + 2kπ/3 - 4π/9
t = π/18 + 2kπ/3 - 4π/9 or -π/18 + 2kπ/3 - 4π/9
t = π/18 - 4π/9 + 2kπ/3 or -π/18 - 4π/9 + 2kπ/3
t = -7π/18 + 2kπ/3 or -π/2 + 2kπ/3
Since t is not less than 0, the values of k ≤ 0 are not included
So when k = 1,
t = 5π/18 and π/6.
t = 5π/18 + 2nπ/3
here, n is a natural number.
Thus, we can conclude that the time interval at which the mass will head downward at the velocity of 3 ft/s is t = 5π/18 + 2nπ/3.
Learn more about the differential equation here:
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an astronaut is said to be weightless when he/she travels in a satellite.does it mean that the earth does not attract him/her?
Answer:
No, gravitational force is a force having infinite range. It only reduces to an extent that astronauts cannot feel it.
Explanation:
What is the meaning of wwe
Answer:
World Wrestling Entertainment, Inc., d/b/a WWE, is an American integrated media and entertainment company that is primarily known for professional wrestling. WWE has also branched out into other fields, including movies, football, and various other business ventures.
Answer:
This means WORLD WRESTLING ENTERTAINMENT.
Explanation:
This is an american integrated media and entertainment company that is primarily known for PROFESSIONAL WRESTLING.
A woman is standing on a steep hillside in the rain and is not moving. A
sudden gust of wind blows down the hillside, which makes her start sliding
down the hill. When the wind stops blowing, the woman continues to slide.
Which of the following statements explains why she continues to slide down
the hillside?
A. The component of the woman's weight along the hillside is larger
than the kinetic friction between the woman and the ground.
B. The component of the woman's weight along the hillside is less
than the kinetic friction between the woman and the ground.
C. The component of the woman's weight along the hillside is larger
than the static friction between the woman and the ground.
D. The component of the woman's weight along the hillside is less
than the static friction between the woman and the ground.
SUBMIT
Answer:
The correct option is;
A. The component of the woman's weight along the hillside is larger than the kinetic friction between the woman and the ground
Explanation:
Given that the coefficient of static friction is always larger than the coefficient of kinetic friction, we have that before the wind blew, the component of the woman's weight along the hillside was lesser than the static friction between the woman and the ground, when the wind blew the total force of the wind and the component of the woman's weight put her into motion such that the acting frictional force was then the kinetic frictional force which was lesser than the kinetic frictional force so the woman continues to slide down the hillside without the wind.
Choose the friction which opposes the relative motion between surfaces in motion a.Static friction b.Kinetic friction c.Sliding friction d.Both kinetic and sliding friction
Answer:
d. Both kinetic and sliding friction
Explanation:
Kinetic friction, commonly known as sliding friction, happens when a body with its surfaces in contact is in relative motion with another. It's the frictional force slowing it down, and finally stopping a moving body. One can describe sliding friction as the resistance any two objects create while sliding against each other. It is often documented as the force required to hold a surface moving along another surface. It is determined by two variables- one is material of the object and another is its weight.
What does FAI stand for?
Answer:
Femoroacetabular impingement
It occurs when an area of your hip joint becomes pinched when you move in certain directions. :)
Una bola de 1 kg gira alrededor de un circulovrtical en el extremo de un cuerda. El otro extremo de la cuerda esta fijo en el centro del circulo. Calcular la diferencia entre las tensiones (de la cuerda) maxima y minima
Answer:
La diferencia entre las tensiones máxima y mínima es de 19.614 newtons.
Explanation:
Puesto que la bola gira en un círculo vertical, existe claramente una diferencia entre las tensiones debido a la influencia de la gravedad y la tensión que resulta de la aceleración centrípeta experimentada por la masa. La máxima tensión ocurre cuando la bola se encuentra en el nadir (o la sima) del trayecto circular, la cual se describe por la Segunda Ley de Newton:
[tex]T_{max} - m\cdot g = m\cdot \frac{v^{2}}{L}[/tex]
En cambio, la mínima tensión aparece cuando la bola se encuentra en el cénit (o la cima) del trayecto circular, descrita por la misma ley de Newton:
[tex]T_{min} + m\cdot g = m\cdot \frac{v^{2}}{L}[/tex]
Donde:
[tex]T_{min}[/tex], [tex]T_{max}[/tex] - Tensiones mínima y máxima, medidas en newtons.
[tex]m[/tex] - Masa de la bola, medida en kilogramos.
[tex]g[/tex] - Constante gravitacional, medida en metros por segundo al cuadrado.
[tex]L[/tex] - Distancia con respecto al eje de rotación, medida en metros.
[tex]v[/tex] - Rapidez tangencial, medido en metros por segundo.
Se elimina la aceleración centrípeta de ambas expresiones por igualación:
[tex]T_{min} + m\cdot g = T_{max} - m\cdot g[/tex]
Ahora, la diferencia entre las tensiones máxima y mínima es:
[tex]T_{max} - T_{min} = 2\cdot m \cdot g[/tex]
Si [tex]m = 1\,kg[/tex] y [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], entonces:
[tex]T_{max} - T_{min} = 2\cdot (1\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]
[tex]T_{max}-T_{min} = 19.614\,N[/tex]
La diferencia entre las tensiones máxima y mínima es de 19.614 newtons.
Which statement describes one of Wegener's ideas that contributed to the theory of continental drift?
Answer:
Over tens of millions of years, the giant supercontinent Pangaea began to slowly drift apart, forming the continents as they are known today.
Explanation:
i took the active
Answer:
the continents were once connected as one landmass.
Explanation:
right on edge 2022
Q.) Miscellaneous conversations. a) mass=120*10^8 g (Convert this value in mg and kg Write in standard form after converting) b) length=200000*10^3 Convert this value in micrometres cm and km Write in standard form after converting
Answer:
a. Convert 120 × 10⁸ g to i mg = 1.2 × 10¹³ mg ii. to g = 1.2 × 10⁷ kg
b. Convert 200000 × 10³ m to i. micrometers = 0.2 × 10³ μm ii. to cm = 2 × 10⁶ cm iii. to km = 2 × 10⁵ km
Explanation:
a. i. To convert the mass = 120 × 10⁸ g to mg, We know that 1000 mg = 10³ mg = 1 g, Since we are converting to mg, 120 × 10⁸ g = 120 × 10⁸ × 1g = 120 × 10⁸ × 10³ mg = 120 × 10¹¹ mg = 1.2 × 10² × 10¹¹ mg = 1.2 × 10¹³ mg
ii. To convert the mass = 120 × 10⁸ g to kg, We know that 1000 g = 10³ g = 1 kg, 1 g = 10⁻³ kg. Since we are converting to kg, 120 × 10⁸ g = 120 × 10⁸ × 1g = 120 × 10⁸ × 10⁻³ kg = 120 × 10⁵ kg = 1.2 × 10² × 10⁵ kg = 1.2 × 10⁷ kg
b. i.To convert the length = 200000 × 10³ m to micrometers, We know that 1/1000000 μm = 10⁻⁶ mg = 1 m, Since we are converting to micrometers, μm, 200000 × 10³ m = 200000 × 10³ × 1 m = 200000 × 10³ × 1/1000000 μm = 200000/1000000 × 10³ μm = 0.2 × 10³ μm
ii. To convert the length = 200000 × 10³ m to cm, We know that 100 cm = 10² cm = 1 m, 1 m = 10⁻² cm = 1/100 cm. Since we are converting to cm, 200000 × 10³ m = 200000 × 10³ × 1 m = 200000 × 10³ × 1/100 cm = 200000/100 × 10³ cm = 2000 × 10³ cm = 2 × 10³ × 10³ cm = 2 × 10⁶ cm
iii. To convert the length = 200000 × 10³ m to km, We know that 1000 m = 10³ m = 1 km, 1 m = 10⁻³ km = 1/1000 km Since we are converting to km, 200000 × 10³ m = 200000 × 10³ × 1 m = 200000 × 10³ × 1/1000 km = 200000/1000 × 10³ km = 200 × 10³ km = 2 × 10² × 10³ km = 2 × 10⁵ km
100 POINTS! I will mark brainliest! Record your hypothesis as an “if, then” statement for the rate of dissolving the compounds: Record your hypothesis as an “if, then” statement for the boiling point of the compounds:
Answer:
Rate of dissolving compounds:
If we increase the temperature of the solution, then the dissolving compound would dissolve more easily.
Boiling Point of Compounds:
If the inter-molecular forces of any compound is really strong, then the boiling point of the compound would be really high.
Answer: This is just re worded from the other answer to give a different saying to the responce.
Record your hypothesis as an “if, then” statement for the rate of dissolving the compounds: If we increase the temperature then the compound will dissolve easier.
Record your hypothesis as an “if, then” statement for the boiling point of the compounds: If the forces of the compound itself is strong, then the boiling point would be way higher.
Which measurement is a potential difference?
O A. 115 N
O B. 115 C
O C. 115 J
O D. 115 V
Answer:
option d is answer because pd is measured in volt.
What us meant by Velocity ratio of simple machine is 4?
Un tubo de acero de 40000 kilómetros forma un anillo que se ajusta bien a la circunferencia de la tierra. Imagine que las personas junto a él respiran para calentarlo con su aliento y aumentar su temperatura 1 grado Celsius. El tubo se hace más largo. También ya no queda ajustado. ¿A qué distancia sube sobre sobre el nivel del suelo? (solo tomar en cuenta la expansión radial al centro de la tierra, y aplicar la fórmula geométrica que relaciona la circunferencia C con el radio r: C= 2πr).
Answer:
82.76m
Explanation:
In order to find the distance of the steel ring to the ground, when its temperature has raised by 1°C, you first calculate the radius of the steel tube before its temperature increases.
You use the formula for the circumference of the steel ring:
[tex]C=2\pi r[/tex] (1)
C: circumference of the ring = 40000 km = 4*10^7m (you assume the circumference is the length of the steel tube)
you solve for r in the equation (1):
[tex]r=\frac{C}{2\pi}=\frac{4*10^7m}{2\pi}=6,366,197.724m[/tex]
Next, you use the following formula to calculate the change in the length of the tube, when its temperature increases by 1°C:
[tex]L=Lo[1+\alpha \Delta T][/tex] (2)
L: final length of the tube = ?
Lo: initial length of the tube = 4*10^7m
ΔT = change in the temperature of the steel tube = 1°C
α: thermal coefficient expansion of steel = 13*10^-6 /°C
You replace the values of the parameters in the equation (2):
[tex]L=(4*10^7m)(1+(13*10^{-6}/ \°C)(1\°C))=40,000,520m[/tex]
With the new length of the tube, you can calculate the radius of a ring formed with the tube. You again solve the equation (1) for r:
[tex]r'=\frac{C}{2\pi}=\frac{40,000,520m}{2\pi}=6,366,280.484m[/tex]
Finally, you compare both r and r' radius:
r' - r = 6,366,280.484m - 6,366,197.724m = 82.76m
Hence, the distance to the ring from the ground is 82.76m
Explanation:
Un tubo de acero de 40000 kilómetros forma un anillo que se ajusta bien a la circunferencia de la tierra. Imagine que las personas junto a él respiran para calentarlo con su aliento y aumentar su temperatura 1 grado Celsius. El tubo se hace más largo. También ya no queda ajustado. ¿A qué distancia sube sobre sobre el nivel del suelo? (solo tomar en cuenta la expansión radial al centro de la tierra, y aplicar la fórmula geométrica que relaciona la circunferencia C con el radio r: C= 2πr).
Which statement accurately describes this atomic spectrum? There is a horizontal rectangle with the colors of the rainbow from violet to red. There are lines in purple, blue, green and orange. The black lines represent the energy emitted by the electrons. The black lines represent the energy absorbed by the electrons. The colored lines represent the energy emitted by the electrons. The colored lines represent the energy absorbed by the electrons.
Answer:
The black lines represent the energy absorbed by the electrons.
Explanation:
Atoms emit lights when they are excited. These lights are of particular wavelengths that match with different colors. A series of colored lines appear along with spaces in the middle of the two colors. The middle of the colors is filled with dark spaces. Each spectral line of an element represents a specific characteristic of the element. These colored lines appearing in the form of series are termed to be the atomic spectrum of the element. Identification of the elements is done through the line of the spectrum they possess.
Answer:
(B) The black lines represent the energy absorbed by the electrons.
Explanation:
identify units for volts
Answer:
Volts itself is SI Unit of Electric Potential.
Explanation:
A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 499cm3499cm 3 of air at atmospheric pressure (1.01×105Pa)(1.01×10 5 Pa) and a temperature of 27.0∘C27.0 ∘C. At the end of the stroke, the air has been compressed to a volume of 46.2cm 346.2cm 3 and the gauge pressure has increased to 2.72×106Pa2.72×10 6Pa. Compute the final temperature.
Answer:
503°C
Explanation:
According to the given situation, the computation of the final temperature is shown below:
In this question we use the law of ideal gas i.e
pV = nRT
i.e
[tex]\frac{p_1V_1}{T_1} = \frac{p_2V_2}{T_2}[/tex]
Therefore
[tex]T_2 = T_1 (\frac{p_2}{p_1}) (\frac{V_2}{V_1})[/tex]
[tex]= 300\ k (\frac{2.72 \times 10^{6} Pa + 1.01 \times 10^{5} Pa}{1.01 \times 10^{5} Pa})(\frac{46.2 cm^3}{499 cm^3})[/tex]
= 776 k
= (776 - 273)° C
= 503°C
Therefore the final temperature is 503°C
We simply applied the above formulas so that the final temperature could arrive
An air-track glider of mass 0.25 kg moving at 0.60 m/s collides with and sticks to a glider of mass 0.50 kg at rest. How much kinetic energy is converted into other forms of energy as a direct result of this collision?
Answer:
0.03 Joules have been converted into other forms of energy as the direct result of the collision.
Explanation:
Let's start studying the conservation of momentum for the system:
[tex]P_i=P_f\\(0.25\,kg)\,{0.6\,m/s)+(0.5\,kg)\,(0\,m/s)=(0.25\,kg+0.5\,kg)\, v_f \\\\\\ 0.15\,kg\,m/s=0.75\,kg\,\,v_f\\v_f=0.15/0.75\,\,m/s\\v_f=0.2\,\,m/s[/tex]
Now that we know the speed of the newly created object, we can calculate how the final kinetic energy differs from the initial one:
[tex]K_i=\frac{1}{2} (0.25)\,(0.6)^2+\frac{1}{2} (0.5)\,(0)^2=0.045\,\,J\\ \\K_f=\frac{1}{2} (0.75)\,(0.2)^2=0.015\,\,J\\[/tex]
Then, when we subtract one from the other, we can estimate how much kinetic energy has been converted into other forms of energy in the collision:
0.045 J - 0.015 J = 0.03 J
What is the last step in creating an argumentative essay?
outlining
prewriting
researching
revising
Answer:
The answer is Revising
Answer:
D
Explanation:
Revising
The golf club is in contact with the golf ball for 1.8 ms and exerts a force of 1500 N on the golf ball. The mass of the golf ball is 0.045kg Calculate the velocity of the golf ball as it leaves the golf club. Velocity ______________ m/s Thank you :)
Answer:
Force x time = Impulse which is a change in momentum. You can then use this to find the velocity (as you know the ball's initial momentum is 0)
1500 x 1.8 x 10^-3 = 0.045v
v = (1500 x 1.8 x 10^-3)/0.045 = 60 ms^-1
Explanation:
The distance the ball travels is directly related to the force that is applied from the head of the golf club, the angle at which the force is applied, gravity, as well as air and wind resistance. The force of the club head on the ball causes the ball to compress and apply an equal amount of force on the club.
use ke=1/2mv^2 rearrange for V
The golf club is in contact with the golf ball for 1.8 ms and exerts a force of 1500 N on the golf ball. The mass of the golf ball is 0.045kg then the velocity of the golf ball as it leaves the golf club. Velocity 60 m/s
what is velocity ?Velocity can be defined as the rate at which the change in the position of the object with respect to time, it is mainly involve in speeding of the object in a specific direction.
Velocity is a vector quantity which shows both magnitude and direction and The SI unit of velocity is meter per second (ms-1), the change in magnitude or the direction of velocity of a body is said to be accelerating.
Finding the final velocity is simple but few calculations and basic conceptual knowledge are needed.
For more details regarding velocity, visit
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9.
A 0.060 kg tennis ball hits the wall horizontally. The moment the ball hits the wall it accelerates at a rate of – 752 m/s2. What is the force that the ball applied to the wall?
Answer:
force = 45.12N
Explanation:
f = ma
f = 0.06 x 752 = 45.12N