Answer:
[tex]1.78\:\mathrm{m}[/tex]
Explanation:
Kinematics equations used:
[tex]v_f=v_i+at,\\\\\Delta y = v_it+\frac{1}{2}at^2,\\\\v_f^2=v_i^2+2a\Delta x[/tex]
Other equations used:
[tex]\Delta x =v_i\cdot t,\\\text{-basic trigonometry for right triangles},\\\text{-application of physics concepts}[/tex]
By finding the horizontal component of the projectile's initial launch, we can find how long it will take for the projectile to reach the hill.
Since the projectile is launched at 12 m/s 30 degrees above the horizontal, we can use basic trig for a right triangle to find the horizontal component of the launch:
[tex]\cos 30^{\circ}=\frac{x}{12},\\x=12\cos 30^{\circ}\approx 10.3923048454\:\text{m/s}[/tex]
Now we can use [tex]\Delta x =v_x\cdot t[/tex] to find the time it will take to reach the hill:
[tex]7.5=10.3923048454\cdot t,\\t=\frac{7.5}{10.3923048454}\approx 0.72168783648\:\text{s}[/tex]
To find the total flight time the projectile would take if it were to land back to the same height it started out with, we can use the following kinematics equation:
[tex]v_f=v_i+at[/tex]
We'll use basic trig for a right triangle again to find the vertical component of the velocity at launch:
[tex]\sin 30^{\circ}=\frac{y}{12},\\y=12\sin 30^{\circ}=6\:\text{m/s}[/tex]. (recall [tex]\sin 30^{\circ}=\frac{1}{2}[/tex])
Now plugging this value in:
*Note: the projectile will hit the ground with a vertical velocity equal in magnitude but opposite in direction than the projectile's initial vertical velocity at launch
[tex]-6=6+(-9.8\cdot t),\\t=\frac{-12}{-9.8},\\t=1.22448979592\:\text{s}[/tex]
^This is the total flight time the projectile would take if it were to land back to the same height it started with. Since acceleration is constant, we can divide this time by two to find the time it would take to reach maximum height.
[tex]1.22448979592\div 2=0.61224489795\:\text{s}[/tex]
Thus, it will take [tex]0.61224489795\:\text{s}[/tex] to reach maximum height, meaning that it will take [tex]0.72168783648 - 0.61224489795=0.10944293853\:\text{s}[/tex] to land on the hill after reaching maximum height. Now that we've found this, we can use the following kinematics equation to find the vertical displacement from the projectile's max height to the hill:
[tex]\Delta y =v_it+\frac{1}{2}at^2[/tex]
At maximum height, the projectile's vertical velocity will be zero. Therefore, [tex]v_i=0[/tex] and we have:
[tex]\Delta y =\frac{1}{2}at^2[/tex]
Plugging in values , we have:
[tex]\Delta y =\frac{1}{2}\cdot 9.8\cdot 0.10944293853^2=0.05869100829\:\text{m}[/tex]
This means that the hill is [tex]0.05869100829\:\text{m}[/tex] lower than the max. height the object will reach.
To find the height of the hill from the ground, we will use the following kinematics equation:
[tex]v_f^2=v_i^2+2a\Delta x,\\-6^2=0+2\cdot-9.8\cdot\Delta x,\\36=-19.6\Delta x,\\\Delta x =\frac{36}{-19.6},\\\Delta x =-1.83673469388\:\text{m}[/tex]
Therefore, the max. height that the object will reach is [tex]1.83673469388\:\text{meters}[/tex].
Thus, the hill's height is [tex]1.83673469388-0.05869100829=1.77804368559\:\text{m}\approx\boxed{1.78\:\mathrm{m}}[/tex].
what characteristic describes what happens during a physical change
Question 19 of 30
A helium balloon's temperature is raised by 1°C. Will this cause its molecules to move faster or slower?
they will move at the same speed
faster
slower
heating of anything increases the kinetic energy of its molecules, so the molecules will move faster.
A helium balloon's temperature is raised by 1°C. This will cause molecules to move faster.
What is the temperature?The temperature has an impact on this average kinetic (motional) energy. Their average kinetic energy likewise rises when gas molecules warm up.
As a result, they travel more quickly and collide more frequently and violently inside the balloon. The temperature has an impact on the hot air balloon's internal pressure. The molecules move more quickly and forcefully against the interior wall of the balloon as they warm up.
A region of the balloon is subjected to more force due to the gas particles' greater velocity, which raises the pressure there.
Therefore, the temperature of a helium balloon is increased by 1°C. Molecules will move more quickly as a result.
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hi please answer and show your work
Answer:
[tex]\huge\boxed{\sf P.E. = 240\ MJ}[/tex]
[tex]\huge\boxed{\sf K.E. = 19.6\ MJ}[/tex]
Explanation:
Given:
Mass = m = 200,000 kg
Vertical Distance = h = 120 m
Speed = v = 14 m/s
Acceleration due to gravity = g = 10 m/s²
Required:
1) Gravitational Potential Energy = P.E = ?
2) Kinetic Energy = K.E. = ?
Formula:
1) P.E. = mgh
2) K.E. = [tex]\displaystyle \frac{1}{2} mv^2[/tex]
Solution:
1) P.E. = (200,000)(10)(120)
P.E. = 240,000,000 Joules
P.E. = 240 Mega Joules
P.E. = 240 MJ
2) K.E. = 1/2 (200000)(14)^2
K.E. = (100000)(196)
K.E. = 19,600,000 Joules
K.E. = 19.6 MJ
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807convert 40 HP into watt
Answer: 29828 watts
Explanation: hope that helped bro
Which is a valid ionic compound?
sodide chlorine
sodium chlorine
sodium chloride
sodide chloride
Answer:
sodium chloride
Explanation:
Sodium chloride is an ionic compound. The ions of the sodium chloride compound is sodium ion and chloride ion. The sodium ion is cation while the chloride ion is an anion. Sodium chloride is a very stable compound because of the mutual attraction of oppositely charged ions.
Study of the ___________
effect helped convince
scientists that light could behave as both a particle and a wave.
Answer: Photoelectric effect
Explanation:
Three 44-ohm resistors are connected in parallel with an ideal 12-volt battery. What is the equivalent resistance of the circuit?
Answer:
Explanation:
1/Rtotal = 1/r1 +1/r2 +1/r3
1/Rtotal = 1/44 + 1/44 + 1/44
1/Rtotal = 3 /44
1/Rtotal = 0.0681818182
1/0.0681818182 = Rtotal
14.66666666666666666 = Rtotal
14 [tex]\frac{2}{3}[/tex] ohms = Rtotal
Sarah is demolishing two clock towers, one on either side of the city. She sets up the explosives to go off at the same time when she sends the signal from the center of the city. She sends the signal and sees both clock towers blow up at the same time and sees both towers show 1pm exactly. Adam is flying past the earth traveling at a speed close to the speed of light as sees the building farthest away from him blow up first. Explain how Sarah can see them blow up at the same time, but Adam sees them blow up at different times.
Answer:
According to Lorentz transformation, the time observed of by objects moving in different reference frames are related to their velocity of motion and the speed of light
The time measured by Sarah who is located at the source of the signal and the center of the explosion is different from the time measured by Adam who is moving relative to Sarah and observes the signals moving at different speeds and therefore observes the buildings blow up not immediately but at different times
Explanation:
The time and space dilation equations are given as follows;
[tex]\Delta t = \dfrac{\Delta t'}{\sqrt{1 - \dfrac{v^2}{c^2} } }[/tex]
[tex]L = L' \times \sqrt{1 - \dfrac{v^2}{c^2} }[/tex]
Where;
Δt' = The time measured by Adam
Δt = The time measured by Sarah
L' = The distance measured by Adam
L= The distance measured by Sarah
v = The velocity at which Adam is moving
Let 'u' represent the speed of the signals
Given that Adam is traveling in between the two clock towers such that one signal is moving in the opposite direction towards him while the other signal moves in the his direction, by relativistic velocity addition, we have;
The velocity with which Adam observes the signal coming towards him, v' is given as follows;
v'' = (v + u)/(1 + v·u/c²)
∴ v'' > v
For the signal moving in the direction of Adam, we have;
v''' = (v - u)/(1 - v·u/c²)
v''' < v
Therefore, we have;
The time it takes the light to reach Adam from the furthest Tower which he passes as he is flies past Sarah in the middle, Δt'' is given as follows;
[tex]\Delta t'' = {\Delta t'} \times {\sqrt{1 - \dfrac{v''^2}{c^2} } }[/tex]
For the closer tower which Adam approaches, we have;
[tex]\Delta t''' = {\Delta t'} \times {\sqrt{1 - \dfrac{v'''^2}{c^2} } }[/tex]
Given that v'' > v''', therefore Δt'' < Δt''' and the time the light from the furthest building is seen first by Adam before the light from the closer building.
Item 3 A manufacturer makes lightbulbs and claims that their reliability is 98 percent. Reliability is defined to be the proportion of nondefective items that are produced over the long term. If the company's claim is correct, what is the expected number of nondefective lightbulbs in a random sample of 1,000 bulbs?
Answer:
980 is the expected number of nondefective lightbulbs in a random sampling of 1,000 bulbs
Explanation:
If the company claims is right, this is the task that should be done
Lightbulbs = 1,000 * 0.98 = 980
Therefore, 980 working bulbs is expected out of a sample of 1,000 lightbulbs
how does a thermo flask retain heat
Answer:
A thermo flask has a cork which prevents heat loss by conduction.
It also has vacuum which prevents heat loss by convection.
You've probably seen how the surface of a tire can partially melt and leave a mark on the road when a car's brakes are applied really hard. Explain why the surface of the tire melts.
Answer:
tire marks are due to the increase in thermal energy
Explanation:
When a tire is spinning at a given speed when the brakes are applied hard, the friction between the tire's particulate and the ground surface is high enough that some tire particles are transferred to the ground.
This is reflected in the heat transfer from the tire to the ground.
Consequently, tire marks are due to the increase in thermal energy and the change in the friction force of the tire.
Answer:
Going super fast and stopping abruptly causes friction which causes heat thus it melts the surface of the tire.
Explanation:
This is example answer for edmentum :)
Can somebody answer this science question NO LINKS !!!!
Answer:
position 1
Explanation:
in position 2 and three it would have less energy cause there is less force being exerted to give it that push, but at the end position and the first position there is going to be more force and energy behind the ball.
a wave has a frequency of 10Hz and a wavelength of 30 m. What's its velocity?
what are the advantages of having a roof with a lower thermal conductivity
Answer:
A thick layer of material with a low thermal conductivity reduces the rate of heat transfer from the ceiling into the roof space.
While working on a design for a new roller coaster, the designers noticed that the roller coaster cars did not have enough energy to complete the loop. How should they adjust the track so that the cars can complete the loop?
A. Decrease the height of the hill before the loop because that would decrease the kinetic energy of the cars.
B. Increase the height of the hill before the loop because that would decrease the kinetic energy of the cars.
C. Increase the height of the hill before the loop because that would increase the kinetic energy of the cars.
D. Decrease the height of the hill before the loop because that will increase the kinetic energy of the cars.
Answer: B
Explanation:
1. Nombrar mediante ITEMS las características que tiene el musculo de pescado y como se diferencian del musculo animal terrestre.
Answer:
Similitudes y diferencias entre los músculos de los peces y los de los animales terrestres.
Explicación:
Los músculos de los peces se diferencian del músculo de los animales terrestres porque los peces tienen músculos rojos, rosados y blancos. También tienen tejido muscular de pescado que se compone de músculo estriado al igual que el músculo de los animales terrestres. La mayor parte del tejido muscular de los peces es de color blanco, pero muchos peces también tienen una cierta cantidad de tejido oscuro de color marrón o rojizo. El músculo oscuro se encuentra justo debajo de la piel a lo largo del costado del cuerpo.
How would mass determine if an egg will crack or not and why?
14. The resistance of dry human skin is about 500,000 ohms and wet,
sweaty, human skin is about 1000 ohms. How much current passes across
someone's fingers if they touch the leads of a 9 Volt battery when their skin
is WET?
Answer:
current is equal to V/R
Explanation:
I = 9/1000A
[tex]9 \times 10 ^{ - 3} [/tex]
Describe different types of motion with examples. (4)
(b) difference between scalar and vector. (2)
(c) A car has a velocity of 10 ms-1
. It accelerates at 0.2 ms-2
for half minute. Find the distance
Answer:
a)
there r two types of motion, uniform and non-uniform
uniform means equal distance travelled at equal intervals of time
and non-uniform is exactly the opposite.
b)
quantities which can be represented by magnitude along r called scalar quantities such as speed.
quantities which need magnitude along with direction r called vector quantities such as velocity.
c)
velocity=10m/s
acceleration = u-v/s i.e initial final velocity - initial velocity upon time
acceleration= 0.2m/s sq
time= 30s
10 = displacement/time
10 = x/30
10 = 300
Answer is 300 meters - distance/displacement.
A tank has the shape of an inverted circular cone with height 16m and base radius 3m. The tank is filled with water to a height of 9m. Find the work required to empty the tank by pumping all of the water over the top of the tank. Use the fact that acceleration due to gravity is 9.8 m/sec2 and the density of water is 1000kg/m3. Round your answer to the nearest kilojoule.
Answer:
[tex]W=17085KJ[/tex]
Explanation:
From the question we are told that:
Height [tex]H=16m[/tex]
Radius [tex]R=3[/tex]
Height of water [tex]H_w=9m[/tex]
Gravity [tex]g=9.8m/s[/tex]
Density of water [tex]\rho=1000kg/m^3[/tex]
Generally the equation for Volume of water is mathematically given by
[tex]dv=\pi*r^2dy[/tex]
[tex]dv=\frac{\piR^2}{H^2}(H-y)^2dy[/tex]
Where
y is a random height taken to define dv
Generally the equation for Work done to pump water is mathematically given by
[tex]dw=(pdv)g (H-y)[/tex]
Substituting dv
[tex]dw=(p(=\frac{\piR^2}{H^2}(H-y)^2dy))g (H-y)[/tex]
[tex]dw=\frac{\rho*g*R^2}{H^2}(H-y)^3dy[/tex]
Therefore
[tex]W=\int dw[/tex]
[tex]W=\int(\frac{\rho*g*R^2}{H^2}(H-y)^3)dy[/tex]
[tex]W=\rho*g*R^2}{H^2}\int((H-y)^3)dy)[/tex]
[tex]W=\frac{1000*9.8*3.142*3^2}{9^2}[((9-y)^3)}^9_0[/tex]
[tex]W=3420.84*0.25[2401-65536][/tex]
[tex]W=17084965.5J[/tex]
[tex]W=17085KJ[/tex]
'
'
PLEASE HELP ASAP, WILL MARK BRAINLIEST!!!!
Answer:
it's yellowish orange (3)
Explanation:
A grapefruit has a pH of somewhere between 2.9-3.3 and it is quite acidic. The juice of a grapefruit can cause erosion of tooth enamel and cause damage to one's teeth if ate excessively
Do noble gases lose or gain electrons to get a full valence shell?
Which describes time dilation?
The faster an object moves, the more stretched time becomes.
The more slowly an object moves, the more stretched time becomes.
The faster an object moves, the more time it takes for light to travel a given distan
O The faster an object moves, the less time it takes for light to travel a given distanc
Answer:
A). The faster an object moves, the more stretched time becomes.
Explanation:
'Time dilation' is described as the 'slowing of the passage of time experienced by objects in motion relative to an observer that is measurable only at the relative speeds.' As per this particular relativity theory, the observer witnesses an elongated time with reference to the other setting. This reduction in speed of time(slowing down) becomes more clear and evident in the case of an object moving briskly near to the light's speed. Thus, option A is the correct answer.
Based on the model, which three factors might cause this change in the apparent movements of the stars? A. Earth's rotation on its axis B. Earth's revolution around the Sun C. The tilt of Earth's axis D. Earth's changing distance from the Sun
Answer:
I think it's A C and D sry if I'm wrong UwU
How are electrical charges similar to magnets?
Answer:
The two types of forces are related; a moving magnet can make electrical charges move, cause an electric current, and in turn cause magnetism. ... Objects that have the same charge, both positive or both negative, repel each other, and those with opposite charges attract each other.
Explanation:
Under what condition do the values of gravitational
force, and gravitational constant become same/
equal
Answer:
values of gravitational force and gravitational constant become same or equal when product of masses involved equals the square of distance between them
Explanation:
PLS PLS HELP FOR BRAINLIEST!!!!!!!!!!!!
Option A: The air molecule moves from the girl's mouth to the ear of her friend
Based on which principle does a circuit work?
Answer:
Under normal conditions – closed circuit – these contacts are touching each other, allowing the flow of electric current. These moving contacts are held together thanks to mechanical pressure exerted by another mechanism – a spring or compressed air
A tourist follows a passage that takes her 160 m west, then 180.m at an angle of 45.0∘ south of east, and finally 250 m at an angle 35.0∘ north of east. The total journey takes 12 minutes. (4)
a. Calculate the magnitude of her displacement from her original position.
b. She measures the distance she has walked to a precision of 5%. She times her total journey to ±20 s. (4)
(i) What is her average speed?
(ii) What is the absolute uncertainty on her absolute speed?
Answer:
a) R = 172.82 m, 5.3 north of east b) v = (0.24 ± 0.01) m / s
Explanation:
a) the displacement is a vector, so the easiest method to lock is looking for each component
let's start decomposing the vectors
x₁ = - 160 m
second shift
angle 45 south of east
cos (-45) = x₂ / d₂
sin (-45) = y₂ / d₂
x₂ = d₂ cos 45
y₂ = -d₂ sin 45
x₂ = 180 cos 45 = 127.28 m
y₂ = -180 sin 45 = - 127.28 m
third shift
cos 35 = x₃ / d₃
sin 35 = y₃ / d₃
x₃ = d₃ cos 35
y₃ = d₃ sin 35
x₃ = 250 cos 35 = 204.79 m
y₃ = 250 sin 35 = 143.39 m ₃
X axis
x_total = x₁ + x₂ + x₃
x_total = -160 +127.28 +204.79
x_total = 172.07 m
Y axis
y_total = y₁ + y₂ + y₃
y_total = 0 - 127.28 + 143.39
y_total = 16.11 m
to compose the displacement we use the Pythagorean theorem
R = [tex]\sqrt{x^2 +y^2}[/tex]
R = [tex]\sqrt{172.07^2 + 16.11^2 }[/tex]
R = 172.82 m
in angle is
tan θ = y_total / x_total
ten θ = 16.11 / 172.07 = 0.0936
θ = tan⁻¹ 0.0936
θ = 5.3
angle is 5.3 north of east
b) the error in the distance is 5%,
e% = ΔR/R 100
ΔR = e% R / 100
ΔR = 5 172.82 / 100
ΔR = 8.6 m
the time error Dt = 20 s
We calculate the speed and this we calculate the error
v = R / t
v = 172.82 / 12 60
v = 0.240027 m / s
the error in this magnitude is
Δv = [tex]\frac{dv}{dR} \ \Delta R + \frac{dv}{dt} \ \Delta t[/tex]
Δv = [tex]\frac{1}{t} \ \Delta R + \frac{R}{t^2 } \ \Delta t[/tex]
Δv = [tex]\frac{ 8.6}{720} + \frac{172.82 \ 20}{720^2 }[/tex]
Δv = 0.013 m / s
the measurement result is
v = (0.24 ± 0.01) m / s
How many atoms are in 2Mg3(PO4)2?
Answer:
13 atoms
Explanation:
Look at the subscripts.
“Mg₃” means that there are 3 magnesium atoms; “PO₄” means that there is 1 phosphorus atom and 4 oxygen atoms. But note that the PO₄ group has a subscript too: 2. This multiplies the atom count by 2, so you have 2 phosphorus atoms and 8 oxygen atoms.
3 + 2 + 8 = 13
(hope this helps can i plz have brainlist :D hehe)
There are total 26 atoms in 2Mg₃(PO₄)₂ compound. in one Mg₃(PO₄)₂, there are 13 atoms. Therefore, in 2 Mg₃(PO₄)₂ units, there are 26 atoms in total.
What is chemical formula ?A chemical formula is used identify a compound and to indicate chemical composition. The molecular formula of a compound is written based on the chemical symbol of each constituent atoms and their numbers.
The number of the atoms of each elements are represented as subscripts for each elemental symbol. In the given compound Mg₃(PO₄)₂, one unit of the compound contain 3 Mg atoms, and 2 PO₄ units means 2 P and 8 oxygen atoms. Hence there are 13 atoms in one unit.
There are 2 such units of this compound. Therefore, the total number of atoms present in 2 units Mg₃(PO₄)₂ compound is 13×2 =26.
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