Solve the following problems. Show solutions and answers on the space provided. 1. A box weighing 450 N is pulled along a level floor at constant speed by a rope that makes an angle of 30° with the floor as shown in the figure. If the force on the rope is 260 N, find: 30° a) the components of the force parallel and perpendicular to the floor; b) the normal force; c) the value of kinetic friction; and

Solve the following problems. Show solutions and answers on the space provided. 1. A box weighing 450 N is pulled along a level floor at constant speed by a rope that makes an angle of 30° with the floor as shown in the figure. If the force on the rope is 260 N, find: 30° a) the components of the force parallel and perpendicular to the floor; b) the normal force; c) the value of kinetic friction; and

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)...

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1. Your free body diagram for Part 1 should have looked it this. F. max Drag and drop the heads and tails of the vectors to construct the free-body diagram. Note: the applied force is directed to the right. Note: the angles may be within ±15°, and the magnitudes are not considered. = Suppose you have a 120-kg wooden crate resting on a wood floor. Use µg = 0.5 and μ = 0.3 . Assume all quantities are correct to 3 significant figures. a = 1.96 ffric; 180° (b) What is the maximum force you can exert horizontally on the crate without moving it? Enter to 3 significant figures ✔N N: 90° a m/s² mg; 270° F:0° (c) If you continue to exert this force once the crate starts to slip, what will its acceleration then be? Enter to 3 significant figures
Your diagram from Knowledge Check: Static Friction, Part 1 should have looked like this: 1. Drag and drop the heads and tails of the vectors to construct the free-body diagram. 2. Note that angles do not need to be exact and magnitudes are not considered. fs; 180° Please answer the following question(s): N; 90° = mg; 270° Fapplied; 0° 1. A block of mass 8.0 kg rests on a table with μ = 0.3. A force F applied pushes the block. (a) Calculate the maximum force of static friction. Enter to 2 significant figures ✔N fs,max¯ (b) If Fapplied 17 N pulls the block, calculate the magnitude of force of friction f. Assume all quantities are correct to 2 significant figures. Enter to 2 significant figures fs = ✔N
Consider the system in the picture below: a cart of mass M with a static friction coefficient u is connected through a massless string to a hanging mass m. M is a capital letter, m is lower case. Write them as such, or vour equations will be confusing, M We want to find the maximum value of the hanging mass m such that the system is in equilibrium. 1. Free body diagram (FBD): Draw a FBD for each: the Cart and the hanging mass. Clearly show all the forces. 2. Clearly write the equilibrium equations for the cart in the horizontal and vertical direction. 3. Clearly write the equilibrium equation for the hanging mass. 4. Solve the system of the three equations above for the hanging mass m. Show your calculation to get credit. 5. What would happen if mass m exceeds this value? Explain.
For each of the following guestion, please explain and bold your explanation and answer. Use this scenario for questions 1 and 2. A 49.0 kg box is sitting at rest. In order to change the box's state of motion, Jamie must apply 80 Newtons of force on the box. Which of the following represents a possible value for the force of static friction when Jamie applied 75 Newtons of force on the box? 1. А. 74.9 N В. 75.1 N С. ON D. 200 N 2. How much magnitude of force does the box exert back on Jamie's hand? Answer:
Problem 1: A block with a mass of m rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction. The second acts on the body at an angle 0 measured from horizontal, as shown. If necessary, use Fs and Fk for the forces of static and kinetic friction. L. F Please use the interactive area below to draw the Free Body Diagram for this block, assuming it is in static equilibrium. FBD : Fn, F1, Fg, F2, Fs, Fk, a, v 45, 0, 90, 135, 180, 225, 270, 315, 0 Force Labels: Angle Labels: m.
Problem solving: Show your complete solution for each problem. A light rope is attached to a block with a mass of 6kg that rests on a horizontal, frictionless surface. The horizontal rope passes over a frictionless, massless pulley, and a block of mass m is suspended from the other end. When the blocks are released, the tension in the rope is 18N. (a) draw a free-body diagram for each block. (b) what is the acceleration of the 6-kg block? (c) what is the mass m of the hanging block? (d) using the value of the hanging mass calculated in part c, what would be the acceleration and the tension in the rope if the coefficient of kinetic friction between the 6-kg mass and the horizontal is 0.10? A work of 12 J is needed to stretch a certain spring by 30 cm a) What is the force constant of the spring? b) How much work must be done to stretch the spring 4.00 cm? c) When released from rest from 4.00 cm position what would be the speed at the unstretched position? A 2kg block is pulled up a ramp…
The previous step focused on friction for horizontal surfaces. As we discussed above, angled surfaces like the wedge below have different considerations. FN = mg cos(0) F₁ = mg F₁ = ? F₁ = ? Fy=mg cos(0) Specifically, we have the following considerations. 1. The normal force is not equal to mg. 2. There is a force acting along the angle of the wedge due to gravity. What is the coefficient of static friction ? Fx = mg sin(0) Let's consider the implications of this type of problem with the following examples. For all of the examples, the box has a mass of 25 kg. Imagine the box is on a surface that allows you to adjust the incline angle, 0. You find the maximum angle where the box remains stationary. That is, at any higher angle, and the box begins to slide. The static friction force at this maximum angle is 150 N. What is the angle 0 (in degrees)? Now you raise the incline to an angle of 60° greater than the angle of maximum static friction found above. At this angle, the box slides…
Use following scenario to answer parts a–f. (You may wish to use the graph on page 180of your textbook to help you.)You attach a force scale to a toboggan resting in the snow. a) What is the minimum value of static frictional force and under what conditionswould you observe that value on your force scale? b) What two (equal in magnitude and opposite in direction) forces is the scalemeasuring when you start to pull on the toboggan but it remains stationary? Bespecific. c) What happens to the number on the force scale as you start to pull on thetoboggan but it remains stationary? Explain. d) What happens to the toboggan if your applied force exceeds the maximum staticfrictional force? e) What happens to the number on the force scale in the moment the tobogganstarts to move? Explain. f) What two (equal in magnitude and opposite in direction) forces is the scalemeasuring when you pull on the toboggan and it moves at a constant speed. Bespecific.
A man pulls a crate with a rope. The crate slides along the floor in the horizontal direction (x direction). The man exerts a force of 50 N on the rope, and the rope is at an angle 0. Described how the force components (Fx,Fy) change as the angle increases from 0 degrees to 90 degrees and use your graph to explain your answer. Give a detailed explanation of the forces at 0= 0, 45degrees, and 90 degrees. please show a sample calculation at one angle for both components.
Find I and J values and please answer all parts of this question 3. Block 1 (10 kg) is setting on the floor of an elevator. The elevator is moving upward with an increasing speed and the magnitude of the acceleration is 2 m/s2. On a sheet of paper, draw the free body diagram for block 1 using the two-subscript notation from class. After completing the free body diagram, enter below each force and its x & y-components. (use g = 10 m/2) Remember that the x-component is the "i" component and the y-component is the "j" component. -NET force on Block 1 (round to nearest integer) Fnet1 = ——- i + ——- j N The DIRECTION of the net force on block 1 is in the same direction as its acceleration. If the elevator is moving upward with an increasing speed, then the direction of the block's acceleration is up (positive y-value). The MAGNITUDE of the net force on block 1 equals its mass times acceleration, which are both given in the problem. -FORCES on BLOCK 1 Weight force on block 1…
SHOW YOUR SOLUTIONS AND BOX YOUR FINAL ANSWER/S. USE BLACK BALLPEN FOR YOUR SOLUTIONS AND ANSWERS, BUT YOU CAN USE COLOR PENS FOR FIGURES AND FREE BODY DIAGRAMS ONLY THE CABLE BC CARRIES A TENSION OF 800N. WRITE THIS TENSION AS A FORCE T ACTING ON POINT B IN TERMS OF THE UNIT VECTORS I, J. AND K. THE ELBOW AT A FORMS A RIGHT ANGLE. 0.7 m 1.6 m 30° B 0.8 m