The answer here could be pressure vs. temperature.
Think of PV=nRT. T is related to P the same way as n is (assuming all other variables are kept constant).
Answer:
The refractive index of the plastic, n₂ is between 0.73696 and 0.85034
Explanation:
Here we have;
Snell's law which is the relationship of the refractive index of light in two media. The law, in mathematical terms, states the ratio of the refractive index of light between two media is inversely proportional to the ratio of the sine of the angle of incidence to the sine of the angle of refraction.
That is the sine of the angle of incidence and the sine of the angle of refraction are inversely proportional.
0.79365 ± 0.05669
If θ₂ = Angle inside the plastic object and
θ₁ = Angle outside the plastic object
n₁ = Refractive index of air outside the plastic = 1
n₂ = Refractive index of the plastic
Therefore, , which gives;
∴ 0.73696 ≤ n₂ ≤ 0.85034.
The refractive index of the plastic, n₂ is between 0.73696 and 0.85034.
Answer:
The smallest and largest areas could be 6400 m and 7500 m, respectively.
Explanation:
The area of a rectangle is given by:
Where:
l: is the length = 100 m
w: is the width
We can calculate the smallest area with the lower value of the width.
And the largest area is:
Therefore, the smallest and largest areas could be 6400 m and 7500 m, respectively.
I hope it helps you!
Answer:
The answer is below
Explanation:
a) The initial velocity (u) = 24 m/s
We can solve this problem using the formula:
v² = u² - 2gh
where v = final velocity, g= acceleration due to gravity = 9.8 m/s², h = height.
At maximum height, the final velocity = 0 m/s
v² = u² - 2gh
0² = 24² - 2(9.8)h
2(9.8)h = 24²
2(9.8)h = 576
19.6h = 576
h = 29.4 m
b) The time taken to reach the maximum height is given as:
v = u - gt
0 = 24 - 9.8t
9.8t = 24
t = 2.45 s
The total time needed for the apple to return to its original position = 2t = 2 * 2.45 = 4.9 s