Answer:
30.81°
Explanation:
θ₁ = angle of incidence = 50°
θ₂ = Angle of refraction
n₂ = Refractive index of glass = 1.5
n₁ = Refractive index of air = 1.0003
From Snell's Law
Using Snell's law as:
Angle of refraction= sin⁻¹ 0.5122 = 30.81°.
Density =mass/volume 120/200 =0.6 g/cm
Answer:
The two objects will collide with the same position vector for all three components at exactly t = 4 s
Explanation:
For two particles starting out at the same time to collide, their position Vector's at the time of collision must be exactly the same.
So, at the collision point, position vector of object 1 is equated to that of object 2.
r₁ = (t², 13t-36, t²)
r₂ = (7t-12, t², 5t-4)
At he point of collision
t² = 7t - 12
t² - 7t + 12 = 0
t² - 4t - 3t + 12 = 0
t(t - 4) - 3(t - 4) = 0
t = 3s or t = 4s
13t - 36 = t²
t² - 13t + 36 = 0
t² - 4t - 9t + 36 = 0
t(t - 4) - 9(t - 4) = 0
t = 9s or 4s
t² = 5t - 4
t² - 5t + 4 = 0
t² - 4t - t + 4 = 0
t(t - 4) - 1(t - 4) = 0
t = 1s or t = 4s
The three components intersect at other times, but at t = 4s, they all intersect at the same time! Meaning that, at this point the two objects are at the same place with the same position vector at that time.
Answer:
the ratio of the heat rejected to the cold reservoir for the improved engine to that for the original engine is 0.68
Explanation:
Given information
initial efficiency, η
= 0.28
final efficiency, η
= 0.51
ratio of the heat rejected = (1 - η)/(1 - η)
= (1 - 0.51)/(1 - 0.28)
= 0.68
