Answers
Answer:
The value of \(\theta=63.43^0\)
Explanation:
Range of projectile \(\mathrm{R}=\frac{\mathrm{u}^{2} \cdot \sin 2 \theta}{\mathrm{g}}\)
Height of projectile \(\mathrm{h}=\frac{\mathrm{u}^{2} \cdot \sin ^{2} \theta}{2 \cdot \mathrm{g}}\)
Here we have
\(R=2h\\\\\frac{\mathrm{u}^{2} \cdot \sin 2 \theta}{\mathrm{g}}=2\frac{\mathrm{u}^{2} \cdot \sin ^{2} \theta}{2 \cdot \mathrm{g}}\\\\\sin 2 \theta=\sin ^{2} \theta\\\\2\sin \theta\cos \theta=\sin ^{2} \theta\\\\\tan \theta=2\\\\\theta=63.43^0\)
Range be R and height be h
\(\boxed{\sf R=\dfrac{u^2sin2\theta}{g}}\)
\(\boxed{\sf h=\dfrac{u^2sin^2\theta}{2g}}\)
u=initial velocitytheta is angle of projection.g=acceleration due to gravityATQ
\(\\ \sf\longmapsto R=2h\)
\(\\ \sf\longmapsto \dfrac{u^2sin2\theta}{g}=\dfrac{2u^2sin^2\theta}{2g}\)
Cancelling required ones\(\\ \sf\longmapsto sin^2\theta=sin2\theta\)
sin2O=2sinOcosO\(\\ \sf\longmapsto sin^2\theta=2sin\theta cos\theta \)
\(\\ \sf\longmapsto \dfrac{sin^2\theta}{sin\theta cos\theta=2\)
\(\\ \sf\longmapsto \dfrac{sin\theta}{cos\theta}=2\)
\(\\ \sf\longmapsto tan\theta=2\)
\(\\ \sf\longmapsto \theta=tan^{-1}(2)\)
\(\\ \sf\longmapsto \theta=63.4°\)
Related Questions
The magnitudes of two horizontal displacements are 4 m and 9 m, respectively. Given that the vectors may be in either the plus or the minus direction, they cannot be added together to give a total displacement of
Answers
The magnitudes of two horizontal displacements are 4 m and 9 m, respectively. Given that the vectors may be in either the plus or the minus direction, they cannot be added together to give a total displacement of 4m.
The attain of the projectile is the horizontal displacement of the projectile and is decided by the object's initial pace.
If a projectile is fired on an equal starting velocity but from complementary tiers of projection, its variety will be equal.
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A particle of mass 16kg travelling with a velocity of 10m/s is acted upon by a steady force of friction in a direction opposite that of its motion. Find the speed of the particle after 10 seconds if the force of friction is 25N.
Answers
The speed of the particle after 10 seconds is, 25.88m/s.
To find the answer, we have to know more about the equations of motion.
How to find the speed of the particle after 10s?It is given that,\(m=16kg\\u=10m/s\\t=10s\\f=25N\)
It is clear from the question that, the motion is balanced by the frictional force. Thus, the acceleration will be,\(ma=f\\a=\frac{f}{m} =\frac{25}{16}=1.6m/s^2\)
We have the equation of motion for the distance travelled as,\(S=ut+\frac{1}{2}at^2=(10*10)+(\frac{1.6*10^2}{2})=178.13m\)
Thus, by another equation of motion connecting a, S, and u, we get the final speed after 10s as,\(v=\sqrt{u^2+2aS} =\sqrt{10^2+(2*1.6*178.13)} =25.88m/s\)
Thus, we can conclude that, the speed of the particle after 10 seconds is, 25.88m/s.
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When a gas increase in thermal energy it will go through...?
A. thermal contraction
B. thermal expansion
C. freeze
D. smell
Answers
Answer:
b
Explanation:
what is magnetic field
Answers
Answer:
A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.
Explanation:
Answer:
Explanation:
A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. ... Magnetic fields surround magnetized materials, and are created by electric currents such as those used in electromagnets, and by electric fields varying in time.
in general, what happens to the density and temperature of a gas as it expands?
Answers
The temperature of a gas will increase and the density will decrease as it
expands.
The expansion of gas happens as a result of an increase in the elastic
collision of the atoms. This is as a result of the increase in temperature which causes the atoms to be more spatially arranged.
The density of gas also reduces as a result of the same number of gas
molecules occupying more volume.
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A solid cube is submerged in a container of water of density rhow . The cube has mass M , volume Vc , and density rhow2 . The water exerts an upward buoyant force on the cube of magnitude rhowVcg .
The cube is released and allowed to rise.
What is the magnitude of the acceleration of the cube immediately after release?
Answers
When a solid cube is submerged in a container of water of density rhow, the buoyant force on the cube of magnitude rhowVcg.
The buoyant force can be determined by calculating the difference between the cube's weight and the weight of an equal volume of water.The cube experiences a buoyant force of Fb = rhow * Vc * g, where Vc is the cube's volume and g is the acceleration due to gravity.The buoyant force on the cube is proportional to the volume of fluid displaced by the cube. The cube will displace a volume of water equal to its volume, Vc. The buoyant force, Fb, is given by the equation:Fb = rhow * Vc * gThe weight of the cube, Fg, is given by:
Fg = M * g
The net force acting on the cube, Fnet, is:Fnet = Fb - FgThe acceleration of the cube, a, is given by:
Fnet = Maa = Fnet / M
The magnitude of the acceleration of the cube immediately after release is given by:
a = (rhow * Vc * g - M * g) / M
= g * (rhow * Vc / M - 1)
The correct option is:(g * (rhow * Vc / M - 1)).
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a spring with a force constant of 2500 n/m has been compressed by 14 cm. what is the strength of the force that the spring is exerting?
Answers
The spring is exerting a force of 350 N in the opposite direction of the compression.
The strength of the force that the spring is exerting can be calculated using Hooke's Law, which states that the force exerted by a spring is directly proportional to its displacement from its equilibrium position:
F = -kx
where F is the force exerted by the spring, k is the spring constant, and x is the displacement from the equilibrium position.
In this case, the spring constant is given as k = 2500 N/m, and the spring has been compressed by x = 14 cm = 0.14 m. Therefore, the force exerted by the spring is:
F = -kx = -(2500 N/m)(0.14 m) = -350 N
Note that the negative sign indicates that the force is directed in the opposite direction to the displacement of the spring, in accordance with Hooke's Law. So the spring is exerting a force of 350 N in the opposite direction of the compression.
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A 3.0-kg meatball is moving with a speed of 6.0 m/s directly toward a 2.0 kg meatball which is at rest. The two meatballs collide and stick together. What is their velocity immediately after the (inelastic) collision?
18 m/s
3.6 m/s
6 m/s
5 m/s
Answers
Answer:
Their common velocity after collision is 3.6 m/s
Explanation:
Given;
mass of the first meatball, m₁ = 3.0 kg
initial velocity of the first meatball, u₁ = 6.0 m/s
mass of the second meatball, m₂ = 2.0 kg
initial velocity of the first meatball, u₂ = 0 m/s
let their common velocity after collision = v
Apply the principle of conservation of linear momentum for inelastic collision ;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
(3 x 6) + (2 x 0) = v( 3 + 2)
18 = 5v
v = 18 / 5
v = 3.6 m/s
Therefore, their common velocity after collision is 3.6 m/s
what electric field is necessary to drive a 8.0 a current through a silver wire 0.65 mm in diameter?
Answers
The electric field is necessary to drive a 8.0 amp current through a silver wire 0.65 mm in diameter is 0.38 V/m.
The current is = 8 amp
The diameter = 0.65 mm
The electric field expression is as follows :
E = ρ J =
E = ρ I / A
A =( 1 / 4 ) π d²
E = 4 (1.59 × 10 ⁻⁸ ) ( 8 ) / 3.14 × ( 0.65 mm )²
E = (50.8 × 10 ⁻⁸ ) / 1.32
E = 0.38 V/m
Thus, the electric field used to drive the current is 0.38 V/m.
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A block of mass m = 3.7 kg slides from left to right across a frictionless surface withra speed v; - 7.4 m/s. It collides in a perfectly elastic collision with a second block of
mass M that is at rest. After the collision, the 3.7-kg block reverses direction, and its new speed is vf 2.2 m/s. What is M?
8.9 kg
6.8 kg
5.2 kg
7.5 kg
Answers
Answer:
5.2 kgExplanation:
#CARRY ON LEARNING #MARK BRAINLITSA child in danger of drowning in a river is being carried downstream by a current that flows uniformly with a speed of 2.0 m/s. The child is 200 m away from the show and 1500 m upstream of the boat dock from which the rescue team sets out. If their boat speed is 8.0 m/s with respect to the water, at what angle should the pilot leave the shore to go directly to the child?
Answers
The pilot should leave the shore at an angle of 14.04° in order to go directly to the child.
To find the angle, we can use the Pythagorean Theorem and trigonometry.
First, we need to find the distance between the child and the boat dock. Using the Pythagorean Theorem, we get:
d = √((200 m)^2 + (1500 m)^2) = 1520.69 m
Next, we need to find the time it will take for the child to reach the boat dock. Since the child is being carried by the current at a speed of 2.0 m/s, we can use the formula:
t = d/v = 1520.69 m / 2.0 m/s = 760.34 s
Now, we need to find the distance the boat will travel in this time. Since the boat has a speed of 8.0 m/s with respect to the water, we can use the formula:
d = v*t = 8.0 m/s * 760.34 s = 6082.72 m
Finally, we can use trigonometry to find the angle at which the pilot should leave the shore. Using the formula:
tan(θ) = opposite/adjacent = 200 m / 6082.72 m = 0.0329
θ = tan^-1(0.0329) = 14.04°
Therefore, the pilot should leave the shore at an angle of 14.04° in order to go directly to the child.
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will mark as brainlest pls help
Answers
Answer:
Explanation:
one and three seem right soo answer C
What is the net force of 3N 3N 9N, describe the motion of the object
Answers
Answer:that's 16 I think Explanation:
Answer:
It is either 16 or 17
Explanation:
:)
Question Bangkok, Thailand, and Lima, Peru, are located at opposite positions of Earth's surface. When a rock is dropped in both cities, observers would describe the motion of either rock with a word that means "down. " Where are the two rocks moving? Responses One rock is moving due east and the other is moving due west. One rock is moving due east and the other is moving due west. They are moving down, which is the same direction in both cities. They are moving down, which is the same direction in both cities. They are moving away from each other. They are moving away from each other. They are moving toward each other. They are moving toward each other
Answers
In both cities, they are moving downward, which is the same direction.
What is meant by Earth's surface?The portion of the land or ocean that reaches the atmosphere above the Earth is referred to as its surface in this unit. We only come into contact with the surface of the planet. The crust is the topmost layer of rock that encircles the mantle of the planet. The entire surface of the planet, including the area below the ocean, is covered by the crust.
There exists three layers that create up the earth: the crust, the mantle, and the core. This is the outermost layer of the earth and is composed primarily of granite and basalt solid rock. Oceanic crust and continental crust are the two types. Basalt makes up the majority of the denser, thinner oceanic crust.
Our home's surface, known as the crust, is actually a relatively thin layer that is only 70 kilometres thick at its thickest. A number of "tectonic plates" make up the crust and the lithosphere underneath it (the upper mantle plus the crust).
Therefore, the correct answer is option b) They are moving down, which is the same direction in both cities.
The complete question is;
Bangkok, Thailand, and Lima, Peru, are located at opposite positions of Earth's surface. When a rock is dropped in both cities, observers would describe the motion of either rock with a word that means "down. " Where are the two rocks moving? Responses
a) One rock is moving due east and the other is moving due west.
b) They are moving down, which is the same direction in both cities.
c) They are moving away from each other.
d) They are moving toward each other.
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b) Contour lines represent areas of _________elevation
Answers
Answer:
contour lines represent areas of high elevation
A slingshot consists of a light leather cup, containing astone, that is pulled back against two parallel rubber bands. Ittakes a force of 15 N to stretch either one of these bands 1.0cm.
(a) What is the potential energy stored in the two bands togetherwhen a 50-g stone is placed in the cup and pulled back 0.20 m fromthe equilibrium position?
(b) With what speed does the stone leave the slingshot?
Answers
The answer depends on the force-distance relationship for stretching the bands and the displacement of the stone from the equilibrium position.
The force required to stretch one rubber band by 1.0 cm is 15 N. Therefore, the force required to stretch it by 0.20 m is (15 N/0.01 m) * 0.20 m = 300 N.
The potential energy stored in each rubber band is given by the formula PE = (1/2) * k * \(x^2\), where k is the spring constant and x is the displacement. Since we have two rubber bands, the total potential energy stored in the two bands together is PE = 2 * (1/2) * k * \(x^2\).
Substituting the values, where k = 300 N/m and x = 0.20 m, we can calculate the potential energy:
PE = 2 * (1/2) * (300 N/m) * \((0.20 m)^2\) = 12 J.
Therefore, the potential energy stored in the two bands together when the stone is pulled back 0.20 m is 12 J.
(b) To determine the speed at which the stone leaves the slingshot, we can use the principle of conservation of mechanical energy. At the point of release, all the potential energy stored in the bands is converted into kinetic energy of the stone.
The potential energy stored in the bands is given by PE = (1/2) * m * \(v^2,\) where m is the mass of the stone and v is its velocity.
Equating the potential energy to the initial potential energy (12 J) and solving for v, we have:
(1/2) * m * \(v^2\) = 12 J.
Substituting the values, where m = 50 g = 0.05 kg, we can solve for v:
(1/2) * (0.05 kg) * \(v^2\) = 12 J.
\(v^2\) = (12 J) / (0.025 kg) = 480 \(m^2/s^2.\)
Taking the square root of both sides, we find v ≈ 21.9 m/s.
Therefore, the stone leaves the slingshot with a speed of approximately 21.9 m/s.
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Based on observations by the Dawn spacecraft, scientists have concluded that Vesta might be:
A. the only remaining protoplanet in our solar system.
B. a planetesimal leftover from the solar system's formation.
C. a fragment of Mars.
D. one of the remnants of the planet that broke up to form the asteroid belt.
E. one of the dwarf planets in our solar system.
Answers
Based on observations by the Dawn spacecraft, scientists have concluded that Vesta might be: D. one of the remnants of the planet that broke up to form the asteroid belt.
Based on observations by the Dawn spacecraft, scientists have concluded that Vesta might be a planetesimal leftover from the solar system's formation. Vesta is one of the largest asteroids in the asteroid belt between Mars and Jupiter. Its unique characteristics and composition provide insights into the early stages of our solar system.
Dawn's data reveals that Vesta is differentiated, meaning it has distinct layers and a core, which is consistent with its formation as a planetesimal. The spacecraft detected evidence of volcanic activity, impact craters, and the presence of basaltic lava flows on Vesta's surface. These features suggest that Vesta experienced a significant amount of geologic activity in the past.
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Is this conversion correct?
11.3g/ cm^3 to kg/ m^3
Since 1000 g = 1 kg and 100 cm = 1 m
Therefore, (11.3 x 1000)/ 100
= 113 kg/ m^3
Answers
11.3 g/cm³ equals to 1130 kg/m³.
What is density?The mass of a substance per unit of volume is its density. Density is most frequently represented by the symbol ρ, however Latin letter D may also be used. Density is calculated mathematically by dividing mass by volume.
Given that 11.3 g/cm³.
Know that
1000 grams = 1 kg
1 grams = 1/1000 kg.
100 cm = 1 m
1 cm = 1/100 m.
Therefore, 1 cm³ = (1/100)³ m³
= 1/1000000 m³
Hence, 1 g/cm³ = (1/1000) ÷ (1/1000000) kg/m³
= 1000000/1000 kg/m³
= 1000 kg/m³.
Hence, 11.3 g/cm³ = (11.3 × 1000) kg/m³
= 1130 kg/m³
Hence, 11.3 g/cm³ equals to 1130 kg/m³.
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What force causes an automobile to move.
Answers
Answer:
Thrust
Explanation:
Thrust is the force that causes a car to move in the direction that it wants to.
If you could solve one of
the world's greatest problems, which one would
you choose? Why did you choose this problem to
solve?
Answers
Answer:
the pollution
Explanation:
because is making big consecuences in the world
If I could solve one of the world's greatest problems, then I would like to choose pollution problem.
I would choose the pollution problem to be solved because it affects various natural resources of the environment.
Pollution is one the biggest issue in the world these days and It is rising day by day. It affects the environment directly or indirectly.
There are various types of pollution. Some of thees are
Water pollutionAir pollutionNoise pollution.The main cause of water pollution is various toxic substances got mixed in various water resources.
Similarly Air Pollution happens because of the harmful gases and substances present in the air.
Noise pollution occurs due to the sound of machines, loud musics and sound of vehicles.
Every human being should take steps to solve the issue of the pollution.
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Please help! Just fill in the blanks! *100 pts (even tho it says 50 they take half, trust me) and I will mark brainliest! I will really appreciate if you guys finish this. Would be a pleasure. LOVE YOU GUYS FOR HELPING!
Answers
Explanation:
here's the answer, shouldn't be too hard to get the rest now!
4. f
5. t
6. t
7. t
8. f
9. t
10. f
Why does the moon show phases in the course of a month?.
Answers
I hope this was helpful ;)
Wave A has a frequency of 1.6 Hz, and Wave B has a frequency of 3.2 Hz. If Wave A has a wavelength of 1.0m, what do you expect will be the wavelength of Wave B?
OPTIONS:
A) 2.0m
B) 1.0m
C) 0.50m
D) 0.25m
Answers
Answer:
C
Explanation:
A- velocity=wavelength*frequency
velocity=1.0*1.6.......=1.6 m/s
B- wavelength=velocity/frequency
wavelength=1.6/3.2.....=0.5 meters
Why is a concave mirror is used a reflector in a torch light?
Answers
Answer:
Below:
Explanation:
A concave mirror is used as a torch reflector. ... When a light bulb is placed at the focus of a concave mirror reflector, the diverging light rays of the bulb are collected by the reflector. These rays are then reflected to produce a strong, parallel-sided beam of light.
Hope it helps...
It's Miss-Muska
10. Unless a light ray comes into contact with a surface or enters a different material, it travels in a
Answers
Unless a light ray comes into contact with a surface or enters a different material, it travels in a straight line.
When light enters a medium with a different speed or transitions from a fast to a slow medium, refraction occurs. According to Snell's law, if a light ray is incident ordinarily on the surfaces, then deviating from the normal will always lengthen the travel time.
Theoretically, sine (angle of incidence)*index of refraction of the incident media = sine (angle of refraction)*index of refraction of the refractive medium
Sine (0)=0 because the angle of incidence is 0 degrees.
As a result, the light ray will travel straight.
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somebody please help!!!
Answers
Answer: it’s E. you can’t solve without the mass
Explanation:
A baseball player dives head-first into
second base and slows down while sliding on the infield dirt.
Of the forces listed, identify which act upon the player.
1.Normal
2.Gravity
3.Applied
4.Friction
5.Tension
6. Air Resistance
Answers
Answer:
Explanation:
Discussion
The ones that are certain are
Normal GravityFrictionIf you have a normal, and the player slides into 2nd, and stops (which he must before he is tagged), then there must be friction involved. There must be gravity, or he would keep going up.
I don't think there is tension. There might be some Air Resistance, but that force is very tiny. Don't be surprised if you answer includes Air Resistance, but I won't try it to begin with.
of the following, which is the largest compartment for carbon in earth's system
Answers
Hope this helps have an excellent day!
The largest compartment for carbon in Earth's system is the deep ocean, specifically the deep-sea sediments.
These sediments contain vast amounts of organic and inorganic carbon that has accumulated over millions of years.
The amount of carbon stored in these sediments is estimated to be on the order of 40,000 billion metric tons, which is several times more than the amount of carbon stored in the atmosphere, land plants, and soils combined.
The deep ocean plays an important role in the global carbon cycle, as it serves as a long-term storage reservoir for carbon and helps to regulate the concentration of carbon dioxide in the atmosphere over long timescales.
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in a laser generator, what is found at both ends that allows for the amplification and stimulated emission of laser light?
Answers
In a laser generator, micro reflectors is found at both ends that allows for the amplification and stimulated emission of laser light.
What is laser generator?
A laser beam is produced by a laser generator that uses electrical discharges to excite a gas mixture. This kind of generator operates on the same fundamental tenet as a laser beam, which is to "pump" a medium with energy before the medium returns to its initial state and emits photons.
What is amplification?
amplification (countable and uncountable, plural amplifications) (countable and uncountable, plural amplifications) the process or outcome of enlarging, extending, or adding the act of independently increasing a quantity, particularly voltage, power, or current, or the result of doing so (physics). Gain. (Electronics)
Therefore, in a laser generator, micro reflectors is found at both ends that allows for the amplification and stimulated emission of laser light.
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How does Coulomb's law relate to test charges?
You need the test charge so it doesn't affect the answer.
Answers
Coulomb's law is a fundamental principle in electrostatics that describes the interaction between charged objects. This relationship can be described mathematically as: F=k(q1q2)/d^2, where k is a constant of proportionality, q1 and q2 are the magnitudes of the charges, and d is the distance between the charges.
It states that the force between two point charges is proportional to the magnitude of each charge and inversely proportional to the square of the distance between them.
Test charges are used to determine the magnitude and direction of the force acting on a charged object. They are chosen to be small enough that their presence does not significantly alter the original charges, so that Coulomb's law can be accurately applied to the system. By carefully measuring the force acting on the test charges, the magnitude of the original charges can be determined. This is known as the method of test charges and is an important tool in understanding the behavior of charged objects and their interactions with each other.
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