An 80g meter stick is supported at its 30 cm mark by a string attached to the ceiling. A 20 g mass is hung from the 80 cm mark what mass should be hung at the 5 cm mark on the meter stick to keep it horizontal and in equilibrium?
Answers
Answer:
[tex]104\; {\rm g}[/tex], assuming that the meter stick is uniform with the center of mass precisely at the [tex]50\; {\rm cm}[/tex] mark.
Explanation:
Refer to the diagram attached. The meter stick could be considered as a lever. The string at the [tex]30\; {\rm cm}[/tex] mark would then act as the fulcrum of this lever.
The [tex]m_{A} = 20\; {\rm g}[/tex] mass at the [tex]80\; {\rm cm}[/tex] mark is at a distance of [tex]r_{A} = 50\; {\rm cm}[/tex] to the right of the fulcrum at [tex]30\; {\rm cm}[/tex].
The weight of the [tex]80\; {\rm g}[/tex] meter stick acts like a weight of [tex]m_{B} = 80\; {\rm g}[/tex] attached to the center of mass of this meter stick. Under the assumptions, this center of mass of this meter stick would be at the [tex]50\; {\rm cm}[/tex] mark, which is [tex]r_{B} = 20\; {\rm cm}[/tex] to the right of the fulcrum at [tex]30\; {\rm cm}[/tex].
Let [tex]m_{C}[/tex] be the mass attached to the meter stick at the [tex]5\; {\rm cm}[/tex] mark. This mass would be at a distance of [tex]r_{C} = 25\; {\rm cm}[/tex] to the left of the fulcrum at [tex]30\; {\rm cm}[/tex].
At equilibrium:
[tex]\begin{aligned} & m_{C}\, r_{C} && (\text{mass on the left of fulcrum})\\ &= m_{A}\, r_{A} + m_{B} \, r_{B} && (\text{mass on the right of fulcrum})\end{aligned}[/tex].
Solve for [tex]m_{C}[/tex], the unknown mass attached to the meter stick at the [tex]5\; {\rm cm}[/tex] mark:
[tex]\begin{aligned}m_{C} &= \frac{m_{A}\, r_{A} + m_{B}\, r_{B}}{r_{C}} \\ &= \frac{20\; {\rm g} \times 50\; {\rm cm} + 80\; {\rm g} \times 20\; {\rm cm}}{25\; {\rm cm}} \\ &= 104\; {\rm g}\end{aligned}[/tex].
Related Questions
An astronaut is planning a trip to a newly-discovered planet. According to 2 points
the Law of Universal Gravitation, the astronaut's weight on the new planet
will be greater than his weight on Earth if:
-the new planet has less gravity than Earth.
-the new planet has the same gravity as Earth.
-the new planet has more gravity than Earth.
-the gravity of the planet doesn't matter.
-Weight is the same everywhere in the
universe.
Answers
Answer:
The new planet has more gravity
Explanation:
gravity force = G m1 m2 / r^2
decresing r or increasing the planet mass will increase the force
what is the force acting on an object with a mass of 150 kg starting from rest and traveling 15m/s in 250s?
Answers
Answer:
9N
Explanation:
F = ma
F = 150kg × (15 - 0)m/s / 250s
F = 9N
Which sentence correctly uses a comma to separate coordinate adjectives?
Answers
Answer:
..
Explanation:
Coordinate adjectives are adjectives that describe the same noun equally. They should be separated with commas. In this sentence, both red and round are describing the ball. The correct answer is, "The red, round ball is Adley's favorite toy to play with."
Two springs are attached to two hooks. When equal weights are suspended from each spring, both stretch the same amount. What can be assumed about the force constants of both?
Answers
It can be assumed that the spring constant will be same.Because the weight applied and the extension is same
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
Two springs are attached to two hooks. When equal weights are suspended from each spring, both stretch the same amount.
Extensions will be greater in spring B than in spring A.Remember that the force constant represents the spring's stiffness,
Hence It can be assumed that the spring constant will be same.Because the weight applied and the extension is same.
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Four identical particles of mass m are mounted at equal intervals on a thin rod of length l and mass m, with one mass at each end of the rod.
Answers
Answer:
Moment of inertia at distance L / 2 from center
I1 = M (L / 2)^2 = M L^2 / 4
I2 = M (L / 6)^2 = M L^2 / 36 at a distance of L / 6
I (1/2 rod) = I1 + I2 = M L^2 (1/4 + 1/36) = M L^2 (9 + 1)/ 36 = 5/ 18 M L^2
I for entire rod = 2 I (1/2 rod) = 5 / 9 M L^2
Why burette calibrated from top to bottom?
Answers
Answer:
In order to measure the amount of solution added in or drained out, the burette must be observed at eye level straight to the bottom of the meniscus. The liquid in the burette should be completely free of bubbles to ensure accurate measurements.
Read the scenario and social media post.
Damien is researching organic gardening, which avoids pesticides—chemicals used to kill harmful insects. While looking for sources, he runs across this social media post.
Answers
Answer:
No answer
Explanation:
Because there is no question
Answer:
C. Biased in favor of pesticides.
Explanation:
What are the assumptions on which the cosmological principle is based?.
Answers
Hope this helps!
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what is the density of an object with mass of 60 g and a volume of 2cm3
Answers
Answer:
D=mass /volume
=60/0.002
=30000
What is the kinetic energy of a 38g soccer ball that is traveling at a speed of 80. m/s? Convert
Answers
Answer:
1.52 JExplanation:
Kinetic energy formula
K.E. = 1/2mv²Given
m = 38 g = 0.038 kg [kg is standard unit]v = 80 m/sSolving
K.E. = 1/2 x 0.038 x 80K.E. = 40 x 0.038K.E. = 1.52 Jm=0.038kg
v=80m/s
Kinetic energy
1/2mv²1/2(0.038)(80)²6400(0.038)/23200(0.038)121.6JA ray of light hits a mirror at 27 degrees from the normal. What is the angle between the reflected ray and the normal?
Answers
That is the answer
Throughout the reflection, make sure you have a copy of the student guide and your data tables. use the drop-down menus to complete the statements. the independent variable in part i, the one that is intentionally manipulated, is the . the independent variable in part ii, the one that is intentionally manipulated, is the . the independent variable in part iii, the one that is intentionally manipulated, is the . the independent variable in part iv, the one that is intentionally manipulated, is the .
Answers
The value of the dependent variable is based upon changes in the values of the independent variable.
What is dependent and independent variable?The term independent variable has to do with the variable that is being intentionally manipulated in an experiment. The dependent variable is the variable that changes in value as the independent variable is manipulated.
Now, the question is unclear however, we do know that in an experiment, the value of the dependent variable is based upon changes in the values of the independent variable.
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Answer:
The independent variable in Part I, the one that is intentionally manipulated, is the
✔ type of material
.
The independent variable in Part II, the one that is intentionally manipulated, is the
✔ charge of an object
.
The independent variable in Part III, the one that is intentionally manipulated, is the
✔ movement of a magnet
.
The independent variable in Part IV, the one that is intentionally manipulated, is the
✔ presence of an electric field
.
Explanation:
The first step in responding to any sports injury is to __________.
A.
remove the danger that lead to the injury
B.
ensure that the player's air way is not obstructed
C.
begin chest compressions for CPR
D.
ask the player to stop playing the sport
Please select the best answer from the choices provided.
A
B
C
D
Answers
Answer:
remove the danger that lead to injury
Explanation:
The best way is
spot the reason for injuryThen try best to remove that cause as fast as possible.Then spot the place of body where injury happenedNOW treat for thatAnswer:
A
Explanation:
The first step in responding to an injury in sports is to remove the danger that led to the injuryB cannot be correct because if an athlete suffers a broken leg you don't check their air ways primarilyC is also not right as that is only when the player is unconsciousD is not right as that is the result of only a very life-threatening injuryA is the right answerYou are generating traveling waves on a stretched string by wiggling one end. If you suddenly begin to wiggle more rapidly without appreciably affecting the tension, you will cause the waves to move down the string.
Answers
Answer:
At the same speed as before
Explanation:
Speed is dependent on the tension in the string, and since the tension isn't changing, the speed of the waves will also not change.
A body moving with an acceleration 2 m/s?then what is the change in velocity in 4sec.
Answers
Answer:
As Per Provided Information
Moving body has 2m/s² acceleration
Time taken by body is 4 second
We are asked to find the 'change in velocity' ( ∆V) by the body.
Formula Used here
[tex] \boxed{\bf{\Delta \: V \: = acceleration \: \times time \:}}[/tex]
Substituting the given value
[tex] \sf\longrightarrow\Delta\:V \: = 2 \times 4 \\ \\ \\ \sf\longrightarrow\Delta\:V \: =8m {s}^{ - 1} [/tex]
Therefore,
Change in velocity is 8 m/s9. If the magnitude of two vectors and their resultant are the same, what is the angle between the two vectors?
Answers
The angle between the two vectors of the same magnitude would be 120 degrees to have the resultants the same.
answer: 120 degrees
Why will a struck tuning fork sound louder when it is held against a table?.
Answers
Answer:
1.)the surface of the table is set into vibration
2.)the initial vibration was larger
3.)The entire table vibrates
Explanation:hope this helps :3 have a good day xlXCherryColaXlx..(pls mark me brainliest)
Is the mass of an alpha particle greater than, less than, or equal to the mass of an electron?.
Answers
The mass of an alpha particle greater than the mass of an electron. Hence option A is correct.
What is alpha particle ?The alpha particle is a positively charged particle that is similar to the nucleus of the helium-4 atom and is spontaneously released by some radioactive substances. It is made up of two protons and two neutrons bonded together and has a mass of four units and a positive charge of two. Ernest Rutherford discovered and named alpha particles (1899), which he and colleagues employed in studies to examine the structure of atoms in thin metallic foils. This investigation produced in the original notion of the atom (1909-11) as a miniature planetary system with negatively charged particles (electrons) circling a positively charged nucleus. Later, in the first artificially created nuclear transmutation (1925), Patrick Blackett blasted nitrogen with alpha particles, converting it to oxygen.
Alpha particle is heavier than the electron cause alpha particle has 2 neutron and two protons which makes it heavier.
Hence option A is correct.
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At the top of the arc of a pendulum the value of the _____ is zero. kinetic energy potential energy acceleration All of the above
Answers
At the top of the arc in a swinging pendulum the value of the kinetic energy is zero.
What is Kinetic energy?This is defined as the energy possessed by a body virtue of its motion or movement.
When a pendulum swings, it possesses kinetic energy which is usually zero at the top of the arc after which it possesses potential energy as a result of the resting position.
Read more about Kinetic energy here https://brainly.com/question/8101588
A 10 ohms, a 7 ohms and a 14 ohms resistor are connected in series with a 24 V battery. Calculate the equivalent resistance. Answer in units of ohms.
Answers
Answer:
31ohms
Explanation:
in a series u add all the ohms together
the mass of an object is 90 kg calculate weight of the same object on the surface of the moon.(acceleration due to gravity on the Moon surface is 1/6 of the value of acceleration due to the Gravity on Earth) also calculate the weight of the same object on earth surface.
Answers
Explanation:
the weight of an object is its force exerted by gravity.
on earth we take gravitational acceleration to be 9.8 m/s^2
so the weight of an object on earth is given by F = mg
hence,
F = 90 × 9.8
F = 882 Newtons (weight on earth)
gravitational acceleration on the moon is equal to 9.8/6. so, we can just use the same formula to find the weight on the moon.
F = 90 × 9.8/6
F = 147 Newtons (weight on the moon)
make sure to ask if you need any further guidance.
W=90*9.8=882N (Earth)
W=90*(9.8/6)=147N (Moon)
Hope this helps
What is the value of a in the function’s equation?
A.
3
B.
-2
C.
2
D.
-3
Answers
Answer:
Explanation:
What is the value of a in the function's equation?
A. -2
B. -3
C. 3
D. 2
ANSWER: c.
A 2000 kg car has a 40000 J of kinetic energy. How fast is it moving?
Answers
Answer:
6.32 m/s
Explanation:
KE = 1/2 m v^2
sqrt (2 * KE /m) = v = 6.32 m/s
Which two factors are used to calculate the kinetic energy of an object?
Answers
Answer: Mass and velocity
K = 0.5*m*v^2
Explanation:
Hope it helps!
Answer:
mass and velocity
Explanation:
Kinetic Energy = 1/2 * m * v^2 m= mass v = velocity
What is the speed of a wave that has a frequency of 250Hz and a Wavelength of 1.5 m?
Answers
Question :-
What is the Speed of a Wave that has a Frequency of 250 Hertz and a Wavelength of 1.5 meter ?Answer :-
Speed of the Wave is 350 m/s .Explanation :-
As per the provided information in the given question, we have been given that the Frequency of the Sound Wave is 250 Hertz. Its Wavelenght is given as 1.5 Meter. And, we have been asked to calculate the Speed of the Wave.
For calculating the Speed , we will use the Formula :-
[tex] \bigstar \: \: \boxed {\sf { \: Speed \: = \: Frequency \: \times \: Wavelenght \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \Longrightarrow \: \: \sf { \: Speed \: = \: Frequency \: \times \: Wavelenght }[/tex]
[tex] \Longrightarrow \: \: \sf { \: Speed \: = \: 250 \: \times \: 1.5 }[/tex]
[tex] \Longrightarrow \: \: \bf { \: Speed \: = \: 375 }[/tex]
Hence :-
Speed of the Wave = 375 m/s .[tex] \underline {\rule {180pt}{4pt}} [/tex]
Speed = Frequency Wavelenght
Speed
Speed
Hence :
Speed of the Wave = 375 m/s.
=
250 x 1.5
375
In the rocket, what is the equal and opposite reaction?
Answers
Answer:
see below
Explanation:
Gases flying out at high velocity out the back
rocket flying forward
Water shortages means.no no no links pls
Answers
Answer:
The lack of sufficient water resources, including a lack of access t safe water supplies, to meet water needs within a region.
Explanation:
What is the best way to arrange the magnets on the train and on the track so that the model train levitates?
Answers
Answer:
See below
Explanation:
So the magnets poles are opposed and the magnets REPEL each other
Which phase of the moon occurs after a waxing gibbous?.
Answers
The next phase after the Waxing Gibbous is a primary one, the Full Moon. In this phase, the Moon is at its most massive and brighter point, as seen from the Earth. The Full Moon occurs when the Sun and the Moon are aligned on opposite sides of the Earth.
Hope this helps!
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A dart sketch and describe a potential energy diagram that represents the striking and burning of the match. Remember and label the diagram with the energy changes that occur. Parentheses you may do the sketch by hand or using a drawing program. Parentheses your answer must include potential energy diagram and a written description. Parentheses note you do not have to use actual energy values
Answers
Answer:
I love ur pfp! Ok here's a rough image of how a typical energy diagram works. You give a little energy (A) and you get the potential that was in there all along. Kinda like pushing a big rock off a cliff. You do a little work then get a lot of energy out as the PE turns into other forms. In a match it's heat and light
Is this correct?
Explanation: