Answer:
Yes,earth has an electric field
Answer:
ω = 3.1 rad/s
θ = 36° from vertical
Explanation:
I will ASSUME that the bob and string is acting as a pendulum.
Please understand that the string will break when the bob is at the lowest point of the swing where the vectors of gravity and centripetal acceleration align. It will NOT break at the angle of maximum inclination measured from vertical. This angle is only a component of the maximum potential energy that gets converted to maximum kinetic energy at the lowest point of the swing.
At the bottom of the swing, the string must support the weight of the bob plus supply the required centripetal acceleration.
F = mg + mω²R
F/m = g + ω²R
F/m - g = ω²R
ω = √((F/m - g)/R)
ω = √((3/0.220 - 9.8)/0.40)
ω = 3.09691...
ω = 3.1 rad/s
Potential energy will convert to kinetic energy
mgh = ½mv²
h = v²/2g
R - Rcosθ = v²/2g
R(1 - cosθ) = v²/2g
1 - cosθ = v²/2gR
cosθ = 1 - v²/2gR
cosθ = 1 - (Rω)²/2gR
cosθ = 1 - Rω²/2g
cosθ = 1 - 0.40(3.1²)/(2(9.8))
cosθ = 0.804267
θ = 36.46045...
θ = 36°
The answer is False.
I hope this helps. :)
Answer:
Speed of airplane relative to air is 89.4427 m/s.
Explanation:
Given data :-
i) The aircraft flies in north direction.
ii) The speed of aircraft ( v₁ ) = 80 km/h.
iii) The wind blowing in east direction.
iv) The speed of wind ( v₂ ) = 40 km/h.
v) The angle between aircraft and wind is 90°
We have to find the speed of airplane relative to air ( v₁₂ ).
v₁₂ =
= √8000 = 89.4427 m/s.
The speed of airplane relative to air is 89.4427 m/s.
