Answer:

Explanation:
Since, Alex is at rest. Therefore, the speed measured by him will be the absolute speed of car P. Therefore, taking easterly direction as positive:
And the absolute velocity of Barbara's Car is given as:
Now, for the velocity of Car p with respect to the velocity of Barbara's Car can be given s follows:


(a) 764.4 N
The weight of the astronaut on Earth is given by:

where
m is the astronaut's mass
g is the acceleration due to gravity
Here we have
m = 78.0 kg
g = 9.8 m/s^2 at the Earth's surface
So the weight of the astronaut is

(b) 21.1 N
The spacecraft is located at a distance of

from the center of Earth.
The acceleration due to gravity at a generic distance r from the Earth's center is

where G is the gravitational constant and M is the Earth's mass.
We know that at a distance of r = R (at the Earth's surface) the value of g is 9.8 m/s^2, so we can write:
(1)
the acceleration due to gravity at r=6R instead will be

And substituting (1) into this formula,

So the weight of the astronaut at the spacecratf location is

Answer:
Wien peak ( λmax ) is 107.40 nm
radius of super giant is 1.086 ×
m
Explanation:
given data
temperature 27 kK
power = 100000 times of Sun
Sun radius = 6.96 × 10^8 m
to find out
Wien peak ( λmax ) and radius of supergiant (r)
solution
we will apply here first wien law to find Wien peak that is
λmax = b / t
λmax = 2.9 ×
/ 27000 = 1.0740 ×
so Wien peak ( λmax ) is 107.40 nm
and
now we apply steafay law that is
P = σ × A ×
.........................1
and we know total power output 100000 time of Sun
so we say
4πr²s
= 100000 × 4πR²s
r² = 100000 × R²
/ 
put here value
r² = 100000 × (6.96×
)² ×
/ 
r² = 1.18132 ×
r = 1.086 ×
m
so radius of super giant is 1.086 ×
m
Answer:
The phase difference between these two waves is 141.1⁰
Explanation:
The displacement of the wave is given as;

Amplitude, A = 2yₓCos(¹/₂Φ)
Since the amplitude of the combination is 1.5 times that of one of the original amplitudes = yₓ = 1.5 × A = 1.5A
A = 2(1.5A)Cos(¹/₂Φ)
A = 3ACos(¹/₂Φ)
¹/₃ = Cos(¹/₂Φ)
(¹/₂Φ) = Cos ⁻(0.3333)
(¹/₂Φ) = 70.55°
Φ = 141.1°
The phase difference between these two waves is 141.1⁰