The formula that can be used to obtain a convergent series is given by;
a/1 – r.
What is a series?In mathematics, we define a series as sum of numbers which could be convergent or divergent. In a convergent series, the summation of the numbers approaches a given value.
The formula that can be used to obtain a convergent series is given by;
a/1 – r.
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A 20kg object acceleration by a force of 200N with coefficient of kineticfriction is 0.4 what is acceleration of the object?
Answer:
Given - M = 20 kg
k = 0.4
F = 200 N
To find - acceleration
Solution -
F= kMA
200 = 0.4 * 20 * acceleration
200 = 8 * a
a = 8/200
a = 0.04 m s²
a = 0.04 m s²which of the following travels the fastest
Answer:
All move at the same speed
Explanation:
because they are all waves of the electromagnetic spectrum and they all travel at the speed of light
(300 000 km/s)
3. State Newton's first and second laws of equation. A. A body of mass 2kg move vertically upwards has its velocity increased uniformly from 15m/s to 45m/s in 5s. neglecting air resistance, the upward vertical force acting on the body. [g=10ms 2] B. The velocity ratio and efficiency of pulley are 8 and 85% respectively. How much effort is required to lift a load of 120kg with this system [g=10m/s²]
Answer:
See below.
Explanation:
Newton's First Law
A body at rest persists in its state of rest, and a body in motion remains in constant motion along a straight line unless acted upon by an external force.
Newton's Second Law
A body's acceleration is directly proportional to the force exerted on it and is in the same direction as the force. F=mA (Force = Mass x Acceleration)
==============================================
A. A body of mass 2kg move vertically upwards has its velocity increased uniformly from 15m/s to 45m/s in 5s. neglecting air resistance, the upward vertical force acting on the body. [g=10ms 2] B. The velocity ratio and efficiency of pulley are 8 and 85% respectively. How much effort is required to lift a load of 120kg with this system [g=10m/s²]
Force = Mass x Acceleration
Acceleration is (45m/s - 15 m/s)/5 sec) or 6 m/sec^2
Force = 2kg*(6 m/sec^2)
Force = 12 kg*m/s^2 1 kg*m/s^2 is the SI unit for force, and is named 1 Newton(N), after . . . Newton.
Force = 12N
B. I'm not sure how to interpret "The velocity ratio and efficiency of pulley are 8 and 85% respectively." I'll assume "effort" is the energy required.
I'll calculate the energy required in a perfect system, and then we'll consider the efficiency issues.
By lifting an object with mass off the Earth's surface (height = 0 meters) we impart a potential energy, PE, to the object. This energy is stored in the object until it is allowed to move back closer to Earth. This potential energy is given by the equation:
PE = mgh
where PE is potential energy in Joules, m is mass in kg, g is the acceleration due to Earth's gravity (9.8 m/sec^2, but we'll use 10 m/sec^2 as stated in the problem), and h is the vertical distance moved, in meters.
PE = (120kg)(10 m/sec^2)(h). We aren't given a height, h. Let's express the answer in terms of 1 meter: How much potential energy is put into the 120kg load to raise it 1 meter?
PE = (120kg)(10 m/sec^2)(1 m)
PE = 1200 kg*m^2/sec^2 or 1200 kg*m/sec^2 per meter
The unit kg*m/sec^2 is 1 Joule
PE = 1200 Joules/meter
1200 Joules are required to raise 120kg 1 meter. This is increased due to the less-tha-100% efficiency of 85%.
At 85% efficiency, the energy required would be 1200J/0.85 = 1412 J to raise 120kg 1 meter, with 85% efficiency, I don't6 know how to handle the velocity ratio number.
The satellites of Jupiter, Ganymede and Europa, orbit the planet in 7.1 days and 3.5 days. About what is the ratio of the orbit period of Europa to Ganymede expressed as a simple fraction involving the numbers 1,2,3 or 4 in the numerator or denominator
Answer:
1/2
Explanation:
Europa = 3.5 days
Ganymede = 7.1 days
E/U = 3.5 / 7.1 ~~ 1/2
Two liquids A and B of relative densities 0.7 and 0.4 respectively are mixed with water, kl. How will the mixture. arrangement occur in a given container?
The liquid A is present lower in the container as compared to liquid B due to more weight.
How will the mixture. arrangement occur in a given container?If two liquids A and B of relative densities 0.7 and 0.4 respectively then the lower density liquid remain at the top and higher density solution which is liquid A remains lower in the container because higher density solution has more weight.
So we can conclude that the liquid A is present lower in the container as compared to liquid B due to more weight.
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If a liquid has a density of 1.67 g/cm^3, what is the volume of 45g of the liquid?
Answer:
V = 26.95 cm³
Explanation:
Density is given by the formula :
ρ = m÷V
Density = mass ÷ Volume
Given both density and mass we rearrange, substitute and solve for Volume :
Rearranging the equation to make Volume the subject :
ρ = m÷V
ρV = m
V = m÷ ρ
Now substitute :
V = 45 ÷ 1.67
V = 26.9461077844
Take 2 decimal places as the density is 2 decimal places :
V = 26.95
Units will be cm³ as it is volume
Hope this helped and have a good day
A point charge of 5.0 x 10^-7 C moves to the right at 2.6 x 10^5 m/s in a magnetic field that is directed into the screen and has a field strength of 1.8 x 10^-2 T.
What is the magnitude of the magnetic force acting on the charge?
The magnitude of the magnetic force acting on the charge is 2.34×10⁻³ N.
What is magnetic force?
A magnetic force is the force that act in a magnetic field.
To calculate the magnetic force, we use the formula below.
Formula:
F = qvB.........Equation 1Where:
F = magnetic forceq = point chargev = Velocity of the the chargeB = Field strengthFrom the question,
Given:
q = 5.0×10⁻⁷ Cv = 2.6×10⁵ m/sB = 1.8×10⁻² TSubstitute these values into equation 2
F = (5.0×10⁻⁷)(2.6×10⁵)(1.8×10⁻²)F = 23.4×10⁻⁴F = 2.34×10⁻³ NHence, the magnitude of the magnetic force acting on the charge is 2.34×10⁻³ N.
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solar power—generating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid are called ________.
Concentrated solar power facilities are solar power—generating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid .
What is solar power?Solar power refer to electric power or electricity that is generated from sun rays or radiations while using solar panels and other technologies.
Therefore, Concentrated solar power facilities solar power—generating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid.
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A compound microscope that has an eyepiece lens with a magnification of 10X and an objective lens with a magnification of 25X will have a total magnification of __________ times.
Answer:
35
Explanation:
total magnification = eyepiece lens x objective lens
TM = 10X x 25X
TM = 250X
How many moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 1024 fluorine atoms?
12.4 moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms. Details about number of moles can be found below.
How to calculate number of moles?The number of moles in a molecule of a substance can be calculated by dividing the number of molecules by Avogadro's number.
According to this question, a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms. The number of moles in this sample can be calculated as follows:
no of moles = 7.45 × 10²⁴ ÷ 6.02 × 10²³
no of moles = 1.24 × 10¹
no of moles = 12.4moles
Therefore, 12.4 moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms.
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Which one of these is a compound
Answer:
(b) see attached
Explanation:
A compound is composed of molecules, each of which is composed of atoms of two or more different elements.
A single atom of any type is not a compound, nor is a collection of atoms of the same type.
__
The attached figure shows a molecule of HCl, hydrogen chloride. It is a compound.
sound travels through a
Answer:
A.3.64 m
Explanation:
Because
v=(fλ)(1382)=(380)λλ=3.637m~3.64mwhere ,v=velocity
f=frequency
λ=wave length
Answer:
3.64
Explanation:
the formula is Already provided which is Velocity(m/s)= frequency (HZ) × wavelength
making wavelength stand alone
wavelength= velocity/ frequency
wavelength= 1382/380
wavelength= 3.64
NEED ANSWER ASAP!!! Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. You want to find out how fast she must swing the bucket to keep the glass from falling out.
a. Draw the free-body diagram for the glass when it is at the top of the circle.
b. What is the equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r?
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from happening?
d. The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?
a. The free-body diagram for the glass when it is at the top of the circle is attached below.
b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N - mg x Vtop² /R =0
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.
d. The string will break if the tension on it is more than 100 N. The range of speeds can prevent the string from breaking is 3.83< Vtop<4.99 m/s
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.
a. The free body diagram of the bucket and glass is attached below.
b. Bucket will undergo centrifugal force
Fb = mVtop² /R
From the equilibrium of forces, we have
For bucket,
T +mb xg - N = mb x Vtop² /R..............(1)
For glass,
mg x g + N = mg x Vtop² /R..............(2)
Thus, this is the net force equation on the glass.
c. On adding both the equations. we have
T + (mb + mg) xg = (mb + mg) Vtop² /R
Substituting the values, T = 0 and from the question, we get
0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 3.83 m/s
Thus, the speed of spin to prevent glass from falling out is 3.83 m/s
d. The string will break if the tension on it is more than 100 N
100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 4.99 m/s
Thus, the range of velocity is 3.83< Vtop<4.99 m/s
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Magnification of the image is formed by a mirror is -1.25,then answer the following questions
1. Mention the position of the object on the principle access
2. What kind of mirror is used to get the image
3. Mention the characteristics of the image
4. What is the height of the image if the object size is 2 cm
Answer:
below
Explanation:
1. in front of the mirror
2. convex mirror
3.upright and diminished
4.magnification= image height÷object height
-1.25=i.h÷2
ih=-1.25×2
i.h=-2.5
Select the correct location on the image.
Identify the magnetic north pole of Earth’s magnet.
The magnetic north pole of the earth's magnet is in the geographic south pole.
There are two magnetic and geographic poles each, north and southThe two geographic poles are the locations where the earth's axis of rotation passes through which is imaginaryThe magnetic north and south poles are not the same as the geographic north and south polesIn a compass, the needle points to the magnetic north poleBy convention, the magnetic north pole corresponds to the geographic south poleThe magnetic south pole corresponds to the geographic north poleThe magnetic field lines of a magnet start from the magnetic north pole and end at the magnetic south poleThe magnetic north pole of the earth's magnet is the geographic south pole.
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If an object is neutrally buoyant (does not sink or float) in fresh water, the same object placed into salt water would
If an object is neutrally buoyant (does not sink or float) in fresh water, the same object placed into salt water would float.
What is Buoyancy?Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.
In this case, we have salt water that is denser, allowing almost no objects to sink, so the buoyant force is greater that acts on the object.
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At first the contact force from mud on each wheel is 2000n explain why the wheels will start to sink
The wheels will start to sink due to no friction by the mud to take the grip.
What is frictional force?When an object is moving on a rough surface, it experiences opposition. This opposing force is called the friction force.
Given is the contact force from mud on each wheel is 2000N . Assume the only other force acting on the block is that due to gravity.
The friction force is given by
f = coefficient of friction x Normal or contact force
The mud is soft and viscous. When the wheels are rotating, the car will be sinking in mud. This happens due to no grip. Car tries to get out of the mud, but instead it digs itself.
Car needs grip or frictional force to get out from the mud. There is no friction with the ground. Exactly friction makes car's wheels to displace.
Thus, the wheels of the car sink because of no friction from mud.
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ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. In working this problem, assume the value of "g" to be 9.8 m/s2 with two (2) significant digits unless otherwise stated. Calculate the increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high.
5880
600
58,800
The increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high is 5,880 J.
Increase in the potential energy of the man
The increase in the potential energy of the man is calculated as follows;
P.E = mgh
where;
m is mass of the manh is height attained by the mang is acceleration due to gravityP.E = 60 x 9.8 x 10
P.E = 5,880 J
Thus, the increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high is 5,880 J.
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state advantages of ultrasonic sound in determining the depth of the ocean
Answer:
It has greater accuracy than other nondestructive methods in determining the depth of internal flaws and the thickness of parts with parallel surfaces.
Explanation:
Hope this helps you!
Question 2 of 32
What did Ernest Rutherford's experiment of a beam of alpha particles aimed
at a sheet of gold foil lead him to conclude?
Samuel pushes against a door with a force of 10N, but the door doesn't move. Has Samuel done work on the door?
No, Samuel hasn't done work, Since the door doesn't move.
What is work done?Work is said to be done when an applied force moves an object over a given distance.
W = Fd
where;
W is work doneF is the applied forced is the distanceSince the door doesn't move, we can conclude that Samuel hasn't done work.
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1. George is traveling to Boston from Springfield. Springfield is 144
kilometers from Boston. If speed-(distance)/(time), how fast was he
going if it took him 3 hours to get to our state capital?
Answer:
48 kilometers per hour
Explanation:
144/3 = 48 km/h
The strength of a magnetic field around a wire carrying a current of 20 A is 0.004 T. What is the strength of the magnetic field if the current is changed to 40 A ?
Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T
What is the strength of the magnetic field if the current is changed to 40 A ?Given that;
First scenario
Strength of magnetic field B = 0.004TCurrent A = 20ASecond scenario
Strength of magnetic field B' = ?Current I' = 40AFirst, we determine the strength of the magnetic field.
B/I = B'/I'
0.004T/20A = B'/40A
B' = ( 0.004T × 40A ) / 20A
B' = 0.16AT / 20A
B' = 0.008T
Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T
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3. A body accelerates constantly at 4m/s² from rest for a distance of 60m. a) How long did it take to reach a distance of 60m? [2] b) Calculate the velocity reached.
Answer:
will you mark brainliest.
Two marbles, one twice as heavy as the other, are dropped to the ground from the roof of a building. Just before hitting the ground, the heavier marble has 1. as much kinetic energy as the lighter one. 2. twice as much kinetic energy as the lighter one. 3. half as much kinetic energy as the lighter one. 4. four times as much kinetic energy as the lighter one. 5. impossible to determine
Given that one marble is twice as heavy as the other, the correct statement is: the heavier marble has twice as much kinetic energy as the lighter one
How to determine the energy of the lighter marbleMass = mAcceleration due to gravity = gHeight = hKinetic energy of light marble (KE₁) =?KE = PE = mgh
KE₁ = mgh
How to determine the energy of the heavier marbleMass = 2mAcceleration due to gravity = gHeight = hKinetic energy of heavier marble (KE₂) =?KE = PE = mgh
KE₂ = 2mgh
How to campare both kinetic energies Kinetic energy of light marble (KE₁) = mghKinetic energy of heavier marble (KE₂) = 2mghComparison (KE₂ / KE₁) =?KE₂ / KE₁ = 2mgh / mgh
KE₂ / KE₁ = 2
Cross multiply
KE₂ = 2 × KE₁ =
KE₂ = 2KE₁
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Where is UTC the local time?
UTC is generally adopted as the local time at Prime Meridian (PM).
What is UTC?UTC is an abbreviation for Coordinated Universal Time and it can be defined as a local time standard by which all clocks, time and time zones are regulated around the world.
This ultimately implies that, Coordinated Universal Time (UTC) is generally adopted as the local time at Prime Meridian (PM) because it nominally reflects mean solar time.
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6.Riding his bike, Mike can start from rest and get going at 10 m/s in 4 seconds. Joy can get
going 15 m/s in 5 seconds. Who has a greater acceleration? How do you know?
Answer:
Joy has a greater acceleration.
Explanation:
Mike
v = v₀ + at
10 = 0 + 4a
a = 2.5 m/s²
Joy
v = v₀ + at
15 = 0 + 5a
a = 3 m/s²
--
Using the UAM equations, we can determine that Joy's acceleration is 3 m/s² while Mike's acceleration is only 2.5 m/s².
Find the mass of a sample of water if its temperature dropped 24.8 °C when it lost 870 J of
heat. (Remember that specific heat capacity of water 4200 J/kg °C)
Answer:
8.35 ×[tex]10^{-3}[/tex] kg
Explanation:
Remember the formula for heat:
[tex]Q=mc\Delta T[/tex]
You just need to solve for m, doing so you're left with:
[tex]m=\dfrac{Q}{c\Delta T}[/tex]
Replace the variables with numbers and that's it.
The mass of a sample of water is 0.841 kg.
What is specific heat?Specific heat is the amount of heat energy required to raise the temperature of one unit of mass of a substance by one degree Celsius (or Kelvin). It is a characteristic property of a substance that reflects its ability to store and release thermal energy.
Different substances have different specific heat capacities, depending on their chemical composition and physical properties. For example, water has a high specific heat capacity of 4,200 joules per kilogram per degree Celsius (J/kg°C), which means that it takes a large amount of heat energy to raise the temperature of water by one degree Celsius. In contrast, metals such as copper and aluminum have much lower specific heat capacities, which means that they heat up and cool down more quickly than water when subjected to the same amount of heat energy.
The specific heat of a substance can be measured experimentally using calorimetry, which involves measuring the amount of heat energy absorbed or released by a substance as it undergoes a change in temperature. The specific heat of a substance is an important parameter in many fields of science and engineering, including thermodynamics, materials science, and environmental science.
Here in the Question,
We know the formula:
Q = mcΔT
where:
Q = amount of heat lost by the sample of water, which is -870 J (negative because heat is lost)
m = mass of the sample of water, which is what we need to find
c = specific heat capacity of water, which is 4200 J/kg °C
ΔT = change in temperature, which is -24.8 °C (negative because temperature dropped)
Substituting the values, we get:
-870 J = m(4200 J/kg °C)(-24.8 °C)
Simplifying, we get:
m = -870 J / (4200 J/kg °C × -24.8 °C)
m = 0.841 kg
Therefore, the mass of the sample of water is 0.841 kg.
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the magnitude of the electric potintial and of the electrolstatic force depend on which two factors
answer:
Distance and amount of charge
also:
size, type
Electrostatic force F=k Q q / r^2
It depends on
1. Charge on which force is acting.
2. Charge due to which force is acting
3. Distance between the two charges.
4. Material medium in which the charges are placed (eg air, water, oil etc)
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PLEASE HELP
Identify and describe at least (3) physical science concepts to help with blackout.
Physics science in blackout involves the transmission of electrical impulses, neurotransmitter signaling and loss of coordination (body movements).
What is blackout?The expression 'blackout' refers to the loss of memory remembers of one person due to the effects of alcohol.
During this process, a person may lose his/her ability to move due to failure in the transmission of electrical impulses and neurotransmitter signaling.
In conclusion, physics science in blackout involves the transmission of electrical impulses, neurotransmitter signaling and loss of coordination (body movements).
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