The figure shows Atwood's machine, in which two containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0 container 1 has mass 1.2 kg and container 2 has mass 2.7 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.21 kg/s. At what rate is the acceleration magnitude of the containers changing at (a)t = 0 and (b)t = 5 s? (c) When does the acceleration reach its maximum value? (a) Number (b) Number (c) Number Units Units Units Click if you would like to Show Work for this question: Open Show Work

The figure shows Atwood's machine, in which two containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0 container 1 has mass 1.2 kg and container 2 has mass 2.7 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.21 kg/s. At what rate is the acceleration magnitude of the containers changing at (a)t = 0 and (b)t = 5 s? (c) When does the acceleration reach its maximum value? (a) Number (b) Number (c) Number Units Units Units Click if you would like to Show Work for this question: Open Show Work

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)...

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A uniform chain of length L and mass M lies on a frictionless horizontal table with a very small part hanging from the edge of the table. The chain begins to fall under the weight of the hanging part. Obtain the expression for the velocity of the chain at the instant when the length of the hanging part becomes L/n where n > 1.
Two blocks (with masses M1 and M2), which can be modeled as point masses, are connected by a massless string that passes through a hole in a frictionless table. A tube extends out of the hole in the table so that the portion of the string between the hole and M1 remains parallel to the top of the table. Block 1 is a distance r from the center of the frictionless surface. Block 2 hangs vertically underneath. Assume that M2 does not move relative to the table and that M1 is rotating around the table. a) What is the speed of M1 in meters per second? (b) How much time, in seconds, does it take for M1 to make one revolution?
Atwood's machine, in which two containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0, container 1 has mass 1.30 kg and container 2 has mass 2.40 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.262 kg/s. (a) At what rate is the acceleration magnitude of the containers changing at t = 0? m/s3(b) At what rate is the acceleration magnitude of the containers changing at t = 3.00 s? m/s3(c) When does the acceleration reach its maximum value? s
Two people, one with mass 50 kg and one with mass 60kg are sitting opposite each other in rolling chairs and each person puts their feet against the other person's feet. They then push off horizontally. The lighter person accelerates (temporarily) backward at 1.2 m/s2. What is the magnitude of the acceleration that the heavier person experiences?
The experiment done in lab is repeated, using a ball that has unknown mass m. You plot your data in the form of f 2 versus M/L, with f in rev/s, M in kg, and L in m. Your data falls close to a straight line that has slope 6.69 m/(kg · s2). Use g = 9.80 m/s2 and calculate the mass m of the ball.
Two blocks, which can be modeled as point masses, are connected by a massless string which passes through a hole in a frictionless table. A tube extends out of the hole in the table so that the portion of the string between the hole and M1 remains parallel to the top of the table. The blocks have masses M1= 1.9 kg and M2= 2.8 kg. Block 1 is a distance r= 0.35 m from the center of the frictionless surface. Block 2 hangs vertically underneath. How much time, in seconds, does it take for block one, M1, to make one revolution? Assume that block two, M2, does not move relative to the table and that block one, M1, is rotating around the table.
A block of mass m1 = 16.4 kg is on a frictionless table to the left of a second block of mass m2 = 17.7 kg, attached by a horizontal string (see the figure below). HINT Two masses, m1 and m2, are placed on a horizontal surface such that they do not touch and m1 is to the left of m2. The left and right ends of a string are, respectively, attached to m1 and m2. A horizontal rightward arrow labeled vector F extends from m2. (a) If a horizontal force of 1.33 ✕ 102 N is exerted on the block m2 in the positive x-direction, use the system approach to find the acceleration (in m/s2) of the two blocks. m/s2 (b) What is the tension (in N) in the string connecting the blocks? N
Inclined plane diagram: Also String 1 String 2 String 1 B C A The diagram above shows Carts B and C which roll without friction over an inclined plane. The plane is inclined at an angle of theta = 0 away from vertical, as shown in the diagram. Carts B and C are connected by an essentially massless string. Another massless string runs from Cart B over a massless and frictionless pulley to a hanging block, Block A.
Three blocks with masses 6 kg, 9 kg, and 10 kg are connected as shown below. The coefficient of friction between the table and the 10 kg block is 0.20. Find (a) the acceleration of the system and (b) the tension in the cord on the left and in the cord on the right.
Two blocks of mass M₁ and M₂ are connected by a massless string that passes over a massless pulley as shown in the figure. M₁ has a mass of 3.75 kg and rests on an incline of 0₁ = 65.5°. M₂ rests on an incline of 02 = 23.5°. Find the mass of block M₂ so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless. M2 M₂ = kg
At a time when mining asteroids has become feasible, astronauts have connected a line between their 3070-kg space tug and a 5580-kg asteroid. They pull on the asteroid with a force of 307 N. Initially the tug and the asteroid are at rest, 436 m apart. How much time does it take for the ship and the asteroid to meet?
A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels from the ground after t seconds is given by s(t) = -16 t² + 560 t. Apply calculus to find the velocity of the rocket 3 seconds after being fired. Two objects move on a horizontal frictionless surface along the same line in the same direction which we shall refer to as the forward direction. The trailing object of mass has a velocity of forward. The leading object of mass has a velocity of forward. The trailing object catches up with the leading object and the two objects experience a completely inelastic collision. By using the rule of conservation of Momentum, calculate is the final velocity of each of the two objects?