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. 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 2.50 m/s2. (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. 6.00 kg 4.00 kg T

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
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Problem 47P: Two blocks of mass 3.50 kg and 8.00 kg are connected by a massless string that passes over a...
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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. 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 2.50 m/s2. (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.
6.00 kg
4.00 kg
T
Transcribed Image Text: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. 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 2.50 m/s2. (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. 6.00 kg 4.00 kg T
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