Answer:
(a) upper : 3.18 m, lower: 2.58
(b) upper : 3180 mm, lower: 2580 mm
(c) upper : 2.81 m³, lower: 1.5 m³
Explanation:
given information:
the distance ranged from 43 to 53 cm
length of cylindrical pillar = 6 cubits
diameter = 1 cubit
(a) the cylinder's length in meters
upper = 53 cm x 6 cubits
= 318 cm
= 3.18 m
lower = 43 cm x 6 cubits
= 258 cm
= 2.58 m
(b) the cylinder's length in millimeters
upper = 3.18 m
= 3180 mm
lower = 2.58 m
= 2580 mm
(c) the cylinder's volume in cubic meters
upper : V = πr²l
= π (0.53m)² (3.18)
= 2.81 m³
lower : V = πr²l
= π (0.43m)² (2.58)
= 1.5 m³
Newton's first law of motion is an object in motion stays in motion until acted upon by another force. Driving at 30 mph in a car is going to stay constant until you crash the car into a wall, stopping the car.
Answer:
(a) Approximately 968 Hz.
Explanation:
The observed frequency is less than 1003 Hz because of Doppler's Effect. When the source is moving away from an observer that doesn't move, the equation for the observed frequency would be:
,
where in the context of this problem,
- is the speed of sound in the air.
- is the speed at which the source moves away from the observer.
- is the frequency at the source.
Apply this equation to find :
.
Here's an alternative explanation.
The frequency of the siren at the source is . That corresponds to a period of .
In other words, at the source, a peak arrives about every .
The source is moving away from the observer at a speed of . In the between the first and the second peak, the source moved away from the observer. It would take an extra for the sound to cover that extra distance.
As a result, the period of the sound would appear to be to the observer.
That corresponds to an observed frequency of . (Same as the answer from the formula.)
Answer:
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Explanation:
An acid is a substance or compound that releases hydrogen ions (H+) when in solution. In a strong acid, such as hydrochloric acid (HCl), all hydrogen ions (H+), and chloride ions (Cl-) dissociate (separate) when placed in water and these ions are no longer held together by ionic bonding.