A transverse wave is found to have a vertical distance of 4 cm from a trough to a crest, a frequency of 12 Hz, and a horizontal
1 answer:
Answer:
Amplitude: 2cm
Period: 1/12 s
Wavelength: 10 cm
Speed: 120 cm/s
Explanation:
The amplitud is the vertical distance from the resting position to the crest or to the trough, and the vertical distance from a crest to a trough is two times the amplitude. Therefore the amplitud (A) is:
A= 4cm/2= 2cm
The period (T) is:
s
The wavelength is defined as the horizontal distance from a crest to the nearest crest or from a trough to the nearest trough. The distance from a crest to the nearest tough was given. Therefore two times that distance is the distance from a crest to the nearest crest.
The wavelenght (λ) is:
λ=(2)(5)=10cm
The speed (v) in a wave is given by:
v = λf
v=(10)(12)=120 cm/s
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Answer:
a) The work done by the force is 720 joules, b) The power supplied by the force is 138 watts.
Explanation:
a) Since force is uniform and parallel to the direction of motion, the work (), in joules, done by the force (
), in newtons, is defined by this formula:
(1)
Where is the travelled distance, in meters.
If we know that and
, then the work done by the force is:
The work done by the force is 720 joules.
b) And an expression for the power supplied by the force (), in watts, is concieved by differentiating (1) in time:
Where is the speed of the wagon, in meters per second.
If we know that and
, then the power supplied by the force is:
The power supplied by the force is 138 watts.