Answered: Two crates, one with mass 4.00 kg and…

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 30P: Two objects are connected by a light string that passes over a frictionless pulley as shown in...

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Two crates, one with mass 4.00 kg and the other with mass
6.00 kg, sit on the frictionless surface of a frozen pond, connected by a light
rope (Fig. P4.37). A woman wearing golf shoes (for traction) pulls horizontally
on the 6.00 kg crate with a force F that gives the crate an acceleration
of 2.90 m>s2. (c) Draw a free-body diagram for the 6.00 kg crate. What is the direction
of the net force on the 6.00 kg crate? Which is larger in magnitude, T or F?
(d) Use part (c) and Newton’s second law to calculate the magnitude of F.

.37. Two crates, one with mass 4.00 kg and the other with mass
6.00 kg, sit on the frictionless surface of a frozen pond, connected by a light
rope (Fig. P4.37). A woman wearing golf shoes (for traction) pulls horizon-
tally on the 6.00 kg crate with a force F that gives the crate an acceleration
of 2.90 m/s. (a) What is the acceleration of the 4.00 kg crate? (b) Draw a
free-body diagram for the 4.00 kg crate. Use that diagram and Newton's
second law to find the tension T in the rope that connects the two crates.
(c) Draw a free-body diagram for the 6.00 kg crate. What is the direction
of the net force on the 6.00 kg crate? Which is larger in magnitude, T'or F?
(d) Use part (c) and Newton's second law to calculate the magnitude of F.
FIGURE P4.37
6.00 kg
4.00 kg
T
F

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