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Alinara [238K]
2 years ago
7

A rescue helicopter wants to drop a package of supplies to isolated mountain climbers on a rocky ridge 200 m below. If the helic

opter is traveling horizontally with a speed of 70 m/s (250 km/h), (a) how far in advance of the recipients (horizontal distance) must the package be dropped? (b) Suppose, instead, that the helicopter releases the package a horizontal distance of 400 m in advance of the mountain climbers. What vertical velocity should the package be given (up or down) so that it arrives precisely at the climbers’ position? (c) With what speed does the package land in the latter case?
Physics
1 answer:
andreev551 [17]2 years ago
8 0

Answer:

a) 447.21m

b) -62.99 m/s

c)94.17 m/s

Explanation:

This situation we can divide in 2 parts:

⇒ Vertical : y =-200 m

y =1/2 at²

-200 = 1/2 *(-9.81)*t²

t= 6.388766 s

⇒Horizontal: Vx = Δx/Δt

Δx = 70 * 6.388766 = 447.21 m

b) ⇒ Horizontal

Vx = Δx/Δt ⇒ 70 = 400 /Δt

Δt= 5.7142857 s

⇒ Vertical:

y = v0t + 1/2 at²

-200 = v(5.7142857) + 1/2 *(-9.81) * 5.7142857²

v0= -7 m/s  ⇒ it's negative because it goes down.

v= v0 +at

v= -7 + (-9.81) * 5.7142857

v= -62.99 m/s

c) √(70² + 62.99²) = 94.17 m/s

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The reaction energy of a reaction is the amount of energy released by the reaction. It is found by determining the difference in
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Explanation:

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The parent had a mass of 226.02540 u, so clearly some mass has gone somewhere. The amount of the missing mass is

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which is equivalent to an energy change of

Delta E = (0.00523 u)*(931.5MeV/1u)

Delta E = 4.87 MeV

Converting  4.87 MeV to Joules

1 joule [J] = 6241506363094 mega-electrón voltio [MeV]

4 mega-electrón voltio = 6.40870932 x 10^(-13) joule

4.87 mega-electrón voltio = 7.8026035971 x 10^(-13) joule

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Mark and Balthazar are preparing to conduct neutralization reactions in which they add a base to two different solutions, citric
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An object has a position given by r = [2.0 m + (2.00 m/s)t] i + [3.0 m − (1.00 m/s^2)t^2] j, where quantities are in SI units. W
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Answer: 1 m/s

Explanation:

We have an object whose position r is given by a vector, where the components X and Y are identified by the unit vectors i and j (where each unit vector is defined to have a magnitude of exactly one):

r=[2 m + (2 m/s) t] i + [3 m - (1 m/s^{2})t^{2}] j

On the other hand, velocity is defined as the variation of the position in time:

V=\frac{dr}{dt}

This means we have to derive r:

\frac{dr}{dt}=\frac{d}{dt}[2 m + (2 m/s) t] i + \frac{d}{dt}[3 m - (1 m/s^{2})t^{2}] j

\frac{dr}{dt}=(2 m/s) i - (\frac{1}{2} m/s^{2} t) j This is the velocity vector

And when t=2s the velocity vector is:

\frac{dr}{dt}=(2 m/s) i - (\frac{1}{2} m/s^{2} (2 s)) j

\frac{dr}{dt}=2 m/s i - 1m/s j This is the velocity vector at 2 seconds

However, the solution is not complete yet, we have to find the module of this velocity vector, which is the speed S:

S=\sqrt {-1 m/s j + 2 m/s i}

S=\sqrt {1 m/s}

Finally:

S=1 m/s This is the speed of the object at 2 seconds

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Oceanographers use submerged sonar systems, towed by a cable from a ship, to map the ocean floor. In addition to their downward
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