### Tension in a String Connected to Two Boxes**Problem Description:**Two boxes are connected to each other by a string in a system, as shown in the figure. The 10-N box slides without friction on a horizontal table surface. The pulley is ideal, and the string has negligible mass. The question is about determining the tension \( T \) in the string.**Hint:** You can solve this without needing to solve for the tension exactly.**Visual Representation:**In the provided figure:- The 10-N box rests on a horizontal table.- A string is connected to this 10-N box and goes over a pulley.- The other end of the string is connected to a 30-N weight, which hangs vertically off the table.### Possible Answers:1. \( T = 10 \, \text{N} \)2. \( T = 40 \, \text{N} \)3. \( T = 30 \, \text{N} \)4. \( T < 30 \, \text{N} \)5. \( T > 30 \, \text{N} \)### Explanation:Consider the forces acting on both boxes:1. **For the 30-N weight (hanging vertically):** - The force of gravity acting downward is 30 N. - The tension \( T \) in the string acts upward. If the system were at equilibrium, the tension \( T \) would equal the weight, i.e., 30 N. However, since the 30-N weight is causing the 10-N box to accelerate, the tension must be less than 30 N in order to account for the net force required to accelerate the system.2. **For the 10-N box (on the table):** - The tension \( T \) in the string pulls the box horizontally.### Conclusion:The tension \( T \) in the string is causing the 10-N box to accelerate horizontally, and the same tension is counteracting part of the 30-N weight's force. Therefore:\[ T < 30 \, \text{N} \]So, the correct answer is:- \( T < 30 \, \text{N} \)This setup allows students to understand the principles of tension in strings, forces in equilibrium, and the effects of acceleration in a frictionless environment.

In the given question, Weight of the block kept on a horizontal surface (w) = 10kg Mass of the block…

Two boxes are connected to each other by a string as shown in the figure. The 10-N box slides without friction on the horizontal table surface. The pulley is ideal and the string has negligible mass. What is true about the tension T in the string? (HINT you can solve this without needing to solve for the tension exactly)

Two boxes are connected to each other by a string as shown in the figure. The 10-N box slides without friction on the horizontal table surface. The pulley is ideal and the string has negligible mass. What is true about the tension T in the string? (HINT you can solve this without needing to solve for the tension exactly)

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 129N tightrope walker stands at the center of the rope such that each half of the rope makes an angle of 5 degrees with the horizontal. What is the tension in the rope?
A 5.00-kg block is on a level tabletop where the coefficient of kinetic friction between the block and the surface of the table is 0.500. The 5.00- kg block is connected to a vertically-hanging 4.00-kg block via a cable that passes over a 2.00-kg, 5.00-cm radius pulley fastened to the edge of the table. The portion of the cable directly over the surface of the table is also level. (See the diagram below.) What is the linear acceleration of the system? 5.00-kg block 0165 m² Ob-2.65 m/s² OC 194 m/s² Od 354 m/s² Oe-1.47 m/s² 2.00-kg, 5.00-cm radius pulley -4.00-kg block
A tutor told me that the answer to 1b was 10N but I don't understand why it would be 10N for the tension. If that is correct could someone break it down for me?
A system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The B block has a mass of 9.3 kg and is on a perfectly smooth horizontal table. The surfaces of the A block, which has a mass of 8.2 kg, are rough, with μk=μk= 0.25 between the block and the table. If the C block with mass 9.9 kg accelerates downward when it is released, find its acceleration.
Hi I needed help with this. An athlete with a mass of 53.5 kg is doing pushups as shown in the figure below. The value for rW⊥ is 1.00 m and the value for rR⊥ is 1.60 m. (a) Assuming she moves upward at a constant speed, determine the force she must exert on the floor with each hand to do a push-up.(b) The triceps muscle in the back of her upper arm with an effective lever arm of rT⊥ = 1.70 cm, as shown in the figure below, and she exerts force on the floor a horizontal distance of r 'R⊥ = 2.05 cm from the elbow joint. Determine the force in the triceps muscle.In order to appreciate the strength of the triceps, determine the ratio of the force in the tricep muscle to her weight (in decimal form). FT/W = ?
Help
You are building a robot to drive around a vineyard and measure soil moisture. The geometry of the system is shown in the figure. If the robot weights 20kg., how much force can it apply to the soil probe when it just starts to lift the front wheels off the level ground? Write your answer to the nearest Newton. 80 cm probe is pusted
At what maximum speed can a car manage a turn on a wet, level road with coefficient of static friction 0.230 without sliding out of control? The radius of the turn is 25.0 m
Problem A block of mass m is placed on a rough surface inclined relative to the horizontal. The incline angle is increased until the block start to move. Show that you can obtain the coefficient of static friction ug by measuring the critical angle 0 where slipping occurs. mg pino to .... my 18.
A 1.5 kg block is connected by a rope across a 50-cm-diameter, 2.0 kg pulley, as shown. There is no friction in the axle, but there is friction between the rope and the pulley; the rope doesn’t slip. The weight is accelerating upward at 1.2 m/s2. What is the tension in the rope on the right side of the pulley?
A student gets his car stuck in a snow drift. Not at a loss, having studied physics, he attaches one end of a stout rope to the vehide and the other end to the trunk of a nearby tree, allowing for a small amount of slack. The student then exerts a force F on the center of the rope in the direction perpendicular to the car-tree line, as shown in the figure below. If the rope is inextensible and if the magnitude of the applied force is 504 N, what is the force on the car? (Assume equilibrium conditions.) KN 12 m Tree 0.50 m
The joint angle between thigh and leg is θ = 90°. The resistive forces are the weights of the leg and the foot. The distance between the axis of rotation of the knee joint and the center of mass of the leg is dLEG = 8.6 in, the distance to the center of mass of the foot is dFT = 49 cm. The angle of attachment for the hamstring muscle is λ = 108°. The insertion point of the hamstring is a distance dHAM = 2.5 cm away from the knee joint axis. The mass of the foot is mFT = 1.25 kg, the mass of the leg is mLEG = 3.9 kg. What is the magnitude of FHAM to maintain this position?