(The answer is probably obvious for some but I'm not big on science. Not my cup of English-..I'm implying Enlish is more my styl
e...but yeah..help-)
This ray shows the image formed when a candle is placed in front of a curved mirror. Which of the following best describes the light ray shown in red?
A. The ray travels from the focal point to the image and continues in a straight line.
B. The ray travels toward the vertex and is reflected at an equal angle on the opposite side of the axis.
C. The ray travels parallel to the axis and is reflected as if it came from the focal point.
D. Tha ray travels toward the focal point and is reflected parallel to the axis.
This ray shows the image formed when a candle is placed in front of a curved mirror. Which of the following best describes the light ray shown in red?
A. The ray travels from the focal point to the image and continues in a straight line.
B. The ray travels toward the vertex and is reflected at an equal angle on the opposite side of the axis.
C. The ray travels parallel to the axis and is reflected as if it came from the focal point.
D. Tha ray travels toward the focal point and is reflected parallel to the axis.
1 answer:
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Answer:
acceleration are
hollow cylinder < hollow sphere < solid cylinder < solid sphere
Explanation:
To answer this question, let's analyze the problem. Let's use conservation of energy
Starting point. Highest point
Em₀ = U = m g h
Final point. To get off the ramp
Em_f = K = ½ mv² + ½ I w²
notice that we include the kinetic energy of translation and rotation
energy is conserved
Em₀ = Em_f
mgh = ½ m v² +1/2 I w²
angular and linear velocity are related
v = w r
w = v / r
we substitute
mg h = ½ v² (m + I / r²)
v² = 2 gh
v² = 2gh
this is the velocity at the bottom of the plane ,, indicate that it stops from rest, so we can use the kinematics relationship to find the acceleration in the axis ax (parallel to the plane)
v² = v₀² + 2 a L
where L is the length of the plane
v² = 2 a L
a = v² / 2L
we substitute
a =
let's use trigonometry
sin θ = h / L
we substitute
a = g sin θ \ \frac{h}{L} \ \frac{1}{1+ \frac{I}{m r^2 } }
the moment of inertia of each object is tabulated, let's find the acceleration of each object
a) Hollow cylinder
I = m r²
we look for the acerleracion
a₁ = g sin θ 1/1 + mr² / mr² =
a₁ = g sin θ ½
b) solid cylinder
I = ½ m r²
a₂ = g sin θ = g sin θ
a₂ = g sin θ ⅔
c) hollow sphere
I = 2/3 m r²
a₃ = g sin θ
a₃ = g sin θ
d) solid sphere
I = 2/5 m r²
a₄ = g sin θ
a₄ = g sin θ
We already have all the accelerations, to facilitate the comparison let's place the fractions with the same denominator (the greatest common denominator is 210)
a) a₁ = g sin θ ½ = g sin θ
b) a₂ = g sinθ ⅔ = g sin θ
c) a₃ = g sin θ = g sin θ
d) a₄ = g sin θ = g sin θ
the order of acceleration from lower to higher is
a₁ <a₃ <a₂ <a₄
acceleration are
hollow cylinder < hollow sphere < solid cylinder < solid sphere
The answer is D. 32 m.
The simple equation that connects speed (v), time (t), and distance (d) can be expressed as:
⇒ 
It is given:
t = 10 s
d = ?
So:
The simple equation that connects speed (v), time (t), and distance (d) can be expressed as:
It is given:
t = 10 s
d = ?
So: