Answer:
Please see below as the answer is self - explanatory
Explanation:
a) 10³ = kilo (kilogram = 10³ grams, kilometer= 10³ meters)
Symbol : k.
b) 10⁻² = centi (it is the 100th part of a unit, like centimeter, or centigram) Symbol: c.
c) .1 = deci (it is the tenth part (deci comes from the word that means "ten"in latin) of a unit: decimeter, decigram)
Symbol: d.
d) 10⁻3 = mili (it is a 1000th part of a unit: milimeter, miligram), the name comes from the word used in latin to mean "one thousand".
Symbol: m
e) 1,000,000 = 10⁶ = mega (megawatt)
Symbol: M
f= 0.000001 = 10⁻6 = micro (micrometer, microsecond),
Symbol: μ.
Answer:
The angle from the vertical is 48.72°
Explanation:
Given :
Length of rope m
Mass of man Kg
Mass of car Kg
Velocity of car
According to conservation law,
Potential energy of man is converted to kinetic energy of car moving,
We calculate height,
( ∵ )
m
This is the distance of the rope at the bottom,
So we take difference of it.
⇒
We can calculate angle between them,
48.72°
Therefore, the angle from the vertical is 48.72°
Answer:
a) N = 9 Mg
, b)N_w = μ 9M
, c)
Explanation:
a) For this part we write the equations of trslacinal equilibrium
Axis y
N - Mg - 8M g = 0
N = 9 Mg
N = 9 11 9.8
N = 970.2 N
b) the force on the horizontal axis (x) som
fr -N_w = 0
fr = N_w
friction force is
fr = μ N
N_w = μ 9M
g
fr = 0.59 970.2
fr = N_w = 572,418 N
c) For this part we must use rotational equilibrium.
Στ = 0
We set a frame of reference at the bottom of the ladder and assume that the counterclockwise acceleration is positive
the weight of it is at its midpoint (L / 2)
- W L /2 cos 54 - 8M d_max cos 54+ NW L sin 54 = 0
8M d_max cos 54 = - W L / 2 cos 54 + NW L sin 54
d_max = L (-Mg 1/2 cos 54 + NW sin 54) / (8M cos 54)
d_max = L (-g / 16 + μ 9Mg / 8M tan 54)
d_max = L ( 9/8 μ g tan 54- g/16)
Hertz, which is a unit for frequency (f), also means 1/second. Hence, the speed (S) of wave is the product of its wavelength (n) generated per second (frequency). The speed of the given wave above is,
S = nf ; S = (45 m) x (9 / s) = 405 m/s
Hence, the speed of the wave is 405 m/s.