Answer:
11:1
Explanation:
At constant acceleration, an object's position is:
y = y₀ + v₀ t + ½ at²
Given y₀ = 0, v₀ = u, and a = -g:
y = u t − ½g t²
After 6 seconds, the ball reaches the maximum height (v = 0).
v = at + v₀
0 = (-g)(6) + u
u = 6g
Substituting:
y = 6g t − ½g t²
The displacement between t=0 and t=1 is:
Δy = [ 6g (1) − ½g (1)² ] − [ 6g (0) − ½g (0)² ]
Δy = 6g − ½g
Δy = 5½g
The displacement between t=6 and t=7 is:
Δy = [ 6g (7) − ½g (7)² ] − [ 6g (6) − ½g (6)² ]
Δy = (42g − 24½g) − (36g − 18g)
Δy = 17½g − 18g
Δy = -½g
So the ratio of the distances traveled is:
(5½g) / (½g)
11 / 1
The ratio is 11:1.
Answer:
0.28802
2.57162 W
14.28 W
53.55 W
6.07142 W
Explanation:
R = 280Ω
L = 100 mH
C = 0.800 μF
V = 50 V
ω = 10500rad/s
For RLC circuit impedance is given by
Power factor is given by
The power factor is 0.28802
The average power to the circuit is given by
The average power to the circuit is 2.57162 W
Power to resistor
Power to resistor is 14.28 W
Power to inductor
Power to the inductor is 53.55 W
Power to the capacitor
The power to the capacitor is 6.07142 W
Answer:
a. The angle at which the goose must be travelling relative to the north-south direction is 210°
b. 6.35 h
Explanation:
Part A
At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground
Adding vectorially v₁ = v₂ + v₃ where v₁ = velocity of goose relative to ground, v₂ = velocity of wind relative to ground and v₃ = velocity of goose relative to air.
So v₁ = √(100² - 50²) = √(10000 - 2500) = √7500 = 86.6 km/h
The angle between the relative velocity of goose to wind and goose to ground is cosθ = velocity of goose to ground/velocity of goose relative to wind = 86.6km/h/100km/h = 0.8660
θ = cos⁻¹0.8660 = 30°
So, the angle at which the goose must be travelling relative to the north-south direction is 180° + 30° = 210°
Part B
How long will it take the goose to cover a ground distance of 550 km from north to south?
Since the velocity of goose relative to ground = 86.6 km/h,
Since time = distance/speed = 550 km/86.6 km/h = 6.35 h
The answer is the second option "Protons determine the atom's identity (type of element) and where it is located on the periodic table." Protons determine the element if the number of protons kept changing then the element would keep changing and there would be no use for the periodic table. Electrons have the same amount of protons and neutrons are determined by subtracting the atomic mass to the atomic number.
Hope this helps!