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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can a person run at a speed of 20 meters per second
Answer:
No
Explanation:
The fastest recorded time for a person to run 100 metres is 9.58 seconds, which is the equivalent of 10.4 metres per second
Answer:
No
Explanation:
Humans can run as fast as 19.3m/s, using their full possible energy.
A car is moving with constant velocity of 30m/s what is it's acceleration in 10s
Answer:
0 m/s²
Explanation:
Acceleration is defined as the rate of change of velocity:
[tex]acceleration = \frac{change \space\ in \space\ velocity}{time taken}[/tex] .
As the velocity is constant, change in velocity = 0.
∴ acceleration = 0/ 10
= 0 m/s²
If you separate vector B into its components. How many components will it have? Those components will be called?
The vector B will have two components and those components will be called resultant vectors.
What is a component vector?
A component vector is a unit vector that represents a given vector in a particular direction.
A vector can be represented in x - direction and y - direction.
x - component of the vector = Bcosθy - component of the vector = BsinθThus, the vector B will have two components and those components will be called resultant vectors.
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Find the momentum of a body of mass 5kg moving with velocity of 4.5m/s
Momentum= mass × velocity
momentum= P
P= m×v
P= 5×4.5
P=22.5
I hope this helps.
What is the crosswind component for a landing on runway 18 if the tower reports the wind as 220° at 30 knots?
From the head wind component charts, the crosswind component for a landing on runway 18 is 19 knots.
What is crosswind component?
When winds are not parallel to or directly with the line of travel, the wind is said to have a crosswind component.
From the head wind component charts, at 220° at 30 knots, the corresponding crosswind component is 19 knots.
Thus, from the head wind component charts, the crosswind component for a landing on runway 18 is 19 knots.
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it is easier to drag a stone than to kick it for the same distance. why
Answer:
it is easier to kick a stone than to drag a stone.
Explanation:
the science behind the question is fairly simple.
when you kick and object for say a (rock) you have inertia which is made from you clocking your leg back and swinging it full force forward. when you kick with inertia, you will have a much further travel distance of the object rather than dragging it which is almost set at a certain rate of how fast you are moving (m) and how much inertia you are using by pulling (p)
so m+p=i for inertia. hope this helped
Tatenda is making tea and
toast. He uses an 800W
toaster for 2.5 minutes and
a 2kW kettle for 5 minutes.
What is the total cost for
the energy used if
electricity costs 10p per
unit?
The total cost for the energy used if electricity costs 10p per unit is determined as 2p.
Total energy consumedThe total energy consumed during the process is calculated as follows;
E = Pt
where;
P is power (kW)t is time (hr)E = (800 W/1000) x (2.5 /60) + (2 kW) x (5/60)
E = 0.8 kW x 0.042 hr + 2kW x 0.083 hr
E = 0.0336 kW-hr + 0.166 kW-hr
E = 0.1996 kW-hr
Cost of the energy consumptionC = E x 10p
C = 0.1996 kW-hr x 10p
C = 1.996p
C ≈ 2p
Thus, the total cost for the energy used if electricity costs 10p per unit is determined as 2p.
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What do you need to add to vector A to get zero as a result?
To get zero as a resultant of vector A, we need to add another vector that has the same magnitude and different direction to vector A.
What are vectors?Vectors are those quantities that has both magnitude and direction.
The result or resultant of two vectors is the single value obtained when two vectors are combined.
For a vector to have a resultant of zero, the vector need to be added to another vector of the same magnitude and different direction.
From the above,
To get zero as a resultant of vector A, we need to add another vector that has the same magnitude and different direction to vector A.
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A car is moving at a rate of 72km/hr . How far does the car move when it stops after 4 seconds?
step by step asap pls
Answer:
The car will stop after 4 seconds after moving the distance of 0.08km.
Explanation:
The reading above it clearly states that a car is moving at a speed of 72Km/hr. And it asking for the distance the car move when it stops after 4 seconds.
Looking at speed formula , speed=distance÷time.
But in this problem we I finding distance, so in speed formula make distance the subject.
Therefore distance = speed × timeBefore going ahead you should have this in mind the unit for distance is Km and m . Our speed is in Km/hr but our time is in second. In this case change 4 seconds to hour which is 0.00111 hr .you change second to hour because hr will cancel hr when solving for distance giving distance unit Km
Distance = speed × time
Distance= 72km/hr × 0.00111 hr
hour cancel hour
Distance= 72km × 0.00111
Distance = 0.08km
Therefore the car will stop after 4 seconds after moving the distance of 0.08km.
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conversion :
72 km/h = 72 × (1000/3600) = 20 m/s
so, in 4 seconds it travel
4 × 20 = 80 meters = 0.08 kmIf m = 2,000, p = 2. 25, and y= 6,000, what is velocity?
The velocity is 6.75
The velocity in the equation stated above can be calculated as follows
m= 2,000
p= 2.25
y= 6000
velocity= 2.25 × 6000/ 2000
= 13500/2000
= 6.75
Hence the velocity is 6.75
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Trivia Time!! At what velocity does light move?
Explanation:
Light Light from a moving source travels at 300,000 km/sec (186,000 miles/sec).
Note:
The Speed of Light Is Constant.
Explanation:
LIGHT TRAVELS AT A CONSTANT VELOCITY OF 300,000 km/sec.
which 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)
two examples of hydraulic brake
Answer:
1). Brake pedal or lever
2). A pushrod also called an actuating rod
How much thermal energy does it take to raise the temperature of 4.5kg of water for 12C to 97C the specific heat of water is 1.68kj
Answer:
The amount of thermal energy needed is 626.6 J
Explanation:
When a certain amount of heat energy Q is supplied to a substance, the temperature of the substance increases according to the equation
where m is the mass of the substance is the specific heat capacity of the substance is the change in temperature
Answer:
642.6 kJ
Explanation:
Using the formula for heat energy required:
[tex]Q = mc \Delta T[/tex] ,
where:
C → specific heat capacity = 1.68 kJ/kg°C
Q → heat energy required = ?
m → mass of the object = 4.5 kg
ΔT → change in temperature = 97°C - 12°C = 85°C,
Q = 4.5 x 1.68 x 85
= 642.6 kJ
A downward force of magnitude 5 n is exerted on the book by the force of.
Answer:
A downward force of magnitude 5 N is exerted on the book by the force of ... Do the downward force in Part A (gravity) and the upward force in Part B ...
A crate hangs from a ring at the middle of a rope, as the drawing illustrates. a person is pulling on the right end of the rope to keep the crate in equilibrium. can the rope ever be made to be perfectly horizontal
Answer:
No
Explanation:
In order for the rope to be perfectly horizontal, there must be a vertical component in tension
Which moon shows evidence of rainfall and erosion by some liquid substance?.
Answer:
Titan.It is the largest moon of Saturn
Use wave equation calculate the speed of sound in the air if frequency of 110 hz has a wave length of 3 m
one of the rare galaxies that is isolated in space is likely to be a(n) ____.
The rarest type of galaxies is the elliptical double-ringed galaxy.
What is the rarest type of galaxy?elliptical double-ringed galaxy is considered as the rarest type of galaxy because of its small number. The example of such type of galaxy is PGC 1000714. Scientists suggest that about 0.1% of galaxies are of this type.
So we can conclude that the rarest type of galaxies is the elliptical double-ringed galaxy.
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A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.
Answer:
Higher mass or higher speed
Explanation:
Higher mass will require more force
F= ma if m goes up F goes up to stop in the same distance
the mechanical advantage of a simple machine is 3 and its velocity ratio is 4 find its efficiency
Answer:
75%
Explanation:
Efficiency=MA/VR*100
=3/4*100
=0.75*100
=75%
which of the following travels the fastest
All move at the same speed.
Explanation:
Electronic magnetic spectrum includes radio waves, micro waves, infra red, visible light, ultra violet, x-rays, gamma rays. These all electromagnetic waves travel at the same speed of light of about 300,000,000 m/s through vacuum. Though they have different wavelength, their speed is same.
which group on the periodic table wants to gain 2 electrons?
Answer:
Periodic
Explanation:
The groups in the periodic table that want to gain electrons are groups; 15, 16 and 17. The members of these groups are mostly nonmetals.
Even though it's not very popular these days, I like our system . Getting together to talk about who the best candidate might be makes me feel like we're really part of democracy. After the debate, we vote. In my state, any voter can participate. It's all pretty informal. What system for selecting party nominees does the passage describe? . Mixed primary B. Caucus C. Open primary . Closed primary
Answer:
I think it would be C: open primary
Explanation:
5. Calculate the area if the force is 368N and the pressure is 28Pa..
The area would be 13.1429 Meter².
Answer:
[tex]\boxed {Area = 13.14 m^{2}}[/tex]
Explanation:
Formula applied :
[tex]\boxed {Area = \frac{Pressure}{Force}}[/tex]
Given :
Force = 368 NPressure = 28 PaSolving :
Area = 368/28Area = 92/7Area = 13.14 m² (approx.)The speed of sound in wood is 3300 m s−1 and the speed of sound in air is 330 m s−1. A hammer hits one end of a 33 m long plank of wood. Find the difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air.
The difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air will be 0.09 sec.
What is a sound wave?A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.
Given data;
The speed of sound in wood,u= 3300 m/s
The speed of sound in air,v=330 m/sec
long plank of wood, L=33 m
The time period in the air was found as;
T₁ = 33 m / 330 m/sec
T₁= 0.1 sec
The time period in wood ;
T₂= 33 m / 3300 m/sec
T₂=0.01 sec
T = T₁ - T₂
T=0.1-0.01
T=0.09 sec
Hence, the difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air will be 0.09 sec.
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What is a characteristic of a catamaran hull? tends to pitch in waves only recommended on calm inland waters planes at low speed a stable ride
A Stable Ride is the main characteristic of a catamaran hull.
What is catamaran hull?
Catamaran Hull is a multi-hulled watercraft, which have two parallel hulls of equal size.
The characteristic of a catamaran hull are as follows:
A catamaran hull has less volume than an equal size monohull.Catamaran hulls are distinguished by lighter displacement and shallower draft when compared to monohulls of the same length. Catamarans can be used in shallow waters as well. This feature makes catamarans quite flexible and versatile.Catamaran has multiple hulls, usually two parallel hulls of equal size. This geometric feature gives the craft an increased stability.Catamarans derives extra stability from its wide beam, in the place of a ballasted keel employed in a regular monohull sailboat.Therefore, Catamarans has a stable ride, according to their characteristic.
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1) Two students are making their way to school. One has a bike and the other
is on foot. If the student on foot is going at a speed of 3 m/s and they make
it to school in 30 s, how far away was the school?
To find how far away the school is:
3m/s * 30 s = 90m
Hope it helps!
what will be the effect on the weight of displaced water if the load is added into the ship floating in the ocean?write with reason.
Answer:
the weight of displaced liquid is equal to the submerged part of ship. so on adding more weight to ship net buyoncy acting on ship increases and more the ship sinks in sea thus weight of displaced liquid increases.
Explanation:
A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m, what speed must it have initially to reach the hole?
it's grade 11 physics, so the more equations the better, thanks :d
The speed the golf must have initially to reach the hole is 31.32`1 m/s.
What is projectile?When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.
A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m.
The angle with which the ball flies,
tan θ = 25 m/ (50m/2)
tan θ =1
θ =45°
If u is the initial speed, the maximum height of the ball is
H = u² sin²θ / 2g
Put the values, we get
25 = u² sin²45 / (2x9.81)
u = 31.321 m/s
Thus, the initial speed is 31.321 m/s
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