a 0.04 kg meter stick is placed on a thin rod at the 30 cm mark. what is the minimum mass required to be placed on the 0 cm mark on the stick to maintain equilibrium?
Answers
To maintain equilibrium, the sum of the clockwise moments must be equal to the sum of the counterclockwise moments. The moment of a force is the product of the force and the distance from the force to the pivot point.
In this case, the pivot point is the thin rod at the 30 cm mark. Let's call the minimum mass required to be placed on the 0 cm mark "m". The weight of the meter stick itself can be ignored since it acts at the pivot point.
The clockwise moment comes from the force of gravity acting on the mass "m" and its distance from the pivot point:
Clockwise moment = m*g*(30 cm)
where "g" is the acceleration due to gravity (9.81 m/s^2) and 30 cm is the distance from the pivot point to the mass "m".
The counterclockwise moment comes from the force of gravity acting on the meter stick and its distance from the pivot point:
Counterclockwise moment = (0.04 kg)*g*(15 cm)
where 0.04 kg is the mass of the meter stick and 15 cm is the distance from the pivot point to the center of mass of the meter stick.
Setting these two moments equal to each other and solving for "m", we get:
m = (0.04 kg)*(15 cm)/(30 cm) = 0.02 kg
Therefore, the minimum mass required to be placed on the 0 cm mark on the stick to maintain equilibrium is 0.02 kg.
Learn more about equilibrium here:
https://brainly.com/question/30807709
#SPJ11
Related Questions
What plate boundaries are in the alps
Answers
Answer:
The Alps consist of parts of the European Plate, a former Jurassic to Lower Cretaceous ocean floor, and the Adria Plate as part of the African Plate. A complicated pattern of overthrusted nappes characterizes the tectonic style. As a general rule, tectonically higher nappes originate further south.
Hope it helps you
"the majority of working teens are employed by restaurants, grocery stores, and department stores." what is the subject in this sentence? majority teens employed stores
Answers
The appropriate subject in this sentence is "the majority of working teens."
Remember that a sentence's subject is typically a noun. The word or phrase that denotes an object, identifies a person or location, etc. is known as the subject.
The predicate of the sentence is "Employed by restaurants, grocery stores, and department stores."
The predicate, which can describe an action or a state of being, frequently follows the subject.
The verb acts as the "are" between the subject and predicate. It links or connects the sentence's subject with a word that renames or describes it, making it a linking verb.
Learn more about a sentence's subject here: https://brainly.com/question/914560
#SPJ4
With what speed must a ball be thrown down for it to bounce 10m higher than its original level ? Neglect any loss of energy in striking the ground
Answers
The ball must be thrown down with a velocity of 14 meters per second in order to bounce 10 meters higher than its original level, neglecting any energy losses in striking the ground.
To determine the speed at which a ball must be thrown down to bounce 10 meters higher than its original level, we can use the principle of conservation of energy. Neglecting energy losses due to air resistance and assuming an idealized situation, we can equate the potential energy gained during the bounce to the kinetic energy of the ball before it hits the ground.
The potential energy gained by the ball during the bounce is equal to the gravitational potential energy at the new height, which can be calculated as mgh.
where
m = mass of the ball,
g = acceleration due to gravity (approximately 9.8 m/s²)
h = height gained (10 meters in this case).
The kinetic energy of the ball just before it hits the ground is given by (1/2)mv²,
where
v = velocity of the ball.
Equating these two energies, we have:
mgh = (1/2)mv²
Canceling out the mass (m) from both sides of the equation, we get:
gh = (1/2)v²
Simplifying further, we have:
v = √(2gh)
Substituting the values of g (9.8 m/s²) and h (10 meters), we can calculate the velocity (v):
v = √(2 * 9.8 * 10) ≈ √(196) ≈ 14 m/s
Therefore, the ball must be thrown down with a velocity of approximately 14 meters per second in order to bounce 10 meters higher than its original level, neglecting any energy losses in striking the ground.
know more about potential energy here:
https://brainly.com/question/21175118
#SPJ8
How many atoms of hydrogen are there in one molecule of water, if the chemical formula is H2O? 0 1 2 3
Answers
Answer:
2
Explanation:
H2O has -
2 hydrogen atoms
1 oxygen
Answer: 2
Explanation:
A parallel-plate capacitor is charged by a battery and then the battery is removed and a dielectric of constant K is used to fill the gap between the plates. Inserting the dielectric changes the energy stored by a factor of
Answers
Answer:
Explanation:
Battery is removed so its charge stored becomes fixed .
Energy of capacitor E₁ = Q² / 2C
When dielectric is inserted , the capacity of the capacitor is increased to KC .
Charge on it still remains the same ie Q
So its new energy
E₂ = Q² / 2 KC
E₂ / E₁ = 1 / K
E₂ = E₁ / K
Change in energy
= E₂ - E₁
= E₁ / K - E₁
= E₁ [ (1 / K) - 1 ]
Factor by which energy is changed
= [ (1 / K) - 1 ] .
Three rocks of masses 2 kg, 3 kg, and 6 kg are respectively placed at positions of 4 m, 6 m, and 9 m (relative to the origin). Find the location of the center of mass for this system (in meters). Find the moment of inertia (in kgm2) for this system if it were rotated about its midpoint (the point halfway between the rocks on each end).
Find the moment of inertia (in kgm2) for this system if it were rotated about its midpoint (the point halfway between the rocks on each end).
Answers
To find the location of the center of mass, we use the formula: Center of mass = (m1r1 + m2r2 + m3r3) / (m1 + m2 + m3)
where m1, m2, and m3 are the masses of the rocks and r1, r2, and r3 are their respective positions relative to the origin.
Substituting the given values, we get:
Center of mass = (2 kg x 4 m + 3 kg x 6 m + 6 kg x 9 m) / (2 kg + 3 kg + 6 kg) = 6.27 m
Therefore, the center of mass for this system is located at 6.27 meters from the origin.
To find the moment of inertia of the system if it were rotated about its midpoint, we first need to find the midpoint. The midpoint is located at:
Midpoint = (4 m + 9 m) / 2 = 6.5 m
Now, we can use the formula for moment of inertia:
I = ∑mr²
where m is the mass of each rock and r is its distance from the axis of rotation (the midpoint in this case).
Substituting the given values, we get:
I = (2 kg x (6.5 m - 4 m)² + 3 kg x (6.5 m - 6 m)² + 6 kg x (9 m - 6.5 m)²) = 89.25 kgm²
Therefore, the moment of inertia of the system if it were rotated about its midpoint is 89.25 kgm².
Learn more about Center of mass at https://brainly.com/question/15061764
#SPJ11
We'll first find the location of the center of mass for the system, and then calculate the moment of inertia for the system when rotated about its midpoint. the center of mass for this system is approximately 7.27 meters, and the moment of inertia for this system when rotated about its midpoint is 50.75 kgm^2.
1. Finding the location of the center of mass (X_cm):
X_cm = (Σm_i * x_i) / Σm_i
Where m_i is the mass of each rock and x_i is its position.
X_cm = (2 kg * 4 m + 3 kg * 6 m + 6 kg * 9 m) / (2 kg + 3 kg + 6 kg)
X_cm = (8 kgm + 18 kgm + 54 kgm) / (11 kg)
X_cm = 80 kgm / 11 kg
X_cm ≈ 7.27 m
2. Finding the midpoint of the system:
Midpoint = (4 m + 9 m) / 2
Midpoint = 13 m / 2
Midpoint = 6.5 m
3. Calculating the moment of inertia (I) for the system when rotated about the midpoint:
I = Σm_i * (x_i - midpoint)^2
I = (2 kg * (4 m - 6.5 m)^2) + (3 kg * (6 m - 6.5 m)^2) + (6 kg * (9 m - 6.5 m)^2)
I = (2 kg * (-2.5 m)^2) + (3 kg * (-0.5 m)^2) + (6 kg * (2.5 m)^2)
I = (2 kg * 6.25 m^2) + (3 kg * 0.25 m^2) + (6 kg * 6.25 m^2)
I = 12.5 kgm^2 + 0.75 kgm^2 + 37.5 kgm^2
I = 50.75 kgm^2
So, the center of mass for this system is approximately 7.27 meters, and the moment of inertia for this system when rotated about its midpoint is 50.75 kgm^2.
Learn more about center of mass : https://brainly.com/question/31149130
#SPJ11
What is the positive contribution that a philosopher makes to the question/problem of ethics
Answers
Answer:
There are many well-known figures in the history of ethics, including the Greek philosophers Plato and Aristotle. Since the mid-20th century, Aristotle's ethics has inspired the field of virtue theory, an approach to ethics that emphasizes human well-being and the development of character.
Explanation:
Hope this helps:) Goodluck!
Which kinds of objects emit visible light in the electromagnetic spectrum?
Answers
answer :
Visible: Our eyes detect visible light. Fireflies, light bulbs, and stars all emit visible light. Ultraviolet: Ultraviolet radiation is emitted by the Sun and are the reason skin tans and burns. "Hot" objects in space emit UV radiation as well.
Which objects emit electromagnetic waves?
All objects emit electromagnetic radiation according to their temperature. Colder objects emit waves with very low frequency (such as radio or microwaves), while hot objects emit visible light or even ultraviolet and higher frequencies.
What is related to the volume of a sound wave?
A. Amplitude
B. Frequency
C. Speed
D. Wavelength
Answers
Answer:
A. amplitude
Explanation:
please vote me brainliest?? thanks:)
A shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250. How far is his image from the mirror's surface and is it real or virtual?
o 8.33 cm, virtual o 8.33 cm, real o 75.0 cm, virtual o 75.0 cm. real
Answers
The image of the shopper is 75.0 cm from the mirror's surface, and it is virtual.
The magnification (m) of an image formed by a convex mirror is given by the formula:
m = -d_i / d_o,
where d_i is the distance of the image from the mirror's surface and d_o is the distance of the object from the mirror's surface. In this case, the magnification is given as 0.250.
Given that the shopper is standing 3.00 m from the convex mirror (d_o = 3.00 m) and the magnification is 0.250, we can rearrange the formula to solve for d_i:
d_i = -m * d_o.
Substituting the values into the formula:
d_i = -0.250 * 3.00,
= -0.75 m.
The negative sign indicates that the image is virtual, meaning it cannot be projected onto a screen. Taking the absolute value, the image is 0.75 m from the mirror's surface.
Converting 0.75 m to centimeters, we get 75.0 cm.
The image of the shopper is located 75.0 cm from the convex mirror's surface, and it is a virtual image. This calculation utilizes the magnification formula for a convex mirror to determine the distance of the image based on the given magnification and object distance.
To know more about mirror, visit
https://brainly.com/question/1126858
#SPJ11
the electric field between two charged parallel plates separated by a distance of 1.8 cm has a uniform value of 2.4 x 104 n/c. find the potential difference between the plates. how much kinetic energy would be gained by a deuteron in accelerating from the positive plate to the negative plate? (a deuteron is a particle with one proton and one neutron.)
Answers
The electric field is radially outwards from positive charge and radially in towards negative point charge.
What is an electric field, exactly?Any sort of charge causes an electric field to be associated to a location in space. The strength and direction of the electric field are expressed by the value of E, also referred to as the electric field strength, electric field intensity, or simply the electric field. The SI unit for the electrical field is volts per meter (V/m). This unit is equivalent to the Newtons per coulomb. Both Newton, which represents for force, and Coulomb, which stands for charge, are the ancestors of these units. These two are sometimes referred to as the sources of the field since they produce the magnetic field with moving charges (currents) and the electric field with stationary charges, respectively.
AV = EAX = (2.4*10N.X0.018) V/M
off = 432
N2V jk N.mm
1/2=12
To learn more about electric field refer to
https://brainly.com/question/11509296
#SPJ4
When power and current are known use R = P/I^2 to calculate the resistance.
P = 300 watts
C = 30amps
R = ?
R = resistance, P = Power, 1 = Current
Answers
\( \sf• \: Power \:( P) = 300 \: watts\)
\( \sf• \: Current \: (I) = 30 \: amps\)
\( \\ \)
\(\bf{ \underline{To \: Find:- }}\)\( \sf• \: The \: Resistance \)
\( \\ \)
\( \huge\bf{ \underline{Solution :-:- }}\)
\( \bf \red {\bigstar{ Formula \: of \: Power \: (P) = \frac{ {I}^{2} }{R}}}\)
\( \sf \rightarrow 300= \frac{ {30}^{2} }{ R} \)
\( \sf \rightarrow 300 = \frac{900}{ R} \)
\( \rightarrow \sf R = \frac{300}{900} \)
\( \rightarrow \sf R = \frac{1}{3} \)
\( \rightarrow \sf R = 0.33\)
\( \bf \purple{Hence, \: the \: resistance \: is \: 0.33 \: Ω \: . }\)
Who described the universe as a giant clock with unified rules for gravitation and motion?
Answers
Connor rode an inner tube down a river. For 4.6 minutes, he moved downriver at 15 meters per minute. During this time, how far did he move?
Answers
Answer:
2 miles
Explanation:
A 10 N force and a 15 N force are acting from a single point in opposite directions. What additional force must be added to produce equilibrium?
Group of answer choices
A) A 5 N force acting in the same direction as the 10 N force.
B) A 10 N force acting in the same direction as the 15 N force.
C) A 25 N force acting in the direction perpendicular to the 10 N and 15 N forces.
D) A 5 N force acting in the same direction as the 15 N force.
Answers
The additional force must be added to produce equilibrium is 5 N force acting in the same direction as the 10 N force (Option A)
Data obtained from the questionForce to the left = 10 NForce to the right = 15 NAdditional force =?How to determine the additional forceTo have equilibrium,
Force to the left = force to the right
But
The force to the right is greater than the force to the left.
Thus,
Force to the left + additional force = force to the right
10 + additional force = 15 N
Collect like terms
Additional force = 15 - 10
Additional force = 5 N
Therefore, an additional force of 5 N acting in the same direction of the 10 N force is needed to obtain the equilibrium of the system (Option A)
Learn more about force:
https://brainly.com/question/14361879
#SPJ1
what should you do if you are driving 65 mph in the far left lane of a highway and everyone else in the lane is going 70 mph and above? a. nothing. since you are at the speed limit, it is their problem to move, not yours b. move to a lane that is more appropriate to your speed c. slow down so the drivers behind you will get the hint and slow down too d. flash the lights and honk the horn so the drivers behind you will get the hint and slow down
Answers
If you are driving 65 mph in the far left lane of a highway and everyone else in the lane is going 70 mph and above, you should move to a lane that is more appropriate to your speed. The correct answer is option b.
You should switch to a lane that's more suited for your pace If you're driving 65 mph in the far left lane of a highway and everyone else is travelling 70 mph or higher,
This is because the left lane is considered the passing lane in many states, and is generally used for faster-moving traffic. Slower traffic should stay in the right-hand lane or move over if they are in the left lane.
So, option (b) move to a lane that is more appropriate to your speed is correct.
For more such questions on speed, click on:
https://brainly.com/question/13943409
#SPJ11
Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
Answers
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
To know more about damping ratios, refer here:
https://brainly.com/question/31463018#
#SPJ11
Give me right solution with clear calculations
. Tourists arrive at the Manila Zoo at a rate of 250 vehicles per hour. But before entering the zoo, the vehicles must get a brochure and pay the entrance fee at the single entrance booth. If the vehicles can be serviced at a rate of 400 vehicles per hour, determine the percentage of time that the operator of the single entrance booth will be free.
Note: Round off your answers to the nearest thousandths. Only include the numeric value of vour answer without the unit (i.e. 0.123).
Answers
The percentage of time the operator of the single entrance booth will be free is approximately 38.462%.
To determine the percentage of time that the operator of the single entrance booth will be free, we need to calculate the service rate and the arrival rate. The service rate is given as 400 vehicles per hour, and the arrival rate is 250 vehicles per hour. The percentage of time the operator will be free can be calculated using the formula:
Free time percentage = (Service rate - Arrival rate) / Service rate * 100
Substituting the given values into the formula:
Free time percentage = (400 - 250) / 400 * 100
= 150 / 400 * 100
= 0.375 * 100
= 37.5%
Rounding off the answer to the nearest thousandths, the percentage of time the operator of the single entrance booth will be free is approximately 38.462%.
Learn more about service rate here:
https://brainly.com/question/15544714
#SPJ11
How does the line energy of an object change if the objects speed doubles?
Answers
Answer:
A
Explanation:
The kinetic energy decreases to half its original value.
What conditions can cause hurricanes to change direction?
need now please
Answers
According to the research, the correct answer is that higher latitudes are conditions that can cause hurricanes to change direction.
What are hurricanes?It is a meteorological phenomenon that usually originates in the tropical areas of the lower atmosphere, being a wind of extraordinary force that forms a whirlwind.
In this sense, the direction of these winds is influenced by the rotation of the Earth (Coriolis effect) and that as they move a little towards the higher latitudes, the direction winds are reversed and blow from west to east.
Therefore, we can conclude that the condition that affects the direction of hurricanes is when these tropical phenomena reach the highest latitudes.
Learn more about hurricanes here: https://brainly.com/question/18221136
#SPJ1
which of the following is a form of kinetic energy?
Answers
Answer:
hope this helps.
Explanation:
______
Which of the following is the best definition of lifestyle activity?
a
Recreational activities such as bowling or canoeing
b
Light or moderate activities you do as part of your daily life
c
Winter activities such as snowboarding
d
Vigorous activities like a HIIT workout
Answers
What is the difference between velocity and vector
Answers
Answer:
vector is a physical quantity while velocity is a vector physical quantity
What is the frequency of a wave with a wavelength of 15 m and a wavespeed of
300 m/s?
Answers
Answer: f=20 (i think)
Explanation:
all I did was divide 300 and 15.
300/15= 20
how can we make periscope
Answers
Answer:
place a curved elbow joint pipe over each end of the pipe to make a periscope
What does Δx stand for? What SI units are used to measure it?
Answers
Answer:
Displacement. Units of measure metre (m)
Explanation:
Delta x Δx stands for displacement, or change in position.
NASA is conducting a test with the Perseverance Rover to investigate the gravity on Mars. They test a pendulum with a length of L on the Earth and find it has a period of 1.0 s. The Perseverance Rover has a similar pendulum with a length of L/2. If the acceleration due to gravity on Mars is 1/3 the acceleration due to gravity on the Earth, what is the period of the Perseverance Rover's pendulum on Mars?
Answers
If the time period of the pendulum in earth is 1 seconds, then the length L is 0.24 m. If length in mars is L/2 and acceleration due to gravity is 1/3rd of that of earth, the time period of the pendulum on mars is 1.216 seconds.
What is time period of oscillation ?The time period of oscillation of a pendulum is the time taken to complete oscillation. It is related to the length l, and acceleration due to gravity g as:
T = 2π √l/g
T for earth = 1 s
g for earth = 9.8 m/s²
then l = T/4π² × g
l = 1/4π²× 9.8 m/s²
= 0.24 m
If in mars L = L/2 = 0.24 /2 = 0.12 m
g = 9.8 m/s²/3 = 3.22m/s²
Then time period T = 2π × √0.12 m/3.22m/s²
T = 1.216 s.
Therefore, the time period of the Rover's pendulum in mars is 1.216 seconds.
Find more on period of oscillation:
https://brainly.com/question/14596666
#SPJ9
4. What two terms are sometimes used to indicate opposite directions from a point?
Answers
hope it helps
#carry on learning
If we consider the coordinates of a point, the opposite directions are termed as negative and positive. If we are considering a vector quantity the, the opposite directions to up and down is called upward and downward.
What are coordinates?Coordinates are set of numbers used to represent the position of an object in space. A number line consists of two axis in two opposite directions called the negative and positive side.
The vertical axis is called y axis and the horizontal axis is x. The right side in a number line is positive side and the left side is negative side. If we are talking about a vector quantity thus having both direction and magnitude, the opposite directions are specified as downward or upward.
If the horizontal direction is taken, westward or eastward is used to express the opposite direction. Thus, in general the opposite directions of a point can be side as its negative and positive side.
Find more on coordinates:
https://brainly.com/question/27749090
#SPJ2
Complete this concept map.
Answers
Answer:
conduction s convention s radiation
A supertanker ( = 1.70 × 108 kg) is moving with a constant velocity. Its engines generate a forward thrust of 7.40 × 105 N. Determine (a) the magnitude of the resistive force exerted on the tanker by the water and (b) the magnitude of the upward buoyant force exerted on the tanker by the water.
I need work shown thank u
Answers
Answer:
(a) 0 (b) \(F=1.67\times 10^9\ N\)
Explanation:
Given that,
Mass of a supertanker, \(m=1.7\times 10^8\ kg\)
The engine of a generate a forward thrust of, \(F=7.4\times 10^5\ N\)
(a) As the supertanker is moving with a constant velocity. We need to find the magnitude of the resistive force exerted on the tanker by the water. It is given by :
F = ma, a is the acceleration
For constant velocity, a = 0
So, F = 0
(b) The magnitude of the upward buoyant force exerted on the tanker by the water is equal to the weight of the ship.
F = mg
\(F=1.7\times 10^8\times 9.8\\\\F=1.67\times 10^9\ N\)
Hence, this is the required solution.