(a)
The equivalent force between the two pulling forces and its direction.
(a)
Answer to Problem 67P
The equivalent force between the two pulling forces is
Explanation of Solution
Write the expression for person on the right pull with a force
Here,
Write the expression for person on the left pull with a force
Here,
Write the expression for the net force is acting between the two forces.
Here,
Write the expression for the magnitude of net force is acting between the two forces.
Here,
Write the expression for the angle of equivalent force.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the equivalent force between the two pulling forces is
(b)
The force of the third person exerted on the mule to make the resultant force is equal to zero.
(b)
Answer to Problem 67P
The force of the third person is
Explanation of Solution
Write the expression for the third person exerted on the mule.
Here,
Conclusion:
Substitute
Therefore, the force of the third person is
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Chapter 1 Solutions
Principles of Physics: A Calculus-Based Text
- In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?arrow_forwardTwo individuals are attempting to relocate a sofa by applying forces in the indicated directions. If F₁ = 490 N and F2 = 400 N, determine the vector expression for the resultant R of the two forces. Then determine the magnitude R of the resultant and the angle which it makes with the positive x-axis (measured counterclockwise from the x-axis). I F2 69⁰ -1 F₁ Answers: R= j) N R = e= i B i+ i Narrow_forwardThe helicopter view in the figure shows two people pulling on a stubborn mule. The person on the right pulls with a force F, of magnitude 89.1 N and direction of e, = 55.0°. The person on the left pulls with a force F, of magnitude 84.3 N and direction of 8, = 60.0°. F (a) Find the single force that is equivalent to the two forces shown. The forces are measured in units of newtons (symbolized N). NÎ + Nj (b) Find the force that a third person would have to exert on the mule to make the resultant force equal to zero. NÎ + Njarrow_forward
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- Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If F1 = 690 N and F2 = 700 N, determine the vector expression for the resultant R of the two forces. Then determine the magnitude R of the resultant and the angle 0 which it makes with the positive x-axis (measured counterclockwise from the x-axis). F2 63° F A Answers: R = ( i i+ i j) N R = i N iarrow_forwardTwo forces act on an object. The first force has a magnitude of 17.0 N17.0 N and is oriented 68.0°68.0° counterclockwise from the +?+x‑axis, whereas the second force has ?x‑ and ?y‑components (−21.0 N,12.5 N).(−21.0 N,12.5 N). Express the magnitude and direction of the net force. magnitude: NN direction: °° counterclockwise from the +?+x‑axisarrow_forwardBefore starting this problem, review Conceptual Example 7. The force vector A has a magnitude of 94.0 newtons (N) and points due east. The force vector R has a magnitude of 137 N and points 79.6 ° north of east. Find the (a) magnitude and (b) direction of FA-E B. (Give the direction as a positive angle with respect to due east). Find the (c) magnitude and (d) direction of F8-FA (Give the direction as a positive angle with respect to due west). FR4 W i Units (a) Number Units i (b) Number Units i (c) Number Units (d) Number MacBook Pro G Search or type URLarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University