This is a classic case of 'velocity components.'
Imagine a vector for velocity. Now, consider that this vector could be the hypotenuse of a right triangle, with two other sides going along the x and y-axis. These sides of the triangle will have values, and adding them up using the pythagorean theorem will prove that the sum of their squares equals the square of the original vector.
Well, okay, that's nice and all, you may be saying - but how do we solve the actual question?
Let's apply this thought to the question. This vector can have both an x component and y component (essentially, parts of the vector that travel along the x and y-axis).
Now, what could these components be? We know that the stone is thrown perfectly horizontally, meaning that the x-component is quite literally the velocity.
How about the y-component? Since it's thrown at a perfect horizontal, there isn't really any vertical velocity whatsoever. There's only horizontal velocity.
"Great, fantastic! So, what's the importance of figuring out the horizontal and vertical velocities?"
When a stone is in free fall, it experiences a gravitational acceleration. This acceleration from gravity, though, only affects the vertical velocity. Since gravity is vertical as well, it's essentially impossible for the horizontal velocity to be changed at all.
This means that to solve the horizontal distance, we simply need to find the time it takes for the rock to hit the ground and multiply said time by the horizontal velocity.
Since the vertical velocity is the only thing changed by gravity, we can write out an equation that can solve for the time:
∆Y = [tex]v_{i}[/tex]t + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
We know that initial vertical velocity is zero, so:
∆Y = [tex]v_{i}[/tex]t + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
∆Y = 0t + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
∆Y = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
We need to solve for t, so let's isolate the variable. Multiply both sides by 2 to get rid of the fraction:
∆Y * 2 = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex] * 2
2∆Y = g[tex]t^{2}[/tex]
Divide both sides by g:
(2∆Y)/g = [tex]\frac{gt^{2} }{g}[/tex]
Square root both sides:
[tex]\sqrt{(2Y)/g}[/tex] = [tex]\sqrt{t^{2} }[/tex]
t = [tex]\sqrt{(2Y)/g}[/tex]
Input our values for Y and g (Y is the height of the cliff, and g is gravitational acceleration):
t = [tex]\sqrt{(2*50)/9.80}[/tex]
Solve:
t = [tex]\sqrt{(2*50)/9.80}[/tex]
t = 3.194 (s)
Whew! That was a lot of steps to find the time! Now that we have the time, we can find the horizontal distance the rock travels:
∆x = [tex]v_{i}[/tex]t + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]
The horizontal velocity has no acceleration (gravity is vertical!), so:
∆x = [tex]v_{i}[/tex]t + [tex]\frac{1}{2}[/tex]*0*[tex]t^{2}[/tex]
∆x = [tex]v_{i}[/tex]t
The horizontal velocity is 15 m/s, and the time is 3.194:
∆x = [tex]v_{i}[/tex]t
∆x = 15 * 3.194
∆x = 47.91 (m)
Since we rounded the time, it makes sense that our final answer's a little bit off to the options. The closest one is option B, which is only 0.6m off, a tiny difference that may have come from the test maker's use of '10 m/[tex]s^{2}[/tex]' as the gravitational acceleration (while we stayed as accurate as possible with 9.80) as well as our rounding of the final time.
Option B, the stone will have travelled 47.85 meters.
If you have any questions on how I got to the answer or if you're still confused on any topic I attempted to explain, just ask in the comments and I'll try to answer it to the best of my ability! Good luck!
- breezyツ
Which of the following is a learned behavior of a cat
A. Meowing
B. Drinking water
C. Purring when happy
D. Using a litter box
In the Sun, fusion reactions create helium nuclei. To form each helium nucleus, four hydrogen nuclei fuse. The four hydrogen nuclei have a greater total mass than the newly formed helium nucleus. Which statement explains this difference in mass?
Answer:
the mass deficit is directly proportional to bond reeling
Explanation:
The effect of the mass deficit in the nuclei is
δ = m_nucleons - m_nucleo
the delta quantity is the binding energy of the atomic nucleus,
This mass is related to energy by the Einstein relation
ΔE = c² Δm
therefore the mass deficit is directly proportional to bond reeling
Answer:
C. Some of the mass of the four hydrogen nuclei was converted into
energy
Explanation:
Ap3x
A van de Graaff generator accelerates electrons so that they have energies equivalent to that attained by falling through a potential difference if 150mV
Answer:
Hello your question is incomplete hence I will give you a general answer on how A van de Graaff generator works
answer :
If the electrons falls through a PD of 150mV the electron will gain energy of 150MeV
Explanation:
when a Van de Graff generator is used to accelerate an electron through a PD ( potential difference ) of any value the particle ( electron ) the electron will gain energy ( eV ) which is is equivalent in value of the PD it accelerated through
hence if the electrons falls through a PD of 150mV the electron will gain energy of 150MeV
please help lol- brainlist to whomever- P.S---> Do it all please, and don't get any wrong. Then you get brainiist.
Glass: inorganic
Water: inorganic
Sugar: organic
Salt: depends what type of salt it is but most likely inorganic
Olive Oil: organic
What are the first three harmonics of a note produced on a 0.31 m long violin string if the waves on this string have a speed of 274.4 M/s
Answer:
442 Hz, 882 Hz, 1330 Hz
Explanation:
Given data: length of the string= 0.31 m = 31 cm
speed of the waves = 274.4 M/s or 2740 cm/s
Wavelengths are
62 cm
31 cm and
62 / 3 = 20.67 cm
The frequencies associated with these wavelengths ( which are the 1st, 2nd and 3rd harmonics )
are
27440/ 62 = 442.6 = 442 Hz
27440/31 = 885.2 = 882 Hz
27440 / 20.67 = 1328 = 1330 Hz
Which of the following best describes the relationship between frequency and wavelength of electromagnetic waves?
a
b
If the frequency remains constant, the wavelength increases.
The wavelength decreases as the frequency decreases.
The frequency increases as the wavelength decreases.
If the wavelength remains constant, the frequency increases.
С
d
Answer:
The option that best describes the relationship between frequency and wavelength of electromagnetic waves is the third option
c. The frequency increases as the wavelength decreases
Explanation:
The frequency of an electromagnetic wave, 'f', is given by the following formula;
[tex]Frequency, \, f = \dfrac{Wave \ Speed,v }{Wavelength, \ \lambda}[/tex]
From the above formula, the frequency of an electromagnetic wave is inversely proportional to the wavelength, and therefore, a higher frequency, ('f', to increase), requires a lower wavelength, (λ, decreases)
The correct option is that the frequency of an electromagnetic increases as the wavelength of the wave decrease.
Which of the following provides alternating current? Select all that apply.
- Microphone
- Power outlet in your house
- Solar cells
- Battery
solid state has ____________ intermolecular force of attraction.
solid state has the most intermolecular force of attraction.
30POINTS!!!!The solar wind is made up of electrically charged particles. They do not cause harm on Earth. They are too weak.
True
or
False
Answer:
true
Explanation:
the explanation is we would have been roasted if they weren't to weak
PLZZZ HELP ME ASAP!!! :(
A gold bar 20.0kg at 35.0°c is placed in a large insulated 0.8kg glass container at 15°c and 2.0kg of water at 25°c.. calculate the final equilibrium temperature?
Answer:
The final equilibrium temperature is approximately 26.69 °C
Explanation:
The heat transferred, ΔQ, from a hot body to a cold one is given by the following formula;
ΔQ = m·c·ΔT
Where;
m = The mass of the body
c = The specific heat capacity of the body
ΔT = The temperature change of the body
The given mass of the gold bar, m₁ = 20.0 kg
The initial temperature of the gold bar, T₁ = 35.0 °C
The specific heat capacity of gold, c₁ = 0.13 kJ/(kg·K)
The mass of the glass container, m₂ = 0.8 kg
The initial temperature of the glass container, T₂ = 15°C
The specific heat capacity of glass, c₂ = 0.792 kJ/(kg·K)
The mass of the added water, m₃ = 2.0 kg
The initial temperature of the added water, T₃ = 25°C
The specific heat capacity of water, c₃ = 4.2 kJ/(kg·K)
The heat lost by the gold = The heat gained by the glass and the water
Let 'T' represent the temperature at the final equilibrium, we have;
m₁·c₁·ΔT₁ = m₂·c₂·ΔT₂ + m₃·c₃·ΔT₃
Where;
ΔT₁ = T₁ - T
ΔT₂ = T - T₂
ΔT₃ = T - T₃
∴ 20.0 × 0.13 × (35 - T) = 0.8 × 0.792 × (T - 15) + 2.0 × 4.2 × (T - 25)
Expanding and collecting like terms (using a graphing calculator) gives;
91 - 2.6·T = 9.0336·T - 219.504
9.0336·T + 2.6·T = 219.504 + 91 = 310.504
11.6336·T = 310.504
T = 310.504/11.6336 ≈ 26.69
The final equilibrium temperature, T ≈ 26.69 °C.
Part G Assume that friction causes the car to lose 37,800 joules of energy as it travels from the top of the first hill to the bottom.
What's the car's velocity at the bottom of the first hill? Use your answer from part C (416,500) and the formula v= to determine the answer.
(This formula is the kinetic energy formula, rearranged to find v.) 2KE
Answer:
29.9 m/s
Explanation:
answer on edumentum
Answer:
Because energy is conserved, the kinetic energy at the bottom of the first hill is the potential energy at the top of the hill, minus energy lost from friction:
KE = 416,500 J – 37,800 J = 378,700 J
To find the velocity of the car, plug the values for KE and m into the formula and solve:
The roller coaster car has a velocity of about 29.9 meters/second at the bottom of the first hill.
Explanation:
edmentum
En un tiempo de 60 s (segundos), una masa de 0,0014 kg, cambia su velocidad de 25 m/s a 60 m/s. Determine qué fuerza actúa sobre el mismo.
Answer:
Fuerza = 0.0082 Newton
Explanation:
Dados los siguientes datos;
Velocidad inicial, u = 25 m/s
Velocidad final, v = 60 m/s
Tiempo, t = 60 segundos
Masa = 0,0014 kg
Para encontrar la fuerza que actúa sobre el objeto;
En primer lugar, determinaríamos la aceleración del objeto.
Aceleración = (v - u)/t
Aceleración = (60 - 25)/60
Aceleración = 35/60
Aceleración = 5.83 m/s²
A continuación, encontramos la fuerza;
Fuerza = masa * aceleración
Fuerza = 0.0014 * 5.83
Fuerza = 0.0082 Newton
Does the polarity of the rocks in the Aragorn Sea suggest that it is currently expanding? Explain. Thanks This is the last question
The answer is no. Hope this helps
Most metallic elements, such as copper
and iron, have high melting points. This
is a useful property because
F. it keeps cars made of metal from
becoming hot on summer days
G. it enables people to use pots and pans
made of metal to cook food
H. it prevents machine parts made of
metal from rusting
J. it makes metals easier to melt so they
can be poured into molds to make
precision tools
Answer:
G. it enables people to use pots and pans made of metal to cook food
Explanation:
Metals are known to be substances with a relative high melting point, which means that it takes a very high temperature to melt them. As used in this question, copper (Cu) and iron (Fe) at metallic elements that have high melting points.
One advantage of this property based on the options provided is that "it enables people to use pots and pans made of metal to cook food". This is because cooking food requires subjecting them to a constant temperature from a heat source e.g cooker or stove.
The material used to hold the food being cooked must possess a very high melting point to withstand the heat, hence, the importance of these metallic substances. Most pots and pans are made of steel, an alloy of iron, hence, they have high melting point.
The diver finds a rectangular aluminum plate having dimensions 1.0m x 2.0m x 0.03m. A hoisting cable is lowered from the ship and the diver connects it to the plate. The density of aluminum is 2.7 x 103kg/m3. Ignore the effects of viscosity. (c) Calculate the tension in the cable if it lifts the plate upward at a slow, constant velocity. (d) Will the tension in the hoisting cable increase, decrease, or remain the same if the plate accelerates upward at 0.05 m/s2
Answer:
(c)Tension = 162 N
(d) Increase
Explanation:
(c)
In order for the cable to lift the plate at uniform velocity, the tension in the cable must be equal to the weight of the plate.
[tex]Tension = Weight = (Density)(Volume)\\Tension = (2.7\ x 10^3\ kg/m^3)(1\ m)(2\ m)(0.03\ m)\\[/tex]
Tension = 162 N
(d)
The tension with upward acceleration will become:
[tex]Tension = m(g+a)\\Tension = mg + ma\\Tension = Weight + ma\\[/tex]
Hence, the tension will increase by an amount equal to "ma".
Ill give brainliest! 1. Which item below describes a quick change to
Earth's landscape?
A. a stone becoming smooth
B. dirt moving down a steep hill
C. flat land becoming a canyon
D. a glacier flattening the land below it
Answer:
I believe it's D. a glacier flattening the land below it.
Use the drop-down menus to answer each question.
Which type of storm is associated with microbursts?
Which type of storm is common in areas of drought and can last for days?
Which type of storm happens just before strong weather fronts?
Which type of storm moves quickly, appears with little warning, and lasts only a few minutes?
Answer:
1. haboob
2. dust storm
3. haboob
4. sandstorm
Explanation:
just did the assignment
How do the gravitational potential energy and the kinetic energy of the ball change as the ball rolls down the ramp?
Explanation:
The gravitational potential energy is given by :
P = mgh
The kinetic energy of an object is given by :
[tex]K=\dfrac{1}{2}mv^2[/tex]
As the ball reaches the bottom of the ramp, its potential energy decreases and kinetic energy increases.
It imply that, when the ball at the top most height, its gravitational potential energy is maximum and zero kinetic energy and when ball reaches the bottom of the ramp, it will have maximum kinetic energy and zero potential energy.
Some beetles break down the remains of dead animals. Some mushrooms breakdown the remains of dead trees. How do these actions most benefit plants? *
Answer:
A By returning nutrients to the soil
Explanation:
Here are the options
A By returning nutrients to the soil
B By releasing oxygen into the air
C By making space for new animals
D By decreasing the population of herbivores
The process by which mushrooms act on dead trees provide nutrients that are necessary for the process of photosynthesis.
Types of decomposers
Fungi - mushroom is an example of a fungiBacteria Insects - beetle is an example of an insectEarthwormsFunctions of a decomposer
A decomposer recycles dead plants and animals to release nutrients into the soil.They are ecological cleaners. they carry out this function by disintegrating dead plants and animal remains.Evidence for the Big Bang theory includes the following? Choose to answers.
A. Far away stars show a red shift
B. Microwave background creation is found all over the observational universe
C. In Fraired background radiation is found all over the observable universe
D. Far away stars show a blueshift
Answer:
A. Far away stars show a red shift and B. Microwave background creation is found all over the observational universe
Explanation:
Red shift in color indicates that galaxies are moving away from Earth. This is proof that the Universe is continously expanding, which also supports the big bang theory.
The Big Bang theory predicts that the early universe was a very hot place and that as it expands, the gas within it cools. Thus the universe should be filled with radiation that is literally the remnant heat left over from the Big Bang, called the “cosmic microwave background".
I hope this helps :)
What happens when using an air pump to compress air in a cylinder does work on the air in the cylinder ?
Answer:
work is done on the air in the cylinder
Explanation:
when using air pump to compress air in a cylinder; Work is done on the air in the cylinder and its surroundings
work done = F* d
= Magnitude of force * displacement
This is what happens when an air pump is used to compress air into a cylinder
the velocity of a car changes from 20 m/s east to 5 m/s east in 5 seconds. What is the acceleration of the car?
Answer:
3 m/s²
Explanation:
Acceleration = Change in velocity/ time
= (20 - 5) / 5
= 3 m/s²
What happens to the magnetic force as an object gets further away from the magnetic field?
after a hot sun day, a plant withers and dries up. which explains how this happens
Answer:
On a hot, dry day (or after several days with no rain or watering), transpiration causes more water to be lost than is coming in, and the water balance within the plant can get thrown off. The dehydrated collapsing cells in the leaves and stems can no longer remain erect, and the plant begins to wilt.
Explanation:
7 sentences
about degradable
Answer:
Many of planet earth's water pollution crises are due to the use of items that are not degradable biologically;Her address to the United Nations said we have to return to the use of degradable materialsThey are currently producing oxo-degradable materialsSweden is the third nation to perfect and implement the total use of bio-degradable plastic bagsPepsi Cola Company was reported to have promised to discontinue the use of bottles that were not degradable biologicallyAdverse weather conditions eventually make every matter degradable. Some just take longer than otherdetergents are degradable.
Cheers
PLEASE HELP!! FOR HIGH SCHOOL PHYSICAL SCIENCE! WILL MARK YOU BRAINLIEST!
list some patterns that organize the elements in terms of atomic number, atomic mass and valence electrons? What do the periods (horizontal rows) and groups (vertical columns) of the periodic table indicate to us about the elements that are categorized within them?
Answer:
Periods indicate that a new period at a new principal energy level which is filled with electrons. Groups indicate that the elements share similar properties because their shells are filled with the same number of valence electons.
Explanation:
We see that starting at period 2 Li has a +1 charge , He has +2 charge, B has +3 charge, C has the potential to have a +4 charge or -4 charge (because it can gain or loose electrons) and N has a -3 charge, etc. Groups however, have similar properties and every element in a 1A - 8A has the same number of valence electrons. All except the noble gases in which He only needs 2 electrons to be in a perfect state. This is its octet as it would be a completely different element if it had more than 2 electrons in its shell. An example of the groups sharing similar properties is if we were to look at group 1A. In group 1A we find H, Na, K, etc. These are all highly unstable elements when alone (not in a compound) and they are very reactive. If you were to put Na for instance in water, it would light up and you'd see a flame sitting on top of the water. A scientist could do that with the rest of the elements in the group and they would see this increasing in reactivity as you go down the periods. Francium isn't visible long enough to be able to see this happen though. It's more of that kind of element that scientists prove that it exists, but not a very common element to get to learn much about.
If you mix hot water and cold water in an isolated medium, what would be the temperature of the mixture after a certain duration?
The mixture would have the temperature equal to the temperature of the hot water.
The mixture would have the temperature equal to the temperature of the cold water.
The temperature of the mixture would become zero.
The mixture would have the temperature between the initial temperatures of the hot water and the cold water.
Answer: D.
Explanation:
I just took a quiz im in highschool too and I got a 100
If you mix hot water and cold water in an isolated medium the mixture would have the temperature intermediate of the initial temperatures of the hot water and the cold water because of heat transfer.
How heat is transferred ?
Heat moves from higher temperature to lower temperature, a mixture of hot and cold water reaches an intermediate temperature. When hot water is placed over cold water, the denser cold water flows to the bottom, mixes with the hot water, and heats up.Energy is transferred from the hotter, or higher temperature, object to the colder, or lower temperature, object when two objects with different temperatures come into contact, until both are the same temperature. Once the temperatures are the same, there is no net heat transfer because the heat that is transferred from one object to another is the same as the heat that is returned.Changes in temperature are one of the main effects of heat transfer. The temperature rises when heated, while it falls when cooled. The change in a substance's temperature, the substance's mass, and certain phase-related physical properties are the three factors that, according to experiments, determine how much heat is transferred to or from a substance.Heat transfer takes place whenever there is a difference in temperature. Heat move might happen quickly, for example, through a cooking container, or gradually, like through the walls of a protected cooler.There are three distinct approaches to heat transfer: radiation, conduction, and convection. All three may occasionally occur simultaneously.To know more about heat transfer check this:
brainly.com/question/20083116
#SPJ2
A wave's speed changes when it goes through a different medium, or type of matter. Our atmosphere is one type of medium, and is crucial to helping sunlight sustain life on Earth. Explain how the atmosphere does this, and what life on Earth might be like if we didn't have an atmosphere.
Calculate the velocity of:
A bus travelling through town, with a mass of 5040 kg and kinetic energy of
493,900 J.
Answer:
solution
given,
mass(m)=5040kg
kinetic energy(ke)=493,900
velocity(v)=?
[tex]ke = \frac{1}{2} mv {}^{2} \\ 493900 = \frac{1}{2} \times 5040 \times v {}^{2} \\ 493900 = \frac{5040v {}^{2} }{2} \\ 493900 = 2520v {}^{2} \\ v {}^{2} = 196 \\ v = \sqrt{196} \\ v = 14ms {}^{ - 1} [/tex]
When an object moves from one point to other point, it possess the energy which is called the Kinetic energy of the object.
The velocity of he bus is 14 m/s.
Given that, a bus travelling through town, with a mass of 5040 kg and kinetic energy of 493,900 J.
So the kinetic energy expressed by the formula given below.
[tex]k=\dfrac {1} {2}mv^2[/tex]
Where, [tex]k[/tex] is the kinetic energy in joules, [tex]m[/tex] is the mass of object in kilograms and [tex]v[/tex] is the velocity of the object in meter per second.
So the velocity of the bus can be calculated by substituting the values in above formula.
[tex]493900=\dfrac{1}{2}\times5040\times v^2[/tex]
[tex]v^2=196\\\\v=\sqrt{196}\\v=14\;\rm m/s[/tex]
The velocity of he bus is 14 m/s.
For more details, follow the link given below.
https://brainly.com/question/999862.