The distance from the horizontal top surface of the raft to the water level is 0.117 m, which is Choice 3 of 5.
To determine the distance from the horizontal top surface of the raft to the water level, we will use the following steps:
Step 1: Determine the mass of the raft.
Step 2: Determine the mass of the people.
Step 3: Determine the total mass of the raft and people.
Step 4: Determine the buoyant force acting on the raft.
Step 5: Determine the net force on the raft.
Step 6: Determine the distance from the top surface of the raft to the water level.
Step 1
The mass of the raft is given by;
Weight = Density × Volume × Gravity= 0.6 × 7.6 × 6.1 × 0.38 × 9.8= 1303.6 N
Step 2
The weight of the people is 185 × 9.8 = 1813 N.
Step 3
The total weight of the raft and people is;1303.6 + 1813 = 3116.6 N
Step 4
The buoyant force acting on the raft is;Density of water × Volume × Gravity= 1000 × 7.6 × 6.1 × 0.1 = 46556 N
Step 5
The net force on the raft is;
Buoyant force – Total weight of raft and people= 46556 – 3116.6 = 43439.4 N
Step 6
The distance from the top surface of the raft to the water level is given by the formula;
Distance = Net force on raft / (Density of water × Area of raft)
Distance = 43439.4 / (1000 × 7.6 × 6.1)= 0.117 m
Therefore, the distance from the horizontal top surface of the raft to the water level is 0.117 m, which is Choice 3 of 5.
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The relationship that exists between gravity and distance and mass respectively.
A. The gravitational force is directly proportional to the distance between objects and inversely
proportional to the mass of the objects.
B. The gravitational force is inversely proportional to the distance between objects and directly
proportional to the mass of the objects.
C. The gravitational force is inversely proportional to the distance between objects and inversely
proportional to the mass of the objects.
D. The gravitational force is directly proportional to the distance between objects and directly
proportional to the mass of the objects.
Answer:
D...............................
Three forces are acting on an object as shown in the diagram. The object is not moving. Two forces are to newtons and 10 N. Third force is:
The object is not moving, so the net force acting on it is zero.
The two given forces act in the same direction with a total magnitude of 2 N + 10 N = 12 N.
The third force acts counter to these with some magnitude F to give a net force of 0, so that by Newton's second law
F = 12 N
20 points pls help...
Does the sun orbit the Earth once a day?
True or False
Answer:
False.
Explanation:
First off, the Earth orbits the sun. The sun does not orbit the Earth.
Also, it takes 365 days (1 year) for the Earth to orbit the sun.
I hope this helped.
Explain What is economics?
when calculating the binding energy, what is z multiplied by?
When calculating the binding energy, z multiplied by the sum of mass of proton and mass of electron.
What is z in binding energy?Z in binding energy calaculation is the number of protons in the nuclides.
Formula for binding energyTo calculate the binding energy we use the formula below;
E = Z (mp + me) + Nmn − mn
Where;
Z is the number of protons in the nuclides N is the number of neutronsmp is mass of protonme is mass of electronThus, when calculating the binding energy, z multiplied by the sum of mass of proton and mass of electron.
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How does the mass of an object affect its acceleration?
Answer:
as the mass of an object is increased, the acceleration of the object is decreased & vice-versa.
Explanation:
hope this helps!
earth's temperature remains fairly steady, which means that earth must return nearly the same amount of energy to space that it receives from the sun. in what form(s) does earth return most of this energy to space? check all that apply. view available hint(s)for part b earth's temperature remains fairly steady, which means that earth must return nearly the same amount of energy to space that it receives from the sun. in what form(s) does earth return most of this energy to space?check all that apply. infrared light emitted by the surface and atmosphere visible light emitted by the surface and atmosphere ultraviolet light reflected by the surface visible light reflected by clouds visible light reflected by the surface
Earth returns most of the energy it receives from the sun back to space in the form of infrared light emitted by the surface and atmosphere. This process is called radiation.
The temperature of Earth's surface and atmosphere is regulated by the balance between incoming solar radiation and outgoing infrared radiation. If this balance is disrupted, the temperature of Earth can change. The other options listed, such as visible light emitted or reflected by the surface and atmosphere, and ultraviolet light reflected by the surface, are not the primary forms of energy that Earth returns to space. In summary, Earth's temperature remains steady because it radiates most of the energy it receives from the sun back into space in the form of infrared radiation.
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At what frequency should a 200-turn, flat coil of cross sectional area of 300. 0 cm2 be rotated in a uniform 30. 0-mt magnetic field to have a maximum value of the induced emf equal to 8. 0 v?.
F = 7.1 Hz
By Emf = -N∆(BA)/∆t
8 = [200 x 30 x 10^-3 x 300 x 10^-4]/∆t
∆t = 0.023 sec
n = 1/T = 1/0.023 = 44.44 Hz
angular frequency = 44.44/2pi
= 7.1 Hz
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Explain why teens are especially weak at impulse control
Answer:
One explanation may be that as a group, teenagers react more impulsively to threatening situations than do children or adults, likely because their brains have to work harder to rein in their behavior, a research team reported here yesterday at the Society for Neuroscience meeting
Which statement best describes the general movement of air masses?
A.
They move from areas of high humidity to areas of low humidity.
B.
They move from areas of high altitude to areas of low altitude.
C.
They move from areas of low temperature to areas of high temperature.
D.
They move from areas of high pressure to areas of low pressure.
Answer:
d
Explanation:
i looked it up
a motor operates at 200 W how high could it lift 15 g in a time of 8 seconds
The motor could lift 15 g in a time of 8 seconds 10884 meter.
What is power?The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
Given that motor operates at 200 W.
At time interval of 8 second, it do a work = 200×8 joule = 1600 joule.
Hence, it lift 15 g in a time of 8 seconds = 1600/(0.015×9.8) meter
= 10884 meter.
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if you have a circuit with one battery and one resistor and want to measure the current flowing through the resistor, how would you do it?
To measure the current flowing through a resistor in a circuit with one battery and one resistor, you would need to use an ammeter. An ammeter is a device that is specifically designed to measure electric current in a circuit.
To use an ammeter, you need to first make sure the circuit is disconnected, and then insert the ammeter into the circuit in series with the resistor. This means that the ammeter is placed in the same path as the current flowing through the resistor.
Once the ammeter is properly installed, you can turn on the circuit and the ammeter will measure the current flowing through the resistor. It's important to note that the ammeter must be able to measure the same range of current that is flowing through the circuit, so you need to choose an appropriate ammeter for the specific circuit you're working with.
Overall, measuring current in a circuit with one battery and one resistor is relatively straightforward, as long as you have the right equipment. An ammeter is an essential tool for accurately measuring current in any circuit.
To measure the current flowing through a resistor in a circuit with one battery and one resistor, you would need to use a device called an ammeter. Follow these steps:
1. Turn off the power to the circuit.
2. Break the circuit at a point between the battery and resistor.
3. Connect the ammeter in series, placing its positive terminal towards the battery and the negative terminal towards the resistor.
4. Turn the power back on.
5. The ammeter will display the current (in amperes) flowing through the resistor.
Remember to always exercise caution when working with electrical circuits, and if you are unsure, consult an expert or a knowledgeable individual.
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how are speed and velocity related? choose all that are true. group of answer choices speed is average velocity speed is the rate of change of velocity speed is the magnitude of velocity velocity is an object's speed and which direction its traveling speed and velocity can be measured in the same units speed and velocity have different units
Speed is the rate of change of distance, while velocity is the rate of change of position. Speed is a scalar quantity, which means it only has magnitude and no direction, while velocity is a vector quantity, which means it has both magnitude and direction. Therefore, all options except the first one are true. Speed can be measured in units such as meters per second (m/s).
Velocity has units of meters per second in a specific direction. This means that velocity is a vector quantity and has direction while speed is a scalar quantity and only has magnitude.
In short, speed is just a scalar representation of velocity, it tells you how fast an object is moving, but it doesn't tell you the direction of motion, whereas velocity tells you both the speed and the direction of motion.
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Which would not increase the rate at which a sugar cybe dissolves?
A. reducing the amount of solvent. B. forces attract.
C. sugar decants. D. water molecules collide.
a massless, frictionless pulley is mounted on frictionless bearings and supported by a stand of mass 4m at rest on a table as shown above. passing over the pulley is a massless cord supporting a block of mass m on the left and a block of mass 2m on the right. after the masses are released from rest, what normal force does the table exert to support the entire system
When the masses are released from rest, the block of mass m will accelerate downwards with a force of mg, where g is the acceleration due to gravity. This will cause the cord to move and the block of mass 2m will accelerate upwards with a force of 2mg. Since the pulley is massless and frictionless, the tension in the cord will be the same on both sides of the pulley.
The force exerted by the table on the stand can be found using Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. Therefore, the normal force exerted by the table on the stand is equal in magnitude and opposite in direction to the weight of the entire system.
The weight of the system can be found by adding up the weights of all the components. The block of mass m has a weight of mg, the block of mass 2m has a weight of 2mg, and the stand has a weight of 4mg. Therefore, the total weight of the system is 7mg.
Therefore, the normal force exerted by the table on the stand is 7mg upwards.
To find the normal force that the table exerts to support the entire system, we'll consider the following terms: massless frictionless pulley, frictionless bearings, stand of mass 4m, massless cord, block of mass m, and block of mass 2m.
Step 1: Identify the forces acting on the system.
The entire system consists of the stand (4m) and the two blocks (m and 2m). The force acting on the system is gravity, pulling each mass downward. The total gravitational force is (4m + m + 2m) * g, where g is the acceleration due to gravity (9.81 m/s²).
Step 2: Calculate the total gravitational force.
Total gravitational force = (4m + m + 2m) * g = (7m) * g
Step 3: Determine the normal force exerted by the table.
The normal force is equal in magnitude and opposite in direction to the total gravitational force acting on the system. Since the system is at rest on the table, there is no net vertical force, meaning that the normal force must balance out the gravitational force.
Normal force = Total gravitational force = (7m) * g
So, the normal force exerted by the table to support the entire system is (7m) * g.
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how to convert 40m/min to km/h? need step by step explanation
How to convert m/sec into km/hr
1 m = 1/1000 km; 1 sec = 1/3600 hr
1 m/sec = 3600/1000 km/hr = 18/5 km/hr
To convert m/sec into km/hr, multiply the number by 18 and then divide it by 5.
Need detail explanation? Go to bottom
Solved Example 1:
Convert 20 m/sec into km/hr.
Solution:
20 m/sec
Step 1:
Multiply 20 by 18
We have 20 * 18 = 360
Step 2:
Divide 360 by 5
360/5 = 72
Final Answer:
20 m/sec = 72 km/hr
Try yourself: Practice Sheet 1
Solved Example 2:
Convert 36 m/sec into km/hr.
Solution:
36 m/sec
Step 1:
Multiply 36 by 18
We have 36 * 18 = 648
Step 2:
Divide 648 by 5
648/5 = 129.6
Final Answer:
36 m/sec = 129.6 km/hr
Try yourself: Practice Sheet 2
Better Understanding:
The problem can be solved using an unitary method.
A shopkeeper sells each pencil for 5 cents. How much do 4 pencils cost? 4 * 5 cents= 20 cents, isn't it? What is the cost of 7 pencils? Yes, your guess is right. It is 7 * 5 cents = 35 cents.
Let us work out the problem in example 1 as it explained here.
20 m/sec = 360/5 = 72 km/hr
A car accelerates uniformly from rest to a speed of 6.6 m/s in 6.5 s. Find the acceleration the car presents during this time?
Answer:
1.02 m/s²
Explanation:
The following data were obtained from the question:
Initial velocity (u) = 0 m/s
Final velocity (v) = 6.6 m/s
Time (t) = 6.5 s
Acceleration (a) =.?
Acceleration can simply be defined as the change of velocity with time. Mathematically, it can be expressed as:
a = (v – u) / t
Where:
a is the acceleration.
v is the final velocity.
u is the initial velocity.
t is the time.
With the above formula, we can obtain the acceleration of the car as follow:
Initial velocity (u) = 0 m/s
Final velocity (v) = 6.6 m/s
Time (t) = 6.5 s
Acceleration (a) =.?
a = (v – u) / t
a = (6.6 – 0) / 6.5
a = 6.6 / 6.5
a = 1.02 m/s²
Therefore, the acceleration of the car is 1.02 m/s²
In the principle of moments (select the correct statement):
20 points
the moment of the biggest Force will be always bigger than the moment of the other force
moments of both forces are equal
the moment of the smallest Force will be always bigger than the momentof the other Force
According to the research, the correct option is moments of both forces are equal. In the principle of moments, both moments of forces are equal.
What is the principle of moments?It states that the moment of a force about a point is equal to the sum of the moments of the components of the force about the point where two forces are equivalent when their effects on a rigid body are the same, that is, produce the same moment.
In this sense, two forces acting on an object are known as a couple whose torques about a point cause the object they act on to tend to rotate.
Therefore, we can conclude that following the equilibrium condition in the principle of moments, a structure of an object has to respond to the action of a moment with another of the same value and in the opposite direction.
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The position of the front bumper of a test car under microprocessor control is given by x(t)=2.17m+(4.80m/s2)t2?(0.100m/s6)t6.a. Find its position at the first instant when the car has zero velocity.b. Find its acceleration at the first instant when the car has zero velocity.c. Find its position at the second instant when the car has zero velocity.d. Find its acceleration at the second instant when the car has zero velocity.
Using velocity and acceleration, a. To determine the location of the car when its velocity is zero, we must identify the roots (time instances) of the velocity equation, which is the first derivative of the position equation.
The velocity equation is as follows: \(v(t) = (9.60m/s^3) t - (0.600m/s^7)t^7.\)
What numerical techniques may we use to find an equation's roots?To find the roots of this equation, we can use numerical techniques like Newton-Raphson or bisection. The velocity equation can also be seen to be a seventh-degree polynomial with up to seven roots. By setting the velocity equation to zero and calculating the root, we can apply a numerical solution or perform a hand calculation to obtain the first root (i.e., the first time the car has zero velocity).
b. The formula for the acceleration equation, which is the second derivative of the position equation, is: \(a(t) = (9.60m/s^2) - (6.00m/s^6)\)\(t^6\)
c. and d. To discover the acceleration at the second time occurrence when the car has zero velocity, find the second root by repeating step a and using the acceleration equation to find the acceleration.
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how can you recognize the potential greatness in others?
Answer:
heres some ways i personally think might help!
Explanation:
Have a Compelling Vision. Your vision must be larger than yourself and larger than the moment, says world-famous business guru Tony Robbins. ...
Build Collaboration.
Be Focused.
Innovate.
Use Emotional Intelligence.
Pass Your Leadership On.
Leadership. Greatness in leaders is expressed though a positive attitude. ...
Service. To be of real service in this world, we must add something to other people's lives that cannot be bought. ...
Results. Getting the results we desire comes from how hard we work and how optimistic our outlook is.
Efficiency.
Quality.
Reliability.
Catch People Doing Something Right. ...
Recognize Effort and Hard Work, not Intelligence. ...
Be Better at Noticing. ...
Say, Thank You More Often. ...
Make More Positive Emotional Connections. ...
Think about Who Blessed My Life Today.
A magnetic field is formed when electric charges move. When the electric charges stop moving, the magnetic field (which was formed by the moving charges) ceases to exist. True or False
True
Explanation:
when electrons stop.moving it cause a stoppage
in formation of magnetic field
i hope.it helps u
an 7.6 kgkg crate is pulled 5.1 mm up a 30∘∘ incline by a rope angled 17 ∘∘ above the incline. the tension in the rope is 120 nn and the crate's coefficient of kinetic friction on the incline is 0.27.How much work is done by (a) tension, by (b) gravity, and by (c) the normal force?2. ) What is the increase in thermal energy of the crate and incline?
(a) The work done by tension is 0 J.
(b) The work done by gravity is -30.7 J.
(c) The work done by the normal force is 0 J.
(d) The increase in thermal energy of the crate and incline is 30.7 J.
(a) The tension in the rope is perpendicular to the displacement of the crate, so the work done by tension is zero. This is because work is defined as the dot product of force and displacement, and when the angle between the force and displacement vectors is 90 degrees, the work done is zero.
(b) The work done by gravity can be calculated by considering the component of the weight of the crate that acts along the incline. The gravitational force can be split into two components: one parallel to the incline (mg * sin θ) and one perpendicular to the incline (mg * cos θ). The work done by the component parallel to the incline is given by the formula W = force * distance * cos θ. Substituting the values, we get W = (-mg * sin θ) * distance * cos θ = -30.7 J.
(c) The normal force exerted by the incline is perpendicular to the displacement of the crate, so the work done by the normal force is zero.
(d) The increase in thermal energy of the crate and incline is equal to the negative of the work done by gravity. This is due to the conservation of mechanical energy. The work done by gravity is negative because the force of gravity acts opposite to the displacement of the crate. Therefore, the increase in thermal energy is 30.7 J.
It's important to note that the negative sign in the work done by gravity indicates that work is done against gravity, resulting in a decrease in the mechanical energy of the system. The increase in thermal energy represents the energy dissipated as heat due to friction between the crate and the incline.
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Which properties are characteristics of non metals
Non - Metals:
Non- metals are bad conductor of electricity ( except Graphite ).Non- metals are also bad conductor of heats. ( except diamond )Non - metal are neither malleable nor ductile. They are brittle. Non-metal are not strong. Non-metal are not sonorous.Some terms:
★ Malleable: This means that metals can be beaten into thin sheets with hammer.
★ Ductile: This means that metals can be drawn into thin wires.
★ Brittle: This means that non-metal break into pieces on hammering.
★ Sonorous: This means capable of producing a ringing sound.
A 0.5 kg bird starts off flying at a height of 30 m. At this height, the system has 20 J of gravitational potential energy. If the system has a final gravitational energy of 30 J, what is the final height of the bird?
Answer:
45 m
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 0.5 kg
Initial height (h₁) = 30 m
Initial potential energy (PE₁) = 20 J
Final potential energy (PE₂) = 30 J
Final height (h₂) =?
From:
PE = mgh
PE / h = mg = constant
Thus,
PE₁ / h₁ = PE₂ / h₂
With the above formula, we can obtain the final height of the bird as follow:
Initial height (h₁) = 30 m
Initial potential energy (PE₁) = 20 J
Final potential energy (PE₂) = 30 J
Final height (h₂) =?
PE₁ / h₁ = PE₂ / h₂
20 / 30 = 30 / h₂
Cross multiply
20 × h₂ = 30 × 30
20 × h₂ = 900
Divide both side by 20
h₂ = 900 / 20
h₂ = 45 m
Therefore, the final height of the bird is 45 m.
help plz The sum of all chemical reactions that take place within an organism is known as ______________. *
Answer:
Metabolism
Explanation:
metabolism is the sum of all chemical reactions that take place within an organism
Answer:
Metabolism
Explanation:
Please help ASAP I need help
Answer:
I think the answer is A,B,C
Explanation:
three particles are fixed in place. the mass of b is greater than the mass of c. can a fourth particle (particle d) be pplaces somewhere so that the net gravitational force on particle a from particles b, c, and d is zero?
Its position of this particle D must be near the positive y-axis in the second meiotic division of the aforementioned equations.
What is gravitational force and example?This attraction that earth has on an object is referred to as gravitational force. Examples of motion brought on by gravitational force also include upwards motion of a ball being thrown, the downward motion of water moving through a stream, and the pull of gravity on river flow.
Briefing:When two bodies are separated by a distance R and have masses M and m, the gravitational attraction between them is:
F= GMm/R²
The gravitational force is a result of the interaction between the gravitational forces exerted by particle B and particle C on particle A.
We can claim that because particle B has a larger mass than particle A does, the gravitational force was closer to and roughly equal to the mass of the bodies.
The net gravitational force on particle A would be zero if particle D force is exerted that is equal to it and opposite to the normal Force that results.
As a result, particle D need to be positioned close to the positive y-axis in the second quadrant.
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How many
different
elements are
present in
C6H12O6 ? How do you know
A 7.00-kg mass is placed on a 28.0° incline and friction keeps it from sliding. The coefficient of static friction in this case is 0.574, and the coefficient of sliding friction is 0.528. What is the frictional force in this situation?32.2 N60.6 N32.0 N34.8 N3.29 N
The frictional force keeping the 7.00-kg mass from sliding on a 28.0° incline with a coefficient of static friction of 0.574 is 34.8 N.
The frictional force in this situation can be calculated using the formula
frictional force = coefficient of static friction x normal force
where the normal force is the force perpendicular to the incline, which can be calculated using the formula:
normal force = mass x gravitational acceleration x cosine(theta)
where theta is the angle of the incline.
Plugging in the given values, we get:
normal force = 7.00 kg x 9.81 m/s^2 x cosine(28.0°) = 60.6 N
Then, using the coefficient of static friction of 0.574, we get:
frictional force = 0.574 x 60.6 N = 34.8 N
Therefore,
The frictional force keeping the 7.00-kg mass from sliding on a 28.0° incline with a coefficient of static friction of 0.574 is 34.8 N.
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For the PE formula, why is the height required for calculations? Why do we need to know the height in order to determine PE? *
Answer:
Answer in Explanation
Explanation:
Whenever we talk about the gravitational potential energy, it means the energy stored in a body due to its position in the gravitational field. Now, we know that in the gravitational field the work is only done when the body moves vertically. If the body moves horizontally on the same surface in the Earth's Gravitational Field, then the work done on the body is considered to be zero. Hence, the work done or the energy stored in the object while in the gravitational field is only possible if it moves vertically. This vertical distance is referred to as height. This is the main reason why we require height in the P.E formula and calculations.
The derivation of this formula is as follows:
Work = Force * Displacement
For gravitational potential energy:
Work = P.E
Force = Weight = mg
Displacement = Vertical Displacement = Height = h
Therefore,
P.E = mgh