Answer:
14 cm
Explanation:
Power of eye = 57.1 D
The relation between the focal length and the power is
f = 1 / P = 1 / 57.1 = 0.0175 m = 1.75 cm
The distance between the image and the lens is, v = 2 cm
Let the distance between the object and the eye is u
Use the lens equation
1/ f = 1 / v - 1 / u
1 / 1.75 = 1 / 2 - 1 / u
1 / u = 1 / 2 - 1 / 1.75
1 / u = (1.75 - 2) / 3.5
u = - 14 cm
Thus, the distance between the feature and eye is 14 cm .
Answer:
15 m/s to the right
Explanation:
Let's say right is positive and left is negative.
Momentum is conserved:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(6.0 kg) (25.0 m/s) + (15 kg) (0 m/s) = (6.0 kg) (-12.5 m/s) + (15 kg) v₂
v₂ = 15 m/s
Answer:
38 m/s
43 m/s
Explanation:
x = 18t + 5.0t²
The instantaneous velocity is the first derivative:
v = 18 + 10.t
At t = 2.0:
v = 18 + 10.(2.0)
v = 38 m/s
The average velocity is the change in position over change in time.
v = Δx / Δt
v = [ (18t₂ + 5.0t₂²) − (18t₁ + 5.0t₁²) ] / (t₂ − t₁)
Between t = 2.0 and t = 3.0:
v = [ (18(3.0) + 5.0(3.0)²) − (18(2.0) + 5.0(2.0)²) ] / (3.0 − 2.0)
v = [ (54 + 45) − (36 + 20.) ] / 1.0
v = 99 − 56
v = 43 m/s
Answer:
The Sun is at an average distance of about 93,000,000 miles (150 million kilometers) away from Earth. It is so far away that light from the Sun, traveling at a speed of 186,000 miles (300,000 kilometers) per second, takes about 8 minutes to reach us.
Explanation:
