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?
Chris, a recent physics major, wanted to design and carry out an experiment to show that an objects mass determines its inertia. He used an ultrasound device to measure acceleration of a low-friction cart attached to a hanging block to provide the same force on the cart during each run (Fig. P6.76A). Chris varied the mass of the cart by varying the number of lead rods placed in it. Chris used Newtons second law Fx=FT=Max to predict his results. He reasoned that because FT is the same for each run, the carts acceleration should be inversely proportional to its mass: ax=FTM=constantM(1) Chriss goal was to show that his data fit Equation (1). He decided to analyze his results by plotting ax as a function of 1/M; Equation (1) predicted that he should get a straight line, passing through the origin with a slope equal to the tension (red line in Fig. P6.76B): Chris ran several trials for each run, averaged his results and estimated the error. He then plotted his data (green line in Fig. P6.76B). Chris was excited to see that he correctly predicted that the data fell along a straight line: ax=(0.27N)1M(0.048m/s2) According to the straight-line fit to the data, the slope of the line is 0.27 N, which was close to the weight of the hanging mass and therefore close to the tension in the string. Chris, though, was disappointed to see that the line had a negative intercept. Mathematically, as M, 1M0. Chris was confused because he believed that as the mass increased, the carts acceleration should approach zero. He was quite sure that he did not discover some new property of inertia or mass. After convincing himself that he was not being careless in the laboratory and that his data were correct, he started to search for an explanation for the discrepancy between his prediction and his data. Help Chris find an explanation. FIGURE P6.76 A. Chriss experimental apparatus. B. Chriss prediction (red line) and experimental results (green line).
A textbook rests on a movable wooden plank that is initially parallel to the ground. a. How does the normal force on the book compare to the gravitational force on the book as it rests in the horizontal position? b. If you push down on the book, what happens to the magnitude of the normal force as it rests in the horizontal position? c. The normal force on the book is part of a third-law interaction pair. Describe the third-law partner of this normal force.
Figure P7.45 shows a picture of American astronaut Clay Anderson experiencing weightlessness on board the International Space Station. a. Most people have the misconception that a person in a spacecraft is weightless because he or she is no longer affected by gravity. Show that this premise cannot be true by computing the gravitational field of the Earth at an altitude of 200 km the typical altitude of a spacecraft in orbit. Compare this result with the gravitational field on the surface of the Earth. b. Why would astronauts in orbit experience weightlessness even if they are experiencing a gravitational field (and therefore a gravitational force)?
In a laboratory model of cars skidding to a stop, data are measured for four trials using two blocks. The blocks have identical masses but different coefficients of kinetic friction with a table: k = 0.2 and 0.8. Each block is launched with speed vi = 1 m/s and slides across the level table as the block comes to rest. This process represents the first two trials. For the next two trials, the procedure is repeated but the blocks are launched with speed vi = 2 m/s. Rank the four trials (a) through (d) according to the stopping distance from largest to smallest. If the stopping distance is the same in two cases, give them equal rank. (a) vi = 1 m/s, = 0.2 (b) vi = 1 m/s, k = 0.8 (c) vi = 2 m/s, = 0.2 (d) vi =2 m/s, k = 0.8
You have just planted a sturdy 2-m-tall palm tree in your front lawn for your mother's birthday. Your brother kicks a 500 g ball, which hits the top of the tree at a speed of 5 m/s and stays in contact with it for 10 ms. The ball falls to the ground near the base of the tree and the recoil of the tree is minimal. (a) What is the force on the tree? (b) The length of the sturdy section of the root is only 20 cm. Furthermore, the soil around the roots is loose and we can assume that an effective force is applied at the tip of the 20 cm length. What is the effective force exerted by the end of the tip of the root to keep the tree from toppling? Assume the tree will be uprooted rather than bend. (c) What could you have done to ensure that the tree does not uproot easily?
One great form of athletic competition for bulldogs, American pit bull terriers, huskies, and many other breeds is the weight pull. Many of these dogs can pull weights two orders of magnitude greater than their own weight! Railsplitter, an American pit bull terrier, can pull a sled that has a total weight of 2215 lb along a horizontal surface. Suppose he pulls with a horizontal force of 3.50 103 N while friction is also working against the sled. If the magnitude of the net acceleration of the sled is 0.152 m/s2, find the value of the coefficient of kinetic friction, k, between the sled and the pulling surface. (The sled is normally on a set of rails.)
A 0.500-kg potato is fired at an angle of 80.0 above the horizontal from a PVC pipe used as a “potato gun” and reaches a height of 110.0 m. (a) Neglecting air resistance, calculate the potato’s velocity when it leaves the gun. (b) The gun itself is a tube 0.430 m long. Calculate the average acceleration of the potato in the tube as it goes from zero to the velocity found in (a). (c) What is the average force on the potato in the gun? Express your answer in newtons and as a ratio to the weight of the potato.