Answer:
Explanation:
We can subtract directly the corresponding components and check using the parallelogram rule.
Explanation:
Have a look:
enter image source here
Where, graphically, I used the fact that:
→
A
−
→
B
=
→
A
+
(
−
→
B
)
For the magnitude we use Pythagoras (with the components) to get:
∣
∣
∣
→
A
−
→
B
∣
∣
∣
=
√
(
−
1
)
2
+
(
5
)
2
=
√
1
+
25
=
√
26
≈
5.1
For the direction I can see that will be
90
∘
from the
x
axis up to the
y
axis, plus the little bit passed the
y
axis given as:
θ
=
arctan
(
1
5
)
=
11.3
∘
giving in total: angle
=
90
∘
+
11.3
∘
=
101.3
∘
Answer:
The velocity of astronaut will be 0.105 m/s in opposite direction of the tool.
Explanation:
Given that,
Mass of the Astronaut, m = 68.5 kg
Mass of the the tool, m' = 2.25 kg
Speed of tool, v' = -3.2 m/s (direction is sway from space station)
It is required to find the speed of the astronaut. The momentum will remain conserved. So,
v is the speed if Astronaut
So, the velocity of astronaut will be 0.105 m/s in opposite direction of the tool.
The wavelength of sound wave with frequency 770 Hz and speed of 290 m/s is equal to 0.3767 m
<h3>
Explanation:</h3>
The wave equation determining the relationship between speed, frequency and wavelength of a sound wave is given by:
<u>Speed of sound = Frequency of sound × Wavelength of sound wave</u>
v = n × λ .................................(1)
Given:
v = Speed of sound wave = 290 m/s
n = Frequency of sound = 770 Hz
λ = Wavelength = ?
From (1)
v = n × λ
Rewriting the equation for λ, we get
λ =
Substituting the values of v and n, we get
λ =
Hence, the wavelength of sound wave is equal to 0.3767 m
The answer is Stay In Place
Answer:
About 7.5 years
Explanation:
The orbital period is proportional to the semimajor axis raised to the power of 3/2.
The orbital period is <em>also</em> inversely proportional to the square root of the sum of the masses of the sun and the asteroid; however, the sun's mass is a constant and the asteroid's mass is negligible in comparison with the sun's mass.