Two airplanes leave an airport at the same time. The velocity of the first airplane is 650 m/h at a heading of 60.5 ◦ . The velocity of the second is 560 m/h at a heading of 85◦ . How far apart are they after 2.9 h? Answer in units of m.
Answers
Distance of A: 650 m/h * 2.9 h = 1,885 m
Distance of B: 560 m/h * 2.9 h = 1,624 m
Then, we use the cosine law to determine the distance x. The angle should be: 85 - 60.5 = 24.5°
x² = 1,885² + 1,624² - 2(1,885)(1,624)(cos 24.5°)
x = √619381.3183
x = 787 m
The distance between two airplanes that have flown in different directions for a certain period of time can be calculated using the principles of relative velocity and the law of cosines in vector operations.
Explanation:This question involves concepts of relative velocity and vector operation in physics. To find how far apart the two airplanes are after 2.9 hours, we first need to calculate how far each plane has traveled in their separate directions. The distance traveled by each airplane is calculated using the formula distance = speed x time.
For the first plane, the distance is 650 m/h x 2.9 h = 1885 m; And for the second plane, it's 560 m/h x 2.9 h = 1624 m. However, they've traveled these distances at different directions (angles). Hence, we then have to calculate the resultant distance between these two paths, which is a task of vector analysis. We'll use the law of cosines because the heading direction forms an angle between two vectors.
Using the Law of Cosines, the resultant distance, d can be found with the formula [tex]d^2 = D1^2 + D2^2 - 2*D1*D2*[/tex]cos(Δθ), where D1 and D2 are the distances traveled by each plane, and Δθ is the difference in their heading angles (85°-60.5°). Putting the distances and the angle in the formula will then give us the resultant separation between the two planes after 2.9 hours.
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Related Questions
There are many ways to increase the solubility of a solid in a liquid, but how would you decrease it?
A.
Decrease air pressure
B.
Decrease water temperature
C.
Increase air pressure
D.
Increase water temperature
Answers
__________________________________________________
What results from splitting an atomic nucleus?
2 atoms identical to the original atom are formed
2 new atoms different from the original atom are formed
2 atoms are chemically joined
1 new atom different from the original is formed
Answers
Splitting an atomic nucleus, also known as nuclear fission, results in the formation of two new atoms different from the original. These new atoms are often smaller, more stable, and radioactive.
Explanation:When an atomic nucleus is split, the process typically results in the formation of two new atoms which are different from the original atom. This process is referred to as nuclear fission. It's important to note that nuclear fission often results in atoms that are smaller and more stable than the original, but they are not necessarily identical. These new atoms are often radioactive, meaning they emit radiation. Additionally, an enormous amount of energy is usually released during the process.
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w h a t i s h e a t ????
Answers
hope this helps
A rock is dropped at the same instant that a ball at the same height is thrown horizontally. which will will have the greater speed when it reaches the ground? ball rock both will reach at the same time impossible to answer
Answers
that means they took the same time to travel the distance to the ground
however, the ball traveled farther
speed=distance (or displacement) divided by time
so the greater the distance, the greater the speed
the ball traveled faster in the same time so it traveled faster
answer is ball
A particular lever can lift a load with 80 percent efficiency. If 40 N of effort is applied 2.5 meters from the fulcrum, then what is the maximum load that can be lifted 1.5 m from the fulcrum?
A) 5333 N
B) 1920 N
C) 66.7 N
D) 53.3 N
Answers
For dynamic balance,
1.5W - 2.5F = 0
W = (2.5*F)/1.5
= (2.5*40)/1.5
= 66.667 N
Because the lever is 80% efficient, the actual maximum load that can be lifted is
0.8*66.667 = 53.3 N
Answer: D. 53.3 N
Final answer:
To find the maximum load a lever can lift given its efficiency and distances from the fulcrum, calculate the mechanical advantage, then adjust for efficiency. The maximum load with 80 percent efficiency is 53.3 N, answer D.
Explanation:
The question is about calculating the maximum load that a lever can lift, given its efficiency, the effort applied, and the distances from the fulcrum on both the effort and the resistance arms. To solve this problem, we use the concept of mechanical advantage (MA) and take into account the efficiency of the lever.
The mechanical advantage (MA) of a lever is the ratio of the effort arm length to the resistance arm length. Therefore, MA = Effort Arm / Resistance Arm. In this case, MA = 2.5m / 1.5m = 1.6667.
Since the lever is at 80 percent efficiency, the actual maximum load will be less than the theoretical maximum load. If the effort is 40 N, then theoretically, the lever could lift a load of MA × Effort = 1.6667 × 40 N = 66.667 N. Considering the 80 percent efficiency, the actual maximum load that can be lifted is 0.8 × 66.667 = 53.3 N. Therefore, the correct answer is D. 53.3 N.
After the fission of U-235 takes place, how many neutrons does the missing nucleus have?
A)
84
B)
85
C)
141
D)
143
Answers
Answer:
B) 85
Explanation:
In the nuclear fission of uranium-235, a nucleus of uranium-235 absorbs a slow-moving neutron and then decays into a nucleus of Kripton-92, a nucleus of Barium-141 (which is the missing nucleus in the figure) and three more neutrons.
Knowing that:
- Uranium has atomic number 92, so it has 92 protons
- Kripton has atomic number 36, so it has 36 protons
- Barium has atomic number 56, so it has 56 protons
We can calculate the number of neutrons in the nucleus of barium, since we know that the total number of neutrons must be conserved. We have:
- On the left side of the reaction: (235-92) neutrons of the uranium + 1 neutron absorbed = 144 neutrons
- On the right side of the reaction: (92-36) neutrons of the krypton + X neutrons of the barium + 3 neutrons = 144
So we get:
56 + X + 3 = 144
X = 85
So, the nucleus of barium has 85 neutrons.
Which of the following does notaccurately describe transistors?
A. Both NPN and PNP transistors consist of an emitter, base, and collector. B. Both NPN and PNP transistors consist of a base composed of an N-type material. C. Both NPN and PNP transistors consist of P-type and N-type material. D. Both NPN and PNP transistors operate in the same manner but with interchanged terminals and opposite directions of voltage and current.
Answers
pete is driving down 7th street. He drives 150 meters in 18 seconds . Assuming he does not speed up or down, what is his speed in meters per second ?
Answers
= 150/18
= 8.33 m/sec
hope this helps :)
Have A Nice Day!
What causes the vivid bands seen in jupiter's upper atmosphere?
Answers
The zones are the light-colored bands that are formed when the gases of Jupiter's atmosphere rise upwards.
The belts, on the other hand, are the dark-colored bands that are formed when the gases of Jupiter's atmosphere fall downwards.
The colors in these bands are formed as a results of the slight difference between their temperatures as well as the difference in the chemical composition.
How long does it take Anya to cover the distance of 5 miles if Ilya and Anya each can run at a speed of 8.70 mph and walk at a speed of 3.30 mph. They set off together on a route of length 5 miles. Anya walks half of the distance and runs the other half. Ilya Walks half of the time and runs the other half.
Answers
Only one force acts on an object. can the object have zero acceleration? can it have zero velocity? explain
Answers
An object with only one force acting can indeed have zero acceleration and zero velocity. According to Newton's first law, zero net external force on an object will maintain its state of motion, implying constant velocity (including a zero velocity) and zero acceleration.
Explanation:Yes, an object with only one force acting on it can have both zero acceleration and zero velocity. Based on Newton's first law, if the net external force acting on an object is zero, the object will maintain its state of motion. This implies it can have a constant velocity, including zero velocity. Acceleration is a measure of the change in velocity, thus, if the velocity of the object remains constant, the acceleration is zero.
For instance, consider a car parked on a flat road. The car experiences forces: gravity pulling it down and the normal force (the force exerted by the surface that opposes the weight) pushing it up. These forces are balanced, making the net force zero.
Hence, the acceleration of the car is zero, and in this case, the velocity is also zero as the car is at a standstill. However, when the car is moving at a constant speed, despite any existing forces, if they are balanced and the net external force is zero, the velocity remains constant and acceleration is zero.
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Why does metal feel colder than cardboard? Enter in complete sentences
Answers
When h2o is removed from the mixture does the equilibrium shift to the right to the left or is there no shift?
Answers
how would you calculate for the horizontal and vertical components when given the resultant and angle of elevation as 24N and 30 degrees
Answers
x-component: 24 * cos 30 deg N
y component: 24 * sin 30 deg N
An airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m. assume that the ground is level. at what horizontal distance from a target must the pilot release a bomb so as to hit the target?
Answers
To calculate the horizontal distance from a target at which a pilot must release a bomb, consider the time it takes for the bomb to hit the ground using projectile motion equations, then multiply this time by the airplane's horizontal speed.
Explanation:The question involves calculating the horizontal distance at which a pilot must release a bomb to hit a target, considering the airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m. This problem requires understanding of projectile motion, specifically the equations of motion under constant acceleration and the independence of vertical and horizontal motions. The key to solving this problem lies in determining the time it takes for the bomb to hit the ground after being released and then using this time to calculate the horizontal distance traveled.
First, to find the time (t) it takes for the bomb to fall 400 m, we use the equation of motion s = ut + 1/2 at^2, where s is the distance (400 m), u is the initial velocity (0 m/s, since the bomb is released without any initial vertical velocity), a is the acceleration due to gravity (approximated as 9.81 m/s^2), and t is the time. Solving for t gives us the time taken for the bomb to fall to the ground.
Next, since the horizontal speed of the bomb (300 m/s) remains constant (ignoring air resistance), we can calculate the horizontal distance (d) traveled by multiplying the horizontal speed by the time calculated from the first step. This gives us the horizontal distance from the release point to the target.
To summarize, by calculating the time it takes for the bomb to fall, and knowing the horizontal velocity of the airplane, we can determine the exact point at which the bomb should be released to hit the target accurately.
Why is an air mass unlikely to form over the rocky mountains of north america?
Answers
What happend to the force of gravity between two subjects if the distance between them decreases?
Answers
HELP PLEASE
Can some please clearly explain the thermal energy equation?
Q=m(Tf - Ti)C
I know that Q is change in thermal energy which is measured in joules m is mass the Ts mean change in temperature and C is specific heat.
What i want to know is how to do the equation. My book doesn't explain it well. Please take your time to explain CLEARLY my brain is dead -_- you can use illustrations or whatever but please do so CLEARLY. Thanks!
Answers
A child is riding a bike and skids to a stop. what happens to their kinetic energy?
Answers
We’re learning this in science and I’m pretty sure this is it
What is the answer to some ancient civilizations used units of measure based on the length of certain seeds. What kinds of problems might you expect with such a system?
Answers
a pebble is dropped down a well and hits the water 1.5 seconds later. using the equations for motion with constant acceleration, determine the distance from the edge of the wall to the water's surface.
Answers
Use g = 9.8 m/s² and neglect air resistance.
The initial vertical velocity of the pebble is zero.
Because the pebble hits the surface of the water after 1.5 s, therefore
h = (1/2)*(9.8 m/s²)*(1.5 s)² = 11.025 m
Answer: 11.025 m
Answer: 11.025
Explanation:
Let h = the distance from the edge of the wall to the water surface (m).
Use g = 9.8 m/s² and neglect air resistance.
The initial vertical velocity of the pebble is zero.
Because the pebble hits the surface of the water after 1.5 s, therefore
h = (1/2)*(9.8 m/s²)*(1.5 s)² = 11.025 m
If 600 J work is done in 3s what is power?
Answers
P = E / t
P is power, E is total energy transfered, and t is the time.
Now we can substitute the given values
P = 600 / 3
P = 200W
Therfoee the power is 200W
Rounded to the nearest whole number, what is the atomic mass of platinum
Answers
195
I hope this helps!
It takes _______________ energy to recycle waste aluminum (e.g., beverage cans) compared to the energy of extracting new aluminum from bauxite.
Answers
An elevator accelerates upward at 1.2 m/s 2 . the acceleration of gravity is 9.8 m/s 2 . what is the upward force exerted by the floor of the elevator on a(n) 76 kg passenger? answer in units of n.
Answers
N = ma + mg
Fa = ma = 76 x 1.2 = 91.2
Fg = mg = 76 x 9.8 = 744.8
N = 91.2 + 744.8 = 836
So, the force is 836 N.
The upward force exerted on the passenger is 836 N.
The given parameters;
acceleration of the elevator, a = 1.2 m/s²acceleration due to gravity, g = 9.8 m/s²mass of the object, m = 76 kgThe upward force on the object can be determined by applying Newton's second law of motion.
Since the elevator is ascending upwards, the force on the elevator will become greater and the passenger feels a heavier weight.
∑F = ma + mg
F = m(a + g)
F = 76(1.2 + 9.8)
F = 836 N.
Thus, the upward force exerted on the passenger is 836 N.
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A liquid retains a fixed volume regardless of the shape of the container which holds it. truefalse
Answers
The answer is true : )
Which portrays inadequate data?
A.Geoff uses another classmate’s data because he forgot to record his own experiment’s temperature readings.
B.Shelby accidentally switches steps 3 and 4 while writing her laboratory procedure.
C.Rupal determines aluminum is the most reactive metal by completing only half of her experiment.
D.Juan records the density of acetone in grams per cubic liters instead of grams per milliliters.
Answers
Answer:
the answer is c
Explanation:
took the test
if a stone with the original velocity of 0 is falling from a ledge and takes 8 seconds to hit the ground,what is the the final velocity of the stone?
Answers
v = u + at where:
v is the final velocity that we need to calculate
u is the initial velocity of the stone = 0 m/sec
a is the acceleration = 9.8 m/sec^2
t is the time = 8 seconds
Substitute in the above equation to get the final velocity as follows:
v = 0 + 9.8(8) = 78.4 m/sec
Based on the above calculations:
final velocity of the stone = 78.4 m/sec
Answer:
78.4 m/s
Explanation:
Cpu speed, also called clock speed, is currently measured in __________.
Answers
Light rays that enter the hole of a pinhole camera form _____ on the back wall of the camera.
Answers
Light rays entering a pinhole camera form an inverted image on its back wall; the idea is inverted because light travels in straight lines and doesn’t reorient upon entering the pinhole.
Explanation:
Light rays that enter the hole of a pinhole camera form an inverted image on the back wall of the camera. This occurs as the light rays from an object diverge, and only a tiny portion of these rays enter the pinhole, causing them to form an image. Notably, this image is flipped upside down - or inverted - because light travels in straight lines, and the rays do not reorient themselves after entering the pinhole. An important aspect to understand is that these rays do not cross each other upon entering the pinhole, thereby ensuring the formation of a clear and inverted picture on the back wall of a pinhole camera. This is fundamentally akin to how light enters the human eye to form an image on the retina, where a similar effect is also observed, resulting in the need for the brain to flip the image right-side up for us to perceive our surroundings correctly.
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