If one was Blake, they are bound to be surprised at the difference in their investment returns if they didn't do the math already. The differences in the results they got were due to the principles of compound interest. To do things differently would be to increase the amount invested per month and to start much earlier.
What is compound interest?
Compound interest is the adding of interest to the principal sum of a loan or deposit, or interest on interest plus interest.
When you let money collect at compound interest for an extended length of time, it grows faster than you can conceive. You may use the Rule of 72 to calculate how long it will take for your investment to double at any interest rate. Divide the interest rate by 72 to get the answer.
Compound interest accelerates the growth of your money since interest is computed on both the cumulative interest over time and the original principal. Compounding can cause a snowball effect, in which the initial investments and the income derived from those assets expand in tandem.
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Full Question:
When Jack turned 21, he decided to start investing $200 a month every year for nine years. At age 30, he decided to stop investing altogether. But his friend Blake started when Jack stopped, investing $200 a month every month starting at age 30, all the way until the ripe old age of 68.
So at age 68, who do you think had more money in their account? Let’s do the math.
At the end of nine years, Jack invested $21,600, didn’t invest another dime, and ended up with close to $2.35 million at age 68. Let’s say that again—$2.35 million! That’s the power of compound growth, friends.
And Jack’s friend Blake invested a whopping $91,200 over the course of 38 years. At age 68, he had built up $1.3 million, but he never caught up with Jack.
So how did Jack do it? He didn’t invest nearly as much as Blake did but ended up with over $1 million more. Compound growth can turn more than $20,000 invested in nine short years into almost $2.35 million over 38 years! Try our compound interest calculator which will do the calculations for you.
Question:
Think about the jack and blake example. If you were blake, what would your reaction be and what would you have done differently?.
A baseball is thrown at an angle of 29° relative to the ground at a speed of 29.8 m/s. The ball is caught 76.7687 m from the thrower.
The
acceleration due to gravity is
9.81 m/S'
2
How long is it in the air?
Answer in units of s.
Answer:
2.94 sec
Explanation:
Horizontal component of velocity = 29.8 cos 29°
Rate * time = distance
29.8 cos 29 * t = 76.7687 m
t = 2.94 sec
What is used on some electric and hybrid vehicles to cool the power electronics and charger modules?.
Thermal system is used on some electric and hybrid vehicles to cool the power electronics and charger modules.
What is thermal system?
An isolated system has no interaction with the rest of the physical universe, a closed system can only exchange heat and work, and an open system can also exchange mass. In thermodynamics, a system is the portion of the physical universe that the observer chooses to analyse separately from the rest.
A thermal system, on the other hand, is a complex assembly of coupled components, some of which are thermal, that exhibits a common structured behavior for instance, a refrigerator consists of pipes, a compressor, an electric motor, heat exchangers, valves, insulation, a casing, doors, a lamp, and other components that interact to achieve the internal goal of producing cold.
The interior space or the refrigerant are thermodynamic systems, whereas a refrigerator is a thermal system. While large thermal systems, like a refrigerated store, are constructed on the job site, small thermal systems, like a refrigerator, typically come fully installed from the manufacturer (although a straightforward split-air-conditioning system needs installation). Thermal systems often require services such as fuel supply, flue stack, water intake and exit, air intake and exit, and electrical supply (for power or at least for control).
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A gust of wind blows an apple from a tree.
As the apple falls, the force of gravity on the
apple is 9.30 N downward, and the force of
the wind on the apple is 1.96 N to the right.
What is the magnitude of the net external
force on the apple?
Answer in units of N.
The magnitude of the net external force on the apple is 9.50 N
What is force?Force is that thing that causes a change in motion or state of rest of an object.
How to calculate the magnitude of the net external force on the apple?Since a gust of wind blows an apple from a tree, as the apple falls, the force of gravity on the apple is 9.30 N downward and the force of the wind on the apple is 1.96 N to the right,
the gravitational force is F = -(9.30 N)j and the force of the wind is F' = (1.96 N)iSince the forces are perpendicular, the magnitude of the net external force on the apple is F" = √(F² + F'²)
So, substituting the values of the variables into the equation, we have
F" = √(F² + F'²)
F" = √[(-9.30 N)² + (1.96 N)²]
F" = √[86.49 N² + 3.8416 N²]
F" = √(90.3316 N²)
F" = 9.504 N
F" ≅ 9.50 N
So, the net force on the apple is 9.50 N
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where should you put a third mass m so that the net gravitational force on m due to the two masses is exactly zero?
The particle with a mass of 3m should be to the left of the third mass, and the particle with a mass of m should be to the right.
Briefing:F = GMm/r² So that the net gravitational force exerted on M by the two masses is exactly zero, we must now determine where to place a third object of mass M.
Why is it called gravitational force?Because it consistently attempts to pull masses together rather than pushing them apart, the gravitational force is known as attractive. It is obvious that the gravitational force directly relates to the masses of the two interacting objects; larger, more massive objects will pull apart with a stronger gravitational force.
Gravity has a big impact on us. We would not be able to live on Earth without it. Due to the sun's gravity, Earth revolves around it, keeping us at a comfortable distance from it to experience the planet's warmth and light. It maintains the environment and air we need to breathe.
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What must be in cm, the barometric height so that the pressure is 1000 mbar?Density of mercury: 13.6
75.064 cm
Explanation
to solve this we need to know the equivalence
[tex]1mmbar=0.075006cmHg[/tex]then
let's use a equivalente fraction to convert the measure
[tex]1000\text{ mbar(}\frac{0.075006\text{ cm HG}}{1\text{ mbar}})=75.064\text{ cm Hg}[/tex]hence, the answer is 75.064 cm
I hope this helps you
what should I say? This makes me scratch my head in confusion
Newton's first law of motion is also known as the law of inertia. Newton's first law applies whether the object is in motion or not.
Objects do not change motion unless a force is applied. The second law states that the force on an object is equal to its mass times its acceleration. The third law states that when two objects interact, forces of equal magnitude and opposite directions are applied to each other. The law of motion shown in the picture is Newton's first law of motion.
According to Newton's first law of motion, a person at rest does not change motion until some pressure is applied. Newton's first law of motion describes how inertia affects moving and stationary bodies. Newton's first law states that an object will either remain stationary or move in a straight line with constant velocity unless an unbalanced force acts on it. Another name for Newton's second law is the law of force and acceleration.
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A projectile is shot horizontally off the roof of a building with a speed of 45 m/s and falls to
the ground in 3.2 seconds.
a. What is the horizontal displacement of the projectile?
I
b. How high is the building?
I think that the awsand is 147.2 .
hi hello can i get help on this ASAP
its two questions just to let you know
please please help
The whole wheat bread contains more protein than the white bread .
if you eat tossed salad without ranch dressing ,you gain 4 grams of protein.
What is tossed salad ?
a green salad that frequently includes additional veggies (such sliced tomato and cucumber) and is dressed with oil.
Benefits of eating salads :
Healthy Salads Help You Get Enough Fruits and Vegetables.
Vegetable and Fruit Salads are Full of Fibre.
Healthy Salads Cut Calorie Consumption.
You’ll Get Access to Good Fats.
A Salad Provides Water .
Salads Can Cool You Down.
What is whole wheat bread ?Using flour that has been partially or totally milled from whole or nearly-whole wheat grains, whole wheat bread, also known as wholemeal bread, is a type of bread. For more information, see whole-wheat flour and whole grain. It is a specific type of brown bread. Outside of the United States (such as the UK), whole grain bread and wholemeal bread are synonyms or close synonyms for whole-wheat bread. In some US regions, the bread is simply referred to as wheat bread in contrast to white bread. When compared to the nutritional worth of a high-quality loaf, some varieties of whole-wheat bread are customarily sprinkled with whole or broken grains of wheat.
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An unsupervised child has snuck away from a guided tour on a family vacation to
Mars. They decide it would be fun to throw something from a small cliff, since it will
travel pretty far, given that the acceleration due to gravity on Mars is only 3.7 m/s2.
So, they throw a stone with a speed of 8.2 m/s, at an angle of 60 degrees above the
horizontal. The cliff has a height of 12 meters, and the child releases the thrown stone
at a height of 1.1 meters above the top of the cliff.
How much time passes between when the stone is thrown and when it hits the ground?
What is the horizontal displacement of the stone (between where it thrown and where
it hits the ground)?
What is the speed of the stone when it hits the ground?
The Time taken by the stone to reach tot he ground is 2.10 seconds, the horizontal displacement of the stone is 1.95 meters, and the speed of the stone when it reaches the ground is 9.5m/s.
The height H of the cliff from which the child has thrown the stone is 12m.
The value of acceleration due to gravity on mars is 3.7m/s².
The angle at which the stone is throw is 60°.
The initial speed of the stone is 8.2m/s.
The kid releases the stone from the height 1.1m above the height of the cliff.
So, the total vertical displacement of the stone is 13.1 meters.
The time of flight T of the stone can be found by using this equation of motion,
T = 2Usinα/a
Where,
U is the initial velocity,
α is the angle at which the stone is thrown,
a is the acceleration.
Putting the values,
T = √[2(√3)8.2/(3.2)(2)]
T = 2.10 seconds.
Total time of flight is 2.10 seconds.
As there is no acceleration in horizontal direction, so, horizontal direction, and the velocity in horizontal direction is Ucos60°,
So, horizontal displacement R is ,
R = Ucos60°/T
U is the initial velocity,
putting the values,
R = 8.2/4.2
R = 1.95 meters.
Horizontal displacement is 1.95 meters.
The speed S when it hits the ground is,
S = √(2aH)
Where,
a is acceleration,
H is the horizontal displacement,
S = √(2x3.2x13.1)
S = 9.15 m/s.
The speed of the stone on touching the ground is 9.1m/s.
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A little green moon person stands by the rim of a crater on the Moon, where
the freefall acceleration is 1.62 m/s2 and there is no air resistance. The crater
has vertical walls. To determine the depth of the crater, she drops a rock and
measures the time it takes for it to hit the bottom. If the depth of the crater is
120 m, after what time interval will the rock hit the floor of the crater?
Answer:
Time:
t = 12 s
Explanation:
Given:
g = 1.62 m/s
H = 120 m
V₀ =0 m/s
__________
t - ?
From the formula:
H = V₀·t + g·t² / 2
H = g·t² / 2
we find the time:
t = √ (2·H / g)
t = √ (2·120 / 1.62) ≈ 12 c
Do I fill out this chart right? Can you please check my work? Maybe I have some mistakes
ANSWER
EXPLANATION
Ice is the solid state of water - think about ice cubes you'd use to cool a soda, they are in solid state.
Water at room temperature is always liquid - remember that 'room temperature' is about 25°C.
Saudi arabia and russia, acting as leaders of the opec plus energy cartel, announced what action this week in a bid to increase oil prices?.
Saudi Arabia and Russia, acting as leaders of the OPEC plus energy cartel, announced the cut in production this week in a bid to increase oil prices.
What is Production?This is referred to as the process in which goods and services are made or produced from raw materials into finished products and examples include cement, furniture etc.
The leaders of the OPEC plus energy cartel, announced that there will be a cut in production this week so as to raise the prices. This is because when goods become scarce the the price will increase due to very limited numbers being available.
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a resistor, inductor, and capacitor are connected in series, each with an effective (rms) voltage of 63.0 v, 176 v, and 65.0 v, respectively. what is the magnitude of the phase angle in this circuit?
In this circuit, the phase angle's magnitude is 88V.
What is the Phase angle?The phase mismatch between the circuit's current and voltage is referred to as the phase angle. In a circuit made entirely of resistors, there is no phase difference. In the purely inductive circuit, however, the current trail the voltage by a phase angle of 90 degrees.
Describe the LCR circuit.A series or parallel connection between an inductor (L), capacitor (C), and resistor (R) constitutes an LCR circuit. It is also known as an RLC circuit, a tuned circuit, or a resonant circuit. For better comprehension of the LCR circuit analysis, use phasors. A spinning quantity is a phasor.
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A group of physics students are on a bridge that is an unknown distance above the river below. They are dropping objects from the bridge platform and recording their results. Answer the following questions about their experiment.
17. The students want to calculate how high the bridge is above the water. They are able to measure time accurate to the tenth of a second. How will this limit the precision of their height calculations?
If the time is measured accurately to a tenth of a second, the height calculated will be precise to one hundredth of a meter.
According to Equations of motion,
s = ut + 1 / 2 at²
s = Displacement
u = Initial velocity
t = Time
a = Acceleration
If an object is dropped,
u = 0
a = 9.8 m / s²
s = 0 + ( 1 / 2 * 9.8 * t² )
s = 4.9 t²
If the time value is accurate to one-tenth of a second, then two time values multiplied will be accurate to one-hundredth of a second and so will the height in turn which will be measured in meters.
Therefore, if the time is measured accurately to a tenth of a second, the height calculated will be precise to one hundredth of a meter.
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How long will it take for a car to come to a complete stop when traveling at 45 miles per hour if its acceleration is -3 miles/hr/sec?
ANSWER:
15 sec
STEP-BY-STEP EXPLANATION:
Given:
Initial speed (u) = 45 mph
Final speed (v) = 0 mph
Acceleration (a) = -3 mph/s
To make it easier to calculate them, we convert all units to the same unit, distance in meters and time in seconds, therefore:
[tex]\begin{gathered} \text{ 1 Miles per hour \lbrack mph\rbrack equals 0.44704 Meters per second \lbrack m/s\rbrack} \\ \\ \text{ 1 Mile per hour per second \lbrack mph/s\rbrack equals 0.44704 Meters per second}^2\text{ \lbrack m/s}^2\text{\rbrack} \\ \\ \text{ Therefore:} \\ \\ u=45\text{ mph}\cdot\frac{0.44704\text{ m/s}}{1\text{ mph}}=20.1168\text{ m/s} \\ \\ a=-3\text{ mph/s}\cdot\frac{0.44704\text{ m/s}^2}{1\text{ mph/s}}=-1.34112\text{ m/s}^2 \end{gathered}[/tex]Now, we use the following formula to calculate the braking time:
[tex]\begin{gathered} v=ut+at^2 \\ \\ \text{ we replacing} \\ \\ 0=20.1168\cdot t+(-1.34112)t^2 \\ \\ 0=t(20.1168-1.34112t) \\ \\ 20.1168-1.34112t=0 \\ \\ t=\frac{20.1168}{1.34112} \\ \\ t=\text{ 15 ec} \end{gathered}[/tex]That is, it will take 15 seconds to stop.
Two of the tires on a tractor-trailer have 1.5 m diameters. If the tractor-trailer travels at a linear velocity of 3.0 m/s, what is the angular velocity of each tire?
Remember:
Δω=Δθ/Δt
v=rw
a.
2.0 rad/s
c.
4.0 rad/s
b.
2.3 rad/s
d.
4.5 rad/s
The angular velocity of each tire from the calculation that we have done is 4.0 rad/s.
What is the velocity?Let us recall that the linear velocity is the rate of the change of the displacement of an object with time. We now know that it is possible to relate the angular velocity with the linear velocity by the use of the equation;
v=rw
We now have
v = lnear velocity
r = radius
w = angular velocity
w = v/r
w = 3.0 m/s/(1.5 m/2)
w = 4.0 rad/s
Thus we obtain that we have found the angular velocity as 4.0 rad/s.
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A rock is dropped off a 60 m high cliff. How long will it take the rock to reach the bottom?
*
10 points
2.5 sec
3.5 sec
6.12 sec
12.25 sec
The rock will take 3.5 seconds to reach the bottom when dropped off a 60 m high cliff. Therefore, option (C) is correct.
What are equations of motion?The equations of motion are equations that are used to describe the motion of an object as a function of time. These equations apply to an object moving linearly in a straight line with uniform acceleration.
The three equations of motion are represented as:
[tex]v = u+at[/tex]
[tex]S= ut +\frac{1}{2} at^2[/tex]
[tex]v^2= u^2+2aS[/tex]
The initial velocity of the rock, u = 0
The acceleration of the rock, a= g = 9.8m/s²
The height that rock travel, S = 60m
From the equation of motion calculate the final velocity of the rock:
v² = (0)² + 2 ×9.8×60
v² = 1176
v = 34.29 m/s
From the equation of motion, calculate the time takes the rock to reach the bottom:
v = u+at
34.29 = (0) + (9.8) (t)
t = 3.5 sec
Therefore, the rock will take 3.5 seconds to reach the bottom.
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A box weighing 10 N is sitting on a surface that is tilted upward at a 45⁰ angle. The normal force is __________ 10 N.
a. equal to
b. less than
c. greater than
The normal force is less than the 10 N
Since we are given a box weight that is 10 N tilted at 45⁰, so the formula we refer from the figure to for calculating the normal force is:
N=mg⋅cos θ , where mg is the weight of the box and θ is the angle at which the box is shifted.
The flatter the incline to be, the normal force becomes greater. The littler an angle gets to be making the greater the esteem of cosine gets to be, and along these lines the greater the normal force becomes.
So, we get that the normal force will be
= 10 cos 45 (Since the value of mg is 10 N and θ = 45⁰)
= 7.07 N
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a 200 n sign hangs from the middle of a cable between two buildings. the ends of each cable are attached to each building at the same height. the cable cannot exceed 1500 n without breaking. find the minimum angle that the cable can make from the horizontal.
[tex]3.82[/tex]° is the minimum angle that the cable can make from the horizontal without breaking
For the sign to be in equilibrium, the net force on the sign in vertical direction must be zero. The forces acting on the sign in the vertical direction are the vertical components of the tension forces in cable from each building acting in the upward direction and the weight of the sign acting in downward direction. The vertical components of the tension forces must be equal. Thus, the force equation in the vertical direction can be written as,
[tex]2T sin \theta-W=0[/tex]
Here, T is the maximum tension the cable can withstand, [tex]\theta[/tex] is the angle the cable makes with the horizontal and W is the weight.
Rearranging the equation,
[tex][sin \theta=W/2T],[\theta=sin^-1W/2T],[=sin^-1200N/2(1500N],[=3.82[/tex]]
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The proportionality dependence of the current (i) through any conductor to the voltage (v) across it and its resistance (r) is true for all conductors regardless of temperature.
a. True
b. False
It is FALSE that the proportionality dependence of the current (i) through any conductor to the voltage (v) across it and its resistance (r) is true for all conductors regardless of temperature.
When the conductors have a higher temperature, the molecules in the conductor will be more crowded and the result is the resistance of the conductor will rise. Hence, the current flowing through the conductor will decrease in the same voltage.
In the lower temperature, the resistance of the conductor will decrease and lead to more current flowing through the conductor in the same voltage.
Thus, the conductor temperature has an effect on its resistance.
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What is the longest wavelength λ of light that will provide photons of sufficient energy to break the π bond and cause the isomerization?.
The longest wavelength that is required to break the bond is 448 nm.
What is a pi bond?The term pi bond has to do with a multiple bond. In chemistry, there are basically two kinds of bonds which are the pi bond and the sigma bonds. The sigma bonds are the single bonds.
Actually, the sigma bond is stronger than the pi bond and the pi bond can be broken easily especially when the compound has been irradiated with a strong light of the appropriate wavelength. The energy that is required to break a pi bond is 4.42*10^-19 J. When this energy is supplied, the pi bond can be broken hence the wavelength that correspond to it is what we seek.
Given that;
E = hc/λ
E energy
h = Plank's constant
c = speed of light
λ = wavelength
We now have;
λ=hc/E
λ= 6.6 * 10^-34 * 3 * 10^8/4.42*10^-19 J
= 4.48 * 10^-7 m or 448 nm
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please please help me i will give out brainliest
At which location could you obtain groundwater without having to use a pump? What is this location called?
I have to get it done right now
Answer:If a hole is dug into the ground deep enough that it reaches a confined aquifer, the pressure can be great enough to shoot water up the well without any help from a pump. Such a well is called a flowing artesian well
Explanation:
5 MAIN REASONS WHY PHYSICAL EDUCATION IS GOOD TO DO
Answer:
It Encourages Healthy Habits.
It Reduces Stress
It Encourages Prosocial Behavior
It Promotes Good Sleep.
It Helps Students Concentrate
hope it helps you
A golf ball moving forward with 1 unit of momentum strikes and bounces backward off a heavy bowling ball that is initially at rest and free to move. The bowling ball is set in motion with a momentum of.
A golf ball shifting ahead with 1 unit of momentum moves and bounces backward off a heavy bowling ball this is initially at relaxation and free to move. The bowling ball is ready in movement with a momentum of extra than 1 unit.
The bullet's mass is less than the gun's mass so the bullet's pace is greater than the gun's cringe speed. also, kinetic power is inversely proportional to mass. whilst a bullet is fired from a weapon, the weapon kicks within the opposite route. The motive for this is the pressure on the ball referred to as reaction.
Because the mass of the golf ball is greater than the mass of the bullet, the weapon recoils tons slower than the bullet's actions forward. A bowling ball this is desk-bound or transferred in a bowling alley does no gravitational work due to the fact gravity acts perpendicular to the surface. in step with Newton's third regulation of motion, each action has an equal and opposite reaction. when a gun fires a bullet it applies a force to the bullet that propels it forward.
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The weight of a sphere is proportional to its radius cubed. If a sphere of diameter has a mass of , what diameter sphere has a mass of ?.
The diameter is 16 cm.
To formulate the relationship between diameter and mass it is essential to know the relationship between mass volume, and density. Since mass m = density volume is directly proportional to the diameter. The relationship between mass and diameter is given by The weight of an object on earth is directly proportional to the mass of the earth and inversely proportional to the square of the radius of the earth.
We know that the center of mass lies on the axis of symmetry. Since a sphere is a single figure the center of mass is where one axis of symmetry intersects another. The relationship between the weight of an object and the radius of that object is that if the radius is greater then the force acting on the object is large and if the radius is small the force acting on the object is small.
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gravitation in words. An object weighing 140 N on the surface of the earth is moved to a position which is 6,7 × 10^6 m above the surface of the earth. 1.2 Calculate the percentage by which its weight will change.
An object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.
The percentage of Weight change =( 140-32.56) / 140 X100
= 76.74 %.
How do you calculate the gravitational force?An object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.The gravitational unit of force is the kilogram-force.An object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.F = force
G = gravitational constant
m_1 = mass of object 1
m_2 = mass of object 2
r = distance between centers of the masses
F =[tex]G \frac{ m_1 m_2}{r^2}[/tex]
F = 140N (object on the surface of the earth)
radius of the earth = 6 378.1 x 10^3 m
new distance = [tex]6.3781 x 10^6 + 6.7 x10^6. =13.07 x 10^6.[/tex]
F1/F2 =[tex](13.07 x10^6)^2/(6.3x10^6)^2[/tex].
F1/ F2 = 4.3
140 N /F2 = 4.3
F2 =140/ 4.3 = 32.56 N
The percentage of Weight change =( 140-32.56) / 140 X100
= 76.74 %.
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A moving walkway at the airport moves a 120Kg person 35m in 150s. How much power did this require?
The amount of power required to move the 120 Kg person to a distance of 35 m in 150 s is 274.4 W
How to determin the powerPower is simply defined as the rate at which work is done. It can be expressed mathematically as
Power (P) = work (W) / time (t)
But
Work = force (F) × distance (d)
Therefore,
P = Fd / t
With the above formula, we can obtain the power as follow:
Mass (m) = 120 KgDistance (d) = 35 mTime (t) = 150 sAcceleration due to gravity (g) = 9.8 m/s² Force (F) = mg = 120 × 9.8 = 1176 N Power (P) = ?P = Fd / t
P = (1176 × 35) / 150
P = 41160 / 150
P = 274.4 W
Thus, the power is 274.4 W
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Imagine you are riding on a school bus. Which two objects would appear to
be moving from your seat on the bus?
A. The seats on the bus
B. The street outside the bus
C. The clouds above the bus
D. The floor of the bus
Answer:
Explanation:
the street and the clouds
How do we know what parts make up the atom?
Atoms are discovered through a series of experiments, through each experiment different discoveries were made about atom which lead to the conclusion that atom is made up of particles.
What is an atom?An atom is the smallest unit which makes up of a molecule. An atom is made up of many subatomic particles such as proton, neutron, and electrons. An element is made up of same type of atoms.
Through a very long series of experiments, the structure of the atom was devised. Each one of the experiment was designed to look at a specific aspect of the atom. At early times, the atom was thought to be a solid ball of positive charge (protons) with electrons (negative charge) embedded in it. Then in 1909, Rutherford did an experiment through which he demonstrated that that picture of the atom was wrong and the positive charge was centered at the center of the atom in the nucleus and occupied a very small volume compared to the whole atom.
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