Problem Solving: Free-Body Diagrams and Newton's Laws 1. Draw a sketch of the situation. 2. Consider...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Problem Solving: Free-Body Diagrams and Newton's Laws 1. Draw a sketch of the situation. 2. Consider only one object (at a time), and draw a free-body diagram for that body, showing all the forces acting on that body. Do not show any forces that the body exerts on other bodies. If several bodies are involved, draw a free-body diagram for each body separately, showing all the forces acting on that body. 3. Newton's second law involves vectors, and it is usually important to resolve vectors into components. Choose an x and y axis in a way that simplifies the calculation. 4. For each body, Newton's second law can be applied to the x and y components separately. That is the x component of the net force on that body will be related to the x component of that body's acceleration: Fx = max, and similarly for the y direction. 5. Solve the equation or equations for the unknown(s). Apply these steps Use the steps outlined above to find the magnitude of the acceleration a of a chair and the magnitude of the normal force FN acting on the chair: Yusef pushes a chair of mass m = 55.0 kg across a carpeted floor with a force Fp (the subscript 'p' here is lowercase and throughout the question) of magnitude Fp = 170 N directed at 0 = 35.0 degrees below the horizontal (Figure 1). The magnitude of the kinetic frictional force between the carpet and the chair is F = 108 N. Part C Use the component form of Newton's second law to write an expression for the x component of the net force, Fx. Express your answer in terms of some or all of the variables: FG, FN, Fp, 0, and Fk. View Available Hint(s) Fx = Fpcos (0) - Fk = max Submit Previous Answers Part D Correct Use the component form of Newton's second law to write an expression for the y component of the net force, Fy. Express your answer in terms of some or all of the variables: FG, FN, Fp, 0, and Fk. View Available Hint(s) = Fy FN-FG - Fpsin (0) = may Part E What is the magnitude of the acceleration a of the chair? What is the magnitude of the normal force FN acting on the chair? Express your answers, separated by a comma, in meters per second squared and newtons to three significant figures. View Available Hint(s) Hint 1. Find the component of the acceleration in the y direction Hint 2. Find the weight of the chair a, FN = = ? m/s, N hand. Part E Figure What is the magnitude of the acceleration a of the chair? What is the magnitude of the normal force FN acting on the chair? Express your answers, separated by a comma, in meters per second squared and newtons to three significant figures. View Available Hint(s) Hint 1. Find the component of the acceleration in the y direction The chair only moves in the postive x direction. What is ay? Express your answer in meters per second squared. ay = 0 m/s Submit Previous Answers = a + a Because 1 of 1 Correct The magnitude of the acceleration, a is found from ax and ay:a = ay = 0, a = ax Hint 2. Find the weight of the chair What is the weight of the chair? Express the weight in newtons to three significant figures. View Available Hint(s) FG = 540 N Submit Previous Answers Correct Correct Important: If you use this answer in later parts, use the full unrounded value in your calculations. Now you can use the equation you obtained by summing the forces in the y direction to find FN. ? c. a, FN 0.378,629 = Submit Previous Answers Request Answer Incorrect; Try Again; 5 attempts remaining m/s, N Problem Solving: Free-Body Diagrams and Newton's Laws 1. Draw a sketch of the situation. 2. Consider only one object (at a time), and draw a free-body diagram for that body, showing all the forces acting on that body. Do not show any forces that the body exerts on other bodies. If several bodies are involved, draw a free-body diagram for each body separately, showing all the forces acting on that body. 3. Newton's second law involves vectors, and it is usually important to resolve vectors into components. Choose an x and y axis in a way that simplifies the calculation. 4. For each body, Newton's second law can be applied to the x and y components separately. That is the x component of the net force on that body will be related to the x component of that body's acceleration: Fx = max, and similarly for the y direction. 5. Solve the equation or equations for the unknown(s). Apply these steps Use the steps outlined above to find the magnitude of the acceleration a of a chair and the magnitude of the normal force FN acting on the chair: Yusef pushes a chair of mass m = 55.0 kg across a carpeted floor with a force Fp (the subscript 'p' here is lowercase and throughout the question) of magnitude Fp = 170 N directed at 0 = 35.0 degrees below the horizontal (Figure 1). The magnitude of the kinetic frictional force between the carpet and the chair is F = 108 N. Part C Use the component form of Newton's second law to write an expression for the x component of the net force, Fx. Express your answer in terms of some or all of the variables: FG, FN, Fp, 0, and Fk. View Available Hint(s) Fx = Fpcos (0) - Fk = max Submit Previous Answers Part D Correct Use the component form of Newton's second law to write an expression for the y component of the net force, Fy. Express your answer in terms of some or all of the variables: FG, FN, Fp, 0, and Fk. View Available Hint(s) = Fy FN-FG - Fpsin (0) = may Part E What is the magnitude of the acceleration a of the chair? What is the magnitude of the normal force FN acting on the chair? Express your answers, separated by a comma, in meters per second squared and newtons to three significant figures. View Available Hint(s) Hint 1. Find the component of the acceleration in the y direction Hint 2. Find the weight of the chair a, FN = = ? m/s, N hand. Part E Figure What is the magnitude of the acceleration a of the chair? What is the magnitude of the normal force FN acting on the chair? Express your answers, separated by a comma, in meters per second squared and newtons to three significant figures. View Available Hint(s) Hint 1. Find the component of the acceleration in the y direction The chair only moves in the postive x direction. What is ay? Express your answer in meters per second squared. ay = 0 m/s Submit Previous Answers = a + a Because 1 of 1 Correct The magnitude of the acceleration, a is found from ax and ay:a = ay = 0, a = ax Hint 2. Find the weight of the chair What is the weight of the chair? Express the weight in newtons to three significant figures. View Available Hint(s) FG = 540 N Submit Previous Answers Correct Correct Important: If you use this answer in later parts, use the full unrounded value in your calculations. Now you can use the equation you obtained by summing the forces in the y direction to find FN. ? c. a, FN 0.378,629 = Submit Previous Answers Request Answer Incorrect; Try Again; 5 attempts remaining m/s, N
Expert Answer:
Posted Date:
Students also viewed these physics questions
-
The following information is available for ABC Company for their inventory of baseballs: Beginning inventory: 25 units at $10 each. Purchases of inventory: 350 units at $10 each. Sales: 362 units at...
-
PLEASE GIVE CORRECT ANSWERS Prove that the number of comparators in any sorting network is (n log n). [4 marks] (ii) What does Part (d)(i) imply in terms of the depth of any sorting network? [1 mark]...
-
The new line character is utilized solely as the last person in each message. On association with the server, a client can possibly (I) question the situation with a client by sending the client's...
-
Did you have imaginary friends when you were a young child? What do you remember about them and their value to you?
-
In Problem 3.63 on page 134, you were introduced to a tea- bag- filling operation. An important quality characteristic of interest for this process is the weight of the tea in the individual bags....
-
An electron is trapped in a one-dimensional infinite well and is in its first excited state. Figure indicates the five longest wavelengths of light that the electron could absorb in transitions from...
-
Abbott Laboratories is a diversified health care company devoted to the discovery, development, manufacture, and marketing of innovative products that improve diagnostic, therapeutic, and nutritional...
-
Sales on account for the first two months of the current year are budgeted as follows: Jan. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $700,000 Feb. . . . . . . . . ....
-
In the past, it was theorized that years, new information has suggested that firms were the most likely to innovate. In recent firms are greater innovators. If true, this makes antitrust intervention...
-
Calls on a stock are selling for $25 (X= $ 110, T=1 year). Risk free rate is 10% per year. You are an investment banker and you want to sell a 'guaranteed investment contract (GIC)'. This is the...
-
discuss the role of continuous feedback and coaching in performance management, emphasizing the importance of ongoing dialogue, skill development, and performance improvement planning in driving...
-
discuss the ethical considerations and potential biases inherent in performance evaluation processes, such as halo effects, leniency biases, and demographic disparities, and what strategies can...
-
Consider a 5 - year credit default swap with annual payments. Assume that defaults can happen only halfway through each year. The hazard rate is 5 % with continuous compounding and the recovery rate...
-
discuss the ethical considerations inherent in automated decision-making systems, particularly concerning transparency, accountability, and fairness ?
-
Discuss two ways ( each ) that the mobile phone industry and healthcare industry might be transformed through digital disruption.
-
3. T Corporation is considering the acquisition of M Corporation. M Corporation generates earnings before interest and tax of $2.75 million a year, and asset replacement cost approximately equals...
-
Determine by direct integration the values of x for the two volumes obtained by passing a vertical cutting plane through the given shape of Fig. 5.21. The cutting plane is parallel to the base of the...
-
CarpetWorld employs a departmental supervisor for each of its two departments, Carpet and Drapery. Departmental supervisors receive a biweekly salary and monthly commissions of 1% of net sales. They...
-
Use the payroll register from Application Problem 3-2. Instructions: 1. Record the March 19 payroll payment on page 6 of a cash payments journal. The source document is Check No. 463. 2. Use a grid...
-
Use the payroll register from Application Problem 3-2. A partially completed employee earnings record for each of CarpetWorlds employees appears in the Working Papers. Instructions: Complete the...
Study smarter with the SolutionInn App