Around 27 satelites is used for GPS technology
Answer:
0.191 s
Explanation:
The distance from the center of the cube to the upper corner is r = d/√2.
When the cube is rotated an angle θ, the spring is stretched a distance of r sin θ. The new vertical distance from the center to the corner is r cos θ.
Sum of the torques:
∑τ = Iα
Fr cos θ = Iα
(k r sin θ) r cos θ = Iα
kr² sin θ cos θ = Iα
k (d²/2) sin θ cos θ = Iα
For a cube rotating about its center, I = ⅙ md².
k (d²/2) sin θ cos θ = ⅙ md² α
3k sin θ cos θ = mα
3/2 k sin(2θ) = mα
For small values of θ, sin θ ≈ θ.
3/2 k (2θ) = mα
α = (3k/m) θ
d²θ/dt² = (3k/m) θ
For this differential equation, the coefficient is the square of the angular frequency, ω².
ω² = 3k/m
ω = √(3k/m)
The period is:
T = 2π / ω
T = 2π √(m/(3k))
Given m = 2.50 kg and k = 900 N/m:
T = 2π √(2.50 kg / (3 × 900 N/m))
T = 0.191 s
The period is 0.191 seconds.
Probably it whould separate becase hot water departs things! Hope this helps
Answer:
The time taken for the ball to get to the batter is 0.41 s.
Explanation:
Given;
initial velocity of the baseball, u = 45 m/s
horizontal distance between the pitcher and the batter, X = 18.39 m
The horizontal distance or range of a projectile is given as;
X = ut
where;
t is the time of flight
u is the initial velocity
t = X / u
t = 18.39 / 45
t = 0.41 s
Therefore, the time taken for the ball to get to the batter is 0.41 s.
It would be spectral class M
hope this helps
