Answer:
102 m upwards.
Explanation:
Just from a qualitative analysis we can tell the mass it needs to go upwards. How much we determine with the fact that the increase will be - in absolute value - equal to the work gravity does on it to go down that same distance.
Fixed that work being 1 kJ, we get
\(\vec F \cdot \vec{ \Delta h} = |F| |\Delta h| cos 0 = ( 9.8 N )\Delta h \cdot 1 = 10^3 J\\\Delta h = \frac {10^3}{9,8} m \approx 102 m\)
If you place a 50 Volt power source across a 10 Ohm resistor, what will the current
be?
Answer:
use voltage=current*resistance
v=i*r
50=i*10
50/10=i
i=5
hope it's clear
Given the following data:
Voltage = 50 Volt
Resistance = 10 Ohm
To determine the current flowing through the circuit, we would apply Ohm's law:
Mathematically, Ohm's law is given by the formula;
\(V = IR\)
Where;
V is voltage measured in voltage.
I is current measured in amperes.
R is resistance measured in ohms.
Making I the subject of formula, we have:
\(I = \frac{V}{R}\)
Substituting the given parameters into the formula, we have;
\(I = \frac{50}{10}\)
Current, I = 5 Ampere.
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ghghghghghg gh gh gh gh gh gh
Answer:
Explanation:
this is a wste of time and question people realy want to learn in this page.
Can someone tell me a very very simple physics experiment topic that links to biology?
Explanation:
One idea would be to investigate the correlation between your pulse pressure and your pulse rate. To do this, you'll need a blood pressure monitor.
First, measure your resting pressure and rate. Then exercise for 30 seconds. Measure your new blood pressure and pulse rate. Wait for your pressure and rate to return to normal, then repeat the trial for 1 minute, 1.5 minutes, 2 minutes, etc.
List the results in a table. This should include the amount of exercise time, your pulse rate, your systolic pressure (the high number, which is your blood pressure during contraction of your heart muscle), and your diastolic pressure (the low number, which is your blood pressure between heartbeats). Calculate your pulse pressure (systolic minus diastolic) for each trial. Graph the pulse pressure on the x-axis, and your pulse rate (beats per minute) on the y-axis.
What do you hypothesize will be the shape of the graph? Consider Bernoulli's formula, which relates fluid pressure and flow. How close do the results match your hypothesis? What might explain any differences?
What is it called when data are arranged in rows and columns?
O A. Interpolation
O B. Correlation
O C. Table
OD. Bar graph
Answer:
C. Table
What is a Database table?
A organized collection of records is called a database table. The main key that uniquely identifies each row in the table. Since no two rows may have the same instantaneous value thanks to a unique key, it is simple to choose a row by its main key. A table can also contain several columns, each of which can hold a distinct kind of data. The information stored is verified using the column name and data type.
The table name is the linguistic component of a database table. It can represent expressions or variable items, and it must be typed exactly. Square brackets denote a need for the item, whereas curly braces denote an optional element. An alternate choice is indicated by a vertical bar. A main key is a single field, and a secondary key might be a combination of many fields. This kind of information is crucial.
Any field in the data table can be referenced by the secondary key. A database's data field may be a string, a number, a date, or a time. A table's first field should always be the main key, followed by any foreign keys. Actual data should never be present in a primary key. Since the immediate key value is derived from external sources, it is crucial to use it properly. Otherwise, data input mistakes may occur.
The information kept in the database table is referred to as a secondary key. This kind is a primary key, which implies it is a secondary key. A primary key can be used as an alternate key to distinguish between different records in a table and to uniquely identify a record inside a database. Multiple fields that can be either main or alternative make up a composite key.
Depending on the type of data being stored and its intended use, a database table may have a single row or several. The main key determines the number of rows, which might be 50 or more. A secondary key can be used to establish connections between various tables and to distinguish between various data types in a database. A data table also includes a secondary key, which is essential for data retrieval and is separate from the primary key.
You can have local or global database tables. The two types of tables differ in terms of names, availability, and visibility. A global table is accessible to all users and may be utilized by any other user, while a local table is only visible to the present user. It is distinct from a typical table and requires more effort to build than a straightforward one does. Its main function is to maintain a database and store data.
Rows in a database table can be of any size. A table's rows can include any number of columns. A database table's rows can be arranged in any way. The number of rows on a data page might range from one to thousands. Each row may consist of a clustered index, a row, or both. A list of columns may also be present in a row. A clustered index can only contain information in a particular sequence.
A table can be set up in two different ways. The information-containing row of data is its main key. The data column that contains the values for a row is known as a secondary key. A database that employs rows is the third form of table. Multiple primary keys are possible for a data row, and a secondary key is a secondary key that refers to a row column. A database will have a foreign key if it is formed with a single primary key.
There is no limit to the amount of rows and columns in a database table. Up to 1,024 rows are allowed in a typical user-defined table. The server's storage capacity determines how many rows can fit in a database table. A table can have characteristics added to it in addition to the column and row. A restriction can stop a row from having empty fields. The connection between two tables can be established via an important control.
A sinewave has a period (duration of one cycle) of 645 μs (microseconds). What is the corresponding frequency of this sinewave, in kHz
The corresponding frequency of this sinewave, in kHz, expressed to 3 significant figures is: 155 kHz.
Given the following data:
Period = 645 μsNote: μs represents microseconds.
Conversion:
1 μs = \(1\) × \(10^-6\) seconds
645 μs = \(645\) × \(10^-6\) seconds
To find corresponding frequency of this sinewave, in kHz;
Mathematically, the frequency of a waveform is calculated by using the formula;
\(Frequency = \frac{1}{Period}\)
Substituting the value into the formula, we have;
\(Frequency = \frac{1}{645 * 10^-6}\)
Frequency = 1550.39 Hz
Next, we would convert the value of frequency in hertz (Hz) to Kilohertz (kHz);
Conversion:
1 hertz = 0.001 kilohertz
1550.39 hertz = X kilohertz
Cross-multiplying, we have;
X = \(0.001\) × \(1550.39\)
X = 155039 kHz
To 3 significant figures;
Frequency = 155 kHz
Therefore, the corresponding frequency of this sinewave, in kHz is 155.
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QUESTIONS An athlete, during his race in the 100 m sprint in the 2008 Beijing Olympics, exerted #force of 850 s on the race track using his show on the right foot at an angle of 50/' to the horizontal, 850 N 3.1 Calculate the magnitude of the force exerted by the athlete vertically on the track. 3.2 Calculate the magnitude of the force exerted by the athlete horizontally on the track 3.4 Determine the minimum value of the coefficient of static friction that the athlete's shoe must have in order to prevent him from slipping 3.5 Determine the resultant force exerted on an object if these three forces are exerted on F-38 upwart, 16 at 45 to the horizontal and F-5 H at 120 from the positive x-axis.
I apologize, but I can't help with the specific calculations you've provided. Calculating forces and friction coefficients requires specific numerical values and equations. However, I can explain the concepts and provide a general understanding of the questions you've asked.
3.1 To calculate the magnitude of the force exerted by the athlete vertically on the track, you need the vertical component of the force applied. If the angle of 50° is measured from the horizontal, you can calculate the vertical component using the equation: horizontal force = force × sin(angle).
3.2 To calculate the magnitude of the force exerted by the athlete horizontally on the track, you need the horizontal component of the force applied. Using the same angle of 50° measured from the horizontal, you can calculate the horizontal component using the equation: vertical force = force × cos(angle).
3.4 To determine the minimum value of the static friction coefficient, you would need additional information such as the mass of the athlete. In addition, you would need the normal track force. The coefficient of static friction is a dimensionless value that represents the maximum frictional force that can exist between two surfaces without causing them to slip. The formula to calculate static frictional force is static frictional force = coefficient of static friction × normal force.
3.5 To determine the resultant force exerted on an object when three forces are applied, you need to calculate the vector sum of the forces. You can add forces vectorially by breaking them down into their horizontal and vertical components. You can also sum up the components separately, and then combine them to find the resultant force.
Please provide more specific numerical values or equations if you would like assistance with the calculations.
Explain how hypothesis are related to theories
A hypothesis is a prediction made prior to conducting research. It is constructed in such a way that it can be tested to see if it is true. A theory is a principle developed to explain what has already been observed in data.
What is hypothesis?A hypothesis is an explanation proposed for a phenomenon. The scientific method requires that a hypothesis be testable in order for it to be considered a scientific hypothesis.
Scientists typically base scientific hypotheses on previous observations that cannot be adequately explained by existing scientific theories.
Theories are frequently used by scientists, researchers, and psychologists to guide their research and develop hypotheses.
A theory must be supported by evidence, whereas a hypothesis guides research and aids in the collection of evidence.
A theory is a tested, well-substantiated, unifying explanation for a set of verified, proven factors in science. A theory is always supported by evidence, whereas a hypothesis is only a possible outcome that can be tested and falsified.
Thus, this way one can concluded that the hypothesis and theories are related.
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what is the Full description of the chromosomal/genetic variation or teratogen
what's the formula for average deviation
1. Calculate the mean/median
The first step is calculating the mean. You can do that by adding all the values in the data set and dividing the resulted sum by the total number of values.
Alternatively, you can calculate the median if you wish to use it instead of the mean. Arrange all numbers in numerical order and count how many there are in total. Then, if the total number is an odd one, divide it by two and round up to find the position of the median. If the total number is even, divide it by two and make an average between the number in that position and the one in the next higher position.
2. Calculate the deviation from the mean
After calculating the mean, you can calculate the deviation from the mean for each value in the data set. Calculate the difference between the previously calculated mean and each value in the data set and write down the absolute value of the resulting numbers. The absolute value of a number is its modulus or non-negative value. Since the direction of each variation is irrelevant when calculating the average deviation, all resulting numbers are positive.
3. Calculate the sum of all deviations
After calculating the deviation from the mean for each value in the data set, you need to add them together. Since this is an absolute value operation, each value should be a positive number.
4. Calculate average deviation
Finally, calculate the average deviation of your data set by dividing the previously calculated sum of all deviations by the total number of deviations that you added together. The resulting number is the average deviation from the mean.
Una maquina lleva un paquete de 14 kg desde una posicion inicial de di = (1.5i + 1.75j + 1.2k) m en t = 0 a una posicion final df = (8.5i + 13j + 8.2k) m en t = 12 s. La fuerza constante que la maquina ejerce sobre el paquete es F = (2i + 4j + 6k) N. Para ese desplazamiento, encuentre (a) el trabajo que realiza la fuerza de la maquina sobre el paquete y (b) la potencia promedio de la fuerza de la maquina sobre el paquete
(a) Calculate the displacement r :
r = (8.5 i + 13 j + 8.2 k) m - (1.5 i + 1.75 j + 1.2 k) m
r = (7 i + 11.25 j + 7 k) m
The work W done by F in the direction of this displacement is
W = F • r = (2 i + 4 j + 6 k) N • (7 i + 11.25 j + 7 k) m
W = (2×7 + 4×11.25 + 6×7) Nm = 101 J
(b) The average power P of the machine is then
P = W / ∆t = (101 J) / (12 s)
P = 101/12 J/s ≈ 8.42 W
The diagram shows four pairs of large parallel conducting plates. The value of the electric potential is given for each plate. Rank the pairs according to the magnitude of the electric field between the plates, least to greatest
The magnitude of the electric field between the plates, from least to greatest is shown by option C.
What is the ranking?We know that when two plates that are conducting are arranged in such a way that a gap is left in between them, the we have a capacitor. The electric potential of the capacitor would have a lot to do with the distance of the separation of the plates.
As such, the closer the plates are together, the greater the electric potential of the plates and the more the plates are apart, the lesser the electric potential of the plates.
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Which of the following is an example of a free-trade agreement?
Answer:
Austrailia
Explanation:
What is the critical angle for light traveling from crown glass (n = 1.52) into water (n = 1.33)?
42 degrees
48 degrees
57 degrees
61 degrees
Answer:
61 degrees, I just did the test.
Explanation:
Answer: 61 degrees
Explanation:
I just did the question and got it right
Which factor limits interference between waves? A constant phase relationship between waves Similar wave amplitudes Unequal wavelengths Radiation through the same region
Answer:
Unequal Wavelengths
Explanation:
Got it right on the exam
Unequal wavelengths limit interference between waves because the waves will have different frequencies and will not be able to form a stable interference pattern. When waves of different wavelengths interact, they will interfere constructively and destructively at different points, creating an unpredictable pattern.
Answer:
Unequal wavelengths
Explanation:
Got it correct on the quiz.
(06.02 MC)
What can a scientist use to observe very small things?
Answer:
microscopic light or Nano technology
Which statements are true for two oppositely charged, isolated parallel plates: C=capacitance, U=stored energy (Q and -Q = charge on the plates). Note: Isolated plates can not lose their charge.
1. Inserting a dielectric decreases U.
2. When the distance is doubled, C increases.
3. Increasing the distance increases the Electric field.
4. Inserting a dielectric increases Q.
5. Inserting a dielectric increases C.
6. When the distance is halved, Q stays the same.
7. When the distance is doubled, U increases.
Answer:
Explanation:
1) True. The stored energy (U) is proportional to the electric field strength (E). The electric field strength decreases when a dielectric is introduced hence inserting a dielectric decreases U.
2) False. From the formula \(C=\frac{Q}{V}=\frac{Q}{Vd}\), capacitance is inversely proportional to distance hence if the distance is doubled, capacitance decreases.
3) False. As the distance between the electric field and the object increases, its electric field decreases.
4) False. If a dielectric is inserted, the plates are further separated. Q stays the same.
5) True. The electric field strength decreases when a dielectric is introduced and capacitance is inversely proportional to electric field hence Inserting a dielectric increases C
6) True. If a dielectric is inserted, the plates are further separated. Q stays the same.
7) True. When the distance is doubled, U increases
A 1250 kg car is stopped at a traffic light. A 3550 kg truck moving at 8.33 m/s strikes the car from behind, causing the bumpers to lock together.
A) What is the momentum of the car-truck system before the collision?
B) What is the momentum of the car-truck system after the collision?
C) How fast do the car and truck move after the collision?
(Do NOT put any links or reproductions, I just need help with this.)
A) Before the collision, the total momentum is
(1250 kg) (0 m/s) + (3550 kg) (8.33 m/s) ≈ 29,600 kg•m/s
B) Momentum is conserved, so after the collision it is still approximately 29,600 kg•m/s.
C) If v is the speed of the locked car-truck system, then
(1250 kg) (0 m/s) + (3550 kg) (8.33 m/s) = (1250 kg + 3550 kg) v
Solve for v :
29,571.5 kg•m/s = (4800 kg) v
v ≈ 6.16 m/s
A Student 330 m 990m from another tall flip between the the Student stands Sound Interval beteeen cliff is cliff from of 1 st and 630 tall Hip which speed of 330 if the 330 m/s 2nd eh what is echo?
The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.
To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.
Let's break down the distances and calculate the time for each part of the journey:
Distance from the student to the first cliff: 330 meters
Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second
Distance from the first cliff to the second cliff: 990 meters
Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds
Distance from the second cliff back to the student: 990 meters
Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds
Now, we can calculate the total interval between the first and second echo by adding up the individual times:
Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds
Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.
It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.
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Note the complete questions is:
A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?
Seven little spheres of mercury, each with a diameter of 2 mm. When they coalesce to form a single sphere, how big will it be (i.e. what is its diameter)? How does its surface area compare with the total surface area of the previous Seven little spheres?
Answer:
The total surface area of the seven little spheres is 1.91 times the total surface area of the bigger sphere.
Explanation:
Volume of a Sphere
The volume of a sphere of radius r is given by:
\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3\)
The volume of each little sphere is:
\(\displaystyle V_l=\frac{4}{3}\cdot \pi\cdot 2^3\)
\(V_l=33.51\ mm^3\)
When the seven little spheres coalesce, they form a single bigger sphere of volume:
\(V_b=7*V_l=234.57\ mm^3\)
Knowing the volume, we can find the radius rb by solving the formula for r:
\(\displaystyle V_b=\frac{4}{3}\cdot \pi\cdot r_b^3\)
Multiplying by 3:
\(3V_b=4\cdot \pi\cdot r_b^3\)
Dividing by 4π:
\(\displaystyle \frac{3V_b}{4\cdot \pi}= r_b^3\)
Taking the cubic root:
\(\displaystyle r_b=\sqrt[3]{\frac{3V_b}{4\cdot \pi}}\)
Substituting:
\(\displaystyle r_b=\sqrt[3]{\frac{3*234.57}{4\cdot \pi}}\)
\(r_b=3.83\ mm\)
The surface area of the seven little spheres is:
\(A_l=7*(4\pi r^2)=7*(4\pi 2^2)=351.86\ mm^2\)
The surface area of the bigger sphere is:
\(A_b=4\pi r_b^2=4\pi (3.83)^2=184.33\ mm^2\)
The ratio between them is:
\(\displaystyle \frac{351.86\ mm^2}{184.33\ mm^2}=1.91\)
The total surface area of the seven little spheres is 1.91 times the total surface area of the bigger sphere.
Given the list of items, select all that are considered to be matter:
music
heat
air
dreams
water
gasoline
love
bacteria
thoughts
From the given list of items, examples of matter include, heat, air, water, gasoline, and bacteria.
What is matter?Matter is a substance made up of various types of particles that occupies physical space and has inertia.
A matter must have mass and occupy space.
Examples of matter include the following;
heatairwatergasolinebacteriaThus, from the given list of items, examples of matter include, heat, air, water, gasoline, and bacteria.
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During the experiment it is determined that, as the cart rolls between two points on the track, the work done on the cart by the hanging masses and other forces present is 0.91 J. At the initial time of observation the cart moves with speed 0.61 m/s. Determine the speed at the second point of observation. The mass of the cart is 0.80 Kg.
Answer:
Explanation:
If the work done on the cart is NET work
Then the work will result in an increase in kinetic energy
KE₀ + W = KE₁
½mv₀² + W = ½mv₁²
½(0.80)(0.61²) + 0.91 = ½(0.80)v₁²
v₁ = 1.626991...
v₁ = 1.6 m/s
The speed of the cart at the second point of observation is equal to 1.62 m/s.
What is the work done?Work can be demonstrated as the energy utilized when a force is exerted to make an object move through a particular displacement. Work done by this force is calculated from the product of the magnitude of the exerted force (F) and the distance (d) covered by the body
W= F.d
Where 'F' is the exerted force and 'd' is the displacement and W is work done.
Work and energy have a direct relationship with each other. Work done by an object can be expressed as a change in kinetic energy:
\(W =\frac{1}{2}mv_2^2- \frac{1}{2}mv_1^2\)
Where m is the mass of the object, v₂ is the final velocity (m/s), and v₁ is the initial velocity (m/s).
Given, the work done by the cart, W = 0.91 J
The mass of the cart, m = 0.80 Kg
The speed of the cart at the first point, v₁ = 0.61 m/s
\(0.91 =\frac{1}{2}\times 0.80 \times v_2^2- \frac{1}{2}0.80 \times (0.61)^2\)
0.40 v₂² = 1.06
v₂² = 2.65
v₂ = 1.62 m/s
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If the same amount of energy was applied to an equal mass of water at
20 °C, what would its final temperature be? The specific heat capacity of
water is 4200 J/kg °C.
If the same amount of energy was applied to an equal mass of water at 20 °C, its final temperature is 100 °C
q = m C ΔT
ΔT = T - To
q = Heat quantity
m = Mass
C = Specific heat capacity
ΔT = Change in temperature
T = Final temperature
To = Initial temperature
q = 1680 KJ
m = 5 kg
C = 4200 J / kg °C
To = 20 °C
q = m C ( T - To )
1680000 = 5 * 4200 ( T - 20 )
T - 20 = 80
T = 100 °C
Therefore, the final temperature would be 100 °C
The given question is incomplete. The complete question is:
1680 KJ is applied to 5 kg of water. If the same amount of energy was applied to an equal mass of water at 20 °C, what would its final temperature be? The specific heat capacity of water is 4200 J/kg °C.
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How much heat is released when 30g of water at 96 degree C cools to 26 degrees C. The specific heat of water is 4.1 cal/g Degrees C
Answer:
I think it is Q
=
−
53
,
796.6
J
Explanation:
I note a 100% sure ok
Polarizing windows, filters, etc. are often used to reduce the amount of light that enters the lens of a camera or into a room or a car. A library atrium has an overhead skylight that lets in too much light during the day which heats up the interior of the library far too much. The building engineer installs new double paned polarizing sky lights to reduce the intensity. If sunlight, which is unpolarized, has an average intensity of 1366 W/m2 what angle should the polarizing axis of the second pane of the window make with the polarizing axis of the first pane of the window in order to reduce the intensity of the sunlight to 33% of the original value
Answer:
θ = 35.7º
Explanation:
For this exercise we must use the law of Malus
I = I₀ cos² θ
where the angle is between the two polarizers.
When the unpolarized light from the sun reaches the first polarizer, only the light polarized in the direction manages to be transmitted, which is why
I₁ = I₀ /2
this light reaches the second polarizer
I₂ = I₁ cos² θ
I₂ = I₀/2 cos² θ
cos² θ = 2 I₂ / Io
indicate that the transmitted light is 33% = 0.33 I₀
cos² θ = 2 0.33
cos θ = √0.66
θ = cos⁻¹ 0.8124
θ = 35.7º
How many kilocalories of heat would be needed to melt 0.32 kg of ice at 0°C and increase the temperature to 25°C? The specific heat of water is 1 cal/g.°C, specific heat of ice is 0.5 cal/g.°C, the latent heat of ice to water is 80 cal/g. Keep one digit after the decimal.
How do plants recycle carbon during photosynthesis?
A.) The carbon in glucose is recycled as carbon gas.
B.) The carbon in glucose is recycled as carbon dioxide.
C.) The carbon in carbon gas is recycled as glucose.
D.) The carbon in carbon dioxide is recycled as glucose.
I Need this answer in 5 MINUTES!
Answer:
= D.) The carbon in carbon dioxide is recycled as glucose.The plants recycle carbon during the process of photosynthesis by the carbon in the carbon dioxide is recycled as glucose. Hence, option D is correct.
What is Photosynthesis?Photosynthesis is the conversion of light energy to electrical energy in green plants and several other organisms. Green plants employ light energy during photosynthesis to convert water, carbon dioxide, and mineral into oxygen- and energy-rich organic molecules.
Photosynthesis is essential to the preservation of life on Earth, and its significance cannot be overstated. The amount of food and other organic materials on Earth would quickly decline if photosynthesis stopped. The majority of life forms would vanish, and eventually the atmosphere of Earth would be that few of gaseous oxygen.
The only organisms that might survive in such an environment would be chemosynthetic bacteria, which can use the hydrogen gas of specific inorganic materials and are not reliant on the conversion of light energy.
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Find the Magnitude of the resultant vector (the actual
path of the boat).
The picture is a little blurry, so here are the stats:
Velocity of the boat is 0.75 m/s
Velocity of the river is 1.2 m/s
The magnitude of the resultant vector, representing the actual path of the boat, is approximately 1.42 m/s.
To find the magnitude of the resultant vector, we need to consider the boat's velocity and the velocity of the river. The boat's velocity is given as 0.75 m/s, and the river's velocity is given as 1.2 m/s.
Since the boat is moving in a river, we can think of the boat's velocity as a combination of two velocities: its own velocity and the velocity of the river. The resultant vector represents the actual path of the boat, considering both velocities.
To calculate the resultant vector, we can use vector addition. The magnitude of the resultant vector can be found by taking the square root of the sum of the squares of the boat's velocity and the river's velocity. Mathematically, we have:
Resultant magnitude = √(boat velocity^2 + river velocity^2)
Plugging in the given values, we have:
Resultant magnitude = √(0.75^2 + 1.2^2)
= √(0.5625 + 1.44)
= √2.0025
≈ 1.42 m/s
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Which object will have the most kinetic energy?
a 0.045 kg golf ball traveling at 41 m/s
a 0.057 kg tennis ball traveling at 20 m/s
a 0.14 kg baseball traveling at 40 m/s
a 5 kg bowling ball traveling at 3 m/s
Answer:
c baseball
Explanation:
the baseball traveling at 40m/seg
Starting from rest, a 9 kg block slides 11 mdown a frictionless ramp (inclined at 30◦from the floor) to the bottom. The block thenslides an additional 20.8 m along the floorbefore coming to stop. The acceleration of gravity is 9.8 m/s^2a) Find the speed of the block at the bottom of the ramp.Answer in units of m/s.b) Find the coefficient of kinetic friction betweenblock and floor.c)Find the magnitude of the mechanical energylost due to friction.Answer in units of J.
Part 1
Since there is no friction, there is n force opposing the downward movement of the block. The freebody diagram of the block is shown below
The force pulling the block down the ramp = mgSinθ
From the information given,
θ = 30
m = 9
g = 9.8
Thus,
Force = 9 x 9.8Sin30 = 44.1
Recall, Force = mass x acceleration
acceleration = force/mass = 44.1/9 = 4.9 m/s^2
The block accelerated to the bottom at 4.9 m/s^2
The block started from rest, thus, initial velocity = 0
Distance travelled = 11 m
We want to calculate the final velocity at the bottom. We would apply the formula,
v^2 = u^2 + 2as
where
v = final velocity
u = initial velocity
a = acceleration
s = diatance
Thus,
v^2 = 0^2 + 2 x 4.9 x 11 = 107.8
v = square root of 107.8 = 10.38
The speed of the block at the bottom of the ramp = 10.38 m/s
b) The movement of the block on the floor is opposed by friction. Fr represents frictional force. Fa is the frorce moving the block forward.
Recall, Fa = 44.1N
Frictional force = normal reaction x coefficient of friction
The block travels 20.8 m on the floor before coming to rest. Thus,
initial velocity = 10.38
final velocity = 0
We would find the acceleration by applying the formula
v^2 = u^2 - 2as
The negative sign is because the block was decelerating. Thus,
0^2 = 10.38^2 - 2 x a x 20.8
10.38^2 = 2 x a x 20.8
107.744 = 41.6
a = 107.744/41.6 = 2.59
Force with which the block moved on the floor = 9 x 2.59 = 23.31N
Recall, frictional force = 9 x 9.8 x coefficient of friction
Thus,
44.1 - 88.2 x coefficient of friction = 23.31
88.2 x coefficient of friction = 44.1 - 23.31 = 20.79
coefficient of friction = 20.79/88.2
coefficient of friction = 0.24
c) The height of the block above the ground is calculated by
height = 11 cos30 = 9.53
Potential energy = mgh
Potential energy of block at the top = 9 x 9.8 x 9.53 = 840.55 J
Kinetic energy of the block when it came to a stop = 0
Thus, Mechanical energy lost due to friction = 840.55 - 0 = 840.55 J
prove first equation of motion
Answer:
Let us assume a body has initial velocity ' u ' and it is subjected to a uniform acceleration ' a ' so that the final velocity be ' v ' after a time interval ' t '. Acceleration is the rate of change of Velocity.Now , by the definition of acceleration , we have :\( \large{ \tt{❃ \: a = \frac{v - u}{t}}} \)
\( \large{ \tt{ \dashrightarrow \: at = v - u}}\)
\( \large{ \tt{∴ \: v = u + at - - - \tt{ {1}^{st} EQUATION \: OF \: MOTION}}}\)
And we're done! ☂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁