The weight of the block is F₀ × g/(g + 3a)
What is the difference between weight and mass?Mass of an object is the same everywhere in the universe. Weight, on the other hand, varies by location. Mass is measured in kilograms. We usually say kilograms for weight, but strictly speaking, it must be measured in Newtons, which is a unit of force. Weight equals mass multiplied by applied gravity. i.e. W = mg
For the given case:
Mass of block = m
Acceleration = 3a
Force = F₀
So, F₀ - mg = m × 3a
F₀ = mg + m3a
F₀ = m(g + 3a)
m = F₀/(g + 3a)
Now, weight = mg
Where, g = 9.8 m/s²
W = F₀/(g + 3a) × g
W = F₀ × g/(g + 3a)
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what relates the torque on a playground merry-go-round to the resulting angular acceleration?
The rotational inertia of a merry-go-round connects the torque produced by one to the angular acceleration that results.
What does rotational inertia refer to?Any item with the ability to rotate possesses rotational inertia. It is a scalar value that indicates how challenging it is to alter the object's rotational speed around a specific rotational axis. Similar to the role that mass plays in linear mechanics, rotational inertia plays in rotational mechanics.
What is a good illustration of rotational inertia?Rotational inertia, also referred to as the inertia moment is the resistance of an item to a change in rotation. Rotational inertia can be felt and seen in many commonplace situations, such as when using a heavy baseball bat or pushing a large group of people on the a merry-go-round.
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Please, help me. I need help fast!!!!!!!! Please answer my question!
If another object (a can of beans) was dropped from 12 meters in free fall, how long will it take for that object to fall to the ground?
Thank you so much for reading and answering my question!
The object falls to the ground after 1.56 second.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Height from where the object fall; h = 12 meters.
Let initial velocity is zero.
And we know that,
acceleration due to gravity is 9.8 m/s².
So, h = 1/2 gt²
⇒ t = √(2h/g) = √(2×12/9.8) second = 1.56 seconds.
Hence, it take 1.56 second for that object to fall to the ground.
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Which option is correct, why and explain in detail?
Compared to the initial velocity, the velocity of the ball at the maximum height is zero m/s.
What is motion under gravity?We know that in the gravitational field, there is a force that acts to either accelerate or decelerate a body. If the body is accelerated, then the object must be moving in the same direction as gravity, that is, the object is moving downwards.
If the object is decelerated then the object is moving in a direction that is opposite to gravity, then the motion of the object must be slowed down continuously until the object is gradually brought to a stop.
When we through a ball upwards at a given speed, the speed of the ball would continue to decrease until the ball would eventually attain a minimum speed of zero at the maximum height.
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here is the center of mass of the earth-moon system? the radius of the earth is 6378 kmkm and the radius of the moon is 1737 kmkm . select one of the answers below: choose the correct description of the location of the center of mass of the earth-moon system.
r_{cm} = 4.67 10⁶ m. We see that none of the answers is correct, the closest is the third, but the center of mass is within the radius of the Earth.
The definition of the center of mass is
rcm= 1 / M ∑ rimi
where mi represents each body's location and M represents its total mass
We must choose a reference system for the calculation, and we will do it with the Earth's centre as its origin. The information we have is
Mass of the Earth Me = 5.98 1024 kg
Moon mass m = 7.36 1022 kg
Earth to Moon Distance r = 3.84 108 m
Let's apply this to our case
r_{cm} = 1 / (Me + m) (Me 0 + m R)
r_{cm} = 1 / (598 +7.36) 10²² (0 + 7.36 10²² 3.84 10⁸)
r_{cm} = 4.67 10⁶ m
We can see that this distance is less than the radius of the Earth
We see that none of the answers is correct, the closest is the third, but the center of mass is within the radius of the Earth.
The unique point at the centre of a spatial distribution of mass is known as the centre of mass, and it has the property that the sum of the weighted position vectors around it is zero. The centre of mass is the average location of a distribution of mass in space, to use an analogy from statistics.
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April enters a race she runs leftward 100m to her horse then she rides 500 m to her truck then she drives 1000m in a total time of 120s what is Aprils average velocity over the 120s period
The average velocity of April, knowing that she runs leftward 100 m to her horse then she rides 500 m to her truck then she drives 1000 m in a total time of 120 s is 13.33 m/s
How do I determin the average velocity?We know that average velocity is the total displacement travelled divided by the total time. This can be written as:
Average velocity = Total displacement / total time
With the above information, we'll begin our calculation by obtaining the total displacement. This is illustrated below:
Displacement leftward = 100 mDisplacement using horse = 500 mDisplacement using truck = 1000 mTotal displacement = ?Total displacement = 100 + 500 + 1000
Total displacement = 1600 m
Finally, we shall determin the average velocity. This is shown below:
Total displacement = 1600 mTotal time = 120 sAverage velocity =?Average velocity = Total displacement / total time
Average velocity = 1600 / 120
Average velocity = 13.33 m/s
Thus, the average velocity is 13.33 m/s
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. A train is approaching a station at a velocity of 40 m/s. The train brakes and
within 10 seconds comes to a stop. What is the train's acceleration?
Answer:
-4
Explanation:
formula for acceleration is
[tex] a = \frac{vf - vi}{t} [/tex]
vf as in final velocity
vi as in initial velocity
t as in time
the initial velocity is 0 m/s and the final velocity is 0 m/s because the train comes to a stop. the time is 10 s.
the answer is negative because the train is slowing down
a wire carrying a current is normally charged
Current is known as the rate of flow of charges that is electrons. While the electrons move through the wire, the number of positive charges is equal to the number of negative charges formed due to motion. Therefore, a wire carrying is normally charged neutral.
An electric current is a circulation of charged particles, consisting of electrons or ions, moving through an electrical conductor or space. it's miles measured because of the net fee of going with the flow of electric price via a floor or right into a controlled quantity. The moving debris is referred to as charge companies, which may be one of the numerous forms of particles, depending on the conductor. In electric-powered circuits, the rate providers are frequently electrons moving through a twine. In semiconductors, they may be electrons or holes. In an electrolyte the rate providers are ions, at the same time in plasma, ionized gasoline, they're ions and electrons.
The SI unit of electrical modern-day is the ampere or amp, which is the waft of electrical fee across a surface at the charge of one coulomb in keeping with the second.
The ampere (image: A) is an SI base unit. electric modern-day is measured by the usage of a tool called an ammeter. electric powered currents create magnetic fields, that are used in cars, generators, inductors, and transformers. In everyday conductors, they motivate Joule heating, which creates light in incandescent light bulbs. Time-varying currents emit electromagnetic waves, that are used in telecommunications to broadcast facts.
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An airplane is flying in a horizontal circle at a
speed of 105 m/s. The 87.0 kg pilot does not
want the centripetal acceleration to exceed
6.27 times free-fall acceleration.
Find the minimum radius of the plane's
path. The acceleration due to gravity is 9.81
m/s².
Answer in units of m.
The minimum radius of the plane's path found using the expression of centripetal acceleration is 179.24 m
What is centripetal acceleration?
When an object moves in uniform circular motion, it will experience an acceleration. This acceleration is of the type that changes its direction, rather than its speed. We call this type of acceleration, centripetal acceleration.
The centripetal acceleration is given by.
a = v^2/r
Where a= centripetal acceleration
v = velocity
R = radius
In the given question we are given,
v = 105 m/s/s
a = 6.27 times free-fall acceleration
= 6.27 x 9.81 m/s/s
Obtaining the expression for the radius.
a = v^2/r
r = v^2/a
= 105 x 105/ 9.81 x 6.27
= 179.24 m
Hence, the minimum radius of the plane's path is 179.24 m
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Explain why so many women and children worked in the industrial labor force, and describe the treatment they received.
Men felt they had fewer women and children because they thought they could rule the world because of their gender, so they had to abuse them.
What is gender?Gender is the socially constructed characteristics of women, men, girls and boys. This includes the norms, behaviors and roles associated with being a woman, man, girl or boy. As a social structure, gender differs from society to society and can change over time. Gender is the range of characteristics that relate to and distinguish between feminine and masculine. Most cultures use a binary her gender where gender is divided into two categories of her and people are viewed as part of one or the other. People outside of these groups may fall under the general term non-binary.To learn more about gender from the given link :
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monochromatic light is incident on a metal surface, and electrons are ejected. if the intensity of the light increases, what will happen to the maximum energy of the electrons?
Electrons are expelled from a metal surface when monochromatic light strikes it. The ejection rate would drop as the light intensity rises. The rate of ejection will rise.
Describe monochromatic light.Single-wavelength monochromatic lights have the prefix mono for one and the suffix chroma for color. Monochromatic light is defined as visible light with a constrained range of wavelengths. It has a wavelength that is contained in a small wavelength range.
Do white and gray have a single color?Since all black and white or grayscale images are composed of different tones of the same color—black—they are all monochrome. However, not all monochromatic images are grayscale since they can be created in any color. Even though an image is entirely composed of yellow tones, it is still regarded as monochromatic.
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A 60.-kilogram car travels clockwise in a
horizontal circle of radius 10. meters at 5.0
meters per second.
150 Newton is the centripetal force, when a 60.-kilogram car travels clockwise in a horizontal circle of radius 10. meters at 5.0 meters per second.
centripetal force F=mv²/r
m=60 kg
v=5 m/s
r= 10 m
F=mv²/r
F=60×5×5÷10
F=150 N
Any movement along a curved path accelerates, making applying force to the path's center of curvature necessary. This force is known as centripetal, which means "center seeking."
According to the Centripetal Force Formula, the centripetal force is equal to the product of the radius (in meters) and the square of the tangential velocity (in meters per second) (in meters). With a doubling of tangential velocity, this formula predicts that the centripetal force will also double.
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difference between primary and secondary cell
Answer:
Primary cell:
Primary cells are the ones that cannot be charged.In primary cells irreversible reactions occur.Can be used only once.Primary cells have Low life span.These are light in weightSecondary cell:
Secondary cells are the ones that are rechargeable.In secondary cells reversible reactions occur.Can be used more than once. Secondary cells have High life span.These are heavy in weight.as a wave moves into shallow water, it will interact with the seafloor and slow down. this creates an apparent bend in the wave known as
The bend in the wave that formed when a wave moves into the shallower water so it will interact with the seafloor and slowing down is called wave refraction.
What is refraction?Refraction is the bending of a wave-front because it voyages at distinctive speeds over water of distinctive profundities. When distinctive parts of the same wave-front travel at diverse speeds, the wave twists towards the slower portion. The shallower the water, the slower the wave; hence the wave twists towards the shallower water.
Refraction can also be interpreted as the change of direction that a light beam encounters when passing from a straightforward medium (water, glass, discuss) to another where the speed of engendering of the wave is diverse.
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what linear speed must a 0.0494-kg hula hoop have if its total kinetic energy is to be 0.111 j? assume the hoop rolls on the ground without slipping.
If the total kinetic energy of the hoop is to be 0.111 J, then the hoop's linear speed must be 1.24 m/s.
What is kinetic energy ?
kinetic energy is a form of energy that an particle has by reason of it's motion. If we want to accelerate an object then we must apply a force. The average kinetic energy of all the molecule assumed to be directly proportional to the absolute tempreture of the gas.
The Kelvin tempreture of a substance is directly proportional to the average kinetic energy of the particles of the substance.
This is the reason why measure of the average kinetic energy of the molecule of a material called tempreture.
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a .5 kg steel ball is suspended from the ceiling by a 2.5 m long string. the ball is pulled to the side until it is 1 m above its lowest point and then released from rest. the tension in the string when the ball passes through its lowest position is
The string when the ball passes through its lowest position is 5N.
Solution:
Tension on the ball, T = mg
T = 0.5*9.8 = 4.9
Approximately equal to 5N.
At the highest point, there is less weight more centrifugal force, and no tension. So the stress at the bottom point is 6 mg which is zero as described for the top point. The rope tension is always directed toward the center of the circle. The following means that tension is up while gravity is down. Zero voltage is loose.
Strings and ropes are often idealized as having length but no mass and no cross-section. Most players are familiar with the general principle that less tension means more power, and more tension means more control. Strings with lower tension stretch more on impact and store more energy. When the ball bounces off the racquet it returns more energy and launches it at a higher velocity.
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a car on a level road turns a quarter circle ccw. you learned in chapter 8 that static friction causes the centripetal acceleration. the work done by static friction is
The work done by static friction is zero.
Friction is nothing but a opposing force applied in the opposite direction of the force applied.
Also workdone is also a result of the force applied and the distance object has moved.
In this question the car turns a quarter circle ccw , so the static friction can be balanced by the centripetal force. but workdone will be
W = F * d cos Ф
where d is the distance and Ф is the angle between force and motion. In this case, since force and motion are perpendicular so Ф will be 90 degree.
so,
W = F * d * cos90
since cos90 = 0
so W = 0
Hence the workdone will be zero.
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the total number of x-rays emitted from an x-ray tube could be determined by adding together the number of x-rays emitted at each energy over the entire spectrum, a process called integration.
The statement above is true. Integration is the total number of x-rays emitted from its tube, which is determined by adding together the number of x-rays emitted at each energy over the entire spectrum.
An X-ray is a penetrating form of electromagnetic radiation. It is usually used in the medical world to produce pictures of the body's internal structures. An X-ray tube is a tube that converts electrical input power into X-rays.
In the x-ray machine, the x-ray tube emits x-rays that would be used for certain purposes. To count how many x-rays got emitted by the x-ray tube, one can add all the numbers of emitted x-rays at each energy over the entire spectrum.
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(f) if this system is set up in a laboratory and the acceleration of the 1.5 kg block is experimentally determined, the experimental value is found to be smaller than the value calculated above. if the given value for the coefficient of friction is correct and air resistance is negligible, explain briefly, but specifically, why the experimental value of the acceleration is smaller.
Answer:
help!!
Explanation:
A chunk of ice breaks off a glacier and falls 30. 0 meters before it hits the water. Assuming it falls freely (there is no air resistance), how long does it take to hit the water?.
The ice chunk that breaks off a glacier and falls 30. 0 meters will take around 2.47 seconds to hit the water.
State the equations of motions?
The fundamentals of an object's motion, such as its position, velocity, or acceleration at different periods, are described by kinematics equations of motion or Newton’s equations of motions. An object's motion in 1D, 2D, and 3D is controlled by these three equations of motion.First law of equation: v = u + at
Second law of motion: s = ut + / at2
Third law of motion: is v^2=u^2 + 2as
The informations given in the question are
The height from where chunk fell = h = 30.0 m
The initial velocity of the ice chunk that broke off the glacier = u = 0 m/s
Let us assume that the time taken to cover 30.0 m of height is t
Considering the acceleration due to gravity = g =9.8 seconds
With the help of second equation of motion, we find
=> h = ut + 1/2 gt²
=> 30 = 0 + 1/2 × 9.8 × t²
=> t² = 30 x 2/9.8
= 6.122
=> t = 2.47 second
Hence, The ice chunk that breaks off a glacier and falls 30. 0 meters will take around 2.47 seconds to hit the water.
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find the present value of ordinary annuity $3000 per semiannual period for 6 years at 11%/year compounded semiannually.
The present value of an ordinary annuity $3000 per semiannual period for 6 years at 11% interest rate is $25,855.55
The present value of an ordinary annuity is given by:
P = PMT x [1 - (1 + r)⁻ⁿ] / r
Where:
P = present value
PMT = amount of annuity payment per period
r = interest rate per period
n = number of periods
Since it is semiannually compounded, the number of periods per year = 2. Therefore,
r = 11%/2 = 0.055
n = 2 x 6 years = 12
PMT = 3000
Hence,
P = 3000 x [1 - (1 + 0.055)⁻¹²] / 0.055
P = 25,855.55
Hence, the present value is $25,855.55
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A mass m is at a height h above the surface of a planet of mass M and radius R.
The gravitational field strength at height h is g. By considering the gravitational force acting on mass m, derive an equation from Newtor's law of gravitation to express g in terms of M, R, h and the gravitational constant G.
Answer:
Explanation:
Given:
m - mass
h - height
M - mass of the planet
R - planet radius
G - Gravity constant
_________
g - ? Acceleration of free making
Newton's law of universal gravitation:
F = G·m·M / (R +h)
g = F / m
g = G·M / (R +h)
Give reason:why Goverment should promote mushroom farming.
Answer:
Mushroom are healthy and they are good your body and energy and other very important health proteins and stuff but it shouldn't only focus on mushrooms because they won't help you survive for your whole life.
we use plane mirror to see our face in dailylife why
Answer:
Because in mirror we can see our face and our getup in daily life.
Answer:
because as we know plane mirror as concave mirror ,when person keeps his/her face between focus and the pole of the mirror it forms virtual image of his/her face
which is enlarged
California loveeeeeeee?
A person driving west along a straight road at a speed for 23 m/s sees a deer on the road ahead. They apply the brakes when they are 210 m from the deer. If the deer does not move, and the car stops right before it hits the deer, what is the acceleration provided by the car's brakes?
The acceleration of the car is -1.26 m/s.
What is acceleration?The acceleration is described as the rate of change of the velocity of an object with respect to time. Accelerations are known as vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.
From question we have
u = 23, v = 0 , distance = 210
Using v² = u² - 2as
0² = 23²- 2 * a* 210
a = u²/ 2 * 210
a = 1.26m/s²
In conclusion, we used newtons third law of motion to get the value for the acceleration.
Where:
V represents the final speed.
U is the initial speed.
a represents the acceleration.
S is the distance covered.
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What is located at the center of our galaxy & how far is the earth from this location?.
A super giant black hole is located at the center of our galaxy and the earth is located around 2,000 light years from this point.
Our galaxy is called milky way galaxy including solar system, planets and giant balls of gases.
When observed from earth it looks like hazy spectrum of light emitted by the billions of stars present in the galaxy.
However, at the center of our galaxy, there is a giant super giant black hole which is just 2,000 light years away from the earth.
New scientific evidence shows that the black hole sits around 25,800 light-years from the planet earth.
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two construction cranes are each able to lift a maximum load of 10000 n to a height of 150 m. however, one crane can lift that load in 1 4 the time it takes the other. how much more power does the faster crane have?
2P1 means the faster crane have double power compared to the first crane between two construction cranes are each able to lift a maximum load of 10000 n to a height of 150 m.
Maximum load means the weight of the load declared permissible by the competent authority of the country of registration of the vehicle; "Permissible maximum weight " of a vehicle means the weight of the vehicle and its maximum load when the vehicle is ready for the road.
A crane is a type of machine, generally equipped with a hoist rope, wire ropes or chains, and sheaves, that can be used both to lift and lower materials and to move them horizontally.
work done by p1 = m*g*h
= 2*10^4*100
power p1 = 2*10^6 /t
power p2 = 2*10^6 /(t/3)
=3(2*10^6/t) = 3p1
s0, faster crane have (3p1-p1) = 2p1
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Question 2 of 10
A scientist measures the growth of a bamboo plant over time. The table
below shows the results.
Time (hours)
A. 2.40 cm
B. 2.25 cm
10
OC. 2.10 cm
D. 2.55 cm
20
30
40
50
60
Height (cm)
1.2
1.5
1.8
What is the best inference for the height of the plant after 45 hours?
2.1
2.4
2.8?help
After 45 hours, the plant's height is 2.25 cm.
Given:The bamboo plant is 2.1 cm tall after 40 hours.
The bamboo plant has grown to a height of 2.4 cm after 50 hours.
Bamboo plant height after 45 hours =?
40 and 50 hours are separated by 2.4 to 2.1 cm.
= 0.3 cm
50 divided by 40 equals 45.
The height will therefore increase by 0.3/2 = 0.15 cm after 45 hours.
Height at 45 hours is equal to 2.25cm (2.1 + 0.15cm).
As a result, the plant is 2.25 cm tall after 45 hours.
How much bamboo grows each hour?1.5 in. per hour
Some bamboo species have been known to grow up to 2.91 feet every day, or 1.5 inches per hour, according to Guinness World Records! .
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What happens when the vector dna is digested with ecori? what does this tell you about the number and distribution of ecori sites in the vector?.
A vector is a DNA can be defined as a molecule which is used as a vehicle to artificially carry foreign genetic material into another cell, where it can be replicated and/or expressed.
What does this tell you about the number and distribution of ecori sites in the vector?
When a vector DNA is digested with restriction endonuclease such as EcoRI, the DNA molecule is cleaved at unique sites. EcoRI recognizes the six-base-pair sequence GAATTC in the vector DNA. On the number of sites this sequence is present in the vector, the DNA molecule is cleaved at those site. For example if this sequence is present at five sites in a vector DNA, then endonuclease EcoRI will digest the DNA molecule into six fragments ranging from 3.6 to 21.2 kilobases long.
This is how we can tell about the number and distribution of ecori sites in the vector.
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The formula for electrical power is p = i v. Which is the equivalent equation solved for i? startfraction p over v endfraction = i startfraction v over p endfraction = i p v = i p minus v = i.
The equivalent formula for p = iv is the startfraction p over v endfraction = i
In physics, power measures the rate of transfer of electrical energy through a circuit per unit of time. It is denoted by P and is measured using the SI unit of power (watts or 1 joule/second). Electrical energy is usually supplied by batteries and produced by generators.
There are three types of power, true, reactive, and apparent, which are related in trigonometric form. This is called the power triangle. A power triangle that relates apparent power to active and reactive power. Power is measured in watts. One watt equals one joule per second.
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