Answer: Volcanoes and ridges are landforms that are created by the movement of tectonic plates.
Explanation:
Given Information:
slope angle = θ = 30°
spring constant = k = 30 N/m
compressed length = x = 10 cm = 0.10 m
mass of ice cube = m = 63 g = 0.063 kg
Required Information:
distance traveled by ice cube = d = ?
Answer:
distance traveled by ice cube = 0.48 m
Explanation:
Using the the principle of conversation of energy, the following relation holds true for this case,
mgh = 1/2*kx²
h = 1/2*kx²/mg
Where h is the height of the slope, m is the mass of ice cube, k is the spring constant and x is the compressed length o the spring and g is gravitational acceleration.
h = 1/2*kx²/mg
h = 1/2*30(0.1)²/0.063*9.8
h = 0.242 m
From trigonometry ratio,
sinθ = h/d
d = h/sinθ
d = 0.242/sin(30)
d = 0.48 m
Therefore, when the ice cube is released, it will travel a total distance 0.48 up the slope before reversing direction.
Answer:
far from the speaker the intensity drops to 85 dB.
Explanation:
In the equation for the Decibel scale

The ratio of the intensities can be written as


And since

and
,

meaning

Putting this into equation (1), we get:

Now, if the intensity is 100 dB when the distance is 5 meters, we have:


by taking both sides to the exponent:


Now equation (2) becomes

when the intensity level is 85 dB we have


take both sides to exponents and we get:




Thus,
far from the speaker the intensity drops to 85 dB.
Answer:
3.5
Explanation:
The angular magnification, M = 1 + 25cm/f where f = focal length = 10.0 cm
M = 1 + 25cm/f
= 1 + 25cm/10.0 cm
= 1 + 2.5
= 3.5
Answer:
The answer to your question is given below
Explanation:
Since both object A and B were dropped from the same height and the air resistance is negligible, both object A and B will get to the ground at the same time.
From the question, we were told that object A falls through a distance to dA at time t and object B falls through a distance of dB at time 2t.
Remember, both objects must get to the ground at the same time..!
Let the time taken for both objects to get to the ground be t.
Time A = Time B = t
But B falls through time 2t
Therefore,
Time A = Time B = 2t
Height = 1/2gt^2
For A:
Time = 2t
dA = 1/2 x g x (2t)^2
dA = 1/2g x 4t^2
For B
Time = t
dB = 1/2 x g x t^2
Equating dA and dB
dA = dB
1/2g x 4t^2 = 1/2 x g x t^2
Cancel out 1/2, g and t^2
4 = 1
4dA = dB
Divide both side by 4
dA = 1/4 dB