Answer:
(i) 
, (ii) 
, (iii)
Explanation:
(i) 
and 
represent the points where particle has a velocity of zero and spring reach maximum deformation, Given the absence of non-conservative force and by the Principle of Energy Conservation, the position where particle is at maximum speed is average of both extreme positions:
(ii) Maximum accelerations is reached at and .
(iii) Greatest net forces exerted on the particle are reached at and .
(a) The speeds of the tips of both rotors; main rotor <u>178.3 m/s</u> and tail rotor <u>218.4 m/s</u>.
(b) The speed of the main rotor is <u>0.52</u> speed of sound, and the speed of the tail rotor is <u>0.64</u> speed of sound.
<h3>Linear speed of main motor and tail rotor</h3>
v = ωr
where;
- ω is the angular speed (rad/s)
- r is radius (m)
v(main rotor) = (444 rev/min x 2π rad x 1 min/60s) x (0.5 x 7.67 m)
v(main rotor) = 178.3 m/s
v(tail rotor) = (4,130 rev/min x 2π rad x 1 min/60s) x (0.5 x 1.01 m)
v(tail rotor) = 218.4 m/s
<h3>Speed of the rotors with respect to speed of sound</h3>
% speed (main motor) = 178.3/343 = 0.52 = 52 %
% speed (tail motor) = 218.4/343 = 0.64 = 64 %
Thus, the speed of the main rotor is 0.52 speed of sound, and the speed of the tail rotor is 0.64 speed of sound.
Learn more about linear speed here: brainly.com/question/15154527
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Answer:
8 km an hour (about 5mph)
Explanation:
It depends on what you are looking for because there is no unit specified, but if you want kilometers an hour then all you have to do is multiply both sides by 2.
30 x 2 = 60 (minutes)
4 x 2 = 8 (kilometers)
Hope this helped at least a little bit!
Vector resolution will be used to answer this question as the boat's velocity will have two components, one allowing it to travel across the river and the other taking it downstream.
Answer:
²₁H + ³₂He —> ⁴₂He + ¹₁H
Explanation:
From the question given above,
²₁H + ³₂He —> __ + ¹₁H
Let ⁿₐX be the unknown.
Thus the equation becomes:
²₁H + ³₂He —> ⁿₐX + ¹₁H
We shall determine, n, a and X. This can be obtained as follow:
For n:
2 + 3 = n + 1
5 = n + 1
Collect like terms
n = 5 – 1
n = 4
For a:
1 + 2 = a + 1
3 = a + 1
Collect like terms
a = 3 – 1
a = 2
For X:
n = 4
a = 2
X =?
ⁿₐX => ⁴₂X => ⁴₂He
Thus, the balanced equation is
²₁H + ³₂He —> ⁴₂He + ¹₁H
