### 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

4. The tension T2 has a magnitude of 60.0 N and the masses m₁ = 10.0 kg, m2 = 8.00 kg, and m3 = 12.0 kg. Determine the acceleration of the masses and the tension T1. m₁ T₁ m₂ m3 T₂
1. Three blocks, with masses m₁: 5.60 kg, m2 = 5.10 kg, and m3 7.80 kg, are pulled on a horizontal frictionless surface by a 19.0 N force that makes a 28.0° angle (0) with the horizontal (see figure). What is the magnitude of the tension between the m₁ and m2 blocks? N m3 = m₂ m₁ F
2. You are moving the box (m=1Okg) across a rough floor by pushing on it at an angle of 20° below the horizontal with force of magnitude F=100N. What is the coefficient of kinetic friction between the box and the floor if it is moving at constant velocity? Present free-body diagram. 10°
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
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
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…
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
نغمة الرنین Two masses m,=5 Kg and m2=5 Kg are connected with string and pulled with a force F=26 N that makes an angle 0 =53° with a smooth horizontal surface as shown in the figure. Find the tension in the string (Newton). m2 A. 3.912 B. 15.65 C. 7.823 D. 11.06 E. None II >
A1 kg cart is connected to a 2 kg cart. The 1 kg cart feels 9 N of friction and the 2 kg cart feels 18 N of friction. If you pull on the 2 kg cart with a force of 36 N to the right. what is the force of tension between the two carts?
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?