What does increasing the speed of an object do to its potential energy?
2 answers:
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Answer:
Current = 8696 A
Fraction of power lost = = 0.151
Explanation:
Electric power is given by
where I is the current and V is the voltage.
Using values from the question,
The power loss is given by
where R is the resistance of the wire. From the question, the wire has a resistance of per km. Since resistance is proportional to length, the resistance of the wire is
Hence,
The fraction lost =
Answer:
a) The position vector of P is .
b) The distance vector from P to Q is .
c) The distance between P and Q is .
d) A vector parallel to PQ with magnitude of 10 is .
Explanation:
a) The position vector of a point is the vector displacement from the origin to the location of the point. That is:
The position vector of P is .
b) First, we calculate the position vector of point Q:
The distance vector from P to Q is define by the following vectorial expression:
(1)
The distance vector from P to Q is .
c) There are two approaches to calculate the distance between P and Q:
First Method - Pythagorean Theorem:
Second Method - Dot Product:
(2)
The distance between P and Q is .
d) To determine a vector parallel to PQ with a given magnitude is determined by the following expression:
(3)
Where is the scale factor.
If we know that ,
and
, then the vector is:
A vector parallel to PQ with magnitude of 10 is .