You will begin with a relatively standard calculation.Consider a concave spherical mirror with a radius of curvature equal to 60
1 answer:
a) 30.0 cm
For any mirror, the radius of curvature is twice the focal length:
r = 2f
where
r is the radius of curvature
f is the focal length
For the mirror in this problem, we have
r = 60.0 cm is the radius of curvature
Therefore, solving the equation above for f, we find its focal length:
b) 90 cm
The mirror equation is:
where
s' is the distance of the image from the mirror
f is the focal length
s is the distance of the object from the mirror
For the situation in the problem, we have
f = +30.0 cm is the focal length (positive for a concave mirror)
s = 45.0 cm is the object distance from the mirror
Solving the formula for s', we find
c) -2
The magnification of the mirror is given by
where in this problem we have
s' = 90 cm is the image distance
s = 45.0 cm is the object distance
Solving the equation, we find:
So, the magnification is -2.
d) -12.0 cm
The magnification can also be rewritten as
where
y' is the height of the image
y is the heigth of the object
In this problem, we know
y = 6.0 cm is the height of the object
M = -2 is the magnification
Solving the equation for y', we find
and the negative sign means that the image is inverted.
Part e and f are exactly identical as part b) and c).
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Answer:a
Explanation:
Answer:
v₁ = 0.375 m / s , x = 0.335 m
Explanation:
Let's analyze this interesting exercise, the block moves and has a friction force with the tile, we assume that the speed of the block is constant, so the friction force opposes the block movement. For the only force that acts (action and reaction) this friction force exerted by the block that is in the direction of movement of the tile.
We can also see that the isolated system formed by the block and the tile will reach a stable speed where friction cannot give the system more energy, this speed can be found by treating the system with the conservation of linear momentum.
initial moment. Right at the start of the movement
p₀ = m v₀ + 0
final moment. Just when it comes to equilibrium
= (m + M) v₁
how the forces are internal
p₀ =p_{f}
m v₀ = (m + M) v₁
v₁ = m /m+M v₀
let's calculate
v₁ = 0.4 /(0.4 + 2.8) 3
v₁ = 0.375 m / s
Let's apply Newton's second law to the Block, to find the friction force
Y axis
N - W = 0
N = W
N = m g
where m is the mass of the block
the friction force has the formula
fr = μ N
fr = μ m g
We apply Newton's second law to slab
X axis
fr = M a
where M is the mass of the slab
μ m g = M a
a = μ g m / M
let's calculate
a = 0.15 9.8 0.4 / 2.8
a = 0.21 m / s²
With kinematics we can find the position
v²= v₀²+2 a x
as the slab is initially at rest, its initial velocity is zero
v² = 2 a x
x = v2 / 2a
let's calculate
x = 0.375²/2 0.21
x = 0.335 m
Answer:
10 km/h
Explanation:
Before calculating the average speed, we need to convert the time taken for the trip from minutes to hours. Since 1 hour cointains 60 minutes, we have:
Karen's average speed is given by:
where
d = 5 km is the distance covered
t = 0.5 h is the time taken for the trip
Substituting into the equation, we find