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sweet-ann [11.9K]
4 years ago
13

Which would fall with a greater acceleration in a vacuum-a leaf or a stone?

Physics
2 answers:
Anarel [89]4 years ago
6 0

Since a vacuum has no air resistance they would both fall at the same rate

hichkok12 [17]4 years ago
4 0

They would fall with the same acceleration

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A plane leaves the airport in Galisteo and flies 160 km at 66.0 ∘ east of north; then it changes direction to fly 260 km at 49.0
user100 [1]

<u>The question doesn't have any particular requirement, but we'll compute the displacement of the plane from its initial and final landing point in the pasture </u>

Answer:

\displaystyle |\vec{r}|=321.464\ km

\displaystyle \theta =-19.395^o

Explanation:

<u>Displacement </u>

The vector displacement \vec r is a measure of the change of position of a moving object. The displacement doesn't depend on the path followed, only on the final and initial positions. Its scalar counterpart, the distance, does measure the total space traveled and considers all the changes in the direction taken by the object. To find the displacement, we must add all the particular displacements by using vectors.

The plane first flies 160 km at 66° east of north. To find the vector expression of this displacement, we must know the angle with respect to the East direction or North of East. Knowing the angle East of North is 66°, the required angle is 90°-66°=34°

The first vector is expressed as

\displaystyle \vec{r_1}=\left \langle 160^o\ cos34^o, 160\ sin34^o \right \rangle

\displaystyle \vec{r_1}=\left \langle 132.646, 89.471 \right \rangle

The second displacement is 260 km at 49° South of East. This angle is below the horizontal respect to the reference, thus we use -49°.  

The second vector is expressed as:

\displaystyle \vec{r_2}=\left \langle 260\ cos(-49^o), 260\ sin(-49^o)\right \rangle

\displaystyle \vec{r_2}=\left \langle 170.575,-196.224\right \rangle

The total displacement is computed as the vectorial sum of both vectors

\displaystyle \vec{r}=\vec{r_1}+\vec{r_2}=\left \langle 132.646+170.575\right \rangle+ \left \langle89.471-196.224\right \rangle

\displaystyle \vec{r}=\left \langle 303.221,-106.753\right \rangle\ km

The magnitude of the total displacement is

\displaystyle |\vec{r}|=\sqrt{303.221^2+(-106,753)^2}

\displaystyle |\vec{r}|=321.464\ km

And the direction is

\displaystyle tan\ \theta =\frac{-106.753}{303.221}=-0.352

\displaystyle \theta =-19.395^o

6 0
3 years ago
Anyone want to be f-r-i-e-n-d-s? ^^ (You may answer for fr/ee points! &lt;3)
Nuetrik [128]

Answer:

YESSSS!

Explanation:

3 0
3 years ago
Read 2 more answers
what causes ocean water near the equator to be warmer than ocean water farther north? a. upwellings spew warm water toward the e
Burka [1]
The structure and curvature of the Earth results in beams of sunlight glancing off the equator and reaching other areas of the Earth. This means that the areas at the equator receive more energy as sun's rays hit them directly.
Therefore, the answer is C.
8 0
3 years ago
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Two small plastic spheres are given positive electrical charges. When they are 16.0 cm apart, the repulsive force between them h
Drupady [299]

Answer:

q = 7.542 x 10⁻⁷ C = 754.2 nC

Explanation:

The Coulomb's Law gives the magnitude of the force of attraction or repulsion between two charges:

F = kq₁q₂/r²

where,

F = Force of attraction or repulsion = 0.2 N

k = Coulomb's Constant = 9 x 10⁹ N m²/C²

r = distance between charges = 16 cm = 0.16 m

q₁ = magnitude of 1st charge

q₂ = magnitude of 2nd charge

Since, both charges are said to be equal here.

q₁ = q₂ = q

Therefore,

0.2 N = (9 x 10⁹ N m²/C²)q²/(0.16 m)²

(0.2 N)(0.16 m)²/(9 x 10⁹ N m²/C²) = q²

q = √(5.88 x 10⁻¹³ C²)

<u>q = 7.542 x 10⁻⁷ C = 754.2 nC</u>

7 0
3 years ago
Which Coefficients balance the following equation? ____Pb(OH)2+_____HCI—&gt; _____ H2O+______PbCl2
lorasvet [3.4K]

the answer is A it is so easy question

3 0
3 years ago
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