Both Bob and Mary exert forces on a box. Bob exerts a force of 17.0 N, 23.0° south of east, and Mary exerts a force of 23.0 N. 36.0° west of south. No other forces act on the box. Calculate the net force acting on the box, expressing the direction relative to east or west.

Both Bob and Mary exert forces on a box. Bob exerts a force of 17.0 N, 23.0° south of east, and Mary exerts a force of 23.0 N. 36.0° west of south. No other forces act on the box. Calculate the net force acting on the box, expressing the direction relative to east or west.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 26P: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...

See similar textbooks

Related questions

Q: Define centripetal force. Can any type of force (for example, tension, gravitational force,…

A: A centripetal force is a force that makes a body follow a curved path. Its direction is always…

Q: The acceleration of gravity on the surface of the moon is approximately 1/6 of that at the surface…

Q: If 7 kg mass above is going up an incline of 300, How much mass must be placed to start the 7 kg up…

Q: The weight of a table is 981 N on Earth. Find out its mass. If the same table is taken to the moon,…

Q: A metric bathroom scale measures weight, but is calibrated to indicate the equivalent mass of weight…

A: We know thatBathroom scale measures weight.W=m×gHereW=mass of objectm=mass of objectg=gravity…

Q: Eric Weir's popular 2014 science fiction novel, "The Martian," was made into a major motion picture…

Q: what is the weight (on earth) of a 13.5 gram object? Answer must be in Newtons.

Concept explainers

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

Express answer in Newton and degrees

Both Bob and Mary exert forces on a box. Bob exerts a force of 17.0 N, 23.0° south of east, and
Mary exerts a force of 23.0 N. 36.0° west of south. No other forces act on the box. Calculate the
net force acting on the box, expressing the direction relative to east or west.

Expert Solution

Step 1

Let the force 17 N be F₁ and the force of 23 N be F₂. Resolve the forces in x and y direction as shown.

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

While sliding a couch across a floor, Andrea and Jennifer exert forces FA and FJ on the couch. Andrea’s force is due north with a magnitude of 130.0 N and Jennifer’s force is 32 east of north with a magnitude of 180.0 N. (a) Find the net force in component form. (b) Find the magnitude and direction of the net force. (c) If Andrea and Jennifer’s housemates, David and Stephanie, disagree with the move and want to prevent its relocation, with what combined forceFDS should they push so that the couch does not move?
A force F1, of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the positive x-axis (Fig. P3.8). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F1 + F2?. Figure P3.8
Four force vectors each have the same magnitude f.What is the largest magnitude the resultant force vector may have when these forces are added? What is the smallest magnitude of the resultant? Make a graph of both situations.
The component of a force is 238.16 N to the west. The force must be equal to a. 275 N, 30 degrees west of south b. 275 N, 60 degrees NW c. 275 N, 30 degrees north of west d. 275 N, 60 degrees SW Three forces act concurrently on an object with zero resultant. These forces are 10 N, 8 N and 6 N. The resultant of the 6 N and the 8 N forces has a magnitude of a.between 0.0 and 10 N b. more than 10 N c.0.0 N d.10 N Choose the correct response to make the sentence true: A component of a vector is ____________ larger than the magnitude of a vector. a. sometimes b. always c.never d. oftentimes
Car #1 hits thé parked car at an angle of 30' with a force of 200N. Car #2 hits thé parked car at a 45' angle with a force of 350N. What is the magnitude and total direction of the force applied to the parked car by both drivers?
Two forces. F, and F2 of magnitude 60 and 70 pounds, respectively, act on an object. The direction of F, is N40°E and the direction of F2 is N40°W. Find the magnitude and the direction angle of the resultant force Express the direction angle to the niris tenth of a degree O A. F 92 20: 0= 80° OB. FI 94 63. 0= 87 2° OC. IFI-99 79; 0=937° O D. F|=92.20: 0= 89 4° Click to select your answer. DELL delete insert home F11 end prt sc F10 F12 F9 F8 F7 DII F4 F6 nurc FS F3 backspace lo esc F2 F1 // & #3 7 3. 4 1 T Y K * 00
5. LO 4: A force of 6 N acts 60° north of west. What is the effective force along the west and along the north? 6. LO 4: A vector has components (4, -3). Draw the vector. Find the magnitude and direction of the vector. 7. LO 4: Calculate the components of the vectors. 10 m 60⁰ Y 30 тил 10 m X OPP A)) Y AY AX -45⁰ 10 m X
1.8.4. Forces F, = 12 N, 0, = 0 and F2 = 12 N, 0, = -0 act at the origin. Their resultant force F = 9 N is along the +x-direction. A. Setup with a labeled diagram showing F, F1, F1y, F2, F2y. b. Calculate the magnitude of the angle 0 that F, and F, make with the +x-axis. 1x3 2x9
5 ft B7ft F= 135 lb 10 ft Express force F as a Cartesian vector. Determine the coordinate direction angle a, ß and y the resultant force acting at point A on the post. 70° 30% A
= 7. Four forces act on an object, given by A = 40.0 Neast, B = 50.0 north, C 70.0 N west, and D = 90.0 N south. (a) What is the magnitude of the net force on the object? (b) What is the direc- tion of the force?
The resultant of the four forces is 1000 lbs in the direction 30 degree west of north. Three of the forces are 500 lbs, 60 degrees north of east; 300 lbs south and 400 lbs 53 degree west of south. Find the rectangular components of the fourth force.. A. Fx = - 320 1lbs, Fy = - 240Ibs B. Fx=-500lbs, Fy=8661lbs C. Fx = - 250 lbs, Fy 433 lbs D. Fx = - 430 lbs, Fy = 973 lbs
Two hockey players check an opponent into boards simultaneously. Player 1 hits from the left at an angle of 37 degrees to horizontal and a force of 400N. Player 2 hits from the left at an angle of 41 degrees to horizontal and a force of 600N. What is the magnitude and direction of total force applied to opposing player