Answer:
There you go
Explanation:
Which of the following terms represents the debate between genetic and environmental influences on behavior?
1 answer:
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Answer:
Part A
The angular speed of rotation of the plane is 8.11781 × 10⁻⁵ rad/s
Part B
The angular speed of orbit of the planet is 1.04938 × 10⁻⁶ rad/s
Explanation:
The parameters of the planet are;
The duration of a day on the distant planet = 21.5 hr.
The duration of a year on the distant planet = 69.3 Earth days
Part A
The duration of a day = The time to make one complete revolution of 2·π radians
∴ The average angular speed about its axis, = Angle turned/Time
∴ = 2·π/(21.5 × 60 × 60) s ≈ 8.11781 × 10⁻⁵ rad/s
The average angular speed of the planet about its own axis, = 8.11781 × 10⁻⁵ rad/s
The angular speed of rotation of the plane = 8.11781 × 10⁻⁵ rad/s
Part B
The time it takes the planet to revolve round the neighboring star once = 69.3 Earth days
Therefore, the average angular speed of the planet around its neighboring star, , is given as follows;
= 2·π/((69.3 × 24 × 60 × 60) s) = 1.04938 × 10⁻⁶ rad/s
The average angular speed of orbit, = 1.04938 × 10⁻⁶ rad/s
The angular speed of orbit of the planet, = 1.04938 × 10⁻⁶ rad/s.
Answer:
1.63 s
Explanation:
The skier lands on the sloped section when the direction of its velocity is exactly identical to that of the slope, so at below the horizontal.
This occurs when the magnitude of the vertical velocity is equal to the horizontal velocity (in fact, , and since
and so
.
We already know the horizontal velocity of the skier:
And this is constant during the entire motion.
The vertical velocity instead is given by
where
is the initial vertical velocity (zero since the skier flies off horizontally)
g = 9.8 m/s^2
t is the time
Here we have chosen the downward direction as positive direction.
Substituting , we find the time: