Concept explainers
(a)
The magnitude and angle of displacement vector.
(a)
Answer to Problem 54P
The magnitude of vector is
Explanation of Solution
Given:
The
Formula used:
Write the expression for
Here,
Rearrange above equation for
Write the expression for
Here,
Write the expression for the angle between two vectors.
Calculation:
Substitute
Substitute
Conclusion:
Thus, the magnitude of vector is
(b)
The magnitude and angle of velocity vector.
(b)
Answer to Problem 54P
The magnitude of vector is
Explanation of Solution
Given:
The
Formula used:
Write the expression for
Here,
Rearrange the above equation for
Write the expression for the angle between two vectors.
Here,
Calculation:
Substitute
Substitute
Conclusion:
Thus, the magnitude of vector is
The magnitude and angle of force vector.
Answer to Problem 54P
The magnitude of vector is
Explanation of Solution
Given:
The
Formula used:
Write the expression for
Here,
Rearrange the above equation for
Calculation:
Substitute
Conclusion:
Thus, the magnitude of vector is
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Chapter 1 Solutions
Physics For Scientists And Engineers
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- The displacement vectors 42.0 cm at 15.0 and 23.0 cm at 65.0 both start from the origin and form two sides of a parallelogram. Both angles are measured counterclockwise from the x axis. (a) Find the area of the parallelogram. (b) Find the length of its longer diagonal.arrow_forwardExpress in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 counterclockwise from the positive x axis, (b) Vector F is directed 27.0 counterclockwise from the positive y axis, (c) Vector G is directed 27.0 clockwise from the negative y axis.arrow_forwardThe resultant vector R=2AB2C has zero magnitude. Vector A has an x component of 4.60 m and a y component of 12.1 m. and vector B has an x component of 3.00 m and a y component of 4.00 m. What are the x and y components of vector C? (All of these are two-dimensional vectors.)arrow_forward
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