Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 15P
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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The helicopter view in the figure shows two people pulling on a stubborn mule. The person on the right pulis with a force F, of magnitude 87.9 N
and direction of f₁ = 55.0%. The person on the left pulls with a force F, of magnitude 79.4 N and direction of U₂ = 65.0°
(a) Find the single force that is equivalent to the two forces shown. The forces are measured in units of newtons (symbolized N)
Ni+
Nj
(b) Find the force that a third person would have to exert on the mule to make the resultant force equal to zero.
Ni+
Nj
Two 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.
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 given
angle is 144°). The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 210 N, and Charles pulls with force
c of magnitude 189 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
144°
Betty
Units
(a) Number
Units
(b) Number
areinn d-24 20
Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 3.2 - Which of the following are vector quantities and...Ch. 3.3 - Prob. 3.2QQCh. 3.3 - If vector B is added to vector A, which two of the...Ch. 3.4 - Choose the correct response to make the sentence...Ch. 3.4 - Prob. 3.5QQCh. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 2PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Prob. 4PCh. 3 - Why is the following situation impossible? A...
Ch. 3 - Prob. 6PCh. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - Prob. 11PCh. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - Prob. 17PCh. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - The vector A has x, y, and z components of 8.00,...Ch. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Use the component method to add the vectors A and...Ch. 3 - Prob. 26PCh. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Prob. 29PCh. 3 - In an assembly operation illustrated in Figure...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - Prob. 33PCh. 3 - Prob. 34APCh. 3 - A person going for a walk follows the path shown...Ch. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - Prob. 40APCh. 3 - Prob. 41APCh. 3 - Prob. 42APCh. 3 - Prob. 43APCh. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - A pirate has buried his treasure on an island with...
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- The helicopter view in the figure shows two people pulling on a stubborn mule. The person on the right pulls with a force F₁ of magnitude 110. N and direction of 0₁ = 55.0°. The person on the le pulls with a force F₂ of magnitude 103.9 N and direction of ₂ = 60.0°. F₁₂ 0₂ F₁ 0₁ (a) Find the single force that is equivalent to the two forces shown. The forces are measured in units of newtons (symbolized N). 115 X Note that one of the forces pulls toward the left and one toward the right. What does this mean about the signs of the two x components? NÎ + 180.09 (b) Find the force that a third person would have to exert on the mule to make the resultant force equal to zero. -115 X These are the correct components of the third force using your incorrect values from part (a). NÎ + -180.09 ✓ NĴ ✓ Nĵarrow_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_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_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_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_forwardThree 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_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 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_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 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_forward
- The 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 tire remains stationary in spite of the three pulls. Alex pulls with force ₁ of magnitude 201 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 F if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? 149⁰ Alex Charles Betty (a) Number i (b) Number i 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 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
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