mv'=(M+m)v
v'=d/t
v=x/t
m'=M/2
Md/2t=(M+M/2)x/t
Md/2=3Mx/2
d=3x=>x=d/3=6/3=2 m
The boat and the person moving in opposite directions is a result of the principle of conservation of momentum. The man's mass being half of the boat means the boat will compensate for his movement to conserve the total momentum, shifting in the opposite direction. However, the exact distance can't be determined without more details due to factors like water resistance.
Explanation:In this case, we're dealing with a Physics problem. The topic is principle of conservation of momentum, which refers to the total momentum of an isolated system remaining constant if no external forces act on it.
As the total momentum of the system (boat and person) remains constant, the boat and the person move in such a way that their total momentum is preserved. The man's mass being half of the boat indicates that when the man moves to one end, the boat will shift by a certain distance in the opposite direction to conserve momentum.
However, as the resistance of water is neglected, we cannot calculate the exact distance the boat moves without more data. In real life, there are many factors like water resistance and the distributed mass of the boat that need to be accounted.
Learn more about Conservation of Momentum here:https://brainly.com/question/32309314
#SPJ2
If one neutron is added to a helium nucleus, the result is
If one neutron is added to a helium nucleus, the result is
Change of mass of nucleus. :D
The formation of lithium fluoride (seen here) is due to A) a stronger pull by the lithium atom on its valence electron. B) increased stability in the completion of fluorine's outer shell. C) the addition of an outer (higher) energy level in the fluoride ion. D) decreased attraction attraction between the lithium and fluoride ions.
Correct
Lithium fluoride is created due to the increased stability in the completion of fluorine's outer shell. By moving one electron from lithium, its outer shell is now full (with two). Additionally, by adding this electron to fluorine, it gains a full, stable octet.
The formation of lithium fluoride (seen here) is due to the increased stability in the completion of fluorine's outer shell, therefore the correct answer is option B.
What is the octet rule?The octet rule is the rule that explains that an atom should have filled with eight electrons in its valence shell for the most stable state.
For example, an Oxygen atom that has six electrons in the outermost shell needs two more electrons in its valence shell to form a stable atom.
In the formation of the lithium fluoride the lithium atom which has an extra electron in its outermost shell transfer it to the fluorine atom which has one less electron in its outermost shell so that it can compete with its octet.
The bond formed between the lithium and the fluorine atoms in the lithium fluoride is of an ionic nature where one electropositive and one electronegative atom are involved and the bond is formed by the transfer of the electron.
thus, The formation of lithium fluoride is because of the increased stability in the completion of fluorine's outer shell, therefore the correct answer is option B.
Learn more about the Octet rule from here
brainly.com/question/865531
#SPJ6
How much work must be done on a 20-kg go-cart to increase its speed from 5 m/s to 10 m/s?
a. 750 J
b. 250 J
c. 100 J
d. 1000 J
To increase the speed of the go-cart, 250 J of work and energy must be done on it.
Explanation:To find the work done on the go-cart, we can use the work-energy theorem. The work done is equal to the change in kinetic energy of the go-cart.
The initial kinetic energy of the go-cart is given by K_i = (1/2)mv^2, where m is the mass of the go-cart and v is its initial velocity. Plugging in the values, we have K_i = (1/2)(20 kg)(5 m/s)^2 = 250 J.
The final kinetic energy of the go-cart is given by K_f = (1/2)mv^2, where m is the mass of the go-cart and v is its final velocity. Plugging in the values, we have K_f = (1/2)(20 kg)(10 m/s)^2 = 500 J.
The change in kinetic energy is ΔK = K_f - K_i = 500 J - 250 J = 250 J.
Therefore, 250 J of work must be done on the go-cart to increase its speed from 5 m/s to 10 m/s.
Learn more about Work and energy here:https://brainly.com/question/16987255
#SPJ2
A solvent is A. a substance that is dissolved in a solution. B. a substance that causes other substances to enter the plasma phase. C. a substance that causes protons to be extracted from the nucleus. D. a substance that dissolves another substance.
The answer is D; A substance that dissolves another substance.
D. Solvent is a substance that dissolves another substance.
A solvent is a substance that has the ability to dissolve other substances, known as solutes, to form a homogeneous mixture called a solution. When a solute is added to a solvent, the solute particles disperse evenly throughout the solvent due to the attractive forces between the solute and solvent molecules.Common examples of solvents include water (a polar solvent), alcohol, acetone, and various organic solvents like benzene and toluene.How do I find the magnitude with two coordinates ?
Let the direction are given as follows
[tex]+x = east[/tex]
[tex]-x = west[/tex]
[tex]+y = North[/tex]
[tex]-y = South[/tex]
now for the above displacement
it moves east for 5 m so it is
[tex]x_1 = 5[/tex]
then goes north for 3 m
[tex]y_1 = 3[/tex]
then goes west for 2 m
[tex]x_2 = -2 m[/tex]
now total displacement in East or x direction
[tex]x = x_1 + x_2 = 5 - 2 = 3m[/tex]
total displacement in North of Y direction
[tex]y = 3m[/tex]
so final coordinates are
[tex]x = 3, y = 3[/tex]
Part b)
position vector is given as
[tex]r = x\hat i + y\hat j[/tex]
[tex]r = 3\hat i + 3\hat j[/tex]
so the magnitude of the vector is given as
[tex]|r| = \sqrt{3^2 + 3^2}[/tex]
[tex]|r| = 3\sqrt3[/tex]
How much power does it take to move an object with a force of 200N a distance of 25 m in 10 seconds
We know that, Power is defined as rate of doing work
Power = Work ÷ time Watts,
Given ; Force = 200 N
Distance = 25 m , and time (t) = 10 s.
First determine the work, Work = Force × distance
= 200 × 25
W = 5000 J
Now, Power = 5000 ÷ 10
= 500 W
what combination of variables will make an experiment the most reliable
Experiment reliability can be maximized through employing control and experimental groups, careful manipulation and measurement of independent and dependent variables, and using random selection and assignment.
Explanation:The combination of variables that will make an experiment the most reliable includes the implementation of control groups and experimental groups, the careful manipulation and measurement of independent and dependent variables, and the usage of random selection and assignment of subjects to prevent bias.
Control groups, that receive a placebo, allow for comparison and control for potential confounding factors that might impact the results. The independent variable, which is manipulated by the researcher, should ideally be the only significant difference between the experimental and control groups. The dependent variable is then measured to assess the effect of the independent variable.
Learn more about Experimental Variables here:https://brainly.com/question/20725701
#SPJ12
The reliability of an experiment can be enhanced by controlling the independent variable, establishing a control group, using a double-blind study design, and random assignment of subjects. Consistent experimental procedures and control of lurking variables also contribute to the reliability.
Explanation:The reliability of an experiment can be enhanced by a careful combination of variables, specifically pertaining to the design and execution of the experiment. One key aspect is the control of the independent variable, which is the variable that is manipulated or changed in the experiment.
Moreover, the establishment of a control group is paramount for comparison. The control group acts as a benchmark and remains unexposed to the experimental manipulation, further controlling for any chance factors that might influence the results of the study.
The experiment's reliability can also be significantly improved by incorporating a double-blind study design. This methodology involves keeping both researchers and participants unaware of the group assignments, reducing the chance of expectancy or bias affecting the results. Random assignment of subjects to treatment groups also helps to limit the influence of lurking variables. These are variables which are not considered in the study but that may affect the results and hence, the validity of the findings.
The careful control of these variables, along with consistent experiment procedures, can increase the reliability of an experiment.
Learn more about Experimental Reliability here:https://brainly.com/question/31540311
#SPJ12
What do hurricanes use to gain strength?
Hurricanes gain strength by using warm ocean waters as their primary energy source. The warm water evaporates and condenses, releasing latent heat, fueling the storm's intensification and driving its powerful winds.
Warm ocean waters and favourable atmospheric conditions strengthen hurricanes. Latent heat from warm, moist ocean air rising and condensing into clouds and rain powers them. Latent heat release fuels the storm. Warm, wet air rises, lowering surface pressure. Air fills this low-pressure area, rotating and organising the storm. The Coriolis effect, induced by Earth's rotation, spins the storm, strengthening it.
Hurricanes need low vertical wind shear, which limits wind speed and direction with height. Low wind shear lets the storm intensify vertically. Hurricanes receive energy from warm ocean waters, latent heat release, minimal wind shear, and the Coriolis effect.
To know more about energy source
https://brainly.com/question/79953
#SPJ6
Newton's third law states that when an object exerts a force on another object, the second object exerts an equal but opposite force on the first object. Which of the following shows an example of this?
a. A bumper car crashes into a wall, causing it to bounce backwards.
b. A woman presses on both sides of a box with equal force.
c. A moving cart becomes more difficult to stop as more mass is added to it.
d. A parked car sits in the same place for two weeks until another car runs into the back of it.
Two particles A and B are initially at distance d apart. They start moving simultaneously at velocity v and u such that A always move towards B and B moves along fixed straight line which is perpendicular to initial direction of motion of A. Then particles will meet after time
A. (vd)/(v^2-u^2)
B. (ud)/(u^2-v^2)
C. d/(v^2+u^2)^1/2
D. vd/(v^2+u^2)
Let after time "t" the Position of A and B are in such a way that A is heading to B and its velocity makes some angle with x axis
So the relative speed of A with respect to B in horizontal direction is given as
[tex]\frac{dx}{dt} = u - vcos\theta[/tex]
relative motion in y direction is given as
[tex]\frac{dy}{dt} = 0 - vsin\theta[/tex]
from first equation we can say
[tex]\int dx = \int u dt - \int vcos\theta dt[/tex]
[tex]0 = uT - v\int cos\theta dt[/tex]
[tex]\int cos\theta dt = \frac{uT}{v}[/tex]
now in the direction of approach of each other
[tex]\frac{dr}{dt} = ucos\theta - v[/tex]
[tex]\int dr = \int ucos\theta dt - \int vdt[/tex]
[tex]0 - d = u\int cos\theta dt - vT[/tex]
[tex]- d = u(\frac{uT}{v}) - vT[/tex]
[tex]T = \frac{vd}{v^2 - u^2}[/tex]
Do you think you would like to do arson or explosion investigation or evidence testing? Why or why not?
I might want to do fire related crime examination as it would be so magnificent to dissect or research on the off chance that it was illegal conflagration or an inadvertent. It is cool to examine a blast and see where it originated from and who may have done it.
Discovering where everything started and having it lead me to every one of these focuses would energize.
Arson or explosion investigation and evidence testing are careers that suit those with interests in criminal justice, chemistry, and forensic science. Arson and explosion investigators determine the causes of fires and explosions, which can be highly stressful due to the potential legal consequences. Evidence testing is more laboratory-based, using science to provide evidence in court cases, which can be appealing for those who enjoy the sciences.
Explanation:Whether one would enjoy a career in arson or explosion investigation, or in evidence testing entirely depends on an individual's interests and skills. People who are drawn to these fields often have an interest in criminal justice, chemistry, and forensic science. These careers require analytical thinking, an eye for details, and the ability to problem-solve under pressure.
Arson and explosion investigators work on determining the causes of fires and explosions. This can be appealing to those who enjoy solving complex problems and have an interest in safety and prevention measures. However, it can also be a highly stressful profession, as the results of your investigation can have significant legal and personal consequences for those involved.
Evidence testing, on the other hand, is more focused on laboratory work. This work involves testing materials found at crime scenes to provide scientific evidence that can be used in a court case. This can be rewarding to those who enjoy chemistry, biology, or physics. It can also be a challenging career, as the accuracy of your results is paramount and can greatly impact the outcomes of criminal cases.
Learn more about Arson and Explosion Investigation and Evidence Testing here:https://brainly.com/question/11803401
#SPJ11
A car traveling at 26 m/s starts to decelerate steadily. It comes to a complete stop in 12 seconds. What is its acceleration?
When 200.0mL of water is heated from 15.0 deg Celsius to 40.0 deg Celsius, how much thermal energy is absorbed by the water?
Heat required to raise the temperature of water is given as
[tex]Q = ms\Delta T[/tex]
here we know that
[tex]m = mass = 200 mL = 0.200 kg[/tex]
initial temperature = 15 degree C
final temperature = 40 degree C
specific heat capacity = 4186 J/kg C
now by the above formula we will have
[tex]Q = 0.200 (4186) (40 - 15) = 20930 J[/tex]
Describe the universal gravitational law.
Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Answer:
Discovered by Sir Isaac Newton, this law states that every object in the universe that has mass attracts every other object in the universe that has mass. The force is proportional to the product of the two masses and inversely proportional to the square of the distance between their centers. When applying this to a situation with two objects, the object with the smaller mass will do most of the moving because the other object has too much inertia to move any noticeable amount.
Explanation:
#PennFoster
what is the momentum of a 2.0kg ball rolling at 6.0 m/s
The box in the above picture is falling from the top of a building to the ground. Two major forces are acting on the box as it falls. Which force is represented by the arrow labeled Q?
Answer: Q= Air resistance
Description:
The box release two forces acts on it, when it is falling from the building.
1. Its weight, 2. Air resistance
As this point its weight is much greater due to the force of gravity on the objects, so it accelerates downwards. As its speed increases so does the drag on the object so its acceleration starts slow down until it reaches to zero. At which point air resistance will be equal to weight of the object leaving a resultant force of zero.The answer is Air resistance
Calculate the distance between the center of the earth and the center of the moon at which the gravitational force exerted by the earth on the object is equal in magnitude to the force exerted by the moon on the object
Solution:
Step wise solution
Let r1 be the distance from the Earth to the point where
the gravitational accelerations are the same and let r2 be the distance
from the Moon to that point.
Then, r1+ r2 = r12 = 383,000 km.
Let Re be the radius of earth
and let Rm be the radius of moon
Let, ge be the gravity of earth
and let gm be the gravity of moon
The fact that the gravitational attractions by the Earth and the Moon
at this point are equal leads to the equation
gE(Re/r1)=gM(Rm/r2)
9.8(6380/r1)=1.62(1738/r12-r1)
(here, Re=6380, gE=9.8m/s^2, gM=1.62m/s^2 and r12=383,000 km
9.8*6380/(1.62*1738)=r1/(383000-r1)
therefore,
r1=344,770 km
Hope this answer wil help you
Answer:
Calculate the distance between the center of the earth and the center of the moon at which the gravitational force exerted by the earth on an object is equal in magnitude to the force exerted by the moon on the object
Explanation:
solution steps
what is brownion motion
Answer: Brownion motion is the erratic random movement of microscopic particles in a fluid, as a result of continuous bombardment from molecules of the surrounding medium.
Explanation:
Brownian motion is the random movement of particles in a fluid due to their collisions with other atoms or molecules.
What happens when molten material is heated from Earth’s core?
It sinks towards the core.
It rises up towards the crust.
Lava travels away from the core and forms the crust.
Lava travels away from the crust and forms the mantle
Answer:
Option (2)
Explanation:
The earth is comprised of denser materials such as iron and nickel and other siderophile elements in the core and silicate materials in the mantle. The temperature at the core of the earth is extremely high that generates a force, that allows the molten materials (magma) to rise up from the bottom of the mantle towards the crust, in the form of convection currents. This upward movement of magma forces the lithospheric plates to move.
Thus, magma rises from the bottom of the mantle towards the crust.
Hence, the correct answer is option (2).
Three forces are applied to an object, as shown in the diagram below. F1 = 30 N, F2 = 34 N, F3 = 20 N, d1 = 25 mm, d2 = 20 mm, d3 = 10 mm, θ3 = 500. What is the resultant torque around the point 'x', in units of Nm?
What is a controlled experiment? none of the variables are changed all variables are kept constant two variables are changed at a time one variable is changed at a time
One variable is changed at a time
what is a motion graph?
Motion graph:
It is defied as "A considerable amount of information about the motion like velocity, acceleration". and the information obtained by the slope of graphs.The graphs distance, velocity and acceleration are the function of time, that defines the motion using the motion equations.Identify the meaning of the variables in the point slope form of a line
Answer:m=the slope of the line
(x1, y1)= a given point on the line (x,y)=any point on the line
Explanation:
m = slope of line
x1 , y1 = it is the given point on the line
x ,y = any point on line
What is equation of a line ?The general form of equation of line is y - y1 = m (x-x1) where m is slope of line , y1 and x1 is any point on the line
It is an equation of degree one
x and y represent the coordinate of the point on the line represented in the coordinate plane
m = slope of the line
general equation of a line is y = mx + c
where
m = slope of line
x1 , y1 = it is the given point on the line as data points are represented as (x1,y1) , (x2,y2) , (x3,y3) and so on
x ,y = it is any point line where x is any point on the x axis and y is any point on y axis
learn more about equation of a line
https://brainly.com/question/21511618?referrer=searchResults
#SPJ3
What 3 colors make up the colored shadows of the hands
black white green and gold
How does a compass needle respond when a compass is placed within a magnetic field? It aligns in a direction parallel to the field. It points toward the edge of the field. It rotates in the center of the field. It aligns in a direction perpendicular to the field.
When a compass is placed within a magnetic field, it aligns in a direction parallel to the field.
At the point when a compass is put inside an attractive field, it adjusts toward a path parallel to the field.
Hope this helps ^_^
Collaborative learning focuses on the learning of an individual. True or False
Answer:
False
Explanation:
The collaborative learning is not a type of learning that focuses on individual learning. This type of learning focuses on joint learning between two or more individuals that act as a team. The collaborative learning is a method that encourages the two or more individuals to work together, to capitalize on each other's skills and resources for the benefit of the whole, for the team. This type of learning has its own supporters and critics, as some consider it as excellent way to develop the team work and closer bonds between the people, while others argue that it is destroying the potential of the individual.
Collaborative learning does not focus on the learning of an individual, it emphasizes working together in groups to achieve a common goal.
Explanation:The statement 'Collaborative learning focuses on the learning of an individual' is False. Collaborative learning involves students working together in groups or teams to achieve a common goal or complete a task. It emphasizes cooperative and active participation, where students learn from each other's perspectives, experiences, and knowledge. It encourages communication, critical thinking, problem-solving, and teamwork skills. Examples of collaborative learning activities include group discussions, projects, presentations, and peer teaching.
Learn more about Collaborative learning here:https://brainly.com/question/32894707
#SPJ6
A stone is thrown vertically upwards with a speed of 30.0 m/s.
(a) what's its speed when it reaches 20.0 meters?
(b) What is the maximum height?
a)
Y₀ = initial position of the stone at the time of launch = 0 m
Y = final position of stone = 20.0 meters
a = acceleration = - 9.8 m/s²
v₀ = initial speed of stone at the time of launch = 30.0 m/s
v = final speed = ?
Using the equation
v² = v₀² + 2 a (Y - Y₀)
inserting the values
v² = 30² + 2 (- 9.8) (20 - 0)
v = 22.5 m/s
b)
Y₀ = initial position of the stone at the time of launch = 0 m
Y = maximum height gained
a = acceleration = - 9.8 m/s²
v₀ = initial speed of stone at the time of launch = 30.0 m/s
v = final speed = 0 m/s
Using the equation
v² = v₀² + 2 a (Y - Y₀)
inserting the values
0² = 30² + 2 (- 9.8) (Y - 0)
Y = 46 m
(a)The speed of the stone when it reaches [tex]20.0 m[/tex] is approximately [tex]22.5 m/s[/tex]
(b)The maximum height it reaches is approximately [tex]45.9 m[/tex].
Let's analyze the motion of the stone in two parts: finding its speed at a height of 20.0 meters and its maximum height.
(a) Speed at [tex]20.0 m[/tex]
We can use the following kinematic equation:
[tex]v^2 = u^2 + 2as[/tex]
Initial speed [tex]u = 30.0 \, \text{m/s}[/tex]
Acceleration [tex]a = -9.8 \, \text{m/s}^2[/tex] (since gravity acts downwards)
Displacement [tex]s = 20.0 \, \text{meters}[/tex] (upward positive)
Substituting in the given values:
[tex]v^2 = 30.0^2 + 2(-9.8)(20.0)\\\\v^2 = 900 - 392\\\\v^2 = 508[/tex]
Hence:
[tex]v = \sqrt{508} \approx 22.5 \, \text{m/s}[/tex]
(b) Maximum Height
At maximum height, the speed ([tex]v[/tex]) will be 0. Using the same kinematic equation:
[tex]0 = 30.0^2 + 2(-9.8)s0 = 900 - 19.6s[/tex]
Solving for [tex]s[/tex]:
[tex]s = \frac{900}{19.6} \approx 45.9 \, \text{meters}[/tex]
Thus, the highest point the stone may reach is roughly [tex]45.9 m[/tex].
The circuit shown is used to control the brightness of two identical lamps. The variable resistor is adjusted until the lamps operate at their correct voltage of 3.0V
1) When the lamps operate at the correct voltage, the reading on the ammeter is 1.2A. Calculate the current in one lamp.
Since the lamps are identical, the current divides equally through them... 0.6A through each lamp.
You don't have to worry about voltage drop or the value of the resistor to make that 9 volt drop to happen. The current is divided evenly by the two lamps. If the ammeter reads 1.2 amps before the current goes into the lamps then since this is a parallel circuit, the lamps will divide up the current evenly between them.
That's another way of saying each one will get 1.2 amps /2 = 0.6 amps.
Spring scales are used to measure the weight of large are awkward items in what SI unit
Weight is defined as attraction force of Earth on an object
It is given by formula
F = mg
when spring balance is used to measure the weight of an object then it means
[tex]F_s = F_g[/tex]
spring force is balanced by gravitational force
so the unit to measure this force is given by NEWTON(N)
so answer would be Newton(N)
An object of mass 13kg is falling in air and experiences a force due to air resistance of 9N. Determine the magnitude of net force acting on the object.
Given data
mass (m) = 13 kg
F₁ = 13 × 9.8 = 127.4 N
air resistance (F₂ ) = 9 N, acts in opposite direction
Net force is defined as sum of all forces
Fnet = F₁ - F₂
= 127.4 - 9
= 118.4 N
Net force acting on the object is 118.4 N