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The helicopter view in Fig. P3.15 shows two people pulling on a stubborn mule. The person on the right pulls with a force
Figure P3.15
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Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
- 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 ropes are attached to a tree, and forces of F1 = 2.0Nˆi+4.0Nˆj and F2 = 3.0Nˆi+6.0Nˆj are applied. The forces are coplanar (in the same plane). (a) What is the resultant (net force) of these two force vectors? (b) Find the magnitude and direction of this net force.arrow_forwardTwo 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_forward
- In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the overhead view of the figure. The tire remains stationary in spite of the three pulls. Alex pulls with force of magnitude 202 N, and Charles pulls with force of magnitude 148 N. Note that the direction of Charles' force is not given. What is the magnitude of Betty's force?arrow_forwardThe helicopter view in above figure shows two people pulling on a stubborn mule. The person on the right pulls with a force F1of magnitude 120N and direction of θ 1=60.0 0 The person on the left pulls with a force F2of magnitude 80.0N and direction of θ 2=75.0 0 . Find (a) the single force that is equivalent to the two forces shown and (b) the force that a third person would have to exert on the mule to make the resultant force equal to zero. The forces are measured in units of newtons (symbolized N).arrow_forwardA bicep muscle shown in Fig. P2.3 can apply a force F measured in Newtons (N) as a function of the elbow angle ϕ, measured in degrees as described by the quadratic equation F(ϕ) = 6ϕ − 0.04ϕ2. For a bicep force of F = 200 N, solve the equation for ϕ by each of the following methods: factoring, completing the square, and the quadratic formula. Using your solution from part (a), determine the elbow angle ϕ where the force exerted by the bicep is maximum. In addition, calculate the maximum force Fmax. Plot F versus ϕ and clearly indicate the maximum force on the graph. Also clearly label the x-intercepts on the graph.arrow_forward
- Three forces are applied to an object, as shown in the figure. Force F₁ has a magnitude of 24.3 newtons (24.3 N) and is directed 30.0° to the left of the +y axis. Force F₂ has a magnitude of 15.1 N and 2 points along the +x axis. What must be the (a) magnitude and (b) direction (specified by the angle in the drawing) of the third force F3 such that the vector sum of the three forces is O N? (a) Number i (b) Number F3 30.0% i F₂ +x Units Unitsarrow_forwardIn a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force ₁ of magnitude 207 N, and Charles pulls with force Fc of magnitude 188 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? 142° Alex Charles Betty (a) Number i (b) Number i Units Units <arrow_forwardYour answer is partially correct. In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 205 N, and Charles pulls with force F c of magnitude 184 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 144° Betty (a) Number 304.72 Units N (b) Number 49.1 Unitsarrow_forward
- In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force É A of magnitude 222 N, and Charles pulls with force magnitude 188 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the c of direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 140° Betty (a) Number i Units (b) Number i Unitsarrow_forwardThe rocket engine on a test stand exerts an upward force of 36 MN vertically upward. If you resolve the force into vector components parallel to the bars AB and CD, what are the magnitudes of the components? Given that the angle θθ is 42 degree.arrow_forwardIn a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture (the given angle is 138°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 216 N, and Charles pulls with force Fc of magnitude 184 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force Fg if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 138° Betty (a) Number Units 297.73 (b) Number Units 297.73 Click if you would like to Show Work for this question: Open Show Workarrow_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