Answer:
The magnitude = 10.30 m
The direction of the vector proceeds at angle of 119.05°
Explanation:
Given that:
A vector 
has component 
= -5 m and 
= 9 m
The magnitude of vector can be represented as:
= 
= 
= 
= 
= 10.30 m
If we make an angle 
with y- axis:
Then; tan = 
tan = 
tan = 0.555
= tan⁻¹ (0.555)
= 29.05°
Angle with positive x-axis = 90 +
= 90° + 29.05°
= 119.05°
Answer: Viendo que los aviones viajan muy raramente exactamente en la misma dirección que el para compensar continuamente tanto la dirección como la velocidad del vientoLos vientos en contra significa exactamente lo contrario; se necesita más combustible y el vuelo llevará más tiempo condiciones secas y húmedas, pero el piloto tiene la decisión final sobre si.
Galaxies are red shifted and in 1964 to scientists discovered leftover Radiation from the Big Bang
Diagram B .... light shines through at an angle
Answer: T = 472.71 N
Explanation: The wire vibrates thus making sound waves in the tube.
The frequency of sound wave on the string equals frequency of sound wave in the tube.
L= Length of wire = 26cm = 0.26m
u=linear density of wire = 20g/m = 0.02kg/m
Length of open close tube = 86cm = 0.86m
Sound waves in the tube are generated at the second vibrational mode, hence the relationship between the length of air and and wavelength is given as
L = 3λ/4
0.86 = 3λ/4
3λ = 4 * 0.86
3λ = 3.44
λ = 3.44/3 = 1.15m.
Speed of sound in the tube = 340 m/s
Hence to get frequency of sound, we use the formulae below.
v = fλ
340 = f * 1.15
f = 340/ 1.15
f = 295.65Hz.
f = 295.65 = frequency of sound wave in pipe = frequency of sound wave in string.
The string vibrated at it fundamental frequency hence the relationship the length of string and wavelength is given as
L = λ/2
0.26 = λ/2
λ = 0.52m
The speed of sound in string is given as v = fλ
Where λ = 0.52m f = 295.65 Hz
v = 295.65 * 0.52
v = 153.738 m/s.
The velocity of sound in the string is related to tension, linear density and tension is given below as
v = √(T/u)
153.738 = √T/ 0.02
By squaring both sides
153.738² = T / 0.02
T = 153.738² * 0.02
T = 23,635.372 * 0.02
T= 472.71 N
