Consider the Atwood machine shown in the figure, where m1 = 2.00 kg and m2 = 6.85 kg. The system starts at rest, then the sphere is given a quick push downward, giving it an initial speed of 2.15 m/s. Assume the pulley and cord are massless, and the cord is inextensible. Neglect friction.(a)Through what distance (in m) will m1 descend?(b)What is the velocity (in m/s) of m1 after 1.80 s? Consider the Atwood machine shown in the figure, where m, = 2.00 kg and m, = 6.85 kg. The system starts at rest, thenthe sphere is given a quick push downward, giving it an initial speed of 2.15 m/s.m2Assume the pulley and cord are massless, and the cord is inextensible. Neglect friction.(a) Through what distance (in m) will m, descend?0.861Write Newton's second law for each mass, and solve the system of equations for a. Then use your result in akinematics equation to determine the distance. m(b) What is the velocity (in m/s) of m, after 1.80 s?|-7.52Apply a kinematics equation and the acceleration used to solve part (a) to find the magnitude of thevelocity at the given time. m/smagnitudedirectionupward

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Description: Consider the Atwood machine shown in the figure, where m1 = 2.00 kg and m2 = 6.85 kg. The system starts at rest, then the sphere is given a quick push downward, giving it an initial speed of 2.15 m/s. Assume the pulley and cord are massless, and the

Given data: m1=2.00 kg m2=6.85 kg Applying Newton’s second law for sphere: T-m1g=m1a…

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Consider the Atwood machine shown in the figure, where m1 = 2.00 kg and m2 = 6.85 kg. The system starts at rest, then the sphere is given a quick push downward, giving it an initial speed of 2.15 m/s. Assume the pulley and cord are massless, and the cord is inextensible. Neglect friction. (a) Through what distance (in m) will m1 descend? (b) What is the velocity (in m/s) of m1 after 1.80 s?

Consider the Atwood machine shown in the figure, where m1 = 2.00 kg and m2 = 6.85 kg. The system starts at rest, then the sphere is given a quick push downward, giving it an initial speed of 2.15 m/s. Assume the pulley and cord are massless, and the cord is inextensible. Neglect friction. (a) Through what distance (in m) will m1 descend? (b) What is the velocity (in m/s) of m1 after 1.80 s?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter7: Gravitation

Section: Chapter Questions

Problem 59A

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Concept explainers

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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Question

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Consider the Atwood machine shown in the figure, where

m₁ = 2.00 kg

and

m₂ = 6.85 kg.

The system starts at rest, then the sphere is given a quick push downward, giving it an initial speed of 2.15 m/s.

Assume the pulley and cord are massless, and the cord is inextensible. Neglect friction.

(a)

Through what distance (in m) will m₁ descend?

(b)

What is the velocity (in m/s) of m₁ after 1.80 s?

Consider the Atwood machine shown in the figure, where m, = 2.00 kg and m, = 6.85 kg. The system starts at rest, then
the sphere is given a quick push downward, giving it an initial speed of 2.15 m/s.
m2
Assume the pulley and cord are massless, and the cord is inextensible. Neglect friction.
(a) Through what distance (in m) will m, descend?
0.861
Write Newton's second law for each mass, and solve the system of equations for a. Then use your result in a
kinematics equation to determine the distance. m
(b) What is the velocity (in m/s) of m, after 1.80 s?
|-7.52
Apply a kinematics equation and the acceleration used to solve part (a) to find the magnitude of the
velocity at the given time. m/s
magnitude
direction
upward

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