### Problem 4: Forces Acting on a 10 kg Object on a Rough Surface**Parameters:**- Mass of the object (\(m\)): 10 kg- Coefficient of static friction (\(\mu_s\)): 0.25- Coefficient of kinetic friction (\(\mu_k\)): 0.15**Questions:****(a)** Draw a Free Body Diagram (FBD) showing the forces acting on the body when pushed with a force of 20 N. What are the values of the frictional force and net force in this case? Is the frictional force static or kinetic?**(b)** Draw a Free Body Diagram (FBD) showing the forces acting on the body when pushed with a force of 40 N. What are the values of the frictional force and net force in this case? Is the frictional force static or kinetic?---### Explanation:#### **(a) Analysis of the Object When Pushed with 20 N:**1. **Free Body Diagram (FBD):** - The object is subject to the following forces: - Weight (\(W = mg = 10 \times 9.8 = 98 \text{ N}\)) - Normal force (\(N\)) exerted by the surface, which is equal to the weight (98 N) in magnitude but opposite in direction. - Applied force (\(F_{\text{push}} = 20 \text{ N}\)) - Frictional force (\(f\)) resisting the applied force.2. **Determine the Maximum Static Friction Force:** - \(f_{\text{static, max}} = \mu_s \times N = 0.25 \times 98 \text{ N} = 24.5 \text{ N}\)3. **Compare Applied Force to Maximum Static Friction:** - Since \(F_{\text{push}} (20 \text{ N}) < f_{\text{static, max}} (24.5 \text{ N})\), the frictional force will balance out the applied force, which means no motion will happen, and the frictional force is static.4. **Frictional Force and Net Force:** - \(f = 20 \text{ N}\) (static friction) - Net force \(F_{\text{net}} = F_{\text{push

Answered: Image /qna-images/answer/5f1258ee-cd9b-4ee7-bbe2-efe32918f64d.jpg

0.25, μk = 0.15. 4. A 10 kg object resting on a rough surface µ = (a) Draw a FBD diagram showing the forces acting on the body when pushed with the force of 20 N. What are the values of frictional force and net force in this case? Is frictional force static or kinetic? (b) Draw a FBD diagram showing the forces acting on the body when pushed with the force of 40 N. What are the values of frictional force and net force in this case? Is frictional force static or kinetic?

0.25, μk = 0.15. 4. A 10 kg object resting on a rough surface µ = (a) Draw a FBD diagram showing the forces acting on the body when pushed with the force of 20 N. What are the values of frictional force and net force in this case? Is frictional force static or kinetic? (b) Draw a FBD diagram showing the forces acting on the body when pushed with the force of 40 N. What are the values of frictional force and net force in this case? Is frictional force static or kinetic?

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

Similar questions

A block resting on a plane inclined at an angle 36o from the horizontal is being held in place by steel cables a, b, and c as shown in the figure below. The tension in cable b is 75.0 N. Note that cable a is parallel to the surface of the incline and that cable b is perfectly horizontal. a. determine the normal force N and the force due to gravity ??.b. What is the mass of the block in kilograms?
A block and a ball are connected by a string as shown in the figure. The block sits on a level, rough surface. The coefficient of static friction between the block and the surface is μ = 0.841. The ball hangs freely from the string. The mass of the block is 18.82 kg. What is the largest mass of a ball you could hang from the string without causing the block to slide?
A sled weighing 53.5 N is pulled horizontally across snow so that the coefficient of kinetic friction between sled and snow is 0.100. A penguin weighing 70.5 N rides on the sled, as in the figure below. If the coefficient of static friction between penguin and sled is 0.700, find the maximum horizontal force that can be exerted on the sled before the penguin begins to slide off.
A 40 N box is resting on a table when a 20 N force is applied to it horizontally. The coefficients of static and kinetic friction are 0.3 and 0.1, respectively. Which of the following best describes the resulting motion of the box? The motion of the box cannot be determined with the given information. The box accelerates in the direction of the applied force. The box remains at rest. The box moves with a constant velocity in the direction of the applied force.
A certain orthodontist uses a wire brace to align a patient's crooked tooth as in the figure below. The tension in the wire is adjusted to have a magnitude of 28.0 N. Find the magnitude of the net force exerted by the wire on the crooked tooth.
Braces are used to apply forces to teeth to realign them. Shown in this figure are the tensions applied by the wire to the protruding tooth. T = 27.5 N What is the magnitude of the net force that is exerted on the tooth (in N) if the tension in the wire is 27.5 N?