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A hiker travels 5.0 km north and then 2.5 km west What is the resultant displacement vector?
Answer: The resultant displacement vector is 5.6km
The resultant displacement vector of the hiker is equal to 5.6 km.
What is displacement?The distance can be described as the total length traveled by an object and is a scalar quantity with only magnitude. The distance should be always positive.
The displacement of an object can be described as the shortest length between two points. The displacement can be considered as a vector quantity with direction & magnitude. The displacement can be +ve, -ve, or zero and can be changed with time.
Given, a hiker moves 5.0 km along AB in the North and then 2.5 km west along BC.
The length (AC) is the resultant displacement that can be calculated by using Pythagoras' theorem:
AC² = AB² + BC²
AC² = (5.0)² + (2.5)²
AC² = 25 + 6.25
AC = 5.59 km ≈ 5.6 km
Therefore, the displacement of the hiker is 5.6 Km.
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An ant climbs at a steady speed up the side of its
anthill, which is inclined 30.0" from the vertical. Sketch
a free-body diagram for the ant.
Pleas help me it urgent !?
The weight of the ant is the force that acts on the anthill in the downward direction and at angle of 30° rom the vertical.
Given the following data:
Angle of inclination = 30.0°.What is a free-body diagram?In Science, a free-body diagram can be defined as a graphical illustration which is typically used to visualize moments, tension, and applied forces that are acting on an isolated or rigid body (object) while using arrows pointing in the direction of these forces.
In this scenario, the weight of the ant is the force that acts on the anthill in the downward direction and at angle of 30° rom the vertical.
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What can be proved from the given figure?
It prove that liquid pressure increases with depth
A very fast train starts running from the earth at a speed of 60 miles per hours . How many years will it take to reach Uranus without stopping anywhere?
Time:-
[tex]\\ \rm\hookrightarrow \dfrac{2.998\times 10^9}{96}[/tex]
[tex]\\ \rm\hookrightarrow 0.0312\times 10^9[/tex]
[tex]\\ \rm\hookrightarrow 3.12 \times 10^7hrs[/tex]
The person would have died before reaching Uranus .
How much force is needed to pull a spring with a spring constant of 20 N/m a distance of 25 cm?
What is the mass of a material whose temperature changes from -12°C to 80°C when 4,577 J heat energy is added to it if the specific heat capacity of the material
is 7.0 J/g°C? Give your answer to 2 decimal places.
[tex] \frac{4577}{7 \times (80 - ( - 12))} \\ \frac{4577}{7 \times92 } \\ \frac{4577}{644} \\ = 8.5g[/tex]
A box of spherical jawbreaker candies is 23 g and its volume is 32.3 cm3. If the average mass of a single jawbreaker is 0.94 g, what is the radius of a single jawbreaker
The radius of each jawbreaker is approximately 0.68 cm.
Volume of a sphere;v = 4 /3 πr³where
r = radius
Therefore,
23 g = 32.3 cm³
0.94 g = ?
cross multiply
volume of a single jawbreaker = 32.3 × 0.94 / 23 = 30.362 / 23 = 1.32 cm³
Therefore,
volume of each jawbreaker = 4 /3 πr³
1.32 = 4 / 3 × 3.14 × r³
r³ = 1.32 /4.18666666667
r³ = 0.31533683707
r = ∛0.31533683707
r = 0.680651651 = 0.68
Therefore, the radius of each jawbreaker is approximately 0.68 cm.
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9 А
3) A 5kg object is to be given an upward
acceleration of
of 0.3 m/s by a rope pulling
straight upward on it, what must be the
tension on the
the rope ?
Explanation:
9 А
3) A 5kg object is to be given an upward
acceleration of
of 0.3 m/s by a rope pulling
straight upward on it, what must be the
tension on the
the rope ?
17. Which one of the following temperatures is equal to 5°C?
OA. 278K
ОВ.0К
OC. 418
0D.465K
Answer:
A. 278K
Explanation:
I look it up it and I used a conversion chart
You are riding your bike at 5 mis. In order to avoid hitting a child that has
run into the street, you slam on your brakes and slow to a stop. It takes you
1.5 seconds to fully stop. What was your acceleration?
You are riding your bike at 5 m/s. In order to avoid hitting a child that has run into the street, you slam on your brakes and slow to a stop. It takes you 1.5 seconds to fully stop. Acceleration will be 3.33 [tex]m/s^{2}[/tex]
The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics. Kinematics equations are a set of equations that can derive an unknown aspect of a body’s motion if the other aspects are provided.
given
speed = 5 m/s
time = 1.5 seconds
using
v = u + at
0 = 5 + a ( 1.5 )
a = -5 / 1.5
= 3.33 [tex]m/s^{2}[/tex]
Acceleration will be 3.33 [tex]m/s^{2}[/tex]
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Question 20 Essay Worth 5 points)
What is the power rating of an LED light bulb if 0.50 A flow through it when connected to an 18 V battery?
Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of
significant digits to receive full credit
So, the power rating of that LED light bulb is 9 Watt.
IntroductionHi ! I will answer your question. This material is about electricity where You are instructed to calculate the rated power of a lamp. Always remember, the power required by the lamp must also be at least the same as the power from the mains so that the light is not too dim or the lamp does not explode.
Formulas UsedIn this question, the formula used is the formula for calculating power, which is the product of the voltage and current flowing. It can be seen mathematically as below:
[tex] \boxed{\sf{\bold{P = V \times I}}} [/tex] Or
[tex] \boxed{\sf{\bold{P = \frac{V^2}{R}}}} [/tex]
With the following condition :
P = power that needed (Watt or W)V = voltage that used (Volt or V)I = current that flowed (Ampere or A)R = resistance in electric tools (Ohm or [tex] \sf{\varOmega} [/tex])Problem SolvingWe know that :
V = voltage that used = 18 VI = current that flowed = 0.50 AWhat was asked :
P = power that needed = ... WStep by step :
[tex] \sf{P = V \times I} [/tex]
[tex] \sf{P = 18 \times 0.5} [/tex]
[tex] \boxed{\sf{P = 9 \: Watt}} [/tex]
Conclusion :So, the power rating of that LED light bulb is 9 Watt.
who is a meterologist?
Answer:
A meteorologist is a scientist who studies weather Explanation:
A meterologist is a scientist who studies the weather condition of an environment.
WHO IS A METEROLOGIST?A meteorologist is a scientist that specifies in the act of understanding and forecasting the atmospheric condition or weather of the Earth surface.
The branch of science that studies weather is called meteorology and a meterologist uses several techniques and tools to explain weather.
Therefore, a meterologist is a scientist who studies the weather condition of an environment.
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what do you mean by escape speed at a place?
In celestial mechanics, escape velocity or escape speed is the minimum speed needed for a free, non-propelled object to escape from the gravitational influence of a primary body, thus reaching an infinite distance from it.
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How long does it take light to travel through a 5.20- mm -thick piece of window glass?
Through what thickness of water could light travel in the same amount of time?
Explanation:
Explanation: The speed of light in a vacuum is 3⋅108 m/s . We can now convert to a more appropriate symbol, such as the nanoseconds. So, it will take light approximately 333
200,000 kilometers per secondrefractive index of 1.5).
what is the valency of Sulphur!!
Explanation:
The sulphur atom has 6 electrons in the outermost shell, and its valency could be 6. But it is easier for sulphur to gain two electrons instead of losing six electrons. Hence, its valency is determined by subtracting six electrons from the octet and this gives a valency of two for sulphur.
In a Capacitor of 0.000031 F. a charge of 0.000022 C. exists between the plates.If the separation is 0.7 mm, What is the electric field?
Answer:
1014 V/m
Explanation:
C = 0.000031 F. Q = 0.000022 C, d = 0.7 mm,
V = Q/C = 0.000022/0.000031 = 0.7097 V
E = V/d = 0.7097/0.0007 = 1014 V/m
Select all statements that are true.
Sound waves travel faster in water than in air.
Sound waves travel faster in air than in water.
Sound waves travel fastest through solids.
Sound waves travel slowest through liquids.
which factor should a student include in a model to explain differences in temperature at earthed equator and earths poles?
Answer:
The uneven heating of Earth by the sun causes the climate to be warm and dry at the equator and cold and wet toward the poles. The angle of sunlight is different at different latitudes, which causes the climate to be warm at the equator and colder toward the poles.
Explanation:
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If the population of frogs decreased, then what would increase?
A
foxes
B
hawks
C
caterpillars
Answer:
my answer is letter b ithink
Brainliest if correct Question 2 of 10
What two types of energy does a rock have as it rolls down a hill?
O A. Sound energy
B. Potential energy
c. Nuclear energy
D. Kinetic energy
E. Magnetic energy
SUBMI
Answer:
b and d
Explanation:
mary jogs for 15 min at 240 m/min, walks the next 10 min at 90 m/min
Answer: 4500 m
Explanation:
[tex]15 min. * \frac{240 m}{min.} = 3600 m[/tex]
[tex]10 min. * \frac{90m }{min.} = 900 m[/tex]
[tex]3600m +900m = 4500m[/tex]
What type of wave squeezes together and
pulls apart?
A. longitudinal wave
B. transverse waves
C. seismic waves
D. electromagnetic waves
Answer:
B, longitudinal moves up and down, seismic also,l
A heavy liquid with a density 13 g/cm3
is
poured into a U-tube as shown in the lefthand figure below. The left-hand arm of the
tube has a cross-sectional area of 9.55 cm2
,
and the right-hand arm has a cross-sectional
area of 6.08 cm2
. A quantity of 90.8 g of a
light liquid with a density 0.86 g/cm3
is then
poured into the right-hand arm as shown in
the right-hand figure below.
h1
h2
9.55 cm2
6.08 cm2
heavy liquid
13 g/cm3
L
9.55 cm2
6.08 cm2
light liquid
0.86 g/cm3
Determine the height L of the light liquid
in the column in the right arm of the U-tube,
as shown in the second figure above.
Answer in units of cm.
Part 2
Find the pressure on the window.
Answer in units of N/m
Based on the data provided;
the height of the liquid, L is 17.2 cmthe pressure on the window is 1449.616 N/mWhat is the formula for density?The formula for calculating density is given as:
Density = mass/volumeFrom the formula above;
mass = density × volume
also, volume = area × height
Therefore,
mass = density × area × height
height = mass / (density × area)Calculating for the height of the liquid:
Height, L = 90.8 / (0.86 × 6.08)
L = 17.2 cm
What is pressure due to a liquid?The pressure due to a liquid is calculated using the formula below:
Pressure = hpgwhere;
h is height = 17.2 cm = 0.172 m
P is density = 0.86 g/cm^3 = 860 kg/m^3
g is acceleration due to gravity = 9.8 m/s^2
Pressure = 860 kg/m^3 × 0.172 m × 9.8 m/s^2
Pressure = 1449.616 N/m
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If a box that weighs 4.00 N slides across a flat rough table for a distance of 2.00 m then how much work does the weight of the box
do on the box?
A) 88.0 J
B) 456 J
C) 270 J
D) 513 J
E)zero
Answer:
0
Explanation:
Here it's given that the weight of the box is 4N and it slides across a rough table for a distance of 2m . And we are interested in finding out the work done by the weight of the block. Firstly we know that , Work done is ,
[tex]\rm\longrightarrow \pink{ Work\ = \ F.s = |F||s|cos\theta} [/tex]
where
[tex]\theta[/tex] is the angle between displacement and force .Therefore ,
[tex]\rm\longrightarrow Work = (4N)(2m)(cos\theta) [/tex]
Here the angle between the displacement and force is 90° , and value of cos90° is 0 , therefore,
[tex]\rm\longrightarrow Work = 8N-m (0)\\[/tex]
[tex]\rm\longrightarrow \underline{\boxed{\rm\blue{Work = 0 }}}[/tex]
The work done by the weight of the box is zero. The correct answer is zero. The correct option is (E).
Given:
Weight of the box = 4.00 N (acting downward)
Distance = 2.00 m
The angle between force and displacement, θ = 90°
Using the formula for work:
Work (W) = Force × Distance × cos(θ)
Since the angle θ is 90 degrees and cos(90 degrees) = 0.
The work done by the weight of the box is:
W = Force × Distance × cos(90)
W = 4.00 × 2.00 × 0
W = 0 J
Therefore, the work done by the weight of the box is zero. The correct option is (E).
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PLEASE HELP! WILL GIVE BRAINLIEST! A jet travels through air at 464.1 m/s. If the air has a temperature of 0 degrees C, at what Mach number is the jet flying?
Answer:
Mach 1.4
Explanation:
V = 331.5 + 0.6*0 = 331.5 m/s
464.1/331.5 = Mach 1.4
what is the meaning of energy
Answer:
Energy by definition is the property of matter that involves interactions with molecules, in order to perform an action.
Explanation:
They're many different types of energy, a few of them are...
. Thermal energy
. Solar energy
. Chemical energy
. Kinetic energy
. Potential energy
. Mechanical energy to name a few...
All of these specific energies involve the interaction of molecules which are used for different things and can be converted from one type of energy to another.
Hope this helps.
PLEASE HELP! Will give BRAINILIEST! An amplifier can magnify the intensity of sound waves by a factor of 1,000. If a 30dB sound is fed into the amplifier, how many decibels will come out?
Answer:
30,000dB
Explanation:
30,000dB because 30 multiplied by a factor of 1000 is 30,000
Hope this helps! :)
What is the most important reason that astronomers have learned more about our planetary system in the last 30-40 years than all of history before then.
A car starts from rest and speeds up to 30 m/s in a total of 6 s.
What is the acceleration?
ctive
5 m/s2
30 m/s
ker
24 m/s2
5 m/s
Answer:
5 m/s2
Explanation:
Using the equation velocity = initial velocity + (acceleration x time)
30 m/s = 0 + acceleration x 6 s
30 m/s = 6 s x acceleration
30 m/s / 6s = acceleration
acceleration = 5 m/s2