Answer:
C. is correct.
Explanation:
Hope this helps :)
The suggestion given by Hannah is not a well-supported and widely accepted explanation. So, option A is correct.
What is friction?Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such as the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion. Automobile engines use about 20% of their output to overcome frictional forces in moving parts.
The adhesion forces between the contact zones of the surfaces, which are always microscopically uneven, appear to be the primary cause of friction between metals. Shearing these "welded" joints and the action of the tougher surface's imperfections scrubbing against the softer surface cause friction.
According to the question, Hannah is driving the car up a hill and when she is not pressing the accelerator the car slows down. The reason behind this is that there is an ascent of height that the car has to climb with its engine power and if the accelerator is not applied to it then it will start to slow down also friction is a factor that is involved in this case.
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A 6.00 kg ornament is held at rest...
The magnitude of the tension T is = 60N
Calculation of magnitudeThe mass of the object held at rest = 6kg
The angle of the object at rest is = 30°
The magnitude of force F acting vertically downwards = 410N
Acceleration due to gravity= 10m/s²
The magnitude of tension T = ?
Using the formula; 2T sin(α) = m × g
make T the subject of formula,
T = m × g/ 2sin(α)
T = 6 × 10/ 2 sin (30)
T= 60/2 × 0.5
T = 60/1
T= 60N
Therefore, the magnitude of the tension T is = 60N
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A bag of flour contains 5.00 lbs of flour. you have 3.20 tons of flour. there are 2000lbs per ton how many bags of flour can you make?
If a bag of flour contains 5.00 lbs of flour. you have 3.20 tons of flour. there are 2000 lbs per ton, then there would be 1280 bags of flour that can be made.
What is multiplication?
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
As given in the problem, if a bag of flour contains 5.00 lbs of flour. you have 3.20 tons of flour. there are 2000lbs per ton,
The number of bags = 3.20*2000/5.00
=1280 bags
Thus, there would be 1280 bags of flour.
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Draw a diagram to show what happens to plane waves when they strike a flat reflector placed at 45° to their direction of travel.
Since the angle of incidence is 45° using the law of reflection we can conclude the reflective ray will also make an angle equal to the angle of incidence i.e. 45° with the normal.
What are the three laws of reflection?1)The angle between the incident ray and the normal is equal to the angle between the reflected ray and the normal.
2)The incident ray, the normal and the reflected ray are all in the same plane.
3) Incident ray and refracted ray are on different sides of the normal.
Given:
Light rays strike at an angle of 45° to the plane.
Using the law of reflection we can easily draw the reflective wave.
Important terms:
Angle of incidence - it is the angle at which the light way strikes the plane mirror.
Angle of reflection- it is the angle at which the light way is reflected back by the plane mirror.
Now since the angle of incidence is 45° using the law of reflection we can conclude the reflective ray will also make 45° with the normal.
Hence the angle of incidence is 45° and also the angle of reflection is equal to the angle of incidence i.e.45°.
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A 1-kg mass and a 4-kg mass are connected by a (massless) rod that is 2 meters long. where is the center of mass of the system?
The center of mass is located at 1.6 meters from 1 kg mass.
We need to know about the center of mass to solve this problem. The center of mass is the point where total torque is zero. It can be determined by
X = ∑mi.Xi / ∑mi
where m is mass and X is coordinate on the x-axis.
From the question above, we know that
m1 = 1 kg
m2 = 4 kg
L = 2 m
Assume that zero point is from m1. Hence,
X = ∑mi.Xi / ∑mi
X = ( m1 . X1 + m2 . X2 ) / (m1 + m2)
X = ( 1 . 0 + 4 . 2 ) / (1 + 4)
X = 8 / 5
X = 1.6 meters
Hence, the center of mass is located at 1.6 meters from 1 kg mass.
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An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled?.
The gas temperature change if the volume is halved and the pressure is tripled by factor 6.
What is an ideal gas?An ideal gas is theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept is useful because it obeys ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics.
Considering combined law equation:
Temperature increases by factor of 6.
Gay-Lussac's Law
Gay-Lussac's Law indicates that, as long as volume of the container containing the gas is constant, as the temperature increases, the gas molecules move faster. Then number of shocks against the walls increases, that is, the pressure increases. That is, gas pressure is directly proportional to its temperature.
In summary, when there is constant volume, as the temperature increases, the gas pressure increases. And when temperature decreases, gas pressure decreases.
Gay-Lussac's law can be expressed as mathematically as follows:
where:
P= pressure
T= temperature
k= Constant
Boyle's Law
Pressure and volume are related by Boyle's law, which says that volume occupied by a given mass of gas at constant temperature is inversely proportional to pressure.
Boyle's law is expressed mathematically as follows:
P× V=k
where:
P= pressure
V= volume
k= Constant
Charles's Law
Finally, Charles's Law consists of the relationship that exists between the volume and the temperature of certain amount of ideal gas, which is maintained at a constant pressure.
This law says that for given sum of gas at constant pressure, as the temperature increases, the volume of the gas increases and as the temperature decreases, the volume of the gas decreases. That is, volume is directly proportional to the temperature of the gas.
In summary, Charles' law is a law that says that when amount of gas and pressure are kept constant, the ratio between volume and temperature will always have the same value:
where:
V= volume
T= temperature
k= Constant
Combined law equation
Combined law equation is combination of three gas laws called Boyle's, Charlie's and Gay-Lussac's law:
Studying the two different states, an initial state 1 and an final state 2, the following will be true:
In this case, you know that:
Volume is double: V2= 2×V1
Pressure is tripled: P2= 3×P1
So, replacing in combined law equation:
Solving:
T2= 6×T1
Finally, temperature increases by a factor of 6.
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To polish leather shoes, people use shoe polish. What does this tell you about the surface of leather?
Answer: Polish creates a thin layer of wax on the surface of the leather which protects the leather from getting wet and undergoing wear and tear. It also has a lubricating effect on the leather keeping it supple and preventing the leather from drying out and cracking
The temperature of 21.6 g of a metal rises by 6.04 o c when the metal receives 60.0 j of heat. what is the identity of the metal?
The temperature of 21.6 g of a metal rises by 6.04 o c when the metal receives 60.0 j of heat , the identity of the metal is 0.46J/gC.
The amount of heat energy needed to raise a substance's temperature by one degree Celsius per unit mass of that substance is known as its specific heat.
The amount of energy required to raise or lower a substance's temperature by 1 unit of 1 kg of material is its specific heat capacity.
Specific heat and specific heat capacity are measured in SI units of J/Kg.
Mass of the metal = m =2.16g
the temperature of metal =ΔT=6.04C
Energy of metal = Q= 60.0J
c∝Q/ΔT
c=q/mΔT
c=60.0J/(21.6g)(6.04)
c=60.0J/130.464g.C
c=0.459896J/g.C
Hence the specific heat capacity is 0.46J/gC.
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The amplifier in a battery-powered device is being designed to deliver 50 mw to a set of headphones. the impedance of the headphones can be chosen to be?
The impedance of the headphones can be chosen to be 32 ohms impedance.
Z = V/I
What is impedance?The perceived resistance to the flow of an alternating current in an electrical circuit, which is comparable to the real electrical resistance to a direct current and which equals the ratio of effective electromotive force to effective current.
The magnitude of the impedance Z of a circuit is equal to the maximum value of the potential difference, and voltage, V (volts) across the circuit, divided by the maximum value of a current I (amperes) through the circuit, or simply Z = V/I. The unit of impedance, such that of resistance, is the ohm.
Case 1 :
I²R = 2P
p = 50nW
R = 8 ohm
so, on solving,
V = 0.89442 V
Case 2 :
I²R = 2P
p = 50nW
R = 32 ohm
so, on solving,
V = 1.788 V
Case 3 :
I²R = 2P
p = 50nW
R = 1000 ohm
so, on solving,
V = 10 V
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What is the symbol, atomic number, # of protons, # of electrons, atomic mass, rounded atomic mass, # of neutrons (show work), and period of: sodium
The properties of Sodium are as follows:
symbol = Naatomic number = 11number of protons = 11number of electrons = 11atomic mass = 22.989769 urounded atomic mass = 23 amunumber of neutrons = 12period: period 3What are elements?Elements are defined as any substance which cannot be split into simpler units aby a ordinary chemical process.
Elements are classified into metal, non-metals and metalloids.
Sodium one of the known 118 elements.
In the period table, sodium has the following properties:
symbol = Naatomic number = 11number of protons = 11number of electrons = 11atomic mass = 22.989769 urounded atomic mass = 23 amunumber of neutrons = 12period: period 3In conclusion, sodium is an element in the periodic table.
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When a medication alters the velocity of the conduction of electricity through the heart, it is said to have a(n) _____________ effect.
When a medication alters the velocity of the conduction of electricity through the heart, it is said to have a Dromotropic effect.
The word 'dromotropic' originates from the Greek word 'dromos' which means 'race' or 'running'. Dromotropic drugs are cardiac drugs that alter the conducting tissues of the heart, thereby affecting the velocity of the conduction of electricity through the heart.
Dromotropic drugs are given to patients in order to improve heart impulses. They alter the conducting tissues of the heart by changing the travelling speed of the SA node to the AV node.
Dromotropic drugs can either be negative or positive. Negative dromotropic drugs decrease the velocity of the conduction of electricity through the heart, while positive dromotropic drugs increase the velocity of the conduction of electricity through the heart.
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An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled?.
Considering the combined law equation the temperature increases by a factor of 1.5.
Gay-Lussac's Law
According to Gay-Law, Lussac's the gas molecules move more quickly as the temperature rises as long as the volume of the container holding the gas remains constant. The pressure then rises as a result of an increase in the number of shocks striking the walls. In other words, the relationship between a gas's pressure and temperature is direct.
In conclusion, when the volume remains constant, the pressure of the gas increases as the temperature rises. Additionally, gas pressure falls as temperature drops.
Gay-law Lussac's has the following mathematical formulation p/T =k so 3 P / T= 1/2 = 3/2 =1.5 =T
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A net force of 16 Newtons is acting on a mass of 50 kg. What is the acceleration of the object?
Hating someone
and dreads this meeting. What type of interference is this?
A decay
B. transient
C. motivated
D. retroactive
Answer:
Is this psychology or something?
When the voltage applied at the drain terminal is small, the mosfet channel behaves like a:___.
When the voltage applied at the drain terminal is small, the mosfet channel behaves like a Current controlled voltage source.
An active load is created when the drain and gate of a MOSFET are coupled together, creating a two-terminal device known as a "diode-connected transistor." An active load is created when the drain and gate of a MOSFET are coupled together, creating a two-terminal device known as a "diode-connected transistor." The drain-source (or source-drain) connection of the MOSFET can be made open or connected by adjusting the charge distribution between the gate and body. Both NMOS and PMOS transistors function as switches in this way, but the specifics of the operation vary between the two types.
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How do transform faults provide information about the direction of plate motion?
A) Transform faults have a direction that is perpendicular to plate motion.
How can the directions of plate movements be determined using transform faults?Consider the double line in the transform fault diagram to be the boundary of two diverging plates and consider which direction the diverging plates would be travelling.
Fewer transform faults rip across the lithosphere of the continent. The San Andreas Fault Zone in western North America is the most well-known illustration of this.
How would you describe the transform fault boundary’s motion direction?Occasionally referred to as a strike-slip boundary, a transform fault or transform boundary is a fault along a plate boundary where the motion.
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Represent each of the following as a number between 0.1 and 1000 using an appropriate prefix:_________
(a) 45 320 kn, (b) 568(105) mm, and (c) 0.00563 mg.
45320 kN can be represented as 45.32×10³ kilo Newtons,568 mm can be represented as 0.568 meters and 0.00563 mg can be represented as 5.63×10³ micrograms.
What is a unit of measurement?A unit of measurement is a recognized and accepted standard for calculating other amounts of the same kind. It has already been decided by law or convention.
As stated in the issue, Use the proper prefix to represent each of the following as a number between 0.1 and 1000:
In this way, 45.32103-kilo Newtons, 0.568 meters, and 0.00563 mg may all be represented as 5.63103 micrograms, 45.32103-kilo Newtons, and 45.32103-kilo Newtons, respectively.
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please help!
will give branliest
A 16.0 mh inductor is connected across an ac generator that produces a peak voltage of 9.40 v. what is the peak current through the inductor if the emf frequency is 100 hz?
By using inductive reactance, the current is 0.93 A.
We need to know about inductive reactance to solve this problem. The inductive reactance is the internal resistance in the inductor caused by changing current. It can be described as
XL = ω . L
where XL is inductive reactance, ω is angular speed and L is inductance.
The angular speed can be determined by
ω = 2π . f
where f is frequency.
From the question above, we know that
f = 100 Hz
L = 16 mH = 16 x 10¯³ H
V = 9.4 V
By substituting the given parameters, we get
XL = ω . L
XL = 2π . f . L
XL = 2π . 100 . 16 x 10¯³
XL = 10.06 Ω
Find the peak current
V = I . XL
9.4 = I . 10.06
I = 0.93 A
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The percentage of fe in an iron ii sample was determined by redox titration with cr2o7 calculate the molarity of the standard k2cr207
The molarity is 0.018M and the percentage is 8.46%.
Net ionic reaction is
[tex]$\mathrm{Cr} 2 \mathrm{O}^{2-}+6 \mathrm{Fe}^{2+}+14 \mathrm{H}^{+} \rightarrow 6 \mathrm{Fe}^{3+}+2 \mathrm{Cr}^{3+}+7 \mathrm{H} 2 \mathrm{O}$[/tex]
[tex]$1 \mathrm{~mol}$[/tex] of [tex]$\mathrm{Cr} 2 \mathrm{O} 7(-2)$[/tex] reacts with [tex]$6 \mathrm{~mol}$[/tex]of [tex]$\mathrm{Fe}(2+)$[/tex] to form [tex]$6 \mathrm{~mol}$[/tex]of [tex]$\mathrm{Fe}(3+)$[/tex] and [tex]$2 \mathrm{~mol}$[/tex] of [tex]$\mathrm{Cr}(3+)$[/tex]
Find molarity of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex]
Molarity = moles of[tex]$\mathrm{K} 2 \mathrm{Cr} 207 /$[/tex] Volume of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7(\mathrm{~L}$[/tex] )
Moles of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex] = grams of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7 /$[/tex] molar mass of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex]
[tex]$=1.2275 \mathrm{~g} / 294.19 \mathrm{~mol}=0.0042 \mathrm{~g} / \mathrm{mol}$[/tex]
Molarity of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7=$[/tex] moles of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex]/ Volume of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7$[/tex](L)
[tex]$=0.0042 \mathrm{~g} / \mathrm{mol} / 0.250 \mathrm{~L}=0.017 \mathrm{M}$[/tex]
Find molarity of [tex]$\mathrm{Fe}$[/tex] (II)
Molarity of [tex]$\mathrm{Fe}(\mathrm{II})=6 \times$[/tex]molarity of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7 \times$[/tex]volume of [tex]$\mathrm{K} 2 \mathrm{Cr} 2 \mathrm{O} 7 /$[/tex]volume of [tex]$\mathrm{Fe}$[/tex] (II)
[tex]$=6 \times 0.017 \mathrm{M} \times 0.03598 \mathrm{~L} / 0.200 \mathrm{~L}$[/tex]
[tex]$=0.018 \mathrm{M}$[/tex]
Find moles of [tex]$\mathrm{Fe}(\mathrm{II})$[/tex]
Moles of [tex]\mathrm{Fe}($ II) =[/tex]molarity of [tex]$\mathrm{Fe}$[/tex] (II) [tex]$\times$[/tex] volume of [tex]$\mathrm{Fe}$[/tex] (II)
[tex]=0.018 \mathrm{M} \times 0.200 \mathrm{~L}=0.004 \mathrm{~mol}[/tex]
Find mass of Fe(II)
Mass of [tex]\mathrm{Fe}( II )=[/tex] moles of [tex]\mathrm{Fe}( II[/tex]) [tex]\times[/tex] molar mass of [tex]$\mathrm{Fe}(\mathrm{II})$[/tex]
[tex]$=0.004 \mathrm{~mol} \times 55.85 \mathrm{~g} / \mathrm{mol}$[/tex]
[tex]$=0.205 \mathrm{~g}$[/tex]
Find [tex]$\% \mathrm{Fe}(\mathrm{II})$[/tex] in unknown sample
[tex]$$\begin{aligned}\% \mathrm{Fe} &=(\text { mass of } \mathrm{Fe} / \text { weight of unknown sample }) \times 100 \\&=(0.205 \mathrm{~g} / 2.4234 \mathrm{~g}) \times 100 \\&=8.46 \%\end{aligned}$$[/tex]
Molarity is the concentration of a solution expressed as the number of moles of solute dissolved in each liter of solution.concentration is the amount of a substance per defined space. Concentration usually is expressed in terms of mass per unit volume.To know more about MOLARITY visit : https://brainly.com/question/8732513
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A car accelerates at 1.25 m/s² for 20 seconds. What is its change in velocity?
Answer:
25 m/s
Explanation:
1.25*20=25
The car acceleration at the rate of 1.25 m/s² in the time period of 20 seconds, then the change in velocity will be equal to 25 m/s.
What is acceleration?Acceleration is the speed of change in both speed and distance of velocity over time. Anything is said to be propelled when it goes quickly or slowly in a straight line. So because direction is always moving, motion on a circle accelerate even while the speed is increased. Both effects add to, the accelerated for all other types of motion.
It is a vector field because accelerating has both a direction and magnitude. Another vector quantity is velocity. The velocity vector change during a certain period of time, divided by that period of time, is the definition of acceleration.
The given data according to the question is,
Acceleration, a = 1.25 m/s² and,
Time, t = 20 s
Velocity, v = 1.25 × 20
v = 25 m/s.
Therefore, the change in velocity will be equal to 25 m/s.
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A bottle of wine contains 11.0thanol by volume. the density of ethanol () is 0.789 . calculate the concentration of ethanol in wine in terms of mass percent and molality.
Mass % of ethanol : 8.885
molality of ethanol : 2.12m
Given:
Wine = 11 % ethanol by volume
density of ethanal = 0.789 g/cm3
density of water = 1 g/cm3
let 100 cm3 wine → 11.0 [tex]cm^3[/tex] ethanol, 89.0 [tex]cm^3[/tex] water.
Mass of ethanol = d x V = 0 789 g/cm3 x 11 cm3 = 8.679 cm3
Mass of water = d x Y = 1.000 g/cm3 x 89 cm3) = 89.00 cm3
Total mass of 100 cm3 wine = 8.679+89 = 97.679 cm3
Mass for % of ethanol = 8: 674 X100 = 8.8857 %
Molar mass of ethanol = 46 g/mole
Moles of ethanol = 8.679/46 = 0.1887 mole
Molality of ethanol = 0.1887/0.089 = 2.12 m
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One of the statement is the function of electroscope.
a) charging the objects
b) determining the charge
c) creating the charge
d) discharging the object
Help please!
Answer:
Determining the charge. Electroscopes like we all know are used to detect or determine the charge present in an atom.
Conducting a walking experiment, you walked 10 m in 5.7 s. what is your walking speed
My walking speed is 1.75 m.
What is speed?Speed can be defined as the ratio of distance to time.
To calculate the walking speed, we use the formula below.
Formula:
S = d/t........................... Equation 1Where:
S = Walking speedd = Total distancet = TimeFrom the question,
d = 10 mt = 5.7sSubstiotute these values into equation 1
S = 10/5.7S = 1.75 m/sHence, my walking speed is 1.75 m.
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A drag racer starts her car from rest and accelerates at 10.0 m/s2 for the entire distance of 400 m .how long did it take the race car to travel this distance in s? answer key
To travel a distance of 400 m the car will take a time of: 8.944 s
The formulas and procedures we will use to solve this exercise are:
vf = √ (vi² + 2 * a * x)t = (2 * x)/ (vi + vf)Where:
vf = final velocityx = distancet = timevi = initial velocitya = accelerationInformation about the problem:
vi = 0 m/sa = 10.0 m/s²x = 400 mvf =?t = ?Applying the final velocity formula we have:
vf = √ (vi² + 2 * a * x)
vf = √ ((0 m/s)² + 2 * 10.0 m/s² * 400 m)
vf = √ (0 m²/s² + 8000 m²/s²)
vf = √(8000 m²/s²)
vf = 89.44 m/s
Applying the time formula we have:
t = (2 * x)/ (vi + vf)
t = (2 * 400 m)/ (0 m/s + 89.44 m/s)
t = 800 m / 89.44 m/s
t = 8.944 s
What is acceleration?It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2
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Infer the importance of publishing the results of scientific testing
and analysis.
Publishers have the duty of supplying a platform for the exchange of medical data, whilst at the identical time, it's miles the duty of the authors, analysis magazine editors, and peer reviewers to ensure that the posted manuscripts are accurate.
It is through publication that the research, inclusive of their scientific and sensible contributions, is disseminated to others on a particular subject. This makes medical researchers and practitioners with comparable pastimes aware of the latest expertise in their field and it facilitates advanced know-how and its utility. at the same time as many editors and peer reviewers expect that studies posted in their journals have to be probably reproducible, there are no set methods to empirically check whether a finding may be independently reproduced.
A chief supply of irreproducibility additionally testing consists of widespread systematic blunders, that can arise while scientists are engaged in the experiments or all through statistical analyses Goodman et al 2016. Systematic errors can occur for a ramification of reasons, such as loss of medical talent two people acting in the same experiment may not have the same level of revel in or variability in issue populations or reagents Capes‐Davis & Neve, 2016. similarly, whilst a researcher has an insufficient statistical understanding or there are honest flaws inside the experimental layout and statistical output, the mistakes generated might inappropriately have an effect on the translation of the results Baker, 2016 Steen Casadevall, Fang 2013.
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Write a sequence of mov instructions that will exchange the upper and lower words in a doubleword variable named three. (three = 12345678h three = 56781234h)
The MOV instruction for double word variable three is
mov ax, word ptr three
mov bx, word ptr three+2
mov three, bx
mov word ptr three+2, ax
What is the sequence for the doubleword variable named three (three = 12345678h)?
; initialize DWORD three
three DWORD 12345678h
; move the lower word (5678h) to ax
MOV ax, WORD PTR three
; move the upper word (1234h) to bx
MOV bx, WORD PTR[three + 2]
; move bx to lower word of three
MOV WORD PTR three, bx
; move ax to upper word of three
MOV WORD PTR[three + 2], ax
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What forces are acting on the climber?
226 ra decays into 222rn plus an alpha particle. how much energy is released in this process?
In the process of Alpha decay 226 radium decays into 222 radon plus an alpha particle. In this process the energy released is about 4.6 Mev.
What is Alpha decay?Alpha decay is a type of radio-active decay.Alpha decay is a nuclear decay process in which an unstable nucleus will get changes to another element by eliminating out a particle which is composed of two protons and two neutrons. The ejected particle is known as an alpha particle and is simply a helium nucleus.Alpha particles have a relatively large mass and a positive charge.For example, In the process of Alpha decay 226 radium decays into 222 radon plus an alpha particle. In this process the energy released is about 4.6 Mev.
The number of protons of ra is 88 will be reduced to 86 and the number of neutrons of rn is 38 will be reduced to 36.
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2m east, then 3m north, then 4m west
What the total distance travelled and the net displacement?
The net displacement is obtained to be 3.6 m.
What is the net displacement?We know that distance is a scalar quantity and displacement is a vector quantity. Based on this fact, a scalar has a magnitude but lacks direction while vector has both magnitude and direction.
We know that the total distance could be obtained algebraically since distance is a scalar quantity hence we have the total distance as; 2 m + 3m + 4m = 9 m
The net displacement must be obtained geometrically;
Horizontal component of displacement = 4 m - 2m = 2m
Vertical component of displacement = 3m
Net displacement = √2^2 + 3^2
= 3.6 m
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You are trying to find out how high you have
to pitch a water balloon in order for it to burst
when it hits the ground. You discover that
the balloon bursts when you have pitched it
to a height of 13 m.
With what velocity did the balloon hit
the ground? The acceleration of gravity is
9.8 m/s. The positive direction is up, so the
velocity when it hits is negative.
Answer in units of m/s.
The velocity of the body is 15.96 m/s.
With what velocity does it hit the ground?
We know that equations of kinematics could be used to obtain the velocity with which the pitcher would hit the ground. In this case we have the following;
Height of the ball = 13 m
Acceleration due to gravity = 9.8 m/s
Using;
v^2 = u^2 + 2gh
v = final velocity
u = initial velocity
g = acceleration due to gravity
h = height
u = 0 m/s since it was dropped from a height
v^2 = 2gh
v = √2 * 9.8 * 13
v = 15.96 m/s
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