### Example Problem on Tension Between Blocks**Problem Statement:**Four blocks, with masses $m_1 = 5.70 \, \text{kg}$, $m_2 = 5.00 \, \text{kg}$, $m_3 = 7.30 \, \text{kg}$, and $m_4 = 7.90 \, \text{kg}$, are pulled on a horizontal frictionless surface by a $44.0 \, \text{N}$ force that makes a $22^\circ$ angle $\theta$ with the horizontal (see the figure below). What is the magnitude of the tension between the $m_3$ and $m_4$ blocks?**Answer Box:**- **Tension between $m_3$ and $m_4$:** [___________] N**Illustrative Diagram:**- The diagram shows four blocks aligned in a straight line on a frictionless surface: - Block $m_4$ is at the far left side, connected to Block $m_3$ with a rope. - Block $m_3$ is next, connected to Block $m_2$ with a rope. - Block $m_2$ is connected to Block $m_1$ with a rope. - Block $m_1$ is at the far right, being pulled to the right by a force $\vec{F}$ at an angle $\theta$ with the horizontal. - The force $\vec{F}$ is represented by an arrow pointing upwards to the right, creating an angle $\theta = 22^\circ$ with the horizontal axis.**Purpose:**This problem aims to test the understanding of forces, tension, and Newton's Second Law in a system involving multiple connected masses. Analyzing such a system helps in understanding how forces and tensions distribute among different masses.**Hints:**Consider breaking down the forces acting on each block and applying Newton's laws to solve for the unknowns. Make sure to account for the angle of the applied force in your calculations.

Answered: Image /qna-images/answer/10ca69f1-6d5a-40a7-957c-a6be604801fc.jpg

1. Four blocks, with masses m₁ = 5.70 kg, m2 = 5.00 kg, m3 = 7.30 kg, and m4 = 7.90 kg, are pulled on a horizontal frictionless surface by a 44.0 N force that makes a 22° angle (0) with the horizontal (see figure). What is the magnitude of the tension between the m3 and m4 blocks? N m4 m3 ssf60 s160 ss(60 ssi m2 ssfox ssf60 ssi 50 ssf60 ssf60 O ss50 sf60 ssf60 ss $160 ssf60 ss m₁ F e

1. Four blocks, with masses m₁ = 5.70 kg, m2 = 5.00 kg, m3 = 7.30 kg, and m4 = 7.90 kg, are pulled on a horizontal frictionless surface by a 44.0 N force that makes a 22° angle (0) with the horizontal (see figure). What is the magnitude of the tension between the m3 and m4 blocks? N m4 m3 ssf60 s160 ss(60 ssi m2 ssfox ssf60 ssi 50 ssf60 ssf60 O ss50 sf60 ssf60 ss $160 ssf60 ss m₁ F e

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

T2 W To hang a 6.00 kg pot of flowers, two wires are used-one attached horizontally to a wall, the other sloping upward at an angle of 45degree and attached to the ceiling. Find the tension in each wire. * O T1 = 83.16 N ; T2 = 58.80 N O Tị = 58.80 N ; T2 = 83.16 N
The figure shows two blocks of wood connected by a light string. The first block has mass m, = 4.90 kg and the second block has mass m, = 2.20 kg. A constant horizontal force of magnitude P = 16.0 N acts on the first block and both blocks are sliding to the right. The coefficient of kinetic friction between each block and the horizontal surface is ur = 0.100. m2 Determine the magnitude of the tension T in the string connecting the blocks. X N Question 4.5b: Two blocks with masses m, 4.60 kg and m, = 7.40 kg are connected by a light string, as in the figure. Mass m, is descending and mass m, is moving to the right across a horizontal surface with a coefficient of kinetic friction given by µK = 0.160. m, m, Determine the acceleration a of m, and the magnitude T of the tension in the string. a = m/s?
339 8 20 A 20 kg box is resting on horizontal surface initially. Then a F =50 N force pulls on the angle of 20 degrees above horizontal. The kinetic frictional coefficient is 0.20. 6. What is the horizontal component of the force Fx ? box by a cord at an FN =soNo a 47 N C. 18.2 N b. 17.1 N d. 29 N Fx 7. What is the normal force acting on the box? 777 c. 196 N a. 47 N b. 179 N d. 125 N M9
A mountain biker is climbing a steep 20° slope at a constant speed. The cyclist and bike have a combined weight of 800 N. Referring to the figure for guidance, what can you say about the magnitude of the normal force ofthe ground on the bike?A. n > 800 NB. n = 800 NC. n < 800 N
Three boxes are pulled along a horizontal frictionless floor by a constant horizontal pull P. The boxes are connected by very light horizontal strings having tensions T1 and T2 as shown in the figure. Which of the following statements about the tensions is correct? T₂ T₁ 10 20 N N 100 N O A.T1 > T2 OB.T1 = P OC. T2 = P O D. T2 > T1 P
A 1.0-kg block slides on a rough horizontal surface. A force, P = 9.0 N, is applied to the block at an angle to the horizontal as shown. The magnitude of the block's acceleration along the surface is 3.5 m/s?. What is the magnitude of the force of friction acting on the block? 30° 1.2 N 4.3 N 6.5 N O 15 N 7.2 N 9.0 N
4. The Trendelenburg Position. In emergencies with major blood loss, the doctor will order the patient placed in the Trendelenburg position, in which the foot of the bed is raised to get maximum blood flow to the brain. If the coefficient of static friction between the typical patient and the bedsheets is 1.20, what is the maximum angle at which the bed can be tilted with respect to the floor before the patient begins to slide? Consider that the mass = 1.5 kg 5. Consider the shown in the figure below. Block A weighs 45.0 N and block B weighs 25.0 N. Once block B is set into downward motion, it descends at a constant speed. (a) Calculate the coefficient of kinetic friction between block A and the tabletop. (b) A cat, also of weight 45.0 N, falls asleep on top of block A. If block B is now set into downward motion, what is its acceleration (magnitude and direction)? m₁ P 6. In the figure below. m₁ = 20.0kg and a = 53.1º. The coefficient of kinetic friction between the block and the…
1. A horizontal force P the plane, and a horizontal force P= 350 N is required to just push the block up the plane. Determine the coefficient of static friction between the plane and the crate, and find the weight of the block. 100 N is just sufficient to hold the block from sliding down 30° 2. Blocks A and B weigh 200 N and 150 N, respectively. They are connected together with a cable and placed on the inclined plane. If the angle 0 is gradually increased, determine 0 when the crates begin to slide. The coefficients of static friction between the crates and the plane are HA 0.25 and HB= 0.35.
2. A large box is pulled by a person with a force as shown in the figure. The angle = 25°. What is the magnitude of the force that is needed to keep the box moving at constant velocity if the mass of the box is m = 27.5 kg and the coefficient of kinetic friction between the box and the floor is 0.22? N 8
6. A mass m1 = 4.90 kg block on a tabletop is attached by a string to a hanging block of mass m2 the figure. The coefficient of kinetic friction between the mass (m;) and the surface is 0.20. The blocks are released from rest and allowed to move freely. Find the magnitude of the tension in the string. 50 ssf60 ssf60 s 60 ssf60 ssfó0 ssf60 ssf60 ssf60 s 00 ssf60 2.30 kg, as shown in 60 sf60 ssf602 60 ssf60 ssf60sf60 60 ss sT60 ssf60 ssf60 ssf60 s ssf60 ssf60 ssf60 ssf60 ssf60 s 60 ssf60 ssf60
4. A 50.0-kg crate is being pulled along a horizontal smooth sSurface. The pulling force is 10.0 N and is directed 20.0° above the horizontal. What is the magnitude of the acceleration of the crate? A) 0.0684 m/s2 B) 0.188 m/s2 C) 0.200 m/s2 D) 0.376 m/s2 E) 0.0728 m/s2 Final formula: Required steps: 1) Draw free body diagram 2) Choose reference frame 3) Find vectors components 4) Apply Newton's 2nd law 5) Solve for a algebraically 6) Check units 7) Substitute numerical values
Find T₁ The hanging sphere off the table has a mass of 2.98 kg. The string makes a 27.1° angle to the ceiling. How much does the sphere weigh? N Find T₂ T₁ N N e N The block on the table does not move. How much friction must be acting between the table and the block?