Based on the principle of moments, the correct options are:
1. If the outside support is removed, the plank will be balanced; option D
2. To balance the simple plank balance, place the 200 gram weight 125 cm left of the fulcrum; option C
3. the mass of the mystery box is 8 kg; option D
What is the principle of moments?The principle of moments is the principle that describes the turning effect produced by forces.
The principle of moments states that for a system of balanced forces, the sum of the clockwise moment about a point equals the sum of the anticlockwise moment about the same point.
The formula for calculating moments about a poit is given below:
Moment = force x perpendicular distance from the fulcrumConsidering the given questions:
1. Assuming the fulcrum is the balance point of the plank balance.
Taking left as anticlockwise and right as clockwise motion
Anticlockwise moment = 30 * 3
Anticlockwise moment = 90
Clockwise moment = 45 * 2
Anticlockwise moment = 90
Therefore, the plank balance is balanced.
2. Assuming the fulcrum is the balance point of the plank balance.
Taking left as anticlockwise and right as clockwise motion
Clockwise moment = 500 * 50
Anticlockwise moment = 25000
Anticlockwise moment = 200 * d
Anticlockwise moment = 200d
200d = 25000
d = 125 cm to the left of the fulcrum
3. Assuming the fulcrum is the balance point of the plank balance.
Taking left as anticlockwise and right as clockwise motion
Clockwise moment = 10 * 4
Anticlockwise moment = 40
let the mass be m
Anticlockwise moment = m * 5
Anticlockwise moment = 5m
5m = 40
m = 8 kg
Learn more about the principle of moments at: https://brainly.com/question/20298772
#SPJ1
starting from rest, an iron block with mass mb slides down a frictionless hill of height h. at the base of the hill, it collides with and sticks to a magnet with mass mm.
The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction. There are various kinds of friction: Two solid surfaces in touch are opposed to one another's relative lateral motion by dry friction.
"V = √2gH*{mb/(mM+mM)}"
Given
First block's mass is mB.
Second block's mass is mM.
H = Height
The mass's speed right before impact is m.
V = √2gH
Since there is no external force acting on the masses, the linear momentum will remain constant.
Initially linear momentum equals ultimately linear momentum
Pi = mB V
Let's assume that the system's final speed is v.
Pf = (mM + mB)
V = (mM + mB)
V = √2gH*{mb/(mM+mM)}
To know more about Friction, click on the link below:
https://brainly.com/question/14124067
#SPJ9
Which would conduct the least amount of electricity?
a
A copper wire
b
A piece of wood
c
An iron rod
d
A tin can
Answer:
The one that conducts the least amount of electricity is a piece of wood.
Explanation:
We are given four options of which three are metals and one is not, and we have to decide which one would conduct the least amount of electricity or, in other words, which one is the better insulator.
Metals, because of their molecular properties, are the best electricity and heat solid conductors. This means they do not resist too to the flow of current. Therefore, they conduct high amounts of electricity.
Materials such as wood, plastic, or rubber are known as insulators because they have a higher resistance to the flow of electric current. In other words, they conduct very small amounts of electricity.
Hence, of these options, the one that conducts the least amount of electricity is a piece of wood.
(Hi fyi this answer took a lot of time & effort to make sure it was accurate, precise and to the point to be produced, so if you could opt this answer as the brainliest it would mean the world to me,)
Stay positive and Take care,
A fellow mate,
Cheers !
superman throws a 1400 nn boulder at an adversary. what horizontal force must superman apply to the boulder to give it a horizontal acceleration of 15.0 m/s2m/s2 ?
The horizontal force superman apply to the boulder is F = 2142.9 N.
Equation :The boulder has a weight of
W = 1400 N
The weight of an object is the product between its mass m and the gravitational acceleration g:
W = mg
Rearrange the equation, we can calculate the mass of the boulder:
m = W / g
m = 1400 N / 9.8 m/s
m = 142.86 kg
As we know that Superman applies a horizontal force to this object, and as a result, the acceleration of the boulder is
a = 15 m/s²
We can find the force applied by using Newton's second law of motion:
F = ma
As, now we have m that is 142.86 kg and a is 15 m/s²
So, putting these values in formula we have,
F = 142.86 kg x 15 m/s²
F = 2,142.9 N
Hence, the horizontal force superman apply to the boulder is F = 2142.9 N.
To know more about Newton law :
https://brainly.com/question/15280051
#SPJ9
If the location of A (2, -5)
with reference to point (0,0)
What is the direction of A
The point A is located at coordinates (2, -5). This means that A is 2 units to the right of the origin and 5 units below the origin. The direction of A is therefore to the right and down.
What is direction?
The four main compass directions are known as the four cardinal directions, or cardinal points. They are north, east, south, and west, and are typically represented by the initials N, E, S, and W, respectively. The directions east, south, and west are spaced 90 degrees apart from the direction north. Northeast, Southeast, Southwest, and Northwest are the ordinal directions, also known as the intercardinal directions (NW). A secondary intercardinal direction is the direction that lies between each set of intercardinal and cardinal directions.
West-northwest, North-northwest, North-northeast, East-northeast, East-southeast, South-southeast, South-southwest, West-southwest
To learn more about direction
https://brainly.com/question/28108225
#SPJ9
I need Help! Can You Please Help Me?
_______ is essential for building amino acids.
(Choose One)
Nitrogen
Oxygen
Calcium
Carbon
Hydrogen
Phosphorus
Answer:
Oxygen or Hydrogen?
Explanation:
To make amino acids, fermentation tanks are filled with molasses and sugar ingredients such as sugar cane, corn and cassava. Ideal conditions are achieved for stirring, oxygen supply, temperature and pH levels. The desired amino acids are then purified from this fermented broth.
"An amino acid is an organic molecule that is made up of a basic amino group (−NH2), an acidic carboxyl group (−COOH), and an organic R group (or side chain) that is unique to each amino acid."
Hope this helps
find the measure of x
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{x}{11}~~ = ~~\cfrac{4}{x}\implies x^2=44\implies x=\sqrt{44}\implies x=2\sqrt{11}[/tex]
help please I need this
it's about Alfred Nobel
the man who dreamed of a better world
The life of Alfred Nobel in the chronological order is given below.
Alfred became interested in chemistry while studying in France and in America.Alfred returned to Russia with a dream of controlling nitroglycerin so that it could be used to help blast roads and tunnels.Alfred discovered that if he mixed the nitroglycerin with a special soil, it would put the nitroglycerin to sleep.Tragedy struck when a terrible explosion with nitroglycerin killed five people, including Alfred's brother.Alfred build a factory that produced and transported nitroglycerin.Alfred invented the blasting cap that was used to "wake" the nitroglycerin up from its sleep, calling this new invention dynamite, which he patented and sold all over the world.Alfred became a very rich man, and he gave all of his money to set up a fund to award prizes to men and women who show they make the world a better place.To know more about Alfred Nobel here:
https://brainly.com/question/4672169
#SPJ1
a light aluminum ball and a heavy lead ball of the same size are allowed to roll down an incline. when they are halfway down the incline, they will have identical
In the context of momentum, leftward momentum should equal rightward momentum. This is chapter 1.2. That ought to be 1.8 kg into two meters per second. Finally, this we equals 1.8 when two is divided by 1.2, which is 3.0 meters per second.
There are four different challenges in the example given. The first one refers to the initial ball's mass. This is assumed assuming that each person is equivalent to 1.5 telegrams and the second pool ball's mass. M2 is that This also equates to an initial speed of 2.3 kg.
The first pool ball is moving at 25 meters per second, whereas the second pool ball was initially at rest. The first ball ultimately comes to rest after colliding with the second pool ball, becoming zero, and we must determine the second ball's final speed. To do this, we will apply the principle of conservation of linear momentum, which states that the linear momentum of both balls remains constant.
The balls before to impact indicate M 1. We have a total of two from one plus M. That corresponds to the ultimate momentum and one we F plus M. This is 1.5 kg in 2 25 m per second plus zero, and we need to plug in all the known variables. For the first ball after coalition because it comes to rest Plus 2.3 kg Into VF two, it will be zero for the second ball is equal to here.
Lasting Speed of Second Pool Ball. Therefore, it works out to be 2.3 kg into VF 2. And canceling this kilogram here, it is equivalent to 37.5 kilogram meters per second.
The answer to the first problem supplied to him now in the second problem, problem number two, mass of the bullet Small, is determined to be equivalent to 16.3 meters per second for the second pool ball. The bullet's speed is five kilograms per second, and the block in which it is implanted has a mass of 0.005 kilograms.
The bullet designated as Small B has an initial speed of 500 m/s and an overall speed of both. The block and bullet that are absent. We need to locate it.
Since the blocks were released earlier and the spring was also handled, their initial momentum was zero. Eventually, they began to move in the other direction. hence where momentum is concerned, leftward momentum should equal rightward momentum. This is chapter 1.2. That ought to be 1.8 kg into two meters per second. Finally, this we equals 1.8 till two divided by 1.2 results in a speed of 3.0 meters per second.
To know more about momentum click on the link:
https://brainly.com/question/24030570
#SPJ4
What does it mean when the wave
crests of a transverse wave move
closer together?
A. The amplitude is getting bigger.
B. The amplitude is getting smaller.
C. The wavelength is getting smaller.
D. The wavelength is getting bigger.
When the wave crests of a transverse wave move closer together it means the wavelength is getting smaller.
Briefing :The wavelength of a transverse wave is the distance from one peak to the next or from one dip to the next. The wavelength gets shorter as the crests or troughs get closer together. The wavelength increases as the distance between the crests and troughs increases.
How wavelength affect a transverse wave?One way to gauge the size of waves is by their wavelength. It is the separation of two matching waves' neighboring points. In a transverse wave, the medium's particles vibrate up and down perpendicular to the wave's path of propagation. A longitudinal wave's wavelength can be calculated as its length. A crest and a trough make up a transversal. The largest upward displacement is at the crest, while the maximum downward displacement is at the dip.
To know more about crests :
https://brainly.com/question/13649407
#SPJ9
Answer:
C. The wavelength is getting smaller.
Explanation:
earth moves about 67,000 mph relative to the sun. when you jump upward in front of a wall, the wall doesnt slam into you at 67,000 mph because the wall
When you jump upward in front of a wall, the wall does not slam into you at 67,000 mph because the wall and you are moving at the same speed, before, during, and after your jump.
Taking the Sun as a reference, the speed of the earth is 67,000 mph. This means that everything on the earth is also moving at a speed of 67,000 mph relative to the Sun.
So, the reason you don't slam into the wall is that you and the wall are both moving at the same speed of 67000 mph relative to the Sun.
If you need to learn more about relative speed, click here
https://brainly.com/question/14452111?referrer=searchResults
#SPJ4
Which statement best describes the difference between a physical change and a chemical change?.
A. A physical change produces a new element, and a chemical change results in a bond breaking between atoms.
B. A physical change is a change from one state of matter to another; a chemical change results in a new substance formed.
C. A chemical change does not result in a new substance being formed, whereas a physical change does.
D. A chemical change results in a new element being formed, and a physical change results in a new compound being formed
After four half-lives (18 billion years), what percent of the original uranium would remain?
Answer:
50%
Explanation:
uranium loses about 12.5% mass in 1 half life
12.5 x 4 = 50
Please answer this for me!
The formula for the covalent compound dichlorine Heptoxite is CL2O6.
Name the first element first then name the second element using the element name stem and the ide suffix. If there are multiple atoms of the first element use the numeric prefix. Always use a numeric prefix for the atomic number of the second element. Dichloroheptoxide is a compound of a clear oily liquid. It is a strong oxidizing agent.
The hardness of a diamond can be read from its crystal structure. Each carbon atom is bound to four other carbon atoms by covalent bonds in a regular tetrahedral structure. Each of these bonded carbon atoms is then further bonded to three other carbon atoms. In the semiconductor industry, chlorine trifluoride is used to clean chemical vapor deposition chambers. Advantageously the semiconductor material can be removed from the chamber walls without the need to dismantle the chamber.
Learn more about Covalent compounds here:-https://brainly.com/question/1621633
#SPJ1
a roller coaster starts at rest at the top of a 51-meter-high frictionless track. at the bottom of the track, what is the approximate speed of the roller coaster?
The approximate speed of the roller coaster is 32m/s.
Considering that the earth and the roller coaster are both parts of one system.
We can use the law of conservation of energy,
This law states that in a system, the sum of total energy is always conserved.
So we can say that the energy at the top of roller coaster will be equal to the energy at the bottom of the roller coaster.
At top, whole energy is potential energy and the bottom whole energy is kinetic energy,
So we can write,
PE = KE
Mgh = 1/2Mv²
Where M is mass of roller coaster,
v is the speed of roller coaster,
g is acceleration due to gravity and,
h is the height of the roller coaster,
Putting all the values,
gh = 1/2v²
v² = 2gh
v² = 2×9.8×51
v² = 999.6
v = 31.61 m/s.
The speed of roller coaster at the end is 32 m/s approx.
To know more about law of energy conservation, visit,
https://brainly.com/question/24772394
#SPJ1
A bicyclist steadily speeds up from rest to 18.0m/s during a 4.40s time interval. Determine all unknowns and answer the following questions.
1. What is the magnitude of the bicyclist's acceleration?
2. How far did the bicyclist travel during this time?
1. The magnitude of the bicyclist's acceleration is 4.09 m/s²
2. The distance travelled by the bicyclist during the time is 39.6 m
1. How to determine the acceleration
We can obtain the acceleration of the bicyclist as illustrated below:
Initial velocity (u) = 0 m/sFinal velocity (v) = 18 m/sTime (t) = 4.40 sAcceleration (a) =?a = (v – u) / t
a = (18 – 0) / 4.40
a = 18 / 4.40
a = 4.09 m/s²
Thus, the acceleration of the bicyclist is 4.09 m/s²
2. How to determine the distance travelled
The distance travelled by the bicyclist can be obtained as follow:
Initial velocity (u) = 367 m/sFinal velocity (v) = 0 m/s (at maximum height)Acceleration(a) = 4.09 m/s²Distance (s) =?v² = u² + 2as
18² = 0² + (2 × 4.09 × s)
324 = 0 + 8.18s
324 = 8.18s
Divide both side by 8.18
s = 324 / 8.18
s = 39.6 m
Learn more about acceleration:
https://brainly.com/question/491732
#SPJ1
an object of unknown weight is suspended as shown. the tension in rope 1 is 25N and the tension in rope 2 is 31N. what is the weight of the suspended object?
The weight of the suspended object is determined as 39.82 N.
What is resultant force?The resultant force is described as the total amount of force acting on the object or body along with the direction of the body.
The weight of the suspended object is equal to the resultant force of the tension in the two ropes.
Let the resultant force = W
The value of of the resultant force is calculated as follows;
W² = 25² + 31²
W² = 1,586
W = √1586
W = 39.82 N
Thus, the weight of the suspended weight will be greater than the tension in each rope.
Learn more about tension in ropes here: https://brainly.com/question/187404
#SPJ1
Which part of this graph is chart junk?
Answer:
B) the dramatic background picture that beautifies the graph
Explanation:
Chart junk is extra features that do not contribute to the data presented.
describe the techniques that industries can use to conserve water.
I have to get it done right now
Answer:
reducing water use, recycling water, install basic water-efficient technologies, and reusing water.
Which equation shows that mass is conserved in the chemical
reaction?
a 3N₂ + H₂ → 2NH3
b N₂ + H₂ → NH3
c N₂ + 2H2 → 3NH3
d N₂ + 3H2 → 2NH3
d N₂ + 3H2 → 2NH3 equation shows that mass is conserved in the chemical reaction
What is the law of mass conservation?According to the rule of conservation of mass, mass is neither generated nor destroyed during a chemical process. For instance, when coal is burnt, the carbon atom in it transforms into carbon dioxide.
According to the law of conservation of mass, a chemical reaction will not cause a change in the mass of a closed system. Mass just moves; it is neither generated nor destroyed.
Understanding and producing different chemical reactions depend heavily on this rule. Researchers might anticipate how much the result would be if they knew the names and amounts of the reactants for each reaction.
Learn more about law of mass conservation refer
https://brainly.com/question/15289631
#SPJ13
a baseball mass 220.00 g approaches a bat horizontally at a speed of 32.20 m/s and is hit straight back at a speed of 54.50 m/s . if the ball is in contact with the bat for a time of 1.50 ms, what is the average force exerted on the ball by the bat? neglect the weight of the ball, since it is so much less than the force of the bat. choose the direction of the incoming ball as the positive direction.
According to the given statement F = -12716 N is the average force exerted on the ball by the bat.
What does "average force" mean?The average force is the force applied by an object traveling over a specific period of time at a given rate of speed, or velocity. This velocity is not immediate or precisely calculated, even as word "average" implies.
Briefing:m = 220 g = 0.22 kg
v[tex]_1[/tex] = 32.20m/s
v[tex]_2[/tex] = -54.50 m.s
t = 1.5 ms = 1.5 * 10⁻³
To find the average force exerted on the ball.
If we use the impulse-momentum theorem,
F = mv[tex]_2[/tex] - mv[tex]_1[/tex]/t
Now, we have to substitute values in equation 11:
[tex]$F=\frac{0.22 \mathrm{~kg} \cdot\left(-54.5 \frac{\mathrm{m}}{\mathrm{s}}\right)-0.22 \mathrm{~kg} \cdot\left(32.2 \frac{\mathrm{m}}{\mathrm{s}}\right)}{1.5 \cdot 10^{-3} \mathrm{~s}}$[/tex]
F = -12716 N
To know more about average force visit:
https://brainly.com/question/24704743
#SPJ9
When participating in a fitness evaluation, it's important to familiarize yourself with the events included in the evaluation
Please select the best answer from the choices provided.
T
F
When participating in a fitness evaluation, it's important to familiarize yourself with the events included in the evaluation. This is a true statement.
What is fitness evaluation?Fitness evaluation is a type of test that is being carried out to assess the physical fitness of an individual in various areas such as:
Flexibility, Muscular strength and endurance, and Aerobic capacity.The events that can be used to evaluate fitness of an individual include the following:
Speed test,Flexibility testCardiovascular endurance test,Strength tests.To attain a maximum result, the individual that would be involved in the evaluation exercise should get acquainted with the test for a maximum positive outcome.
Learn more about flexibility tests here:
https://brainly.com/question/1682830
#SPJ1
A car starts from rest and accelerates to it’s top speed of 50 m/s. If it accelerates at a uniform rate of 3 m/s2, then how long will it take to reach its’ top speed?
a rigid, 10 m3 vessel initially contains 100kg of water/ steam at p 5 2 bar. 10 kilograms of steam at p 5 5 bar and t 5 3008c is gradually added to the vessel. during the same time period, heat exchange occurs with the surroundings. the final water/steam mixture is at p 5 3 bar.
The resulting energy balance is q= -9623kj
What is resulting energy ?
resulting energy sorted in objects , molecules and atom , energy take many different forms .
It can be converted one into another .
Solution -
The vessel is 10m^3 and initially contains 100 kg of stream. so we can get
V= 0.1 m^3/kg
Between specific value and saturated liquid and saturated vapour at p= 2
So q = 0.112
Is rigid so the final mixture which has a mass of 110kg
Q= 0.149
Start with the independent energy balance it state that
- this is not a steady state process.
-please visit so no expension work.
-no mention of moving parts.
Thus the final result energy balance is - q= -9623 kj
To know more about energy balance click
https://brainly.com/question/1433280
#SPJ9
What is the speed of a truck traveling 10km in 10 minutes
Answer: 58.8235 km/h
speed = distance/time
the distance is 10 km
the time is 10 minutes
the unit is not correct, so we first change minute to hour
so 10/60 is 0.166667, rounded to 0.17.
10 km/ 0.17 hours =
1. Two particles are placed in a line 90.0 cm apart. One particle, q1, has a charge of 1.0 μC and the
other, q2, 3.0 μC. How far from q1 should a third charge of 2.0 μC be placed, so that the forces
acting on it are equal? HELPP
Two friction less blocks, having masses of 8.0 kg and 2.0 kg, rest on a horizontal surface. If a force applied to the 8.0 kg block gives it an acceleration of 3.0 m/s2, then the same force will give the 2.0 kg block an acceleration of ________
The acceleration that is produced by the 2 Kg force is 12 m/s^2.
What is the force?We know that from the Newton first law, it is the magnitude of the force that is imparted to a body that produces the given acceleration. It is now safe to say that the force that is exerted on a body is directly proportional to the acceleration of the body. This is the fall out that we can take from the Newton law as stated above.
In this case, we have seen that the Two friction less blocks, having masses of 8.0 kg and 2.0 kg, rest on a horizontal surface.
Now;
F = ma
F = force
m = mass
a = acceleration
F = 8.0 kg * 3.0 m/s2
F = 24 N
We are told that the same force was applied to the 2 Kg mass
a = F/m
a = 24 N/2 Kg
a = 12 m/s^2
Learn more about acceleration:https://brainly.com/question/12550364
#SPJ1
A 1.0 metre wooden ruler is damaged and no longer uniform. The mass of the ruler is 11.5 G the ruler is balanced on a pivot with a 50 gram mass as shown.
Where is the centre of gravity of the ruler?
A: At the 13cm mark
B: At the 42cm mark
C: At the 60cm mark
D: At the 68cm mark
The mass of the ruler is 5.75 grams
It is given that
length of wooden ruler = 1 m
mass of ruler = 11.5 gram
mass of pivot = 50 gram
1 m = 100 cm
T = T X F
Let M grams be the ruler's mass. The ruler's centre of mass is located there.
As a result, the ruler's centre of mass is 100 cm distant from the hin-ge.
The ruler's equilibrium position is agiven.
adjusting the tor-ques at the hin-ge caused by the 50-gram mass dangling from the ruler and the rod's mass:
50*11.5 = M*100
M = 5.75 grams.
Hence, the mass of the ruler is 5.75 grams
Learn more about Mass here:
https://brainly.com/question/19385703
#SPJ13
Work out the specific heat capacity of a substance if it takes 5,200J of energy to heat 2kg of it from 42°C to 47°C.
Answer:
specific heat capacity = 5 J/kg °C
Explanation:
To calculate the specific heat capacity of a substance, we can use the following formula:
[tex]\boxed{c= \frac{Q}{m \Delta T}}[/tex],
where:
• c = specific heat capacity
• Q = heat energy
• m = mass of substance
• ΔT = change in temperature
We know from the question that Q = 5200J, m = 2kg, and ΔT = 47 - 42 = 5°C.
Using this information as well as the formula above, we can calculate the specific heat capacity of the substance:
c = [tex]\frac{5200\ \mathrm{J}}{2\ \mathrm{kg} \times 5^{\circ}\mathrm{C}}[/tex]
= 5 J/kg °C
Therefore the specific heat capacity of the substance is 5 J/kg °C.
Answer: 520 J
Explanation:
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Which element does NOT have similar chemical properties to neon (Ne)?
A. F
B. Ar
C. Xe
D. He
The moment a
soccer player kicks a
ball. Time interval or a time instant? (Please give me the right answer)
Acceleration: the rate at which the speed and direction of a moving object vary over time.
What kind of motion is it when you kick a ball?After that, we'll describe the necessary kind of force. Complete response: Foot muscles are used to kick a football. Muscular force is hence the type of force used.
It is a multi-joint movement that requires the synchronization of several stabilizing and neutralizing muscles, mainly those in the hip and leg. Power and accuracy must be combined for a successful football kick, and depending on the technique, it may be either forceful or accurate.
Acceleration. The soccer ball would be kicked in this scenario, and the ball would move as a result of the motion. Kicking the soccer ball causes it to accelerate. When kicking a soccer ball, the average acceleration is roughly 8 meters per second.
Therefore, the imbalanced force is what causes the football to move, and it also affects the football when we kick it. As a result, option (B) is true since kicking a football is an example of unbalanced force.
To Learn more About Acceleration, Refer:
https://brainly.com/question/460763
#SPJ13