Let volume of empty boat be = 100% = 1V
and mass of boat be M
In water 10%, 0.1V of the volume is submerged.
Mass, m of 1200kg increases the submerging from 10%, 0.1V to 70%, 0.7V
M leads to 0.1V boat submerging
boat submerging.
M + 1200kg leads to 0.7V boat submerging.
This is 60%, 0.6 V increase
By comparison
(M+1200kg) * 0.1V = 0.7V * M
0.1M + 120kg = 0.7M
120kg = 0.7M - 0.1M
120kg = 0.6M
M = (120/0.6)kg
M = 200kg.
The mass of the boat is 200kg.
A concave mirror of focal length 10cm forms an inverted image of 40cm from the mirror and 4cm high. Determine the position and size of the object by scale drawing and by calculation
The equation of the constructor of the geomeric optics allows to find the results for the distance and size of the objects are:
Distance from the mirror to the object is: p = 13.3 cm The height of the object is: h = 1.33 cm
The equation of the constructor of geometric optics describes the position of objects and their images for mirrors and lenses.
[tex]\frac{1}{f} = \frac{1}{p} + \frac{1}{q}[/tex]
Where f is the focal length, p and q are the distances to the object and the image, respectively.
They indicate the focal length f = 10 cm, the distance to the image q = 40 cm, that the height s h ’= 4 cm. In the attachment we see a scheme of the system.
Let's find the distance to the object.
[tex]\frac{1}{p\frac{x}{y} } = \frac{1}{f} - \frac{1}{q} \\\frac{1}{p} = \frac{1}{10} - \frac{1}{40}\\\frac{1}{p} = 0.075[/tex]
p = 13.3 cm
The magnification in the ratio of image size to object size. The image is inverted so its height is negative.
[tex]m = \frac{h'}{h} = - \frac{q}{p}\\h = - \frac{p}{q} \ h'\\h = - \frac{13.3}{40}\ (-4)[/tex]
h = 1.33 cm
In conclusion using the equation of the constructor we can find the results for the distance and size of the objects are:
Distance from the mirror to the object is 13.3 cm The height of the object is 1.33 cm
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6tyhfdytythftyhyhfytfyht
Answer:
Six is the only number that is both the sum and the product of three consecutive positive numbers.
Explanation:
A 250 g sample of water with an initial temp of 98.8 c loses 7500 joules of heat. What is the final temperature of the water?
The final temperature of the water is 106.0 °C
From the question,
We are to determine the final temperature of water.
From the formula
Q =mcΔT
Where Q is the quantity of heat
m is the mass of substance
c is the specific heat capacity of substance
and ΔT is the change in temperature
Also,
ΔT = T₂ - T₁
Where T₂ is the final temperature
and T₁ is the initial temperature
Then, the formula can be written as
Q =mc(T₂ - T₁)
From the question
Q = 7500 J
m = 250 g
T₁ = 98.8 °C
Putting the parameters into the formula, we get
7500 = 250 × 4.184 (T₂ - 98.8)
(NOTE: specific heat capacity of water, c,= 4.184 J/g °C)
7500 = 1046 (T₂ - 98.8)
7500 = 1046T₂ - 103344.8
Then,
1046T₂ = 7500 + 103344.8
1046T₂ = 110844.8
∴ T₂ = 110844.8 ÷ 1046
T₂ = 105.9701 °C
T₂ ≅ 106.0 °C
Hence, the final temperature of the water is 106.0 °C.
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Problem 4:
A body fell vertically from the top of a tower. It covered 123.1 m in the final two seconds
before hitting the ground. Determine the height of the tower rounding your answer to the
nearest two decimal places. Let the acceleration due to gravity g=9.8 m/s2.
Answer:
v2^2 - v1^2 = 2 g s fundamental formula
v2 = v1 + 2 g = v1 + 19.8 increase in velocity in 2 sec
v1^2 + 39.6 v1 + 392 - v1^2 = 2 * 9.8 * 123.1 = 2412.76
v1 = (2412.76 - 392) / 39.6 = 51.03
v2 = 51.03 + 19.6 = 70.63
T = 70.63 / .8 = 7.207 sec time to fall height of tower
S = 1/2 g T^2 = 4.9 * 7.207^2 = 254.5 m
(Note v2^2 - v1^2 = 70.63^2 - 51.03^2 = 2385 m
2385 / (2 * 9.8) = 122 m (close to 123.1 as was given
a constant current flows in the conductor with a magnitude of 1.6 mA. Calculate the charge and number of electrons transferred through the straight cross-section of the conductor in 1 hour.
[tex]\\ \sf\longmapsto I=\dfrac{Q}{t}[/tex]
[tex]\\ \sf\longmapsto Q=It[/tex]
[tex]\\ \sf\longmapsto Q=0.0016(3600)[/tex]
[tex]\\ \sf\longmapsto Q=5.76C[/tex]
P1= 100 kPa
V1= 5 L
T1= 300 degrees Kelvin
P2=100 kPa
V2= ? L
T2= 350 degrees Kelvin
Explanation:
using Charles law; since the pressure is constant
V1/T1 = V2/T2
5/300 = V2/350
cross multiply
V2 X 300 = 5 X 350
V2 = 1750/300
V2 = 5.833L
A spanner is used to undo a nut. The spanner has already turned 30° from the horizontal. A vertical force of 50 N is applied 0.3 m from the centre of the nut. Calculate the turning effect of the force, please show the calculation thank you :)
Answer:
19.4Nm..............
Vector A has a magnitude of 8.0 m and points 30 degrees north of east; vector B has a magnitude of 6.0 m and points 30 degrees west of north; and vector C has a magnitude of 5.0 m and points 30 degrees west of south. The resultant vector A + B + C is given by:
A) 2.1 m at an angle 66 degrees east of north.
B) 5.9 m at an angle 74 degrees north of east.
C) 2.7 m at an angle 74 degrees north of east.
D) 5.1 m at an angle 74 degrees north of east.
E) 4.8 m at an angle 74 degrees east of north.
The resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.
To find the resultant vector A + B + C, we need to break down each vector into its horizontal (x) and vertical (y) components, and then add them together.
Given:
Vector A: magnitude = 8.0 m, angle = 30 degrees north of east
Vector B: magnitude = 6.0 m, angle = 30 degrees west of north
Vector C: magnitude = 5.0 m, angle = 30 degrees west of south
Let's calculate the x and y components for each vector:
For Vector A:
A_x = 8.0 m × cos(30°)
A_x = 8.0 m × 0.866
A_x ≈ 6.928 m
A_y = 8.0 m × sin(30°)
A_y = 8.0 m ×0.5
A_y = 4.0 m
For Vector B:
B_x = 6.0 m × sin(30°)
B_x = 6.0 m × 0.5
B_x = 3.0 m
B_y = 6.0 m × cos(30°)
B_y = 6.0 m × 0.866
B_y ≈ 5.196 m
For Vector C:
C_x = 5.0 m × sin(30°)
C_x = 5.0 m ×0.5
C_x = 2.5 m
C_y = 5.0 m × cos(30°)
C_y = 5.0 m × 0.866
C_y ≈ 4.33 m
Now, let's add up the x and y components:
Resultant x component = A_x + B_x + C_x
Resultant x component = 6.928 m + 3.0 m + 2.5 m
Resultant x component ≈ 12.428 m
Resultant y component = A_y + B_y + C_y
Resultant y component = 4.0 m + 5.196 m + 4.33 m
Resultant y component ≈ 13.526 m
Finally, we can find the magnitude and angle of the resultant vector:
Resultant magnitude = sqrt((Resultant x component)² + (Resultant y component)²)
Resultant magnitude = sqrt((12.428 m)^2 + (13.526 m)^2)
Resultant magnitude ≈ 18.015 m
Resultant angle = arctan(Resultant y component / Resultant x component)
Resultant angle = arctan(13.526 m / 12.428 m)
Resultant angle ≈ 48.413°
Considering the answer choices provided:
A) 2.1 m at an angle 66 degrees east of north.
B) 5.9 m at an angle 74 degrees north of east.
C) 2.7 m at an angle 74 degrees north of east.
D) 5.1 m at an angle 74 degrees north of east.
E) 4.8 m at an angle 74 degrees east of north.
The closest match to our calculated result is:
D) 5.1 m at an angle 74 degrees north of east.
Therefore, the resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.
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Given w= 4+,- 0.02 A=2.0+,-0.2 and 3.0+,-0.6 what is the value of w\ A y square
Explanation:
w = (4.52 ± 0.02) cm, x = ( 2.0 ± 0.2) cm, y = (3.0 ± 0.6) cm. Find z = x + y - w and its uncertainty.
z = x + y - w = 2.0 + 3.0 - 4.5 = 0.5 cm
Dz = Dx + Dy + Dw = 0.2 + 0.6 + 0.02 = 0.82 rounding to 0.8 cm
So z = (0.5 ± 0.8) cm
Solution with standard deviations, Eq. 1b, Dz = 0.633 cm
z = (0.5 ± 0.6) cm
Notice that we round the uncertainty to one significant figure and round the answer to match.
Use the picture to answer the question.
Name at least three physical properties of the bowling
ball.
1
Answer:
I need the picture to amswer the question thay's why it says " "
What is the correct answer and try to explain if can.
Answer:
C. Electrical
Explanation:
C because the lamp is plugged into a "Electrical" outlet meaning it uses electrical energy to produce light 'pls can i have brainliest i need it for my goal'
In a salt solution, salt is a solute. why
Answer: Because it can dissolve in water
Explanation: Logic
Apply Newton’s second law to calculate the frictional force needed to hold a 15 g pen in your fingers and keep it from falling
Answer:
0.1962N.
Explanation:
Weight is a force, so we use newtons second law which states F=ma. So the weight of a watermelon on earth is 2kg x 9.81m/s², which is 19.62N (newtons). On the moon it weighs 2 x 1.63 which is 3.26N.
The weight of the pen is 0.02 x 9.81, which is 0.1962N. If the pen is not to fall the frictional force needs to be equal to this force,
so the answer is 0.1962N.
(Hope this helps can I pls have brainlist (crown)☺️)
Help me pleaseee
in what way does the tools, equipment and paraphernalia help us in our lives
Help me pleaseee :( today is our last day pleaseee (Please dont answer if you dont know).
Answer:
They can help us in our daily lives
Explanation:
I knew that they can also be a help to others specially in other ways such as to help us to facilitate our work in home
Guide Questions:
1. What is the speed of sound at the lowest temperature? __________________
2. What is the speed of sound at the highest temperature? _________________
3. At which temperature the speed of sound slowest? _____________________
4. At which temperature the speed of sound fastest? _____________________
5. Does temperature affect the speed of sound? Explain ___________________
Answer:
1- 330.4m/s
2-358.0m/s
3- -1c
4- 45c
5- when temperature increase speed of sound will increase
1. The speed of sound at the lowest temperature in the image is 330.4 m/s.
2. The speed of sound at the highest temperature in the image is 358.0 m/s.
3. The temperature at which the speed of sound is slowest is -1°C.
4. The temperature at which the speed of sound is fastest is 45°C.
5. Yes, temperature affects the speed of sound.
The image shows the relationship between temperature and speed of sound in air. The x-axis of the graph shows the temperature in degrees Celsius, and the y-axis shows the speed of sound in meters per second. The line on the graph shows that the speed of sound increases with temperature. For every 1 degree Celsius increase in temperature, the speed of sound increases by about 0.6 m/s.
The speed of sound in air is also affected by other factors, such as humidity and air pressure. However, temperature is the most important factor affecting the speed of sound.
The speed of sound at the lowest temperature in the image is 330.4 m/s, which is at -1°C.
The speed of sound at the highest temperature in the image is 358.0 m/s, which is at 45°C.
The temperature at which the speed of sound is slowest is -1°C.
The temperature at which the speed of sound is fastest is 45°C.
Yes, temperature affects the speed of sound. The speed of sound increases with temperature. This is because the molecules of a medium vibrate faster at higher temperatures, and this allows sound waves to travel more quickly.
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When a 12 newton horizontal force is applied to a box on a horizontal
table top, the box remains at rest. The force of static friction acting on
the box is .....
The force of static friction acting on the box is greater than the applied horizontal force.
Force is known to be the reason for motion according to Newton's first law of motion. An object will move when it has been acted upon by an external force.
In this case, a box lying on a table has been acted upon by an external force of 12 newton but the box remains at rest. This simply means that the applied force is less than the force of static friction acting on the box.
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in each of five scenarios, a 1 kg mass is attached to the end of a massless stick by a massless string. each stick is motionless. rank the torques acting on each stick due to the tension in the attached string. take the axis of rotation in each case to be the end of the stick opposite the string.
Answer:
C=A>B>E>D
Explanation:
An object is known to have balanced forces on it. Which of the following would be a true statement?
If an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.
If the forces acting on an object is balanced, it means that the net force acting on the body is zero.
According to Newton's law of motion, an object will continue in a state of motion in a straight line unless acted upon by an external force.
This external force might be a balanced or unbalanced force. Hence if an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.
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Find out fastest to slowest will give brainlesa
Answer:
The fastest thing in the universe is the speed of light, the slowest is a hypothetical object that isn't moving relative to the entire universe.
How can you return a negatively or positively charged object back to its neutral state?
[tex]\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}[/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{For Positively Charged:}[/tex]
By gaining electrons from the ground, the object will have a balance of charge and therefore be neutral. Grounding is the grounding of a positively charged object and involves the transfer of electrons from the ground into the object.
[tex]\huge\underline\mathtt\colorbox{red}{For Negatively Charged:}[/tex]
If it is to have its charge removed, then it will have to lose its excess electrons. Once the excess electrons are removed from the object, there will be equal numbers of protons and electrons within the object and it will have a balance of charge.
por favor ayuda que ejercicio debo hacer para enflacar en una semana xd
Answer:
Un excelente ejercicio para perder barriga rápidamente es correr, ya que el cuerpo gasta una mayor cantidad de calorías en un corto período de tiempo, en tan sólo 30 minutos corriendo se queman unas 300 calorías.
...
Qué ejercicios realizar
Correr. ...
Clase aeróbica. ...
Saltar cuerda. ...
Bicicleta. ...
Caminar rápido. ...
Natación.
Explanation:
dame coronita por favor
calculate the magnitude of the effort in the given
A shopper walks westward 5.4 meters and then eastward 7.8 meters
Answer:
13.2 meters
Explanation:
(5.4) + (7.8)
A plant dying after being exposed to poison represents a physical change.
True or false. (No links please.) Correct answers only..
Answer:
False is the correct answer.
It is considered more of a chemical change because all of the cells inside the plant decompose (change chemicaly)
Answer:
False
Explanation:
saw this on another brainly question, it's because a flower that becomes a poisonous flower would be a chemical change. If it were to mix with the poison it would just become something new entirely.
a car travels at a uniform speed of 30 km per hour for 30 mins and then at a uniform speed of 60 km per hour for the next 30 minutes calculate the average speed of a car
Why is the oort cloud important for understanding the formation of the solar system?
The Oort cloud is the proximate source of observed nearly parabolic, so-called 'new' comets entering the planetary region, and is also the presumed source of the long-period comet flux and the majority of Halley-type comets (HTCs).
The oort cloud is important for understanding the formation of the solar system.
What is oort cloud?It is believed to be an important source of comets that can provide valuable information about the conditions and processes that were present in the early solar system.
Here,
The Oort Cloud is important for understanding the formation of the solar system because it is believed to be a reservoir of icy bodies that formed early in the solar system's history. These icy bodies, which include comets, are thought to have played a key role in the early evolution of the solar system by delivering water and other volatile materials to the inner solar system, including the early Earth.
By studying the composition and properties of comets from the Oort Cloud, scientists can gain insights into the formation and evolution of the solar system and learn more about the conditions that were present in the early solar system.
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the emission of electrons from metals that have absorbed photons is called the
Answer:
The answer to your question is the Photoelectric effect.
Explanation:
Based on the table, what is the advantage for using 16-inch spacing compared to 24-
inch spacing?
A. At a given load, the 16-inch spacing can support a smaller span
B. At a given load, the 16-inch spacing can support a larger span
C. At a given load, the 16-inch spacing requires less construction time
D. At a given load, the 16-inch spacing requires less construction costs
The advantage for using 16-inch spacing is that ; ( B ) At a given load, the 16-inch spacing can support a larger span
The spacing along a span in construction engineering is determined by the amount and mass of load the span will either carry or support during and after construction.
A smaller span spacing can support a given load more efficiently than a larger span spacing because when the spacing is smaller it can support a larger span better than a larger span spacing.
Hence we can conclude that the advantage for using 16-inch spacing is that At a given load, the 16-inch spacing can support a larger span.
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Using the Position vs. time Graph below, showing the motion of two cyclists (Cyclist A and Cyclist B) answer the following question.Do the two cyclists have the same velocity at t = 3 seconds?
Using the information depicted on the distance - time graph, the slope of the graph is could be used to infer the velocity of each cyclist. Hence, cyclist A and B do not have the same velocity at 3 seconds.
The steepness of slope on the distance - time graph gives the velocity of the cyclist. At time, t = 0 ; the cyclist A has a greater slope than cyclist B. Hence, the velocity of the cyclists is different.
Therefore, the cyclists do not have the same velocity at time, t = 3 seconds.
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A object was fired at 17ms at 40 degree angle horizontal , if object traveled 29meters how long was it in the air