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Two crates, one with mass 4.00 kg and the other with mass 6.00 kg, sit on the fr

ID: 2189879 • Letter: T

Question

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 (so she can get traction on the ice) pulls horizontally on the 6.00-kg crate with a force F that gives the crate an acceleration of 2.80 m/s^2.

A) What is the acceleration of the 4.00-kg crate?
B) Use Newton's second law to find the tension T in the rope that connects the two crates.
C) Which is larger in magnitude, force T or force F?
D) Use part (C) and Newton's second law to calculate the magnitude of the force F.

Explanation / Answer

A. Since the two crates are connected, the acceleartions are the same. 2.8 m/s^2 B.F=m*a F=4*2.8 F=11.2 N C. Force F D. F=m*a F=10*2.8 F=28N

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