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
Want to see more full solutions like this?
Chapter 1 Solutions
Physics for Scientists and Engineers
- A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.arrow_forwardA skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?arrow_forwardA vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forward
- Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.arrow_forwardVector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?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
- Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .arrow_forwardA force vector A has x and y components, respectively, of -8.80 units of force and 15.00 units of force. The x and y components of force vector B are, respectively, 13.20 units of force and -6.60 units of force. Find the components of force vector C that satisfies the vector equation AB+3C=0 .arrow_forwardA vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.arrow_forward
- Find the angles that vector makes with the and axes.arrow_forwardVector A has a magnitude of 29 units and points in the positive y-direction. When vector B is added to A, the resultant vector A + B points in the negative y-direction with a magnitude of 14 units. Find the magnitude and direction of B.arrow_forwardFigure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning