Answer:
1.414
Explanation:
Snell's law states:
n₁ sin θ₁ = n₂ sin θ₂
where n is the index of refraction and θ is the angle of incidence (relative to the normal).
The index of refraction of air is approximately 1. So:
1 sin 45° = n sin 30°
n = sin 45° / sin 30°
n = 1.414
Round as needed.
Answer:
The net force is 500N downwards
Explanation:
When Haley is trying to pull an object upward. The below forces are acting on the object.
Fp = 5500N
Fg = 6000N
because the force of gravity is more than the force of the pull.
Fnet = Fg - Fp = 6000N - 5500N = 500N
And, the direction of the resultant force is the direction of the larger force.
The picture is hard to see but if you still need help message me
Answer:
The sum of the lengths of the sides is 2292 yards and the sum of the lengths of the triangle is 3056 yards
Explanation:
Since y represents the length of fence that is opposite (parallel) to the river and x represent the length of fence perpendicular to the river.
Therefore since we can use 3,056 yards of fencing
Side perpendicular to the river = x and,
Side opposite to the river = y = 3056 - 2x
The area of the rectangle formed (A) = Perpendicular side × Parallel side
∴ A = x(3056 - 2x) = 3056x - 2x²
A = 3056x - 2x²
To maximize the area, A' (dA/dx) = 0
∴ A' = 3056 - 4x = 0
3056 - 4x = 0
4x = 3056
x = 764 yards
y = 3056 - 2x = 3056 - 2(764) = 1528 yards.
Side perpendicular to the river = 764 yards and,
Side opposite to the river = 1528 yards
The sum of the lengths of the sides = 764 + 1528 = 2292 yard and the sum of the lengths of the triangle = 764 + 764 + 1528 = 3056 yards
Answer:
10.32874 m
Explanation:
= Atmospheric pressure = 101325 Pa
g = Acceleration due to gravity = 9.81 m/s²
h = Height of water
= Density of water = 1000 kg/m³
If the walls of the tube do not collapse that means that maximum pressure inside will be the atmospheric pressure
Atmospheric pressure is given by
The maximum height to which Superman can lift the water is 10.32874 m
On the Moon there is no atmosphere so no atmospheric pressure which means when the straw is placed in water water will not rise in the tube.
