Explanation:
First find the displacement in the x direction:
dₓ = 449 cos 66° + 1112 cos 169° + 1571 cos 26°
dₓ = 182.6 − 1091.6 + 1412
dₓ = 503 km
Next, find the displacement in the y direction:
dᵧ = 449 sin 66° + 1112 sin 169° + 1571 sin 26°
dᵧ = 410.2 + 212.2 + 688.7
dᵧ = 1311 km
The magnitude is:
d² = dₓ² + dᵧ²
d² = (503)² + (1311)²
d = 1404 km
The angle is:
tan θ = dᵧ / dₓ
tan θ = 1311 / 503
tan θ = 2.61
θ = 69°
1404 km and 69° north of east from New Orleans is approximately Toledo.
Answer:
a) v² = G M R³, b) T = 2π /
, c) 
Explanation:
a) The kinetic energy is
K = ½ m v²
to find the velocity let's use Newton's second law
F = m a
acceleration is centripetal
a = v² / R
force is the universal force of attraction
F = G m M / r²
we substitute
G m M R² = m v² R
v² = G M R³
the kinetic energy is
K = ½ m G M R³
b) angular and linear velocity are related
v = w R
w = v / R
w = 
w =
the angular velocity is related to the period
w = 2π / T
T = 2π / w
we substitute
T = 2π /
c) the angular moeomto is
L = m v r
L = m RA G M R³ R
L =
Answer:
The difference in the phase angle between any two waves at any given position along the waves.
Explanation:
Phase difference describes the difference in the phase angle between any two waves at any given position along the waves. The equation of wave is given by :
Wave 1, 
Wave 2, 
Where
A is the amplitude of wave
is the angular frequency
is the phase difference between two waves
If 
is the path difference, it is given by :
Hence, the correct option is (a) "the difference in the phase angle between any two waves at any given position along the waves".
The correct answer is The storage and management of radioactive wastes
Explanation:
In general, nuclear reactions (changes in the nucleus of an atom such as fission) release a lot of energy including a lot of heat. Moreover, this heat is used by humans to obtain electricity and other types of energy, which is known as a nuclear power. This type of power is considered positive because it does not emit carbon and it is quite efficient.
However, in most cases, it is a threat to the environment and living beings because storing and managing the wastes of this type of power is difficult and expensive. Indeed, dealing with the wastes of nuclear power requires complex infrastructure, and any accident or leaking leads to serious consequences from the death of those exposed to the wastes to permanent loss of diversity or changes in nearby areas.
