Answer:
0.59 cm
Explanation:
height of cup (h) = 10 cm
radius of cup (r) = 10 cm
rate of change of water level (V') = 16π/3
rate of change of height (h) = 3 cm
the ratio of the height to radius (h:r) = 10:10
h/r = 10/10
h/r = 1
r=h
formula for volume of a volume (v) = .πh
substituting r=h into the formula above we have
v = .π. h = .π
differentiating the above we have
v' = 3(π)h' = π.h'
rearranging the above we have
h' = v' / (π)
where
- v' = rate of change of water level
- h' = rate of change of water level
- h = water level
h' = ((16 x π) / 3) ÷ ( π x )
h' = ((16 x 3.142) / 3) ÷ ( 3.142 x )
h' = 16.76 / 28.28
h' = 0.59 cm
The sound was repeated because of the phenomenon of echo. The speed of sound in the metal is 800 m/s.
Echo results from the reflection of sound waves. The reason why a sound may be heard twice owes to the phenomenon of reflection which leads to echo.
To determine the speed of sound in the metal;
Length of metal = 1000 m
Time taken between the two sounds = 2.5 s
Using the formula;
V = 2d/t
V = 2(1000)/2.5
V = 800 m/s
Kinetic energy = to G.P.E energy to form the equation
Answer:
The wooden floor exerts a greater force to give the same impulse as a padded mat.
Explanation:
-The wooden floor exerts a greater force for the same impulse as the padded mat.
-Unlike the wooded floor, the padded mat absorbs some of the energy when you fall. This in turn makes it exert less force on the body during the fall.
-Hence, you are less hurt when you fall on the padded floor.