explain why a projectile release add an angle of 60° and 30° both
travel the same range
Answers
A projectile launched at angles of 60° and 30° will travel the same range due to the symmetrical nature of projectile motion. The horizontal and vertical components of motion are independent of each other, and the range depends only on the initial speed and the launch angle.
When a projectile is launched at an angle, it follows a curved trajectory due to the combination of its horizontal and vertical motions. The horizontal component of the projectile's velocity remains constant throughout its flight, while the vertical component is affected by gravity.
For a given initial speed, the range of a projectile (the horizontal distance it travels) is maximized when the launch angle is 45°. This is because at 45°, the initial speed is divided equally between the horizontal and vertical components, resulting in the maximum range.
When the launch angles are 60° and 30°, the components of the initial velocity are divided differently, but the total initial speed remains the same. The component of the initial velocity in the horizontal direction is given by V₀ * cos(θ), and in the vertical direction, it is V₀ * sin(θ), where V₀ is the initial speed and θ is the launch angle.
If we consider two projectiles with the same initial speed, launched at 60° and 30°, the vertical components of their initial velocities will differ, but their horizontal components will be the same. As a result, the time of flight and the vertical displacement will differ, but the horizontal distance traveled (range) will be the same for both projectiles.
The range of a projectile launched at angles of 60° and 30° is the same because the horizontal component of the initial velocity, which determines the range, remains constant. The vertical component of the initial velocity affects the time of flight and vertical displacement but does not impact the range. This can be understood by recognizing that the horizontal and vertical components of motion are independent of each other in projectile motion. The symmetrical nature of the range allows for different launch angles to produce the same horizontal distance traveled as long as the initial speed remains constant.
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Related Questions
Suppose two ships start from point B and travel west. One ship travels at an average velocity of 35 km/h for 2.2 h. Another ship travels at an average velocity of 26 km/h for
2.5 h. What is the final position of each ship?
Answers
Answer:
Another ship travels at an average velocity of 26 km/h for
Explanation:
Ship one will cover a distance of 77 km after 2.2 hours and ship two will cover a distance of 65 km after 2.5 hours.
What are average speed and velocity?The average speed of an object is the average distance it covers in a given length of time. The scalar number reflects the average speed. Direction can be replaced with magnitude.
\(Average\ speed=Total\ distance/Total\ time\)
Average velocity is a vector quantity. The change in position or displacement divided by the periods of time during which the change occurs is known as average velocity. Depending on how the displacement has been adjusted, the average velocity could be either positive or negative. Meters per second (m/s), or average velocity, is the SI measure for speed.
\(Average\ Velocity=Total\ displacement/Total\ time\)
According to the question,
Ship one has an average velocity of 35 km/h for 2.2 hours.
So, total distance covered by ship one = 35 × 2.2 = 77 km.
Ship one has an average velocity of 26 km/h for 2.5 hours.
So, total distance covered by ship one = 26 × 2.5 = 65 km
Hence, the distance covered by ship one is 77 km and ship two will cover 65 km.
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If an 800 kg roller coaster is at the top of its 50 high trackwill have a potential energy 392,000 J and a energy of This means the total mechanical energy is 392,000 the cart drops down to where its kinetic energy is now 92, 000J how high off the ground is the cart now?
Answers
Given data:
* The mass of the roller coaster is m = 800 kg.
* The total mechanical energy is E = 392000 J.
* The kinetic energy at the particular height (let h') is K = 92000 J.
Solution:
The potential energy of the roller coaster at h' is,
\(\begin{gathered} U=E-K \\ U=392000-92000 \\ U=300000\text{ J} \end{gathered}\)The potential energy in terms of height and mass is,
\(U=\text{mgh}\)where g is the acceleration due to gravity,
Substituting the known values,
\(\begin{gathered} 300000=800\times9.8\times h \\ 300000=7840\times h \\ h=\frac{300000}{7840} \\ h=38.3\text{ m} \end{gathered}\)Thus, the height of the roller coaster from the ground is 38.3 meters.
A river flows with a speed of 3km/h in still water. A man who can swim with a speed of 5km/h wishes to reach a point on the other bank just opposite to the starting point. In which direction should he put his strokes and how long will he take to cross the river of width 1.2km? Please try to provide a diagram and step by step explanation.
Answers
Answer:
Explanation:
Let the angle required be θ with direction opposite to current .
cos θ = 3 / 5
θ = 53° .
Resultant velocity towards the opposite side
= √ ( 5 ² - 3²)
= 4 km /h
distance covered = 1.2 km
time taken = 1.2 / 4 = .3 h
= 18 min .
which particles act together to make atoms behave as solids
Answers
Question
Which particles act together to make atoms behave as solids
Answer:
Electrons. Mutually repel elections of other atoms when they get close
Explanation:
A demonstration of the behavior of particles as solids, liquids and gases. Crystals, on the other hand, aren't at all haphazard. Particles are held together by forces of attraction. Protons (+) and Electrons (-) Which subatomic particles act together to make atoms behave as a solids because they are found buzzing around the nucleus.
Which athelete broke two world records twice this year?
Answers
Answer:
Michael
Explanation:
3 A 100 g steel ball falls from a height of 1.8 m on to a metal plate and rebounds to a height of 1.25 m.
Answers
Given values:
Mass of the steel ball, m = 100 g = 0.1 kg
Height of the steel ball, h1 = 1.8 m
Rebound height, h2 = 1.25 m
a. PE= mgh
0.1 x 9.8 x 1.8 =
1.764 Joules
b. KE = PE ->
1.764 Joules
c. KE= 1/2 mv square
so v = square root 2ke/m
square root 2 x 1.764/ 0.1
= 5.93 m/s
d. KE=PE=mgh square
0.1 x 9.8 x 1.21 =
1.186 joules
velocity of rebond is square root 2x 1.186/ 0.1 = 4.87 m/s
It makes a distinct "clang", even if there is nobody there to hear it.
The primary circuit of a transformer has a voltage of 80 V and 300 windings. The secondary circuit has a voltage of 240. How many windings are there in the secondary circuit? *
Answers
Answer:
900 windings
Explanation:
Applying,
Vs/Vp = Ns/Np............. Equation 1
Where Vs = Secondary voltage, Vp = primary voltage, Ns = Number of turns in the secondary circuit, Np = number of turns in the primary circuit
make Ns the subject of the equation
Ns = VsNp/Vp........... Equation 2
From the question,
Given: Vs = 240 V, Np = 300 windings, Vp = 80 V
Substitute these values into equation 2
Ns = (240×300)/80
Ns = 900 windings
Which object provides an inertial frame of reference?.
Answers
Answer:
a skydiver falling at terminal (constant) velocity
Explanation:
a boy sleading down a hill accelerates
alt 1.40m/s? If he started from rest, in what
In what distance would he reach a speed.
of 7s?
Answers
Answer:
9.8
Explanation:
distance=vt
1.40*7=distance
2. A car initially traveling at a speed of 16 meters per second accelerates uniformly
by 0.22 meters per second squared for 12 seconds. What is the final velocity of
the car?
Answers
Answer: Final velocity of car is 18.64 m/s
Explanation:
According to equation of motion,
V=U + at
where,
V is final velocity
U is initial velocity
a is acceleration
T is time
in the question,
U=16 m/s
a=0.22 m/s*s
t=12 seconds
on substituting values,
V = 16+(12*(0.22))
V=18.64
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Plz help me with these :)
Answers
The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another.
hopes this helps :)
2 Energy of Motion
3 false
You wish to start a fire by reflecting sunlight from a mirror onto some paper under a pile of wood. Which would be the best choice for the typeof mirror? (a) flat (b) concave (c) convex
Answers
You wish to start a fire by reflecting sunlight from a mirror onto some paper under a pile of wood which means the best choice of the type of mirror for this operation is a concave one and is denoted as option B.
What is Concave mirror?This type of mirror usually has a reflective surface that is curved inward and away from the light source. They also reflect light inward to one focal point which is done by reflecting all the rays parallel to its axis and converge them at a single point.
For fire to occur, then we need a large concentration of light rays which will help reflect all the sunlight from a mirror onto some paper under a pile of wood thereby causing the fire.
This is therefore the reason why concave mirror was chosen as the most appropriate choice.
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Particles 91 = -66.3 MC, 92 = +108 MC, and
93 = -43.2 MC are in a line. Particles q1 and q2 are
separated by 0.550 m and particles g, and 93 are separated by 0.550 m. What is the net force on particle 92?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
Answers
The net force on particle 92 is approximately 8.10 × 10¹¹ N to the right.
The net force on particle 92 due to particles 91 and 93 can be calculated using Coulomb's law:
F = k * |q₁| * |q₂| / r² where k is the Coulomb constant (9.0 × 10⁹ N·m²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them. The direction of the force is given by the signs of the charges.
The force on particle 92 due to particle 91 is:
F₁ = k * |91| * |92| / r² = k * 66.3 * 108 / (0.550)²
≈ 4.90 × 10^11 N
Since particle 91 has a negative charge and is to the left of particle 92, the force it exerts on particle 92 is to the right (positive).
The force on particle 92 due to particle 93 is:
F₃ = k * |93| * |92| / r² = k * 43.2 * 108 / (0.550)²
≈ 3.20 × 10¹¹ N
Since particle 93 has a negative charge and is to the right of particle 92, the force it exerts on particle 92 is also to the right (positive).
The net force on particle 92 is the vector sum of F₁ and F₃:
Fnet = F₁ + F₃ ≈ 8.10 × 10¹¹ N to the right.
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a binary star system has two stars where the low mass star orbits the more massive star at a distance of 3 au. they orbit each other with a period of 2 years. their combined mass in solar units is
Answers
Their combined mass in solar units is 9.813.
Distance is the numerical often qualitative size of how some distance aside items or factors are. In physics or regular usage, the distance may check with a physical duration or an estimation primarily based on other criteria.
The space between two factors in physical space is the period of an immediate line among them, that's the shortest feasible course.
It reduces the entire international or part of the arena to a small sheet of paper. At the same time as making a map, cartographers pay attention to properly constitute the distance between two locations.
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if space has a hyperbolic geometry, what will happen to two initially parallel flashlight beams as they traverse billions of light-years of space?
Answers
In a space with hyperbolic geometry, the behavior of parallel lines differs from that of Euclidean geometry.
In hyperbolic space, parallel lines diverge from each other as they extend further.If two initially parallel flashlight beams traverse billions of light-years of space in a hyperbolic geometry, they will gradually diverge from each other. The divergence between the beams will increase as they travel a greater distance.
This phenomenon is a consequence of the non-Euclidean geometry of space. In hyperbolic space, the curvature causes parallel lines to "spread out" or diverge. The extent of the divergence will depend on the specific curvature of the space and the distance traveled.
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Unknown liquid can be found using a breaker a hot plate and a temperature probe
Answers
Immersion thermometers can be used to determine the temperature of liquids and viscoelastic materials. Observe the temperature at which the liquid begins to boiling.
To find an unknown liquid, you can use a beaker, a hot plate, and a temperature probe. First, fill the beaker with the unknown liquid. Then, place the beaker on the hot plate and turn it on to heat up the liquid. As the liquid heats up, use the temperature probe to measure the temperature. Once the liquid reaches a boiling point or a temperature that matches a known substance, you can identify the unknown liquid by comparing its boiling point or temperature to that of known substances. This method is often used in chemistry labs to identify unknown liquids.
Then, place the beaker onto the hot plate and turn it on to gradually heat the liquid. As the temperature increases, monitor it using the temperature probe.
The fast change from liquid to gaseous during boiling is characterised by the development of vapours (bubbles) inside the liquid. Similar to fusion, a given substance has a temperature (called the boiling point) at which it transforms from a liquid into a gaseous state. Boiling point is this temperature.
In the scenario described in the previous question, you must pour the liquid into the beaker and heat it on the hot plate. You will record the temperature at which the liquid began to boil using the temperature probe.
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The Complete question is
Unknown liquid can be found using a breaker a hot plate and a temperature probe and Which type of probe is best to measure the temperature of liquid?
a piston–cylinder device, whose piston is resting on a set of stops, initially contains 6 kg of air at 200 kpa and 27°c. the mass of the piston is such that a pressure of 400kpa is required to move it. heat is now transferred to the air until its volume doubles. the gas constant of air is r
Answers
By using internal energy, the heat transferred to the air until its volume doubles is 5570.69 joule.
We need to know about internal energy to solve this problem. For a closed system, with matter transfer excluded, the changes in internal energy are due to heat transfer and due to thermodynamic work done by the system on its surroundings. It can be determined as
ΔU = Q - W
where ΔU is the change in internal energy, Q is heat transferred and W is work done.
From the question above, we know that
m = 6 kg
P1 = 200 kPa
T1 = 298 K
P2 = 400 KPa
The internal energy should be
ΔU = Q - W
m(U2 - U1) = Q2 - W2
at the second state the work is zero
m(U2 - U1) = Q2
Assume constant specific heats
Q2 = m . Cv (T2 - T1)
Using the ideal gas
P1/T1 = P2/T2
200/298 = 400/T2
T2 = 596 K
Q2 = m . C . (T2-T1)
Q2 = 6 . 3.1156 . (596-298)
Q2 = 5570.69 joule
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The rotational inertia of a thin cylindrical shell of mass M, radius R, and length L about its central axis (X - X') is:
A. MR2/2
B. ML2/2
C. ML2
D. MR2
E. none of these
Answers
The rotational inertia of a thin cylindrical shell of mass M, radius R, and length L about its central axis (X - X') is MR²/2.
Determine the moment of inertia?The rotational inertia, also known as the moment of inertia, is a property that quantifies an object's resistance to rotational motion. For a thin cylindrical shell, the rotational inertia can be calculated based on its mass, radius, and length.
The formula for the rotational inertia of a thin cylindrical shell is given by I = MR²/2, where M represents the mass of the shell and R represents its radius.
In this case, since we are considering the rotational inertia about the central axis (X - X'), the length of the cylinder (L) does not come into play. The only relevant parameters are the mass (M) and radius (R).
Applying the formula, the rotational inertia of the thin cylindrical shell is MR²/2. Therefore, the correct answer is A. MR²/2.
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1
12. A tennis player runs from point A to point B to point C as shown in the picture. From A to B is 4.2 m,
from B to C is 2.6 m. What is the total distance traveled from A to C? What is the tennis player's
displacement from A to C?
AS
Answers
Answer: Tennis player's total distance travelled from A to C=8.4m
Tennis player's total displacement travelled from A to C=1.6m
Explanation:
As per shown in the fig:
Given:
AB=4.2m
BC=2.6m
Distance is total path travelled by an object
So distance d=AB+AC+BC.....1
but, AC=AB-BC
=4.2-2.6
AC= 1.6m .......2
Total distance=4.2+2.6+1.6
Total distance=8.4 m
As per definition, displacement is minimum distance travelled by the object .It is nothing but the AC in this question.
displacement=AC=1.6m......(from 2)
at cruising speed, 2023 sentra’s xtronic cvt® with d-step tuning can immediately change ratios for ________.
Answers
The outside lights will flash to show that Easy-Fill Tire Alert is keeping track of the change in air pressure as the tire fills with air. The car's horn will sound when the tire's pressure is just right. If
Which is preferable, SR or SV?The 2022 Nissan Sentra lineup, which is stacked with high-end features, places the SV version in the middle. The SR model, which rounds off the lineup, provides more cutting-edge innovations and opulent features. The Midnight Edition and Premium packages both include this premium trim.
Which trim level of the Nissan Sentra is best?The top trim level is the Nissan Sentra NISMO. With this trim level, you get a fantastic balance of performance and luxury.
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some particulates absorb the water vapor around them. they are said to be ________.
Answers
Some particulates absorb the water vapor around them, and they are said to be hygroscopic.
Hygroscopic materials are able to attract and hold water molecules from their surrounding environment. This property is essential in various applications such as humidity control, moisture absorption, and preservation of certain products.
In the atmosphere, hygroscopic particulates play a crucial role in cloud formation and air quality. When water vapor is absorbed by these particles, they increase in size, which can lead to the formation of cloud droplets. This process is known as cloud condensation nucleation. The presence of hygroscopic particulates in the atmosphere can impact weather patterns, precipitation, and even climate.
Furthermore, hygroscopic materials can influence air quality by removing excess moisture from the air, which can help to maintain a comfortable and healthy environment. They can also reduce the likelihood of mold growth and other issues related to excess humidity. However, it is important to note that some hygroscopic particles, such as certain pollutants, can have negative effects on air quality and human health when present in high concentrations.
In summary, hygroscopic particulates have the ability to absorb water vapor from their surroundings, playing a significant role in various environmental processes such as cloud formation, humidity control, and air quality.
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Does the polarity of rocks in the Aragorn Sea suggest that the Sea is currently expanding? If so, explain? (ngl I am so confused by this question),
-and no links please, thank you
Answers
Answer:
55.7
Explanation:
A stone is thrown directly upward with an initial speed of 5.6 m/s from a height of 18 m. what is the speed of the stone in m/s when it hits the ground? use g = 9.8 m/s2.
Answers
The speed of the stone when it hits the ground is approximately 19.6 m/s.
To find the speed of the stone when it hits the ground, we can use the kinematic equation for vertical motion. The equation is:
v^2 = u^2 + 2as
Where:
v = final velocity (speed of the stone when it hits the ground)
u = initial velocity (5.6 m/s, the speed at which the stone was thrown upward)
a = acceleration due to gravity (-9.8 m/s^2, since the stone is moving in the opposite direction of gravity)
s = displacement (the height of the stone when it hits the ground, which is 18 m)
Plugging in the values, we get:
v^2 = (5.6 m/s)^2 + 2(-9.8 m/s^2)(-18 m)
Simplifying:
v^2 = 31.36 m^2/s^2 + 352.8 m^2/s^2
v^2 = 384.16 m^2/s^2
Taking the square root of both sides:
v = √384.16 m^2/s^2
v ≈ 19.6 m/s
Therefore, the speed of the stone when it hits the ground is approximately 19.6 m/s.
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HURRY PLEASE!!
The particles of solids are packed together tightly, so sound waves travel faster through solids than through liquids or gases. How do light waves differ from sound waves?
A. Light waves require a medium and travel fastest through liquids
B. Light waves require a medium, but travel fastest through a vacuum
C. Light waves do not require a medium, but travel fastest through solids
D.
Light waves do not require a medium and travel fastest when in a vacuum
Answers
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Explanation:
Sound travels fastest through solids. This is because molecules in a solid medium are much closer together than those in a liquid or gas, allowing sound waves to travel more quickly through it. In fact, sound waves travel over 17 times faster through steel than through air.
Option b
REAL NAME - SHRESTH DUBEY
Explain: Light is a transverse, electromagnetic wave that can be seen by the typical human. The wave nature of light was first illustrated through experiments on diffraction and interference. Like all electromagnetic waves, light can travel through a vacuum.
Work is done on an object only if the force and displacement are
О the same magnitude
O in the same direction
O in the same day
O done by the same person
Answers
Answer:
C) In the same direction
Explanation:
An observer watching a sailing ship at sea notes that the ship appears to be "sinking" as it moves away . which statement best explains this observation? A, The earth is revolving B, The earth is rotating C, The earth has a curved surface D, The surface of the ocean has depressions
Answers
The statement that best explains this observation is "The earth has a curved surface."The correct option is C.
As the ship moves away from the observer, its distance from the observer increases, and the angle between the observer's line of sight and the ship's hull decreases. At some point, the ship's hull disappears below the horizon, and only its mast and sails are visible. This phenomenon occurs because the surface of the Earth is curved, and the observer's line of sight becomes tangent to the surface at some distance away from the observer. The curvature of the Earth causes the observer's line of sight to intersect the surface of the ocean at a greater distance from the observer as the ship moves away, making it appear as if the ship is sinking.
The other options are not true because:
A. The Earth's revolution around the sun does not affect the observer's line of sight to the ship.
B. The Earth's rotation causes the apparent motion of celestial objects, but it does not cause the observed sinking of the ship.
D. The surface of the ocean having depressions does not cause the observed sinking of the ship, as the phenomenon occurs even in calm seas with a uniform surface.
Therefore, The correct answer is Option C.
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please correct the wrong
answer. and underline the answer thank you
1. One mole of an ideal gas expands isothermally at T = 20°C from 0.8 m³ to 2.1 m³. The gas constant is given by R= 8.314 J/(mol K). (a) Calculate the work done by the gas during the isothermal exp
Answers
The work done by the gas during the isothermal expansion is approximately -4125.40 J. The calculation involves considering the gas constant, temperature, and initial and final volumes.
To calculate the work done by the gas during an isothermal expansion, we can use the formula:
W = -nRT ln(Vf/Vi)
Where:
W is the work done
n is the number of moles of the gas
R is the gas constant (8.314 J/(mol K))
T is the temperature in Kelvin
Vf is the final volume
Vi is the initial volume
Given:
n = 1 mole
R = 8.314 J/(mol K)
T = 20°C
= 293.15 K
Vi = 0.8 m³
Vf = 2.1 m³
Substituting the values into the formula:
W = -1 * 8.314 J/(mol K) * 293.15 K * ln(2.1 m³ / 0.8 m³)
≈ -4125.40 J
Therefore, the work done by the gas during the isothermal expansion is approximately -4125.40 J. The negative sign indicates work done on the gas.
By using the formula for work done during an isothermal expansion and substituting the given values, we calculated that the work done by the gas is approximately -4125.40 J. The negative sign indicates that work is done on the gas during the expansion. The calculation involves considering the gas constant, temperature, and initial and final volumes.
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can i get sum help on this please!?
Answers
1720
Explanation:
distance+speed =time
40+1680=1720
Answer:
It is simple (your not dum.b) but you just need to divide 1680 by 40 which will give you the answer which would be 42 it would take 42 hours driving constantly at 40 miles an hour
a small insect viewed through a convex lens is 2.5 cm from the lens and appears 2.5 times larger than its actual size. part a what is the focal length of the lens? express your answer using two significant figures. f
Answers
The lens' focal length is 1.5 cm, and its focal length is equal to half its radius of curvature, as shown by the formula f=R2 f = R 2, where f seems to be the focal length as well as R is indeed the radius of curvature.
What does focal length mean?When a lens is focussed at infinity, the focal length of the lens is discovered. We can determine the angle of view, or the amount of the scene will be caught, and the magnification, or how big the individual elements will be, by measuring the focal length of the lens. A narrower field of view and a higher magnification result from a longer focal length.
How do focal length or wavelength work?As wavelength and refractive index are inversely connected, the focal length of a lens varies inversely with each of them. The focal length of a lens varies directly with wavelength of light employed. The main reason chromatic aberration occurs is due to this. No relationship exists between the focal length and the frequency of a light.
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Answer the following questions regarding the equation:
N₂ + 3H₂ → 2NH₃
1) indicates what type of reaction is
2) what represents the coefficients 3 and 2 in the previous reaction is done for
3) What would be missing in the previous equation to make it more accurate is
Answers
Explanation:
1) This is a synthesis reaction (two or more reactants combine to form a single product).
2) The coefficients are added to balance the reaction.
3) Adding the states of matter (solid, liquid, gas) will make the reaction more precise.