The orbit of a space shuttle is surprisingly like an apple falling from a tree to earth. The space shuttle is simply moving so fast that the path of its fall is an orbit around our planet. Which of Newton’s laws helps explain the orbit of a space shuttle around earth and the orbit of earth around the sun
"B" When an object moves away from us, the light is shifted to the red end of the spectrum, as its wavelengths get longer.
Answer:
P = 2923.89 W
Explanation:
Power is
P = F v
so This exercise will solve them in parts using the conservation of momentum and then using the conservation of energy
To use the conservation of the momentum we must define a system, formed by the bodies, so that the forces during the collision have internal forces and the moment is conserved
initial instant, before the crash
p₀ = m v
final instant. Right after the crash
= (M + m) v₂
p₀ =p_{f}
m v = (M + m) v₂
v₂ = m / (m + M) v
this is the speed with which two come out, now we can apply the conservation of energy to the system formed by the two bodies together
Starting point. Lower
Em = K = ½ (M + m) v²
Final point. Highest point
Em = U = (M + m) g h
Eo₀ =
½ (M + m) v2 = (M + m) g h
h = 1/2 v2 / g
h = ½ [m / (m + M) v] 2 / g
h = 1/2 (m / m + M) 2 / g we must calculate the force, let's use Newton's second law, let's set a coordinate system with a parallel axis flat and the other axis (y) perpendicular to the plane
X Axis
Fe - Wₓ = 0
F = Wₓ
Y Axis
N - = 0
let's use trigonometry for the components of the weight
sin 6 = Wₓ / W
cos 6 = / W
Wx = W sin 6
W_{y}= W cos 6
F = mg cos 6
F = 75 9.8 cos 6
F = 730.97 N
let's calculate the power
P = F v
P = 730.97 4.0
P = 2923.89 W
Answer:
Explanation:
Let x ft be used to make square and 2-x ft be used to make equilateral triangle.
each side of square = x/4
area of square = ( x /4 )²
Each side of triangle
= (2-x) /3
Area of triangle = 1/2 (2-x)²/9 sin 60
= √3 / 36 x (2-x)²
Total area
A = ( x /4 )² +√3 / 36 (2-x)²
For maximum area
dA/dx = 0
1/16( 2x ) -√3 / 36 x2(2-x) = 0
x / 8 - √3(2-x)/ 18 = 0
x / 8 - √3/9 + √3/18 x = 0
x ( 1/8 + √3/18 ) = √3/9
x(.125 +.096 ) = .192
x = .868 ft