3. Kindly answer this **Problem:**Three forces, when added, produce a resultant force that is 100N pointing 65° above the +x-axis. If one of the forces (F₁) is 50N in the +y-axis and another force (F₂) is 100N in a direction 45° below the +x-axis, find the magnitude and direction of the third force (F₃).*(by Sir Fabro, SI Edition)*---**Explanation:**This problem involves vector addition and resolution. You need to use trigonometry to resolve the forces into their components and apply the principle of vector addition to find the unknown force, F₃. The key steps are:1. **Resolve F₁ and F₂ into their components:** - F₁ = 50N along +y-axis. Components: (0, 50). - F₂ = 100N at 45° below +x-axis. Components can be found using trigonometric functions (cosine and sine).2. **Determine the components of the resultant force:** - Resultant = 100N at 65° above +x-axis. Use trigonometry to resolve into x and y components.3. **Apply vector addition:** - Sum the components of F₁, F₂, and F₃ to equal the components of the resultant force.4. **Solve for F₃:** - Use the component equations to find the magnitude and direction of F₃.

Answered: Image /qna-images/answer/563da8b9-87c0-46f5-b0d1-bc19d21a6c76.jpg

Three forces when added produce a resultant force that is 100N pointing 65° above the +x – axis. If one of the forces (F1) is 50N in the +y – axis and another force (F2) is 100N in a direction 45° below the +x - axis. Find the magnitude and direction of third Force (F3). (by Sir Fabro, SI

Three forces when added produce a resultant force that is 100N pointing 65° above the +x – axis. If one of the forces (F1) is 50N in the +y – axis and another force (F2) is 100N in a direction 45° below the +x - axis. Find the magnitude and direction of third Force (F3). (by Sir Fabro, SI

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A neutron at rest decays (breaks up) to a proton and an electron. Energy is released in the decay…

A: This problem can be solved using conservation of energy concept.

Q: Find the equivalent resistance of the Wheatstone bridge in problem above when 20.10 Making an…

A: Concept : If a galvanometer has resistance R and shows full scale deflection for current iG through…

Q: Once upon a time there was a lonely mass of 9.07185 kg suspended in thea spring. Its loneliness is…

Q: 2. One kilogram of water at temperature 20°C is mixed with 0.500 kg of water at 80°C in a…

A: GIVEN: 1 kg (m1 ) of water at temperature T1 = 20oC is mixed with (m2) 0.5 kg of water, at T2=80oC…

Q: General Directions: Read each questions and directions carefully and write your answers and…

Q: Question 8 If an electron is emitted from a photoelectric surface of a photoelectric cell with…

A: Given kinetic energy of emitted electron is Kmax=8.5 eV

Q: QUESTION 10 An ideal gas occupies 400 m³ at a pressure of 250 Pa. If the volume is changed to 100 m3…

A: 10. Let the initial pressure of the ideal gas be P1, the initial volume of the ideal gas be V1, the…

Q: 13. Show that the following reaction are forbidden by the conservation of charge and/or baryon…

A: To show that, The following reaction is forbidden by the conservation of charge or baryon number…

Q: What is the magnitude of the total magnetic force the long wire exerts on the current loop? a. Zcro…

Q: B A coin sits on a rotating turntable as shown in the figure. At the time shown in the figure, which…

A: We need to say what the direction of friction will be on the coin on turntable.

Q: Electrical energy is converted into thermal energy in a resistor at the rate of 5 watts for 1…

A: Given, Electrical energy is converted into thermal energy in a resistor at the rate of 5 watts per…

Q: 1. Find the unknown quantities for the network below using the information provided. I-3A R1 (2A R2…

A: So the value of I2 is We know the kirchoof's junction law I3=I1+I23=2+I2I2=3-2I2=1 A

Q: 4. Fret if a 1 is increased three times and qz is reduced to 2 : 5. Fnet if g2 is increased three…

A: Given data: The net force between two charges is given as, Fnet = 500 N Formula used: According to…

Q: Directions: Briefly and concisely answer the following questions. 1. What is the net force? 2. How…

A: The problem is based on the concept of force on a particle placed inside the electric and magnetic…

Q: Four charges form an isosceles trapezoid: Q1 = +2C is located at vertex X; Q2 = -3C is located at…

A: Charge q1 =+2C q2 =-3C q3 =+4C q4= - 5C We have the net force exerted by charge 1,2,3 on charge 4

Q: 1. N Find the magnitude of the vector B = - 2.00f + 3.00ĵ – 4.00k.

A: B→=-2.00j^+3.00j^-4.00k^=1.00j^-4.00k^B→=1.002+-4.002=4.12

Q: 13. Calculate the magnitude of the acceleration of the asteroid, relative to the spaceship. (a)…

Q: 3. Refer to the figure below. What is the magnitude and direction of electric field at point Y from…

A: 3) Draw the schematic diagram of the system.

Q: 8. Determine the acceleration of the block up the hill. The coefficient of friction is 0.1 M= 3.0 kg…

Q: 4. What is the rate of heat transfer by radiation, with an unclothed person standing in a dark room…

A: Given, Ambient Temperature =24°C Skin temperature =32°C Surface Area =1.6 m2. Emissivity of skin…

Q: A particle is moving up and down the y-axis, and its position function is given by the graph below.…

A: Here we need to draw a velocity time graph from displacement time graph. There are 3 intervals in…

Q: O O O O O Four charged particles (qa. 9b. qc. and qd) are at the corners of a square as shown below.…

A: Direction of Electrostatic force between two point charges depends upon sign of both charges. For…

Q: A ball was launched straight up with 32m/s. At what height is the object after 3s? 140 m 45 m 96 m…

A: Given data: Initial velocity (u) = 32 m/s Time (t) = 3 sec Need to determine the height of the ball…

Q: 59. A cart is uniformly accelerating from rest. The net force acting on the cart is (1) decreasing…

A: 59) Given statement : a cart is uniformly accelerating from rest

Q: 21 32 043 054

A: The velocity vectors - v21 and - v43 will be opposite to their positive counterparts as shown in the…

Q: 44. (a) What is the equivalent resistance between points A and B? (b) A 276-V emf is connected to…

Q: 1. It is the splitting of white light into its constituent colors. A. Diffraction B. Dispersion C.…

Q: 8-7 and 8-8 11. If the bowling ball from problem 7 rolls without slipping down a ramp from an…

A: “Since you have posted multiple questions, we will provide the solution only to the specified sub…

Q: A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies…

Q: The expanding gases that leave the muzzle of a rifle also contribute to the recoil. A.30 caliber…

A: The mass of the bullet is The speed of the bullet relative to the muzzle is The mass of the rifle is…

Q: A glass cover is placed over a water drop on a glass slide. When this is done, orange light (A= 605…

Q: 40. A 100 g ice cube at -10°C is placed in an aluminum bucket librium temperature of 20°C. What is…

Q: The SI unit for length is: kilometer mile meter inch

A: The S.I. unit of length is meter.

Q: Electrical energy is converted into thermal energy in a resistor at the rate of 5 watts for 1…

A: Given Rate of power consumption (P) = 5 W Time (t) = 1 minutes = 60 seconds Total…

Q: An object is placed in front of a convex mirror with a 25.0-cm radius of curvature. A virtual image…

Q: QUESTION 27 An object weights 12 N when fully submerged in water. If the buoyant force acting on the…

Q: An astronaut leaves Earth on a space journey, travelling at a speed of 0.95c, and returns to Earth…

A: Given: In this question, the given details are, An astronaut leaves Earth on a space journey,…

Q: A projectile is launched with an initial velocity of 60 m/s at an angle of 600 above the horizontal.…

A: Required : Horizontal component of the velocity of the projectile.

Q: QUESTION 24 A force of 20N is applied horizontally to a block of mass 5kg. The coefficient of…

A: 24. The acceleration of the block is given by F-f=maF-μkmg=maa=F-μkmgm

Q: 3. A particle with mass m and charge q=+1.6× 10C has a speed of v-4.5x10' m/s at point A. It enters…

A: As given in figure the diameter of the semicircle is d=50cm=0.5m Therefore its radius is r=d/2=0.25m…

Q: 1. Please answer the question ty!

A: Given that Mass m=1 slug Spring constant k=9 lb/ft Given initial condition at t=0 y0= 1 ft and y0'=3…

Q: 4. WHICH HAS MORE ACCELERATION WHEN MOVING IN A STRAIGHT LINE- A CAR İNCREASING ITS SPEED FROM 75…

Q: Required information A 55.0-kg lead ball is dropped from the Leaning Tower of Pisa. The tower is…

Q: 1. (Problem 22-1) A proton travels with a speed of 3.00 x 106 m/s at an angle of 37.0° with the…

A: speed of proton = V = 3 X 106 m/smagnetic field = B = 0.3 Tangle = 370

Question

3. Kindly answer this

**Problem:**

Three forces, when added, produce a resultant force that is 100N pointing 65° above the +x-axis. If one of the forces (F₁) is 50N in the +y-axis and another force (F₂) is 100N in a direction 45° below the +x-axis, find the magnitude and direction of the third force (F₃).

*(by Sir Fabro, SI Edition)*

---

**Explanation:**

This problem involves vector addition and resolution. You need to use trigonometry to resolve the forces into their components and apply the principle of vector addition to find the unknown force, F₃. The key steps are:

1. **Resolve F₁ and F₂ into their components:**
- F₁ = 50N along +y-axis. Components: (0, 50).
- F₂ = 100N at 45° below +x-axis. Components can be found using trigonometric functions (cosine and sine).

2. **Determine the components of the resultant force:**
- Resultant = 100N at 65° above +x-axis. Use trigonometry to resolve into x and y components.

3. **Apply vector addition:**
- Sum the components of F₁, F₂, and F₃ to equal the components of the resultant force.

4. **Solve for F₃:**
- Use the component equations to find the magnitude and direction of F₃.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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.