**Problem Description:**During a move, you and two friends decide to move a heavy dresser. You pull the dresser to the right with a force \( F_1 = 4.93 \, \text{N} \). One friend applies a downward force of \( F_2 = 3.27 \, \text{N} \) on the dresser. The other friend pulls with a force of \( F_3 = 8.58 \, \text{N} \) at an angle of 60 degrees, as depicted in the diagram. If the three of you manage to slide the dresser 3.24 m towards the right, what is the net work done on the dresser by the three forces?**Diagram Explanation:**- The diagram shows a coordinate system with the \( x \)-axis pointing to the right and the \( y \)-axis pointing upward.- A brown rectangular block represents the dresser.- Force \( F_1 \) is shown as an arrow pointing to the right along the \( x \)-axis.- Force \( F_2 \) is a downward arrow aligned with the \( -y \)-axis.- Force \( F_3 \) is an arrow positioned at a 60-degree angle from the horizontal axis, pointing upwards and to the left.- The displacement \( \Delta x \) is indicated to the right along the \( x \)-axis.**Calculation of Net Work Done:**To calculate the net work done by these forces, we need to consider only the components of the forces that are parallel to the direction of displacement (\( \Delta x \)).1. **Work done by \( F_1 \):** \[ W_1 = F_1 \cdot \Delta x = 4.93 \, \text{N} \times 3.24 \, \text{m} = 15.98 \, \text{J} \]2. **Work done by \( F_2 \):** - Since \( F_2 \) is perpendicular to the direction of motion, it does no work. \[ W_2 = 0 \]3. **Work done by \( F_3 \):** - The horizontal component of \( F_3 \) is \( F_{3x} = F_3 \cos(60^\circ) \).

Name: **Problem Description:**During a move, you and two friends decide to
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: **Problem Description:**During a move, you and two friends decide to move a heavy dresser. You pull the dresser to the right with a force \( F_1 = 4.93 \, \text{N} \). One friend applies a downward force of \( F_2 = 3.27 \, \text{N} \) on the dresse

Given: The value of force F1 is 4.93 N. The value of force F2 is 3.27 N. The value of force F3 is…

Science

Physics

During a move, you and two friends decide to move a heavy dresser. You pull the dresser to the right with force F,= 4.93 N. One useless friend leans on the dresser with a downward force of F,= 3.27 N. The other friend pulls with a force of F,= 8.58 N at an angle of 60 degrees as indicated in the image below. If the three of you manage to slide the dresser 3.24 m towards the right, what is the net work done on the dresser by the three forces? y F2

During a move, you and two friends decide to move a heavy dresser. You pull the dresser to the right with force F,= 4.93 N. One useless friend leans on the dresser with a downward force of F,= 3.27 N. The other friend pulls with a force of F,= 8.58 N at an angle of 60 degrees as indicated in the image below. If the three of you manage to slide the dresser 3.24 m towards the right, what is the net work done on the dresser by the three forces? y F2

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 crate is pulled up using frictionless pulleys, as shown in the diagram, at an angle of 45 degrees. The masses are: for the small pulley, m1 = 2.5kg, for the travelling pulley, M2 = 3.0kg, and for the crate, MC = 13.0kg. What is the minimum tension (in Newtons) with which the operator must pull, in order to slowly raise the crate?
Two blocks each of mass m = 3.90 kg are fastened to the top of an elevator as in the figure below. (a) If the elevator accelerates upward at 1.6 m/s?, find the tensions T1 and T2 in the upper and lower strings. T1 88.92 T2 44.46 N N (b) If the strings can withstand a maximum tension of 99.0 N, what maximum acceleration can the elevator have before the first string breaks? Your response differs from the correct answer by more than 10%. Double check your calculations. m/s? 1.60 m/s m D m
A 5.00 kg (m₁) block and a 7.25 kg (m₂) block are hanging on opposite sides of a pulley. Assume that the pulley is frictionless, and the string has negligible mass and cannot be stretched. What is the sum of the forces acting on the block of mass m₁?
Two people are pulling a heavy 95 kg box across the floor as shown in the figure. Person A is pulling in the x-direction only with a force of 20 N. Person B is pulling at an angle e = 40° above the x-direction, also with a force of 20 N. What is the total pulling force on the box in the x-direction?
The diagram below is a top-down view of two children pulling a 11.6-kg sled along the snow. The first child exerts a force of F1 = 10 N at an angle ?1 = 45° counterclockwise from the positive x direction. The second child exerts a force of F2 = 6 N at an angle ?2 = 30° clockwise from the positive x direction. (A) Find the magnitude (in N) and direction of the friction force acting on the sled if it moves with constant velocity. magnitude = ? direction (counterclockwise from the +x-axis) = ? (B) What is the coefficient of kinetic friction between the sled and the ground? (C) What is the magnitude of the acceleration (in m/s2) of the sled if F1 is doubled and F2 is halved in magnitude?
Two ropes apply a force to a boat. The first is 400 N in the positive x direction, and the second is 200 N in the positive y direction. At what angle must a third rope tension be applied in order to keep the boat at rest
The forces F1 and F2 Where F1=(-8i+8j-4k)N anf F2=(-4i-4j-2k)N , act through the point A with positive vector (i-2j-3k)m .A third force F3=(18i-6j+9k)N acts through the point B with position vector (-i-4j-4k)m i)Show that the system of the three forces F1,F2 and F3 is equivalent to a single force F and find F With detailed steps please
A block weighing 15.0 N rests on the floor. (a) What size force does the floor exert on the block? (b) A rope is tied to the block and is run vertically over a pulley. The other end is attached to a free-hanging 10.0 N object. What now is the size of the force exerted by the floor on the 15.0 N block?
A 32 kg child puts a 15 kg box into a 12 kg wagon. The child then pulls horizontally on the wagon with a force of 65 N. If the box does not move relative to the wagon, what is the static friction force on the box?
You and your friend are moving a 82kg box across the floor at a constant speed. You are pushing on the crate parallel to the ground with a force of 62N. Your friend has a rope tied to the box and they are pulling it at an angle of 37° to the ground with a force of 32N. Construct the free body diagram showing the force acting on the crate in order to find the magnitude of friction the floor exerts on the box.
Blocks with masses of 3.0 kg, 4.0 kg, and 5.0 kg are lined up in a row on a frictionless table. All three are pushed forward by a 17 N force applied to the 3.0 kg block. How much force does the 4.0 kg block exert on the 5.0 kg block? How much force does the 4.0 kg block exert on the 3.0 kg block?
A block with mass m = 9 kg is attached to two %3D ropes as shown below. What is the magnitude of the tension in each of these ropes, T = ? Use g = 10 m/s?. %3D 50 32.6 N O 45.7 N O 52.2 N 39.2 N O 58.7 N