Answer:
the minimum thickness (in nm) t = 102.5 nm
Explanation:
t = thickness of the film
n = index of refraction = 1.61
m = order = 1
∝ = wavelength = 330 x 10-9 m
so we have the formula
2nt = m∝
2 (1.61) t = (1) (330 x 10-9)
then...
t = 1.025 x 10-7 m
converting...
t = 102.5 nm
1/s' = 1/f - 1/s
= 1/12 - 1/8
= 2/24 - 3/24
= 2-3/24
= - 1/24
s'= -24
M= |s'/s|
M = |24/8|
M = 3
Answer:
a) 4.65m/s
b) 59.8 N , 1.01125 N
Explanation:
a)
m = mass of the ball = 1 kg
r = length of the string = 2.0 m
h = height gained by the ball as it moves from lowest to topmost position = 2r = 2 x 2 = 4 m
v = speed at the lowest position = 10 m/s
v' = speed at the topmost position = ?
Using conservation of energy
Kinetic energy at topmost position + Potential energy at topmost position = Kinetic energy at lowest position
(0.5) m v'² + m g h = (0.5) m v²
(0.5) v'² + g h = (0.5) v²
(0.5) v'² + (9.8 x 4) = (0.5) (10)²
v' = 4.65m/s
b)
T' = Tension force in the string when the ball is at topmost position
T = Tension force in the string when the ball is at lowest position
At the topmost position:
force equation is given as


T' = 1.01125 N
At the lowest position:
force equation is given as


T = 59.8 N
C) 60 mph
I hope this helps =)