A rocket designed to place small payloads into orbit is carried to an altitude of 12.0 km above sea level by a converted airliner. When the airliner is flying in a straight line at a constant speed of 850 km/h, the rocket is dropped. After the drop, the airliner maintains the same altitude and speed and continues to fly in a straight line. The rocket falls for a brief time, after which its rocket motor turns on. Once its rocket motor is on, the combined effects of thrust and gravity give the rocket a constant acceleration of magnitude 3.00g directed at an angle of 30.0° above the horizontal. For reasons of safety, the rocket should be at least 1.00 km in front of the airliner when it climbs through the airliner’s altitude. Your job is to determine the minimum time that the rocket must fall before its engine starts. You can ignore air resistance. Your answer should include (i) a diagram showing the flight paths of both the rocket and the airliner, labeled at several points with vectors for their velocities and accelerations; (ii) an x-t graph showing the motions of both the rocket and the airliner; and (iii) a y-t graph showing the motions of both the rocket and the airliner. In the diagram and the graphs, indicate when the rocket is dropped, when the rocket motor turns on, and when the rocket climbs through the altitude of the airliner.
Answer:
Explanation:
A rocket designed to place small payloads into orbit is carried to an altitude of 12.0 km above sea level by a converted airliner. When the airliner is flying in a straight line at a constant speed of 850 km/h, the rocket is dropped. After the drop, the airliner maintains the same altitude and speed and continues to fly in a straight line. The rocket falls for a brief time, after which its rocket motor turns on. Once its rocket motor is on, the combined effects of thrust and gravity give the rocket a constant acceleration of magnitude 3.00g directed at an angle of 30.0° above the horizontal. For reasons of safety, the rocket should be at least 1.00 km in front of the airliner when it climbs through the airliner’s altitude. Your job is to determine the minimum time that the rocket must fall before its engine starts. You can ignore air resistance. Your answer should include (i) a diagram showing the flight paths of both the rocket and the airliner, labeled at several points with vectors for their velocities and accelerations; (ii) an x-t graph showing the motions of both the rocket and the airliner; and (iii) a y-t graph showing the motions of both the rocket and the airliner. In the diagram and the graphs, indicate when the rocket is dropped, when the rocket motor turns on, and when the rocket climbs through the altitude of the airliner.
7. A steel band exerts a horizontal force of 80.0 N on a tooth
at point B in Figure 7.3. What is the torque on the root of
the tooth about point A?
Gum
48.0°
A
F
1.20 cm
The torque experienced by the root of the tooth about point A when the steel band exerts the given force is 0.713 Nm.
Torque about point AThe torque experienced by the root of the tooth about point A is calculated as follows;
τ = rFsinθ
where;
F is applied forcer is the perpendicular distanceτ = (0.012) x (80) x (sin 48)
τ = 0.713 Nm
Thus, the torque experienced by the root of the tooth about point A when the steel band exerts the given force is 0.713 Nm.
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In addition to their remarkable top speeds of almost 60 mph, cheetahs have impressive cornering abilities. In one study, the maximum centripetal acceleration of a cheetah was measured to be 18 m/s2. What minimum value of the coefficient of static friction between the ground and the cheetah's feet is necessary to provide this acceleration?
coefficient of static friction is 1.7329
Explanation:
given data
velocity = 60 mph
acceleration = 17 m/s²
to find out
coefficient of static friction
solution
we will apply here centripetal force equation
that is
m×v²/r = µ × m × g ..................1
here v²/r is centripetal acceleration and m is mass and µ is coefficient static friction so
µ = a / g
µ = 17 / 9.81
µ = 1.7329
so coefficient of static friction is 1.7329
An example of a natural electric field is thunder or lightning
Answer:
Lightning
Explanation:
Lightning during a thunderstorm is an example of electrical energy. It is the visible discharge of atmospheric electricity. As lightning heats the air, it creates a shock wave that causes the sound of thunder.
hope this helps :)
A lamp is 15% efficient. How much electrical energy must be supplied to the lamp each second if it produces 30 J of light energy per second? *WILL MARK BRAINLIEST*
200 Joules should be supplied in the circuit.
Efficiency = output/inuptHere the output is 30J and input is missing
[tex]\sf \dfrac{30}{I} * 100 = 15[/tex]
multiplied with 100, to covert it into percentage
[tex]\sf 3000 = 15(I)[/tex]
[tex]\sf I = \dfrac{3000 }{15}[/tex]
[tex]\sf I = 200J[/tex]
Let that be X
Efficiency is 15% means the lamp produces 15J of light energy when 100J energy applied.[tex]\\ \rm\Rrightarrow \dfrac{30}{x}(100)=15[/tex]
[tex]\\ \rm\Rrightarrow 3000=15x[/tex]
[tex]\\ \rm\Rrightarrow x=200J[/tex]
A revolving door continues to rotate even after the person pushing it exits. Is it Newton's first law of motion, Newton's second law of motion. or Newton's third law of motion?
Answer:
Newton's third Law
Explanation:
Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
what is the centripetal acceleration of an air plug on a car tire 250 rpm raduius of 0.45 m
The magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².
What is centripetal acceleration?
Centripetal acceleration of an object is the rate of change of object's velocity with time, and it is directed inwards.
The magnitude of the centripetal acceleration of the air plug on a car tire is calculated as follows;
ac = ω²r
where;
ω angular speed (rad/s)r is radius of the tireAngular speed in radian per second[tex]\omega = 250 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} \\\\\omega = 26.18 \ rad/s[/tex]
ac = (26.18)² x 0.45
ac = 308.43 m/s²
Thus, the magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².
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An eletrical conductor is a material that allows _____ to travel through it freely
Answer:
it allows electric charges to travel through freely
A ray of light passes symmetrically through on equilateral prism of refractive index 1.5. determine
the angel of incidence for which the minimum deviation can occur
Answer:
[tex] Angle \: at \: which \: minimum \: deviation \: occur = 37.18\degree[/tex]
Explanation:
Given:
Refractive index of prism μ = 1.5
Since the prism is equilateral,
Angle of prism A= 60°
To find:
Angel of incidence for which minimum deviation can occur(δm) ?
Solution:
We know that,
The refractive index, Angle of prism and angle of minimum deviation are correlated with formula,
[tex]\mu \: = \frac{sin( \frac{A + \delta_m}{2} )}{sin \frac{A}{2} } [/tex]
Where symbols have their usual meaning.
Substituting the value from given data in formula,
[tex] \mu \: = \frac{sin( \frac{A + \delta_m}{2} )}{sin \frac{A}{2} } \\1.5\: = \frac{sin( \frac{60 + \delta_m}{2} )}{sin \frac{60}{2} } \\ {sin( \frac{60 + \delta_m}{2} )} = 1.5 \times sin30 \\ {sin( \frac{60 + \delta_m}{2} )} = 1.5 \times 0.5 \\ {sin( \frac{60 + \delta_m}{2} )} = 0.75 \\ \frac{60 + \delta_m}{2} = {sin}^{ - 1}(0.75) \\ \frac{60 + \delta_m}{2} = 48.59 \: \degree \\ \delta_m = (48.59 \times 2) - 60\degree \\ \delta_m = (48.59 \times 2) - 60\degree \\ \delta_m = (97.18 - 60)\degree \\ \delta_m = 37.18\degree[/tex]
[tex] Angle \: at \: which \: minimum \: deviation \: occur = 37.18\degree[/tex]
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Select all the correct answers.
A worker is holding a filled gas cylinder still. Which two sentences are true about the energy of the filled gas cylinder?
it has no energy because it's being held still.
It has gravitational potential energy because of its height
Its atoms and molecules have thermal energy.
0 It has motion energy because it will fall if let go.
its kinetic energy is being converted to potential energy.
Answer:
It has gravitational energy because of its height above some reference point.
It also contains thermal energy due to the motion of the contained atoms and molecules.
Answer:
b and c :)
Explanation:
List the chemicals and apparatus
Answer:
Beaker
Graduated Cylinders
Volumetric flask
Test tube
Funnel
A boat sails for 80 minutes and travels 3.6km. What was its average speed in m/s?
Answer:
Explanation:
The average speed of the boat:
[tex]\bar{v}=\frac{s}{t}=\frac{3.6}{80}=0.045[/tex] km/min
But if you want to change the unit into m/s, you only take this way:
[tex]0.045 \frac{km}{min}=\frac{0.045\times 1000}{60}=0.75[/tex] in m/s.
The average speed of the boat will be approximately 0.75 m/s.
What is Average speed?
Average speed is the rate of change of change of distance covered with time.
Given is a boat that sails for 80 minutes and travels 3.6 Km.
Distance covered by the boat [ΔD] = 3.6 Km = 3600 m
Time taken [Δt] = 80 minutes = 80 x 60 = 4800 s
Now, we can calculate the average speed using the formula -
s = ΔD/Δt
s = 3600/4800
s = 36/48
s = 0.75 m/s
Therefore, the average speed of the boat will be approximately 0.75 m/s.
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A 75-W light bulb is turned on. It has an operating voltage of 120 V. (A)How much current flows through the bulb? (B)What is the resistance of the bulb? (C)How much energy is used each second?
Required Answer:
Given:
Power (P) = 75 W Voltage (V) = 120 V(A)
As we know that,
I = P/V↠ Current = 75/120
↠ Current = 0.625 A
(B)
R = V/IHere,
R is resistanceV is Voltage, and I is current↠ Resistance = 120/0.625
↠ Resistance = 192 Ω
(C)
Energy = P × tHere,
P is power T is time↠ Energy = 75 × 1
↠ Energy = 75 J
A scientist decreases the wavelength of the light used in a double-slit experiment and keeps every other aspect the same. What will be true
about the new interference pattern seen on the screen compared to the original interference pattern? (point)
O The spacing between the bright fringes will increase.
O The spacing between the dark fringes will remain the sam
same.
O The spacing between the bright fringes will decrease.
O The spacing between the dark fringes will increase.
A scientist decreases the wavelength of the light used in a double-slit experiment and keeps every other aspect the same. The new interference pattern seen on the screen compared to the original interference pattern is the spacing between the bright fringes will increase. Thus, the correct option is A.
What is Interference pattern?Interference is the net effect of the combination of two or more wave forms or trains which are moving on intersecting or coincident paths in a medium. The effect of this pattern is that of the addition of the amplitudes of the individual waves at each point which are affected by more than one wave in the medium.
A scientist when decreases the wavelength of the light used in a double-slit experiment and it keeps every other aspect of the wave the same. The new interference pattern seen on the screen as compared to the original interference pattern is that the spacing between the bright fringes will increase.
Therefore, the correct option is A.
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Vector A points north and vector B points east. If c = B - A , then vector C points where?
Answer:
South of East
Explanation:
If vector A points north and vector B points east, then vector C, calculated as C = B - A, will point in the direction of the resultant vector when subtracting vector A from vector B. Vector C points in the northeast direction.
Since vector A points north and vector B points east, we can visualize this on a coordinate plane. Let's assume that vector A has a magnitude of 1 and vector B has a magnitude of 1 as well. Vector A would be pointing directly upward (north), and vector B would be pointing directly to the right (east).
When subtracting vector A from vector B (C = B - A), we can visualize it by starting at the tail of vector A and drawing the resultant vector to the head of vector B. The resultant vector C would be a diagonal vector pointing northeast, forming a 45-degree angle with the positive x-axis. Therefore, vector C points in the northeast direction.
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A positive charge +Q is moving to the right and experiences a vertical (upward) magnetic force. In which direction is the magnetic field?
O into the screen
O upward
O out of the screen
O to the left
O to the right
Answer:
out of the screen
Explanation:
because charge +Q is already moving upward
The denizens of a distant planet live under an atmosphere made predominantly of CO2 which is a dispersive medium while attending a concert which of the following would be true for a spectator seated in the back of a large amphitheater?
I. They would hear the low notes and high notes at different times
II. They would hear the low notes and high notes at the same time
Since the frequency of sound in a medium is constant, therefore, the concert-goers would hear the low notes and high notes at the same time.
What is a dispersive medium?A dispersive medium is a medium which spreads out or disperses a substance passing through it.
Since CO2 is a dispersive medium, it means sound waves passing through it would be dispersed based on wavelength.
The note of a sound depends on its frequency, the higher the frequency, the higher the note.
Frequency of sound is constant, therefore, the concert-goers would hear the low notes and high notes at the same time.
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Why is there two π in the formula of a mathematical pendulum (T=2π √l/g)?
Answer:
The π is from the initial formula of period T=2π/omega
Many U.S. college freshman say that "being well-off" financially is an essential life goal and that "making more money" was a very important factor in their decision to attend college. According to Abram Maslow, which meta-needs are being fulfilled by "making more money"?
Based on research by Abraham Maslow, the meta-needs which are fulfilled by "making more money" are none of the meta-needs.
What are meta-needs?According to Abraham Maslow, meta-needs are human needs that relate to beauty, knowledge and creativity.
All of these can be met without having to make more money so it stands to reason that there are no meta-needs that can be met by making more money.
The main need that is met by making more money according to Maslow is Security and it is not a meta-need.
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A standing wave of the third overtone is induced in a stopped pipe, 3 m long. The speed of sound is 340 m/s. The number of antinodes in the standing wave pattern is:
Answer:
overtone- one over the first
n skips by twos
4 antinodes
500 Hz
Explanation: Hope this helps :)
A person sitting on a pier observes incoming waves that have a sinusoidal form with a distance of 2.5 m between the crests. If a wave laps against the pier every 5.0 s, what are (a) the frequency and (b) the speed of the wave?
Remember to identity all of your data, write the equation, and show your work. Additionally, be sure you have answered both a and b of this question.
Answer:The focal length of a lens is determined by the curve of the lens and the material that the lens is made from.
Explanation:
i just took the test
The frequency is 0.25Hz and the speed of the wave is 0.4m/s.
What is frequency and speed of the wave?Wave frequency is the number of waves that pass a fixed point in a given amount of time. This equation shows how the three factors are related: Speed = Wavelength x Wave Frequency.
To find the frequency and speed of the wave.λ=1.6m,T=4s
f=1/T
f=1/4s
f=0.25Hz
The frequency of the wave is 0.25Hz
speed=fλ
speed=(0.25×1.6)m/s
speed=0.4m/s.
The speed of the wave is 0.4m/s.
The frequency is 0.25Hz and the speed of the wave is 0.4m/s.
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An unknown fluid flows at a speed of 31 m/s. Suppose the fluid has a mass of 47 kg runs at this speed. What is the fluid’s kinetic energy?
Answer:
22583.5J
Explanation:
KE=1/2 mv^2
=1/2*47Kg*(31m/s^2)
=23.5Kg * 961m/s^2
=22583.5J
Which is the correct ranking of the speed of light in a substance from fastest to *
slowest
Diamond, Glass, Water, Helium
Helium, Water, Glass, Diamond
Water, Helium, Diamond, Glass
Sugar, Diamond, Glass, Helium
Answer:
Helium, Water, Glass, Diamond
Explanation:
light travels slowest though a diamond
Radioactive isotopes can be used to find the age of rocks, fossils, or other artifacts. Carbon-14 has a half-life of 5,730 years. Suppose a sample of charcoal from a primitive fire pit contains one eighth of its original amount of carbon-14. How old is the sample?
Answer:
1/8 = (1/2)^3
This implies the sample has decayed for 3 half lives
3 * 5730 yrs = 17,200 years
A fish uses its tail fin to push against the water. The water is pushed backward, in the fish is pushed for it. Is it Newton's first law of motion, Newton's second law of motion, or Newton's third law of motion?
Answer:
it is Newton's third law of motion?
Hope This Helps
What season would Texas be having at point D?
Answer:
Almost winter so fall
Explanation:
Hope this helps! Please let me know if you want me to elaborate more or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Relative gravitational potential energy depends on gravity, mass, and height measured from the ____.
Answer:
We dont have a understandable Ansewer for this
Explanation:
10 POINTS
Which type of electromagnetic radiation is used in airport security screening?
O A. X-rays
• B. Ultraviolet radiation
• C. Gamma rays
O D. Infrared radiation
SUBMIT
Answer:
A) X-rays
Explanation:
Airport security screenings use X-rays because they can penetrate through bags to see objects that are located within that are obscured through normal view.
X- rays are used to test body in airports. Low energy waves are used to screen baggages and human body. Thus option A is correct.
What is electromagnetic radiation ?Electromagnetic spectrum is the arrangement of radiations in the order of decreasing wavelength or increasing energy and frequency. The order is radio waves, microwaves, infrared, visible, ultraviolet, x-rays and gamma rays.
x -rays are highly energetic short waves which can be easily penetrate through a body. X-ray is used in different diagnostic techniques. X-rays easily penetrate through tissues and provide the scanned images of internal parts.
In airport security screening x-rays are used to screen baggages and human bodies. High energetic waves are causing serious health risks. Hence, lower energy x-rays are used in testing.
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As water is cooled, its density increases until it reaches about
O A. 25° C
B. -2° C
O c. 4°C
O D.O°C
Answer:
4 degrees C
Explanation:
this is just a 'known'
a 50 kg boy runs at 3 m/s. how much momentum does he have
Answer:
150 kg-m/s
Explanation:
momentum = m * v
50 * 3 = 150
