**Analysis of Forces on a Trunk****Problem Statement:**The figure illustrates three forces applied to a 5.00 kg trunk, which moves leftward by 3.00 m over a frictionless floor. The magnitudes of the forces are as follows:- \( F_1 = 5.00 \, \text{N} \)- \( F_2 = 9.00 \, \text{N} \)- \( F_3 = 3.00 \, \text{N} \)The angle \( \theta \) given is \( 60.0^\circ \).**Tasks:**- (a) Determine the total work done on the trunk by all forces, including the normal force and gravity, during the displacement.- (b) Assuming the trunk started from rest, calculate its final speed after being displaced 3.00 m.**Diagram Description:**The diagram shows a trunk on a floor with:- \( \vec{F_1} \) directed horizontally to the left.- \( \vec{F_2} \) directed upwards and to the right, at a \( \theta = 60.0^\circ \) angle relative to the horizontal.- \( \vec{F_3} \) directed vertically downward.Coordinates:- \( \theta \) is the angle between the horizontal axis and \( F_2 \).- The diagram indicates the directions of the forces using arrows.**Note:** The effects of gravity and normal force need consideration when calculating the net work done on the trunk.

Answered: Image /qna-images/answer/189ede2c-c033-4248-9fef-cbe4a28a1329.jpg

he figure below shows three forces applied to a 5.00 kg trunk that moves leftward by 3.00 m ver a frictionless floor. The force magnitudes are F1 = 5.00 N, F2 = 9.00 N, and F3 = 3.00 N, %3D %3D %3D nd the indicated angle is 0 = 60.0°. (a) During the displacement, what is the total work done n the trunk by all forces (including the normal force and gravity)? (b) If the trunk was initially t rest, what is its final speed after being displaced 3.00 m? %3D F2 F3 halliday e g 07 27 Copyright2011 Johe Wiey& Sons Inc. All rights reserved

he figure below shows three forces applied to a 5.00 kg trunk that moves leftward by 3.00 m ver a frictionless floor. The force magnitudes are F1 = 5.00 N, F2 = 9.00 N, and F3 = 3.00 N, %3D %3D %3D nd the indicated angle is 0 = 60.0°. (a) During the displacement, what is the total work done n the trunk by all forces (including the normal force and gravity)? (b) If the trunk was initially t rest, what is its final speed after being displaced 3.00 m? %3D F2 F3 halliday e g 07 27 Copyright2011 Johe Wiey& Sons Inc. All rights reserved

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

An applied force of 20 N i pushes an object that is initially at rest over a horizontal surface. The coefficient of kinetic friction is 0.450 and the mass is 1.4 kg. If the net work done at some point is 60.6 J, what is the object's speed at that point?
Starting from rest, a 5.00-kg block slides 2.50 m down a rough 30.0incline. The coefficient of kinetic frictionbetween the block and the incline is μk=0.436. Determine (a) the work done by the force of gravity, (b) the work done by the friction force between block and incline, and (c) the work done by the normal force. (d) Qualitatively, howwould the answers change if a shorter ramp at a steeper angle were used to span the same vertical height?
A horizontal force, acts on an 8N box. The box moves 12 m horizontally at a constant speed. The coefficient of kinetic friction is 0.25. Determine the work done by the horizontal force.
A crate with a mass of 35.0 kg is pushed with a horizontal force of 150 N. The crate moves at a constant speed across a level, rough surface a distance of 5.30 m. (a) What is the work done (in J) by the 150 N force? J (b) What is the coefficient of kinetic friction between the crate and the surface?
A 17.9 kg block is dragged over a rough, horizontal surface by a constant force of 111 Nacting at an angle of angle 31.1◦above the horizontal. The block is displaced 60 m and the coefficient of kinetic friction is 0.152. Find the work done by the 111 N force. The acceleration of gravity is 9.8 m/s2.Answer in units of J. Find the magnitude of the work done by the force of friction.Answer in units of J What is the sign of the work done by the frictional force?1. positive2. negative3. zero Find the work done by the normal force.Answer in units of J What is the net work done on the block?Answer in units of J.
Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 85.0 kg down a 60° slope at constant speed, as shown in the figure. The coefficient of friction between the sled and the snow is 0.100. (a) How much work is done by friction as the sled moves 30.0 m along the hill. Enter to 3 significant figures W fric (b) How much work is done by the rope on the sled in this distance? Hint: use Newton's second law to find the tension. Enter to 3 significant figures Wrope W. grav 60° J (c) What is the work done by the gravitational force on the sled? Enter to 3 significant figures J W₁ W J (d) What is the work done by the normal force? WN= J total (e) What is the total work done? Enter to 3 significant figures Note: When adding work done by individual forces, DO NOT ROUND THE VALUES TO FIND THE SUM. J Sense-making: If the speed of the rescue sled & the victim is constant, what do you expect the total work done on the rescue sled and the victim to be? Does your answer support…
A horizontal force of 150 N is used to push a 40.0-kg packing crate a distance of 6.00 m on a rough horizontal surface. If the crate moves at constant speed, find (a) the work done by the150-N force and (b) the coefficient ofkinetic friction between the crate and surface.
A 15 kg box is pulled with an applied force of 40 N with a rope at an angle of 30 degreesabove the horizontal with a constant velocity. The box is pulled 10.0 m over a time of 5.0seconds. Determine the work done on the box by the applied force.
A man returning from ice fishing trip pulls a sled with fish. Total mass of the sled and fish is 50.0 kg. (b) Suppose the coefficient of kinetic friction between sled and snow is 0.20. The man pulls the sled 5.0 m by exerting a force of 120 N at 0°. Find the work done by force of frictional.