25. An object of mass m, hangs from a string that passes over a very light fixed pulley P, as shown in Figure P5.25. The string connects to a second very light pulley P2. A second string passes around this pulley with one end attached to a wall and the other to an object of mass m, on a frictionless, horizontal table. (a) If a, and a, are the accelerations of m and m, respectively, what is the relation between these accelerations? Find expressions for (b) the tensions in the strings and (c) the accelerations a, and ag in terms of the masses m, and m2, and g. 1 т2 тi

25. An object of mass m, hangs from a string that passes over a very light fixed pulley P, as shown in Figure P5.25. The string connects to a second very light pulley P2. A second string passes around this pulley with one end attached to a wall and the other to an object of mass m, on a frictionless, horizontal table. (a) If a, and a, are the accelerations of m and m, respectively, what is the relation between these accelerations? Find expressions for (b) the tensions in the strings and (c) the accelerations a, and ag in terms of the masses m, and m2, and g. 1 т2 тi

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 stack of two crates is being accelerated upwards by two cables. The cables are directly attached to crate 1 and the tension in each cable is 3248 N. You may assume that the masses of the cables are negligible compared to the masses of the crates. The acceleration of the crates is? bottom crate crate 1 is 109 kg. the top crate is 248 kg.
Tom travels to the moon for NASA. While on the moon, the total weight of Tom and his lunar exploration suit is 224 N. His suit has a mass of 50 kg. The acceleration due to gravity is 9.81 m/s2 on Earth and 1.67 m/s2 on the moon. What would his weight be on Earth without the heavy suit? 1. 490 N 2. 830 N 3. 987 N 4. 1304 N
.
2. A mass of 2.50 kg is at rest at time = 0. Do not consider friction in this problem. Two vector forces are applied to the mass. What is the resulting vector acceleration? F1 = 2.40 i + 1.50 j Newtons. F2 = 5.00 Newtons at an angle of 25.0°with the positive X axis.
A lamp hangs vertically from a cord in a descending elevator that decelerates at 1.7 m/s2. (a) If the tension in the cord is 63 N, what is the lamp's mass? (b) What is the cord's tension when the elevator ascends with an upward acceleration of 1.7 m/s2?
A woman pulls a cloth out from under a 200 g bowl sitting on a table. The bowl is 30.0 cm from the far edge of the cloth, and the cloth exerts a friction force of 0.125 N on the bowl. Assume the cloth is pulled with a constant horizontal acceleration of 2.80 m/s2. What distance (in m) does the bowl travel relative to the top of the table? (Assume the cloth moves in the +x-direction and notice that it moves more than 30.0 cm relative to the top of the table.)
1. You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A18 Hornet is 200 mph. The Hornet weighs 40,000 lbf and its twin engines provide a thrust of ~40,000 lbf combined, providing a max acceleration of 1g.a. How long must the deck be to takeoff unassisted? Give the answer in ft. b. This is most likely longer than your typical ~450 ft carrier. What acceleration must you achieve with both the engines and with a catapult system together to reach the required minimum speed by the end of the deck? c. What net force (combined engines and catapult) must be applied to the plane to get the acceleration in b? d. Do you think the plane will be able to use disk brakes on its tires to stop when landing?Use your knowledge of friction to make your argument. Also know that their coefficient of friction is ~1.
While pushing your 55.0 kg lawnmower across the lawn (μ = 0.100) you notice that the handle makes an angle that is 55.0° below the horizontal. What force must you push the lawnmower with in order to have it accelerate at 2.0 m/s²?
A 10.00 kg hockey puck on the end of a 2.50 m string is being swung in a circle on a frictionless floor and is traveling at a constant speed of 5.00 m/s. At how many g’s is it being accelerated by the string to keep it going in a circle? What is the tension in the string in N?
A physics student, in a stationary elevator, places a 220.0 g mass on an electronic balance. The student hits the elevator button and it begins to move upwards. While the elevator is accelerating upwards, the electronic balance reads 292.0 g. What is the acceleration of the elevator? Consider: UP to be (+), DOWN to be (-) and g =9.8 m/s? . Give your answer in m/s² to 1 decimal place
A 60 kg skydiver falls, beginning at rest. This isn't an ordinary skydive though, because it's taking place on an alien planet where g = 8 m/s2. The drag force on the skydiver is given by FD = -0.14 v (N). Calculate the speed of the skydiver after they have fallen for 322 s, in m/s. (Please answer to the fourth decimal place - i.e 14.3225)
A crate is moving as shown is slowed down by a pushing force P. The force P has a horizontal component of 200 newtons to the left and a vertical component 300 newtons down. The mass of the crate is 90 kgs and the coefficient of kinetic friction is 0.2 and static friction is 0.4. V P What is the magnitude of the acceleration of the crate? Answer in m/s². Use g = 10 m/s². Don't guess! Use the free body diagram method.