*89. ssm A person whose weight is 5.20 × 10² N is being pulled up ver- tically by a rope from the bottom of a cave that is 35.1 m deep. The maximum tension that the rope can withstand without breaking is 569 N. What is the shortest time, starting from rest, in which the person can be brought out of the cave?

*89. ssm A person whose weight is 5.20 × 10² N is being pulled up ver- tically by a rope from the bottom of a cave that is 35.1 m deep. The maximum tension that the rope can withstand without breaking is 569 N. What is the shortest time, starting from rest, in which the person can be brought out of the cave?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 33P: Two blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33....

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Two blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33. (a) If the elevator moves with an upward acceleration a of magnitude 1.60 m/s2, find the tensions T1 and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0 N, what maximum acceleration can the elevator have before a string breaks? Figure P4.33 Problems 33 and 34.
(a) An elevator of mass m moving upward has two forces acting on it: the upward force of tension in the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater. T or w? (b) When the elevator is moving at a constant velocity upward, which is greater. T or w2 (c) When the elevator is moving upward, but the acceleration is downward, which is greater. T or w? (d) Let the elevator have a mass of 1500 kg and an upward acceleration of 2.5 m/s2. Find T. Is your answer consistent with the answer to part (a)? (e) The elevator of part (d) now moves with a constant upward velocity of 10 m/s. Find T. Is your answer consistent with your answer to part (b)? (f) Having initially moved upward with a constant velocity, the elevator begins to accelerate downward at 1.50 m/s2. Find T Is your answer consistent with your answer to part (c)?
35. QIC (a) Find the tension in each cable supporting the 6.00 × 10²-N cat burglar in Figure P4.35. (b) Suppose the hori- zontal cable were reattached higher up on the wall. Would the tension in the other cables increase, decrease, or stay the same? Why? 37.0° 600 N Figure P4.35
e 3. Cur 7. Two students push a 260 kg piano across the floor. Kathy pushes with 280 N [forward] while Matt pushes with 340 N [forward]. The piano accelerates at 0.30 m/s² [forward]. (a) What is the coefficient of kinetic friction? (b) How long will it take the piano to stop moving after pushing it for 6.2 s from rest?
A skier wishes to build a rope tow to pull herself up a ski hill that is inclined 15° with the horizontal. Calculate the tension needed in the rope to give the skier's 54 kg body an acceleration of 1.2 m/s². Ignore friction.
You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of 2400 kg (including passengers). For passenger comfort, you choose the maximum ascent speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and the maximum acceleration magnitude to be 5.00 m/s2. Ignore friction. What is the maximum upward force that the supporting cables exert on the elevator car?
Three identical blocks connected by ideal (massless) strings are being pulled along a horizontal frictionless surface by a horizontal force. The magnitude of the tension in the string between blocks B and C is T = 5.10 N. Assume that each block has mass m = 0.500 kg. What is the tension TAB in the string between block A and block B? %D T A В
7. A decoration, of mass M, is suspended by a string from the ceiling inside the elevator. The elevator is traveling upward with a constant speed. The tension in the string is
T2 T1 2 0, crate A supply crate is dropped from an airplane to the survivors of a devastating hurricane. For safety purposes, the crate has two parachutes which deploy from and keep the crate falling at a constant and vertical velocity. The parachutes make upward angles 61 = 35.0° and 62 = 48.0° with the horizontal. If the tension in the parachute making angle 61 is T1 = 142 N, what must the mass of %3D the crate be?
81. CD A 205-kg log is pulled up a ramp by means of a rope that is par- allel to the surface of the ramp. The ramp is inclined at 30.0° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.900, and the log has an acceleration of magnitude 0.800 m/s². Find the tension in the rope.
3. During a military training in Camp Jizmundo, Libas, Banga, Aklan , a sky diver of weighing 82 kg ( including equipment ) falls vertically downward from an altitude of 1500 meters, and opens the parachute after 10 sec of free fall. Assume that the force of air resistance is proportional to velocity. The air drag coefficient before opening the chute is k = 1.65 kg/sec , when the parachute is closed and after opening the chute k2 = 26.4 kg/sec.Take g = 9.8 m/s². (a) Find the speed of the sky diver when the parachute opens ? (b) Find the distance fallen before the parachute opens.
86. mmh The drawing shows a large cube (mass = 25 kg) being acceler- ated across a horizontal frictionless surface by a horizontal force P. A small cube (mass = 4.0 kg) is in contact with the front surface of the large cube and will slide downward unless P is sufficiently large. The coefficient of static friction between the cubes is 0.71. What is the smallest magnitude that P can have in order to keep the small cube from sliding downward? -Hs = 0.71 Frictionless