a uniform meter stick of mass 24 g with two weights hanging from it is balanced on a knife edge at the 40 cm mark. a weight of mass 96 g hangs from the 9 cm mark. at which cm mark must the other weight of mass 96 g be located to keep the meter stick balanced?
Answers
The second weight of mass 96 g must be located at the 9 cm mark on the meter stick to keep it balanced.
To determine the location of the second weight that will keep the meter stick balanced, we need to consider the principles of equilibrium.
The weight of the meter stick can be calculated as follows:
Weight of meter stick = mass * acceleration due to gravity
= 24 g * 9.8 m/s^2
= 235.2 N
The total weight of the two hanging weights is 96 g + 96 g = 192 g = 1.92 N.
The sum of the forces acting on the meter stick is equal to zero when:
235.2 N + 1.92 N = 0
This equation tells us that the sum of the forces acting on the meter stick is equal to zero when the total weight of the two hanging weights is equal to the weight of the meter stick.
To determine the location of the second weight, we also need to consider the moments about the pivot point. The moment of a force is calculated as the product of the force and the distance from the pivot point. The moments about the pivot point are equal to zero when the sum of the moments of the forces on one side of the pivot point is equal to the sum of the moments of the forces on the other side of the pivot point.
The moment of the weight of the meter stick about the pivot point is calculated as follows:
Moment of the weight of meter stick = force * distance from pivot point
= 235.2 N * 0.4 m
= 94.08 N*m
The moment of the weight hanging from the 9 cm mark about the pivot point is calculated as follows:
Moment of weight hanging from 9 cm mark = force * distance from pivot point
= 1.92 N * 0.09 m
= 0.1728 N*m
To keep the meter stick balanced, the moment of the second weight must be equal in magnitude but opposite in direction to the moment of the weight hanging from the 9 cm mark. The moment of the second weight can be calculated as follows:
Moment of second weight = force * distance from pivot point
= 1.92 N * distance from pivot point
Substituting the value of the force and setting the moment equal to the negative of the moment of the weight hanging from the 9 cm mark, we get the following equation:
1.92 N * distance from pivot point = -0.1728 N*m
Solving for the distance from the pivot point, we find that the second weight must be located at a distance of 0.09 m from the pivot point, or 9 cm. This is the same distance from the pivot point as the weight hanging from the 9 cm mark.
Therefore, the second weight of mass 96 g must be located at the 9 cm mark on the meter stick to keep it balanced.
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Related Questions
A quarterback takes the ball from the line of scrimmage, runs backward for 5 yards, and then runs sideways parallel to the line of scrimmage for 10 yards. At this point, he throws a
45 yard forward pass straight down the field. What is the magnitude of the football's resultant displacement?
(?) yards
Answers
42.72 yards . FULL SOLUTION BELOW IN THE IMAGE ..
How far is the quarterback from the line of scrimmage?In an American football game, the quarterback receives the ball at the line of scrimmage and runs 10.0 yards backward before running 15.0 yards sideways parallel to a line of scrimmage.
What is a line of scrimmage in football?A lines of scrimmage is football is an imaginary line that runs perpendicular to the goal lines & tangent to a nose of the ball when it is placed on the ground. It designates where the ball should be at the beginning of each down.
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If you need 1 frame, 2 wheels, 1 seat, and 2 pedals to make a bicycle, what is your limiting reactant if you have the following materials?
a. 5 frames
b. 10 seats
c. 16 wheels
d. 20 pedals
Answers
The limiting reactant is the material that is in the shortest supply and will run out first, thus limiting the production of the bicycle. To determine the limiting reactant, we need to calculate how many bicycles we can make with each material:
a. With 5 frames, we can make a maximum of 5 bicycles.
b. With 10 seats, we can make a maximum of 10 bicycles.
c. With 16 wheels, we can make a maximum of 8 bicycles (since each bicycle requires 2 wheels).
d. With 20 pedals, we can make a maximum of 10 bicycles (since each bicycle requires 2 pedals).
Therefore, the limiting reactant is c. 16 wheels, as we can only make a maximum of 8 bicycles with this amount of wheels, even though we have enough of all the other materials to make 10 bicycles.
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Un objeto de 1.50 kg se mantiene 1.20 m sobre un resorte vertical relajado sin masa con una constante de fuerza de 320 N/m. Se deja caer el objeto sobre el resorte. ¿Cuánto comprime al resorte?
Answers
Answer:
El resorte se comprime 0.38 m.
Explanation:
La distancia de compresión del resorte se puede calcular por conservación de la energía:
\( \Sigma E_{i} = \Sigma E_{f} \)
\( E_{p} = E_{e} \)
\( mgh = \frac{1}{2}kx^{2} \) (1)
En donde:
\(E_{i}\) y \(E_{f}\): son las energías inciales y finales
\( E_{p}\): es la energía potencial gravitacional
\(E_{e}\): es la energía potencial elástica
m: es la masa = 1.50 kg
g: es la gravedad = 9.81 m/s²
h: es la altura
k: es la constante de fuerza = 320 N/m
x: es la distancia de compresión
Dado que el objeto está 1.20 m sobre el resorte, entonces h es:
\( h = 1.20 + x \) (2)
Entonces, introduciendo la ecuación (2) en (1) y resolviendo para x tenemos:
\( \frac{1}{2}kx^{2} - xmg - 1.20mg = 0 \)
\( 160x^{2} - 14.72x - 17.66 = 0 \)
Resolviendo la ecuación cuadrática anterior tenemos:
x₁ = -0.29 y x₂ = 0.38
Tomando el valor positivo entonces, el resorte se comprime 0.38 metros.
Espero que te sea de utilidad!
if potential difference across a lightbulb is 12 V, what amount of charge is required to transfer 60 J of energy to the lightbulb
Answers
Reason: trust
Answer:
Explanation:
Given:
U =12 V
E = 60 J
________
q - ?
E = U·I·t
q = I·t
E = U·q
q = E / U = 60 / 12 = 5 С
The image above shows a crash test dummie's head traveling at -1.005 m/s while striking a headrest from a car traveling 4.524 m/s with a mass of 2005.6 kg. If the crash test dummie's head head bounces off the headrest with a 9.965 m/s and the car continues traveling at 4.487 m/s, calculate the mass of the crash test dummie's head?
Answer:
Answers
From the calculation, the mass of the dummies head is 1647.44 Kg
What is the mass of the crash test dummies head?We know that the momentum after collision is equal to the momentum before collision.
Mass of the headrest = 2005.6 kg
Initial velocity of the head rest = 4.524 m/s
Final velocity of the head rest = 4.487 m/s
Mass of the dummy = m
Initial velocity of the dummy = -1.005 m/s
Final velocity of the dummy = 9.965 m/s
Then;
(m * -1.005) + (2005.6 * 4.524 ) = (2005.6 * 4.487) + (m * 9.965)
-1.005m + 9073.33 = 8999.13 + 9.965m
9073.33 - 8999.13 = 9.965m + 1.005m
18072.46 = 10.97m
m = 18072.46/ 10.97
m = 1647.44 Kg
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given a map with isallobars, where will high and low pressure systems move?
Answers
Isallobars are lines that represent equal pressure change over a period of time, and high and low-pressure systems can be analyzed by studying the movement of these isallobars. The air pressure in an area is what drives the wind, and the movement of the wind moves air pressure systems, both high and low, from one location to another.
Isallobars are lines on a weather map that indicate the amount of pressure change that has taken place over a given amount of time. For example, if the pressure has decreased by 3 mb over a 6 hour period, an isallobar line would be drawn to indicate this. The isallobar lines are used to help meteorologists forecast the movement of high and low-pressure systems.
Isallobars show how much the atmospheric pressure has changed over time. They are drawn on weather maps to indicate how much the pressure has risen or fallen over a period of time. Isallobars depict pressure tendencies and therefore allow for the identification of regions where high and low-pressure systems will move. It is important to note that the general direction of isallobars is not necessarily the same as the wind direction.
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the energy of a mid-latitude cyclone comes mainly from:
Answers
The energy of a mid-latitude cyclone primarily comes from the temperature contrast between warm and cold air masses.
Mid-latitude cyclones, also known as extratropical cyclones or low-pressure systems, are large-scale weather systems that form in the middle latitudes. These cyclones derive their energy from the horizontal temperature gradient, which is the difference in temperature between warm and cold air masses. This temperature contrast creates a region of unstable air that fuels the cyclone's development.
As warm and cold air masses interact, they create a boundary known as a frontal zone. The warm air rises along the leading edge of the cold air, resulting in the formation of a warm front. The rising warm air cools and condenses, leading to the development of clouds and precipitation. The contrast in temperature and density between the warm and cold air masses generates a pressure gradient, which causes the air to circulate cyclonically around the low-pressure center.
The energy released in this process is derived from the conversion of potential energy to kinetic energy as the air masses move and interact. The temperature difference between the air masses provides the necessary fuel for the cyclone to intensify and maintain its structure. Therefore, the primary source of energy for mid-latitude cyclones is the temperature contrast between warm and cold air masses.
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A ball is thrown horizontally at a height of 1.6 metres above the ground, with initialspeed 14 m s^-1a)Find the time of flight of the ball, giving the answer as a fraction.b)Find the range of the ball.
Answers
Given:
The initial height of the ball, h=1.6 m
The initial speed of the ball, u=14 m/s
To find:
a) The time of flight of the ball.
b) The range of the ball.
Explanation:
As the ball is thrown horizontally, the ball will have no vertical component of the initial velocity. The velocity of the ball is completely horizontal.
Thus the vertical component of the initial velocity of the ball is u_y=0 m/s.
The horizontal component of the initial velocity of the ball is u_x=u=14 m/s.
a)
From the equation of motion,
\(h=u_yt+\frac{1}{2}gt^2\)Where g is the acceleration due to gravity and t is the time of flight of the ball.
On substituting the known values,
\(\begin{gathered} 1.6=0+\frac{1}{2}\times9.8\times t^2 \\ \implies t=\sqrt{\frac{2\times1.6}{9.8}} \\ =0.57\text{ s} \end{gathered}\)b)
The range of the ball is given by,
\(R=u_xt\)On substituting the known values,
\(\begin{gathered} R=14\times0.57 \\ =7.98\text{ m} \end{gathered}\)Final answer:
a) The time of flight of the ball is 0.57 s
b) The range of the ball is 7.98 m
Determine the frequency of an electromagnetic wave with a wavelength of 3. 40x10-6 meters
Answers
The frequency of the electromagnetic wave with a wavelength of 3.40 x \(10^{-6}\) meters is approximately 8.82 x \(10^{13}\) Hz.
The wavelength of the electromagnetic surge in the presented situation is3.40 x\(10^{-6}\) metres. We may cipher the frequence by fitting this number into the equation f = c/. It's 8.82 x 1013 Hz. This indicates that the electromagnetic surge with a wavelength of3.40 x \(10^{-6}\) metres has a terahertz frequence.
Electromagnetic swells of colorful wavelengths and frequentness have different rates and are employed for a variety of purposes. Radio swells, for illustration, have long wavelengths and low frequentness, making them ideal for carrying data across large distances. X-rays, on the other hand, have short wavelengths and high frequentness that enable them to access accoutrements and give detailed filmland of the mortal body.
f = c / λ
f = 3.00 x \(10^{8}\) m/s / 3.40 x \(10^{-6}\) m
f = 8.82 x\(10^{13}\) Hz
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If you could take an escalator up the stairs instead of walking, how much work would the escalator do compared to your walking up the stairs?
Answers
The amount of work required to climb steps or to remain motionless while mounting a moving escalator is the same in both situations, however in the first case, the effort is in pushing the body upward, whereas in the second, it is in pushing the escalator downward.
What is work?In physics, the term "work" refers to the measurement of energy transfer that takes place when an item is moved over a distance by an external force, at least a portion of which is applied in the direction of the displacement.
The length of the path is multiplied by the component of the force acting along the path to calculate work if the force is constant. The work W is theoretically equivalent to the force f times the distance d, or W = fd, to represent this idea. Work is done when a force is applied at an angleα of to a displacement, or W = fd cosα.
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Russia shut off the nord stream pipeline that supplies which nation with natural gas?.
Answers
Russia shut off the Nord Stream pipeline that supplies natural gas to Germany.
What is the Nord Stream pipeline?
A pair of offshore natural gas pipeline systems in Europe called Nord Stream cross the Baltic Sea from Russia to Germany. It consists of the Nord Stream 1 and Nord Stream 2 pipelines, both of which originate in northwest Russia, near Finland, in Vyborg and Ust-Luga, respectively. Both pipelines travel to Lubmin in the Mecklenburg-Vorpommern state of northeastern Germany.
Due to Russia's invasion of Ukraine, certification for Nord Stream 2 has been rejected. When referring to a larger network of pipelines, such as the feeding onshore pipeline in Russia and additional connections in Western Europe, the term "Nord Stream" is sometimes used.
Nord Stream joins the NEL pipeline to Rehden near Bremen in northwestern Germany and the OPAL pipeline to Olbernhau in eastern Germany at the Czech border in Lubmin.
Thus, the Nord Stream pipeline supplies natural gas to Germany.
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balance the following equations: CUCO3+H2SO4- CUSO4+H2O+CO2
Answers
Answer:
It is already balanced
Explanation:
It is already balanced
Which two statements are true about the wave shown?
Answers
Answer: The correct answers are C. and D.
Explanation:
In a hard disk drive, a constant torque of 14 N⋅m is applied to the magnetic disk when the drive starts recording data. The magnetic disk has a mass of 0.2 kg and radius 2m. Determine the magnitude of the angular acceleration of the disk? [please solve if you know]
Answers
The magnitude of the angular acceleration of the magnetic disk is determined as 35 rad/s².
Angular acceleration of the disk
The angular acceleration of the disk is determined from the principle of conservation of angular momentum as follows;
τ = Iα
where;
α is angular acceleration
I is moment of inertia of the disk
I = 0.5MR²
I = 0.5 x 0.2 x 2²
I = 0.4 kgm²
τ = Iα
α = τ/I
α = (14)/(0.4)
α = 35 rad/s²
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+ 9. What force (in units of Newtons) is needed to give a 3.5 m/s" acceleration to a 1200 kg car?
Answers
Answer:
4200 Newtons
Explanation:
Force = mass x acceleration
1200 x 3.5 = 4200
Hurricanes build over warm ocean water. What else has to be present for a hurricane to form?
Answers
Determine the average speed of an object that travels 200 miles in 4 hours.
Answers
Answer:
The average speed is 50 miles per hour
Explanation:
Speed is equals to distance divided by time
Then substitute your variables into the equation
Hope this helps
please mark as brainliest
You are part of a police unit that has found a powder in a suspect's home. You think it might be a new drug called XYZ. XYZ is an ionic compound that dissolves in water. However, what you think might be a drug may just be salt. Unfortunately there seems to be iron fillings and sand mixed in with the white powder. Your job is to isolate the white powder before sending it to the police lab to be tested to determine if it is salt or XYZ. Give step by step directions on exactly how you will separate your mixture of white powder, iron fillings, and sand.
Answers
Answer i would use a magnent first to take out the iron then boil the salt and sand mixture until the salt dissolves and its just sand left
Explanation:
A system in which only one particle can move has the potential energy shown in (figure 1). Suppose u1 = 60 j. What is the y-component of the force on the particle at y = 0. 5 m ?.
Answers
The y-component of the force on the particle at the given position is 120 N.
Electric force on the particle
The electric force on the particle is determined by applying Coulomb's law and work-energy theorem as shown below;
Fd = W
Where;
F is the applied forced is the distanceW is potentialF = W/d
F = 60/0.5
F = 120 N
Thus, the y-component of the force on the particle at the given position is 120 N.
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Net force of on a vehicle that is accelerating at a rate of one. 5 M/S squared is 1999 N what is the mass of the vehicle to the nearest kilogram
Answers
Since we want to find the mass we can rearrange to make m = F/a.
If we plug in the value we get 1999/1.5 which will give us 1332.666…kg and since we want it to the nearest kilogram we must round it to 1333kg.
Hope this helps
right before a falling ball hits the ground, what type of energy is highest?
Answers
Answer: Kinetic Energy
Explanation: This energy would be the highest because it is when the falling ball would be moving the fastest.
a ball is attached to the end of a string. it is swung in a vertical circle of radius 0.75 m. what is the minimum velocity that the ball must have to make it around the circle
Answers
Therefore, mgh = (1/2)mv^2
Solving for v, we get:
v = sqrt(2gh)
Substituting the given values, we get:
v = sqrt(2 x 9.81 m/s^2 x 0.75 m) ≈ 3.43 m/s
Therefore, the minimum velocity that the ball must have to make it around the circle is approximately 3.43 m/s.
What is another term for weak solutions?
A.
supersaturated solutions
B.
concentrated solutions
C.
dilute solutions
D.
saturated solutions
Answers
Answer:
c
Explanation:
diluted means weakened
Another term for weak solutions is dilute solution. Thus, the correct option for this question is C.
What is a weak solution?A weak solution may be defined as a type of solution that significantly partially dissociates into its ions in an aqueous solution or water. In contrast, a strong solution fully dissociates into its ions in water.
The concentration of the weak solution is found to be lower as compared to the strong solution. The word dilute also symbolizes the presence of less concentration in any solution.
The main difference between weak and strong solutions is true that for strong solutions we are given a Brownian motion on a given probability space whereas for weak solutions we are free to choose the Brownian motion and the probability space.
Therefore, another term for weak solutions is dilute solution. Thus, the correct option for this question is C.
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3.2 Section Review 1. What are the units of energy and what do they mean? 2. What is work in physics and what is the relationship between work and energy? 3. How can you increase an object’s potential or kinetic energy? 4. What happens to the kinetic and potential energy of a ball as it falls toward the ground? 5. Explain what it means to say energy is conserved.
Answers
Answer:
thanks
Explanation:
Which law represents a balanced chemical equashion
Answers
Answer:
law of conservation of mass
Explanation:
hope that helped :)
Which chamber of the heart receives blood with sugar and high oxygen levels from the lungs? A. left atrium B. right atrium C. left ventricle D. right ventricle
Answers
Answer:
left atrium
Explanation:
its the first chamber of the heart to receive oxygenated blood from the lungs
The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be
Answers
The exact same. gravity has no effect on mass.
Answer:
The acceleration due to gravity on Pluto is less than that on the Earth. The mass of a person on Pluto will be LessExplanation:
Describe different types of motion with examples. (4)
(b) difference between scalar and vector. (2)
(c) A car has a velocity of 10 ms-1
. It accelerates at 0.2 ms-2
for half minute. Find the distance
Answers
Answer:
a)
there r two types of motion, uniform and non-uniform
uniform means equal distance travelled at equal intervals of time
and non-uniform is exactly the opposite.
b)
quantities which can be represented by magnitude along r called scalar quantities such as speed.
quantities which need magnitude along with direction r called vector quantities such as velocity.
c)
velocity=10m/s
acceleration = u-v/s i.e initial final velocity - initial velocity upon time
acceleration= 0.2m/s sq
time= 30s
10 = displacement/time
10 = x/30
10 = 300
Answer is 300 meters - distance/displacement.
How much work is done using a 500-watt microwave oven for 5 minutes?
Answers
The amount of work that is done using a 500-watt microwave oven for 5 minutes is 150,000 J.
How to calculate work done?Work is a measure of energy expended in moving an object. It is generally said that "no work is done if the object does not move".
Power is a measure of the amount of work that can be done in a given amount of time. It can be represented by the following equation:
Power (J/s) = Work done (J) / time (s)
This means that work done = power × time
According to this question, a 500-watt microwave oven is used for 5 minutes. The amount of work done can be calculated as follows:
Work done = 500W × 300s
Work done = 150,000 J
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Explain perfectly elastic collision
Answers
A collision that is fully elastic is one where there is no kinetic energy lost during the contact. In an inelastic collision, a proportion of the energy is converted into another kind of energy during the contact.
Give an example of an absolutely elastic collision?In elastic collisions, kinetic energy and momentum are both conserved. Consider two similar trolleys that are moving in the same direction at the same pace. With no loss of speed, they collide and bounce off one another. Since no power has been lost, this collision is fully elastic.
What is an absolutely inelastic collision?photo of A description of completely elastic collision
When a system's maximal quantity of kinetic energy is equal to zero, a relatively inelastic collision takes place.
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A collision that is fully elastic is one where there is no kinetic energy lost during the contact. In an inelastic collision, a proportion of the energy is converted into another kind of energy during the contact.
Give an example of an absolutely elastic collision?In elastic collisions, kinetic energy and momentum are both conserved. Consider two similar trolleys that are moving in the same direction at the same pace. With no loss of speed, they collide and bounce off one another. Since no power has been lost, this collision is fully elastic.
What is an absolutely inelastic collision?photo of A description of completely elastic collision
When a system's maximal quantity of kinetic energy is equal to zero, a relatively inelastic collision takes place.
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