When a 12.0-V battery causes 2.00 μC of charge to flow onto the plates of an air-filled capacitor, how much work did the battery
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Answer:
(a). The distance traveled is 7.06 km towards the west.
(b). Their displacement magnitude is 7.51 km.
Explanation:
The information given states that,
The geese initially move 4.0 km directly west, then alter course to the north at a 40° angle, covering an additional 4.0 km.
Based on the diagram,
(a). To determine the distance
We will apply the distance formula
Insert the values into the equation
The resultant distance is 7.06 km westward.
(b). We will find the total displacement's magnitude
Using the displacement formula
Insert the values into the equation
The total displacement magnitude is 7.51 km.
In conclusion, (a). The traveled distance is 7.06 km towards the west.
(b). The magnitude of their total displacement is 7.51 km.
Answer:
Explanation:
In this scenario, we determine the initial velocity as follows:
The final velocity in this instance can be expressed as:
It is noted that transitioning from 7m/s to 13m/s takes 8 seconds. We can apply a specific kinematic equation to find the acceleration for the first part of the journey:
Solved for acceleration, we find:
For the subsequent route, we assume constant acceleration and that the train continues for 16 seconds, beginning with an initial velocity of 13m/s from the previous segment, allowing us to calculate the final speed via the following formula:
Substituting into the equation yields:
Explanation:
Efficiency can be expressed as the ratio of useful output to the total power consumed.
The fan delivers 500W as useful output while wasting 300W. Thus, the overall power consumed equals 800W (500 + 300).