An object of mass m has these three forces acting on it (there is no normal torce, "no surface"). F₁, F2, and F3 as shown in the figure on the right. When answering the questions below, assume the x-direction is to the right, and the y-direction is straight upwards. F-F₂1-31-F₁j✓ Correct! F← Write a symbolic expression for the net force in component form. Give your answer in terms of F₁, F2, F3, and the unit v

An object of mass m has these three forces acting on it (there is no normal torce, "no surface"). F₁, F2, and F3 as shown in the figure on the right. When answering the questions below, assume the x-direction is to the right, and the y-direction is straight upwards. F-F₂1-31-F₁j✓ Correct! F← Write a symbolic expression for the net force in component form. Give your answer in terms of F₁, F2, F3, and the unit v

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 67P

See similar textbooks

Related questions

Q: Using Representations PART A: The dot at right represents the student on the ride after the floor…

Q: An 87 kg person stands on a uniform ladder 4.0 m long, that weighs 90 N , as shown in the…

A: Given, mass of a person m = 87 kg length of uniform ladder L = 4.0 m weight of ladder W2 = 90 N…

Q: Add vector arrows in the order listed below, you get the correct answer. Also put Theta; in for part…

Q: Find th magnitudes of f1, f2, and f3

A: Given Data: Person mass, m=88 kg Ladder mass, M=5 kg Vertical height, a=3.8 m Ladder length, L=4 m…

Q: Four forces in a plane, act at a point O, the values and directions of the forces are being as shown…

Q: A wagon is being pulled with a force of 140 N, so that the handle makes an angle of 30° with the…

A: Given,Force, Angle, Friction force,

Q: At the instant illustrated, car B has a speed of 40 km/h and car A has a speed of 51 km/h. Determine…

Q: Part (a) What is the resultant force in terms of the force vectors F₁ and F₂? Part (b) What is the…

Q: Part A If the magnitude of the resultant force acting on the eyebolt is 580 N and its direction…

A: the components of given forces are F1x=F1cosϕF1y=F1sinϕF2x=500cos60°=250NF2y=500sin60°=433.01…

Q: Part A T 400 mm 300 mm B A DO MAB= 0.3 PA = 0.1 P Using the coefficients of static friction…

A: Width of the block B is The height of block B is The coefficient of static friction between blocks A…

Q: Express acceleration of as a function of the listed components

A: the values provided in the question are as follows- mass = m1 and m2 friction= u for calculating…

Q: Four forces act on a particle that is in equilibrium where F3 and P are in the xz-plane. The…

A: Write the force F1 in vector form.Write the force F2 in vector form.Write the force F3 in vector…

Q: c) Express the forces in the component form. For example, the force F₁ shown in Fig.2 can be written…

Q: An object is stuck at the origin. Two forces, F and F2, are applied to it to release it. The force…

Q: Knowing that F3 110 N and 8 = 40°, determine the magnitude and direction of the resultant of the 3…

Q: Three positive particles of equal charge, +22.0 µC, are located at the corners of an equilateral…

Q: The 80 kg box rests motionless on the 20° incline. Determine all of the forces on the box.200a) In…

A: The objective of the question is to determine all the forces acting on the box which is resting on…

Q: Suppose that a boat weighs 400 pounds and is on a ramp inclined at 30°. Represent the force due to…

Q: The diagram below describes three force vectors that are acting on a particular object. F₁ yo F₂ F3…

Q: Two forces, F₁ and F2, act at a point. F₁ has a magnitude of 8.40 N and is directed at an angle of…

Q: In the figure to the right, two forces are shown acting at the origin. On the left, the vector…

Q: Problem 14. For the system shown to the right, find the corresponding equa- tions e = Ax, y = Ce,…

A: Consider the given equations as below. e=Ax…

Q: Needs Complete solution with 100 % accuracy don't use chat gpt or ai i definitely upvote you. Be…

A: The objective of the question is to determine the magnitude and sense of the forces in members A and…

Q: Find the Resultant of the following Forces by Component Method. F₁ = 12 N. West F₂= 24 N,…

A: Free body diagram gives whole idea of the forces acting. Force brings about motion and changes in…

Q: Problems 1. A stuffed owl is sitting on a pillar, and is being pushed by a toy boat which is being…

A: To fill the coulomn draw the FBD of the systems. Let's define the forces:- W = represent weight.…

Q: Determine the magnitude and direction, measured counterclockwise from the positive x-axis, of the…

A: We know that the magnitude of the resultant can be determined using Cosine's law FR = FA = 825 NFB =…

Q: Am = 60 kg woman practices her tight rope routine on a slackline in her backyard. The line is tied…

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

### Understanding Forces Acting on an Object

**Context:**
An object of mass \( m \) is subjected to three different forces \( F_1 \), \( F_2 \), and \( F_3 \). There is no normal force acting on the object (i.e., "no surface" is present). As depicted in the figure, the directions of the forces are as follows:
- \( F_1 \) acts downwards.
- \( F_2 \) acts to the right.
- \( F_3 \) acts to the left.

When solving for the resultant force, assume that the x-direction is to the right and the y-direction is straight upwards.

**Figure Description:**
The figure shows a blue square representing the object. Three vectors represent the forces:
- \( F_1 \) is pointing downward.
- \( F_2 \) is pointing to the right.
- \( F_3 \) is pointing to the left.

#### Problem 1: Net Force in Component Form

**Task:**
Write a symbolic expression for the net force in component form. Give your answer in terms of \( F_1 \), \( F_2 \), \( F_3 \), and the unit vectors \( \mathbf{i} \) and \( \mathbf{j} \).

**Solution:**
\[ \mathbf{F} = F_2 \mathbf{i} - F_3 \mathbf{i} - F_1 \mathbf{j} \]
(The answer is marked as correct.)

#### Problem 2: Calculating the Magnitude of the Net Force

**Given:**
- \( F_1 = 3 \, \text{N} \)
- \( F_2 = 10 \, \text{N} \)
- \( F_3 = 1 \, \text{N} \)

**Task:**
Calculate the magnitude of the net force, in Newtons.

To find the magnitude \( | \mathbf{F} | \), use the provided calculator interface (assuming proper use of trigonometric functions or direct calculation).

#### Problem 3: Angle and Magnitude of the Acceleration

1. **Angle \(\theta\):**
What is the angle \(\theta\), in degrees, of the net force measured from the +x-axis? Enter an angle between -180° and 180°.

2. **Magnitude of Acceleration \( |a

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.

Similar questions

A cosmic ray muon with mass m = 1.88 1028 kg impacting the Earths atmosphere slows down in proportion to the amount of matter it passes through. One such particle, initially traveling at 2.50 108 m/s in a straight line, decreases in speed to 1.50 108 m/s over a distance of 1.20 km. a. What is the magnitude of the force experienced by the muon? b. How does this force compare to the weight of the muon?
Review. A force platform is a tool used to analyze the performance of athletes by measuring the vertical force the athlete exerts on the ground as a function of time. Starting from rest, a 65.0-kg athlete jumps down onto the platform from a height of 0.600 m. While she is in contact with the platform during the time interval 0t 0.800 s, the force she exerts on it is described by the function F = 9 200t 11 500 t2 where F is in newtons and t is in seconds. (a) What impulse did the athlete receive from the platform? (b) With what speed did she reach the platform? (c) With what speed did she leave it? (d) To what height did she jump upon leaving the platform?
A block of ice (m = 15.0 kg) with an attached rope is at rest on a frictionless surface. You pull the block with a horizontal force of 95.0 N for 1.54 s. a. Determine the magnitude of each force acting on the block of ice while you are pulling. b. With what speed is the ice moving after you are finished pulling? Repeat Problem 71, but this time you pull on the block at an angle of 20.0.
Three billiard balls, the two-ball, the four-ball, and the eight-ball, are arranged on a pool table as shown in Figure P7.26. Given the coordinate system shown and that the mass of each ball is 0.150 kg, determine the gravitational force on the eight-ball due to the other two balls.
In Chapter 9, we will define the center of mass of an object and prove that its motion is described by the particle under constant acceleration model when constant forces act on the object. A gymnast jumps straight up, with her center of mass moving at 2.80 m/s as she leaves the ground. How high above this point is her center of mass (a) 0.100 s, (b) 0.200 s, (c) 0.300 s. and (d) 0.500 s thereafter?
1:25 PM Sun Jan 23 *L 24% O 18. A 0.20 kg object moves along a straight line. The net force acting on the object varies with the object's displacement as shown in the graph above. The object starts from rest at displacement x = 0 and time t = 0 and is displaced a distance of 20 m. 4 Force (N) 2- 1 22 Determine each of the following: 10 12 Displacement (m) 2 4 6 8 14 16 18 20 a. The acceleration of the particle when its displacement x is 6 m. (20 m/s) b. The time taken for the object to be displaced the first 12 m. (1.1 s) c. The amount of work done by the net force in displacing the object the first 12 m. (48 J) d. The speed of the object at displacement x = 12 m. (22 m/s) 149 e. The final speed of the object at displacement x = 20 m. (25.3 m/s) 309
A 4.0 kg mass moving at 2 m/s and a 2 kg mass moving at 4 m/s are gliding over a frictionless surface. Both objects encounter the same horizontal force, which directly opposed their motion and are brought to rest. Which statement correctly describes the situation? a. The 2.0 kg mass travels twice as far as the 4.0 kg mass before stopping. b. The 2.0 kg mass travels farther but necessarily twice as far. c. The 4.0 kg mass travels twice as far as the 2.0 kg mass before stopping. d. The 4.0 kg mass loses more kinetic energy than the 2.0 kg mass. e. Both masses travel the same distance before stopping.
The figure shows the net force exerted on an object as a function of the position of the object. The object starts from rest at position x = 0 m and acquires a speed of 3.0 m/s after traveling a distance of 0.090 m. What is the mass of the object? What is the most important thing you need to remember from this type of problem? A) 0.060 kg B) 0.030 kg C) 0.045 kg D) 0.015 kg
¥ Question Completion Status: QUESTION 1 Three identical blocks of mass m on a frictionless surface are connected by massless taut strings. A force Fis applied on the rightmost block as shown in the figure below so that each block moves to right with acceleration a. T2 T1 Applying Newton's second law on the rightmost block: EFx= = ma Applying Newton's second law on the block at the center: EFx = T2 D Applying Newton's second law on the leftmost block: EFx= = ma %3D If each block has a mass of 10 kg and is accelerating at 2 m/s-, the magnitude of the tension on the second string is T2 = N. QUESTION 2
Calculate the force that a 5 kg block exerts as it rests on the Earth's surface. Assume the gravitational acceleration of Earth is 9.8 m/s2 Calculate the force that a 247 g block exerts as it rests on the Earth's surface. Assume the gravitational acceleration of Earth is 9.8 m/s?
34
Please asap