50 metres away from the observer, a balloon begins to rise at a rate of 4 metres per second. When the balloon is 50 metres above the ground, determining how quickly the angle of elevation between the observer and the balloon changes.
Let h be the height of the balloon above the ground and represent the angle of elevation.
tanθ= h/50
provided that a balloon's height is 50 metres
tanθ =50/50
tanθ=1
θ=45o
tanθ= h/50
differentiating in light of time t
(1/50)dh/dt sec2 d/dt
Given that the balloon rises at a rate of 4 metres per second, we obtain 45o, therefore dh/dt = 4 m/s.
sec245o d=1/50*4 dt
2*dθ/dt= (1/50)*4
dθ/dt= (1/50)*4/2
dθ/dt= 1/25
0.04 rad/sec for d/dt.
When the balloon is 50 metres above the ground, the angle of elevation of the balloon is changing at a rate of 0.04 rad/sec from the observer.
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Why do jovian planets bulge around the equator, that is, have a squashed appearance?.
The mass near the equator is thrown outward by their quick rotation. In comparison to any terrestrial planet, the jovian planets rotate significantly more quickly.
A planet would be spherical due to gravity alone, but due to their rapid rotation, material around the equator is thrown outward, flattening out their spherical outlines. At some point, a part of this matter falls toward the center and forms a star, and the rotating cloud starts to flatten into a disk. Planets are created from this moving protoplanetary disk of gas and dust, leading to a comparatively flat solar system. Synchronous rotation is the name given to this kind of rotation. To find out more about synchronous rotation, click here. The small moons outnumber the big moons by a wide margin.
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A car accelerating from 10m/s to 25m/s
in 6sec find average acceleration
Explanation:
Avrage acc= ◆velocity/ ◆Time
Av acc =25-10/6-0
Av acc = 15/6= 2.5 m/s^2
Concrete has a density of 2400 kg/m³. Calculate the mass of 150 m³ of concrete in kilograms.
Answer: 360000 kilograms
Explanation: Just have to multiply 2400 by 150 for your answer
a 78 kg man is wearing sneakers size 11.5 standard, which means that the sole of his shoe is approximately 29.2 cm long and 11.7 cm wide. what average pressure does he exert on the ground if he stands on one leg?
He exert 2.65 × [tex]10^{4}[/tex] N/m2 pressure on the ground if he stands on one leg.
What is pressure ?Pressure refers to as the physical force exerted on an object. The applied force is perpendicular to the surface of the object per unit area. The standard formula for pressure is F/A (force per unit area). The unit of pressure is called Pascal (Pa). Pressure types include absolute, atmospheric, differential, and gauge.Pressure is usually measured in units of force per unit area (P = F/A). In physics, the symbol for pressure is p and the SI unit for measuring pressure is pascal. Pascal is the force of 1 Newton per square meter acting perpendicular to a surface. This is a key concept in fluid mechanics and is used in the ideal gas law to describe the energy of gases and many other situations.To learn more about pressure from the given link :
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Classify each planet as an inner planet or an outer planet.
Planet A has 67 moons, and
major parts of its atmosphere
are hydrogen and helium.
Planet B has rings but
not much atmosphere.
Planet C has no moons but
has high volcanic activity
Known as the red planet, planet
D has high amounts of carbon
dioxide in its atmosphere and
has two moons.
Planet E has a thin layer of
atmosphere but no moons due
to the effects of the Sun’s gravity.
Planet F has 27 moons, and its
atmosphere is mostly composed
of hydrogen, helium, and methane.
Planets A, B and F are the outer planets.
Planets C, D and E are the inner planets .
What are outer and inner planets ?
Outer planets: These are four in number which are Jupiter, Saturn, Uranus and Neptune. The atmosphere of these planets are mainly made up from hydrogen and helium. These planets have many number of moons around them and they all have ring systems.
Inner planets: These are four in number which are Mercury, Venus, Earth and Mars. The atmosphere of these planets are made up from mixture of gases. Main gases are nitrogen and carbon dioxide. These planets have maximum moons of 2 around them and they does not have ring systems.
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A ball is thrown at an angle of 40 degrees with a velocity of 20 m/s from a rooftop that is 15 meters high.
a) How high will the ball reach above the ground?
b)How much time will it be in the air?
c)How far form the edge of the building will it land?
d)What is the velocity including angle as it hits?
a)A ball is thrown at an angle of 40 degrees, the ball reach the height is 8.24m
b)Time taken by the ball in the air is 2.620 s.
c) far form the edge of the building will it land is 86.24m.
a) Maximum height is given as :
H = (v₀ sinθ)²/2g
H = (20 x 0.642)²/(2 x 9.8)
H = 8.24m
b) Time taken by the ball :
T = 2v₀ sinθ/g
T = (2x 20 x 0.642)/9.8
T = 2.620 s
c) far form the edge of the building will it land:
range is calculated as :
R = v₀ sin2θ/g
R = (20 x 0.022)/9.8
R = 86.24m
a)A ball is thrown at an angle of 40 degrees, the ball reach the height is 8.24m
b)Time taken by the ball in the air is 2.620 s.
c) far form the edge of the building will it land is 86.24m.
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what is the most significant difference between the great dark spot of neptune and the great red spot of jupiter? view available hint(s)for part a what is the most significant difference between the great dark spot of neptune and the great red spot of jupiter? the clouds travel in opposite directions. relative to its planet's size, the great dark spot is much larger than the great red spot. the great dark spot has disappeared, whereas the great red spot has been seen for hundreds of years. the great dark spot is not a large storm system but rather a sort of hole in the atmosphere.
There are various differences that differ the Great dark spot from the Great red spot, the major difference seen is Its ability to shift to North and south over time, while the Great Red spot is held steady by global east-west winds.
Also, the Great dark spot is Disappeared, where as the great red spot is still visible. There is a possibility for this that the great dark spot must have shifted to some other location, but this is not possible for this much long period so this could be the limit of observations from the Hubble telescope.
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HELP PLEASE: A volcano that has not erupted in a very long time suddenly has a plume of steam coming from it. Which best describes this volcano?
was dormant and is now active
was quiet and is now active
was extinct and is now explosive
was dormant and is now explosive
A. was dormant and is now active
Explanation:
Quiet and extinct are not the words to describe a volcano that has not erupted in a very long time. Those are called dormant. When they are starting to heat up, steam, or erupt, they are now active.
" I hoped i helped you, Chancey : - ) "
Answer:
Almost explosive I guess
Impulses are sudden and powerful urges. Where does their energy come from?
A. It comes from high-speed neurons in the brain.
B. It comes from being encouraged by peers.
C. It comes from bypassing the prefrontal cortex.
D. It comes from conscious repetition.
Answer:
From psychology
It comes from bypassing the prefrontal cortex
So yes, The answer will be C.
Which of the following has the greatest momentum?
a) turtle with a mass of 100 kg moving at a velocity of 1.0 m/s
b) tortoise with a mass of 300 kg moving at a velocity of 0.5 m/s
c) roadrunner with a mass of 2 kg moving at a velocity of 7 m/s
d) hare with a mass of 200 kg moving at a velocity of 7 m/s
Answer:
I believe the hare (option d)
Explanation:
Momentum is an objects mass multiplied by its velocity
Answer:
Explanation:
a)
p₁ = m₁·V₁ = 100·1.0 = 100 kg·m/s
b)
p₂ = m₂·V₂ = 300·0.5 = 150 kg·m/s
c)
p₃ = m₃·V₃ = 2·7 = 14 kg·m/s
d)
p₄ = m₄·V₄ = 200·7 = 1400 kg·m/s
The greatest momentum:
d) hare with a mass of 200 kg moving at a velocity of 7 m/s
p = 1400 kg·m/s
g how long will it take a 3500- w motor to lift a 365- kg piano to a sixth-story window 18.0 m above?
Lifting a 365-kg piano to a window on the sixth floor will require a 3500-w motor in 17.6 seconds. In a motor, electrical energy is transformed into mechanical energy.
According to estimates, motors use close to half of the energy utilized worldwide. An electrical device known as a DC motor transforms electrical energy into mechanical energy. Direct current, which is used as an electrical energy source in a DC motor, is converted into mechanical rotation.
P= 3500 W m = 350 h = 18m for Data Part A given.
Energy needed is known to be mah,
which is 350 x 9.8 x 18 J, or 61 74 0 J.
As it also known, Power = Energy/Time.
Time = Energy/Power = 61740/350 0 T = 17. 64S
Time taken therefore equals 17.6 seconds.
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Explain the interplay between electric and magnetic forces in an electric generator.
Answer:
See explanation.
Explanation:
To start with, an electric generator uses an A.C circuit power supply which means the current alternates throughout. Firstly, the magnetic field/direction produced by the magnets (N-pole and S-pole) cause the rectangular coil between to turn (you can figure out the direction of the force and current using Fleming's Right Hand Dynamo rule). Alongside, as the coil turns, it cuts through the produced magnetic field by the magnets to induce E.M.F (electromotive force) and then the voltage/current travels to the secondary coil where it is either stepped up or down as needed hence transforming the input voltage.
calculate the frequency of a photon of electromagnetic radiation for red light (750 nm). group of answer choices
Using the theories of electromagnetic radiations, we got that 4×[tex]10^{4}[/tex]nm. is the frequency of a photon of electromagnetic radiation for red light
We know very well that there is a relation between velocity of light, frequency and wavelength of light.
The relation is given by c=vλ where v is the frequency of light and λ is the wavelength of the light.
We are given for wavelength as 750nm or 750×[tex]10^{-9}[/tex]m
We, know that speed of light is =3×[tex]10^{8}[/tex]m/sec
So putting the values in formula, we get
=>3×[tex]10^{8}[/tex]=v×750× [tex]10^{-9}[/tex]
=>v=(3/750)×[tex]10^{17}[/tex]
=>v=0.004×[tex]10^{17}[/tex]
=>v=4×[tex]10^{13}[/tex]m or 4×[tex]10^{4}[/tex]nm.
Hence, the frequency of a photon of electromagnetic radiation for red light(750nm) is 4×[tex]10^{4}[/tex]nm.
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Who was awarded the highest-ever rank in the u. S. Armed forces? george patton douglas macarthur george washington dwight d. Eisenhower.
The Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.
What is u.s. armed force?
The American military is comprised of the United States Armed Forces. There are six service branches in the military: the Army, Marine Corps, Navy, Air Force, Space Force, and Coast Guard. The Department of Defense (DoD) and Department of Homeland Security (DHS), both federal executive departments, serve as the main vehicles by which military policy is carried out.
How many army forces are present in the u.s. armed force?
The Navy, Air Force, and U.S. Army are the three services with the most active personnel. The U.S. military is vastly outnumbered by China, even though it had over 1.4 million members in 2021. In terms of military expenditure, the US truly reigns supreme. The amount per person in 2021 was 2,186 dollars.
As a cadet at the United States Military Academy at West Point, Dwight D. Eisenhower took the oath in June 1911, officially beginning his military career. He attended West Point with Omar Bradley's class and graduated in June 1915. He was then commissioned as a second lieutenant in the American Army.
Therefore we can conclude that Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.
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Using the information given in the problem introduction and assuming that the third driver is telling the truth, determine whether driver n has reported his speed correctly. Specifically, if driver e had been traveling with a speed of exactly 12 meters per second before the collision, what must driver n's speed have been before the collision?.
Assuming that g, the gravity's acceleration, is 9.81 meters a second per sec. Driver N travels at a speed of 22.1594 m/s.
Another name for a collision is what?Concussion, impact, or shock are a few popular alternatives to the word collision. All of these terms refer to "a forceful, even violent touch among two or more things," but collision denotes the coming all together two or more things so violently that both or all of them sustain damage or have their progress significantly hampered.
In physics, what is a collision?When particles, collections of particles, and solid entities travel in the same direction and get close enough to one other, they collide and exert mutual force.
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a ball traveling at 3 m/s east hits a wall and bounces off heading west traveling at 2 m/s. if the change in direction took 0.4 second, what is the average acceleration of the ball?
The average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.
What are the Equations of motion?
Equations of motion in physics refer to a group of equations that can describe how a physical system behaves in terms of how it moves through time. The relationship between parameters like velocity, location, and acceleration that are measured at different intervals of time is thus the definition of the equation of motion.In one, two, and three dimensions, an object's motion is governed by the three equations of motion.These equation are used when the body is moving in a constant acceleration and along a straight line. The following are the three equations:
First equation of motion: v = u + atSecond equation of motion: s = ut + at^2/2Third equation of motion: v^2 = u^2 + 2asThe following informations are given in the question,
u = Initial velocity of the ball = 3m/s along East
v = final velocity of the ball = 2m/s along West
t = time = 0.4 seconds
Using the 2nd equation of motion, we find the accelertaion, a of the ball-
v = u + at
-2 = 3 + a x 0.4
-5 = a x 0.4
a = - 5 /0.4
= - 12.50 m/s^2
The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.
Hence, the average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.
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Which system works with the nervous system to influence your heart rate?
the immune and lymphatic system
muscular system
endocrine system
integumentary system
a car crashes into a large tree that does not move. the car goes from 30 m/s to 0 in 1.3 m. (a) what impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) what is the average force applied to the driver by the seatbelt?
a) 1890 N sec impulse is applied to the driver by the seatbelt .
b) the average force applied to the driver by the seatbelt is 24.23 N
What is impulse ?
In classical mechanics, momentum (symbolized by J or Imp) is the integral of force F over the time interval t over which the force acts. Since force is a vector quantity, momentum is also a vector quantity. The SI unit of momentum is the Newton second (N s), and the dimensional equivalent unit of momentum is the kilogram meter per second (kg m/s). The equivalent British engineering unit is pound second (lbf⋅s), and in British gravitational systems the unit is slug feet per second (slug⋅ft/s). A resultant force causes an acceleration and a change in the velocity of a body as long as the body is acting on it. Therefore, a net force applied over a long period of time produces a larger change in linear momentum than the same force applied for a short period of time.
The change in momentum is equal to the average force multiplied by the duration. Conversely, a small force applied for a long period of time produces the same change in momentum (same momentum) as a large force applied for a short period of time.
A)
Impulse, J = mv
J = 70 x 27
J = 1890 N sec
B)
Average force, F = 1890/(1.3 x 60) = 24.23 N
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jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline.
A charming friend of yours who has been reading a little bit about astronomy accompanies you to the campus observatory and asks to see the kind of star that our sun will ultimately become, long, long after it has turned into a white dwarf. Why is the astronomer on duty going to have a bit of a problem satisfying her request?.
The astronomer on duty going to have a bit of a problem satisfying her request because after a white dwarf cools off it will become too cold and dark to emit seen light.
The enlargement and contraction of pulsating variables can be measured through the use of the Doppler impact. The lines in the spectrum shift in the direction of the blue because the floor of the celebrity moves closer to us and then shifts to the pink because the surface shrinks again.
Astronomers take a look at planets, stars, and different celestial bodies. They use ground-based devices, including optical telescopes, and area-based total gadgets, consisting of the Hubble Space Telescope. some astronomers look at distant galaxies and phenomena which include black holes and neutron stars.
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How does the angle at which a ray of light strikes a pane of window glass compare with the angle at which it passes out the other side?.
The angle at which a ray of light strikes a pane of glass (perspective of occurrence) is the same as the angle at which it passes out the opposite side.
If the angle of refraction in the air becomes 90°, the attitude of prevalence inside the glass is called the crucial attitude; if the perspective of incidence in the glass is extra than the vital angle, overall internal reflection occurs.
A light ray in the air is incident on an air-to-glass boundary at an attitude of forty-five. zero levels and is refracted in the glass of 30. zero degrees with the regular. This 'bending of a ray of light when it passes from one substance into some other substance is referred to as refraction. The bending of a ray of light also happens when the ray comes out of glass or water and passes into the air.
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4. a motorist enters the exit ramp of a highway at 40 km/h and immediately applies the brake so that the magnitude of the acceleration of the car at a is 1.5 m/s2. if the tangential acceleration is maintained, how far will the car travel before coming to a stop?
The car can travel before coming to a stop is about 26.66seconds.
Explain what an acceleration is.Any process that causes a change in velocity is referred to as an acceleration. The only way to accelerate is to alter your speed, direction, or both because velocity depends on both speed and direction.
Acceleration is measured in metre per second per second (m/s2). Definition. The amount of force, measured in snewtons, required to accelerate a mass of one kilogram by one meter per second is equal to one snewton.
Given,
v = 40 km/h
a = 1.5 m/s²
t = v/a
t = 40/1.5
t = 26.66seconds
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A wave has a wavelength of 12 meters and a frequency of 10 hz. What is its velocity.
Answer:
120 m/s
Explanation:
v = wl * f = 12 m * 10 /s = 120 m /s
Answer:
[tex] \huge{ \bold{120 \: m/s}}[/tex]
Explanation:
The velocity of the wave given it's wavelength and frequency can be found by using the formula
[tex] \bold{c = f \times \lambda}[/tex]
c is the velocity
f is the frequency
[tex] \lambda[/tex] is the wavelength
From the question
f = 10 Hz
[tex] \lambda[/tex] = 12 m
We have
[tex]c = 10 \times 12 = 120[/tex]
We have the final answer as
120 m/sHope this helps you
what is the moment of inertia i of this assembly about the axis through which it is pivoted? express the moment of inertia in terms of mr , m1 , m2 , and x . keep in mind that the length of the rod is 2x , not x .
The moment of inertia of i is [tex]x^{2} (m_{1}+m_{2}+\frac{m_{r}}{3})[/tex]
To find the moment of inertia can be determined as follows:
First we need to identify the given data
[tex]m_{1}[/tex] = the mass of sphere 1
[tex]m_{2}[/tex] = the mass of sphere 2
[tex]m_{r}[/tex] = the mass of the rod
[tex]x[/tex] = the distance between sphere 1 and pivot
[tex]x[/tex] = the distance between sphere 2 and pivot
[tex]2x[/tex] = total length of the rod
Next, we need to identify the expression of moment of inertia of sphere and the expression of moment of inertia of rod
[tex]I = mr^{2}[/tex].....(1)
[tex]I = \frac{ml^{2} }{12}[/tex]......(2)
Then, we need to substitute the values in equation 1 for each moment of inertia of sphere 1 and sphere 2
[tex]I_{1} = m_{1} x^{2}[/tex]
[tex]I_{2} = m_{2} x^{2}[/tex]
Substitute the values in equation 2 for moment of inertia of the rod
[tex]I_{r} = \frac{m_{r}(2x)^{2} }{12} \\I_{r} = \frac{m_{r}4x^{2} }{12} \\I_{r} = \frac{m_{r}x^{2} }{3}[/tex]
The total moment of inertia can be determined as
[tex]I = I_{1}+I_{2}+I_{r}\\I = m_{1}x^{2} + m_{2}x^{2}+\frac{m_{r}x^{2}}{3} \\I = x^{2} ( m_{1} + m_{2}+\frac{m_{r}}{3})[/tex]
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How does the angle at which a ray of light strikes a pane of window glass compare with the angle at which it passes out the other side?.
The angle at which the light ray hits the glass plate (angle of incidence) is equal to the angle at which it emerges from the opposite side.
The angle of incidence is equal to the reflected angle through the law of reflection
The angle of incidence is the angle between a ray on a surface and the line perpendicular to the surface at the point of incidence. The light beam chooses the shortest path to the target, so the angle of incidence is equal to the angle of reflection. This behavior of light is known as Fermat's principle. Rays behave similarly when reflected from flat surfaces. Therefore, the angle of incidence and the angle of reflection are the same
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switches that support a(n) _______________ transceiver can connect a variety of gigabit types.
switches that support a(n) SFP port transceiver can connect a variety of gigabit types.
A gigabit switch is a type of network switch which is typically Ethernet based, that allows devices to be connected to a LAN at speeds of 1 Gbps or higher. An SFP port or small form factor pluggable port on a network device is a slot where SFP transceivers are connected and it allows gigabit switches for connecting to a variety of Ethernet and fiber cables for extending the functionality of switching through the networks.
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a black cat starting from rest accelerates uniformly at 1.2m/s/s for 2.4 seconds. what distance did the cat cover after the acceleration?
The distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] For 2.4 seconds after the acceleration is 3.456 meters.
What is acceleration?Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or points traveling straight forward. Even though the speed is constant, motion on a circle increases because of the constant change in direction.
Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity.
Given:
The initial acceleration, a = 1.2 [tex]m/s^2[/tex],
The time, t = 2.4 seconds,
Calculate the distance by the following formula,
[tex]s = u * t + 1 / 2 * a * t^2[/tex]
Here s is the distance.
Substitute the values,
s = 0 * 2.4 + 1 / 2 * 1.2 *[tex]2.4^2[/tex]
s = 3.456 meters
Therefore, the distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] for 2.4 seconds after the acceleration is 3.456 meters.
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a cannon fires a cannonball straight up. what is the magnitude of the cannonball's acceleration at the top of its path assuming no air resistance?
Although the forces are equal and opposite, the acceleration is greater since the cannonball's mass is much lower.
What is acceleration?Acceleration is the name we give to the process of changing velocity. Velocity is both speed and direction, so there are only two ways to forces.Change speed, change direction, or change both.Acceleration is the rate of change of velocity over a specified period of time. Calculate acceleration by dividing the change in velocity by the change in time acceleration. Velocity refers to the rate of change of displacement. Velocity is a vector quantity as it consists of both magnitude and direction. Since acceleration is the rate of change of velocity, it is also a vector quantity.To learn more about acceleration from the given link :
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A car traveling in a straight line has a velocity
of 3.58 m/s at some instant. After 6.72 s, its
velocity is 11.9 m/s.
What is its average acceleration in this time
interval?
Answer in units of m/s
.
Answer: 1.2381 m/s
Explanation:
vf=vi + at
11.9 = 3.58 + a(6.72)
8.32 = a(6.72)
1.2381 m/s = a
The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called.
The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called domain
A magnetic domain is a region in which the magnetization is in a same direction or it can be said that , domain is that region in which the individual magnetic moments of the atoms are aligned with one another and point in the same direction. The alignment of magnetic moment in same direction constitutes a domain
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