Two aircraft leave an airfield at the same time. One travels due south at an average velocity of 85 m s 1and the second travels due east at an average velocity of 71 ms −1
. Calculate the distance between the planes after 6 hours. Give your answer in km, to the nearest km. km
Answers
Answer: 2392 kilometers.
Explanation:
To find the distance between the two aircraft after 6 hours, we can use the Pythagorean theorem because they are moving at right angles to each other (one due south and the other due east). Here's how to calculate it:
First, calculate the distance traveled by each aircraft in 6 hours.
1. Aircraft traveling south:
Distance = Velocity × Time
Distance = 85 m/s × (6 hours × 3600 seconds/hour)
Distance = 85 m/s × 21600 s
Distance = 1836000 meters
2. Aircraft traveling east:
Distance = Velocity × Time
Distance = 71 m/s × (6 hours × 3600 seconds/hour)
Distance = 71 m/s × 21600 s
Distance = 1533600 meters
Now, we have the two sides of a right triangle:
- The southbound distance is 1836000 meters.
- The eastbound distance is 1533600 meters.
We can use the Pythagorean theorem to find the hypotenuse (distance between the aircraft):
Distance = √(southbound distance² + eastbound distance²)
Distance = √((1836000 m)² + (1533600 m)²)
Distance ≈ √(3376416000000 m² + 2352089600000 m²)
Distance ≈ √(5728505600000 m²)
Distance ≈ 2391760.78 meters
Now, let's convert the distance to kilometers:
Distance ≈ 2391.76 kilometers
Rounding to the nearest kilometer, the distance between the two aircraft after 6 hours is approximately 2392 kilometers.
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Answers
F=G*m1m2/R^2
but we now that F=ma
and here accleration(a)=accleration due to gravity(g),so
force applied by earth on will also be mg
replace above F in formula by mg and solve,
F=G*mE*m/R^2 ( here mE is mass of earth and m is mass of body)
mg=G*mEm/R^2
so,
g =G*mE/R^2
F=G*m1m2/R^2
but we now that F=ma
and here accleration(a)=accleration due to gravity(g),so
force applied by earth on will also be mg
replace above F in formula by mg and solve,
F=G*mE*m/R^2 ( here mE is mass of earth and m is mass of body)
mg=G*mEm/R^2
so,
g =G*mE/R^2
Answers
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Gravitational potential energy
Explanation:
The gravitational potential energy is the energy that an object has because of its positive with respect to a certain reference level (generally assumed to be the ground level).
The magnitude of the gravitational potential energy is given by
where
m is the mass of the object
g is the strenght of the gravitational field
h is the height of the object with respect to the reference level
From the formula, we see that the higher the object is, the larger its gravitational potential energy is.
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behavioral
biological
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