(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
Want to see more full solutions like this?
Chapter 1 Solutions
Principles of Physics: A Calculus-Based Text
- Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forwardVector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forwardThe x component of vector A is 5.3 units, and its y component is -2.3 units. What is the angle that vector A makes with the +x-axis, measured counter-clockwise from the positive x-axis?arrow_forward
- A vector has a magnitude of 17 units and makes an angle of 20 degrees with the positive x-axis. The magnitude of the horizontal component of this vectors is a. 50 units b. 5.8 units c. 16 units d. 4.1 unitsarrow_forwardSince the magnitude of the vector A is 6 units and its direction is north, the magnitude of the vector B is 3 units and its direction is south, what is the magnitude and direction of the vector 2A + 3B?arrow_forwardYou are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north of west for 65.5 paces, and finally walk due north for 11.9 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b) due west?arrow_forward
- Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points north, and vector C has a magnitude of 5.0 m and points west. The resultant vector A + B +C is given byarrow_forwardfind the resultant, magnitude, degree, and direction of the vector by graphing it using the polygon method→A = 9 KN north 20 degrees west →B = 10 KN south 30 degrees east →C= 4 KN south 15 degrees west →D= 5 KN south 46 degree west →E= 6 KN north 18 degree east →F= 6 KN north 15 degree west →G= 3 KN due eastarrow_forwardin the SI system, the units of density are a. g/cm3 b. kg/m2 c. kg/m3 d. kg/m3arrow_forward
- The x- and y- components of a displacement vector are -7.00 m and 8.00cm, respectively. What angle does this vector make with the positive x axis?229 degrees131 degrees-48.8 degrees48.8 degrees37.0 degreesarrow_forwardThe components of vectors ?⃗ and ?⃗ are given as follows: Ax = 5.1 Bx = -2.6 Ay = -5 By = -4.3 What is the magnitude of vector sum ? + ? choices: a. 2.5 b. 5.1 c. -9.3 d. 9.6 The equilibrant force is 5500 Dynes in magnitude and in the direction of 30 degrees South of East. Find the resultant force and direction. 5500 Dynes 170 degres 5500 Dynes, 150 degrees 5500 Dynes, 130 degrees 5500 Dynes, 30 degreesarrow_forwardGiven the following four force vectors in terms of their magnitude and directions, find the direction of the resultant force: F1 = 534.7 N @ 135.4 degrees F2 = 987.6 N @ 110.8 degrees F3 = 154.9 N @ 200.2 degrees F4 = 784.1 N @ 345.6 degreesarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning