Physics, 03.07.2019 10:10 millerbe1228

Apackage of supplies is to be dropped from an airplane so that it hits the ground at a designated spot near some campers. the airplane, moving horizontally at a constant velocity of 130 km/h, approaches the spot at an altitude of 0.520 km above level ground. having the designated point in sight, the pilot prepares to drop the package. (a) what should the angle be between the horizontal and the pilot's line of sight to the drop point when the package is released? (neglect air resistance)

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Refer to the diagram below.

Note that
Air resistance is ignored.
g = 9.8 m/s²
1 km = 1000 m
1 km/h = 0.2778 m/s

The horizontal velocity is
u = 130 km/h = 130*0.2778 = 36.111 m/s
The height is
h = 0.520 km = 520 m

Let the angle of sight be x.
Then tan(x) = h/d
d = hcot(x) = 520 cot(x) m

The time of flight is
t = d/u
= [520 cot(x)]/36.111
= 14.4 cot(x) s

Therefore, for the vertical drop,
(1/2)*g*t² = h
0.5*9.8*[14.4 cot(x)]² = 520
1016.064 cot²x = 520
cot(x) = 0.7154
x = cot⁻¹ 0.7154 = 54.4°

The angle is 54.4° (nearest tenth)
Apackage of supplies is to be dropped from an airplane so that it hits the ground at a designated sp

Apackage of supplies is to be dropped from an airplane so that it hits the ground at a designated sp

Answer from: Quest

Acetic acid /əˈsiːtɪk/, systematically named ethanoic acid /ˌɛθəˈnoʊɪk/, is a colourless liquid organic compound with the chemical formula ch3cooh (also written as ch3co2h or c2h4o2). when undiluted, it is sometimes called glacial acetic acid. vinegar is no less than 4% acetic acid by volume, making acetic acid the main component of vinegar apart from water. acetic acid has a distinctive sour taste and pungent smell. in addition to household vinegar, it is mainly produced as a precursor to polyvinyl acetate and cellulose acetate. it is classified as a weak acid since it only partially dissociates in solution, but concentrated acetic acid is corrosive and can attack the skin.acetic acidnamespreferred iupac nameacetic acidsystematic iupac nameethanoic acidother namesvinegar (when dilute); hydrogen acetate; methanecarboxylic acid[1][2]identifierscas number64-19-7 3d model (jsmol)interactive image3dmetb00009 reference506007chebichebi: 15366 chemblchembl539 chemspider171 drugbankdb03166 echa infocard100.000.528ec number200-580-7e numbere260 (preservatives)gmelin reference1380iuphar/bps1058keggd00010 meshacetic+acidpubchem cid176rtecs numberaf1225000uniiq40q9n063p un number2789inchiinchi=1s/c2h4o2/c1-2(3)4/h1h3,(h,3,4) key: qtbsbxvteameqo-uhfffaoysa-n smilescc(o)=o

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.