Two crates, one with mass 4.00 kg and the other with 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 2.50 m/s22. (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 tension T in the rope that connects the two crates. (c) Draw a free-body diagram for 6.00- kg crate. What is the direction of the net force on the 6.00-kg crate? 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.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Two crates, one with mass 4.00 kg and the other with 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 2.50 m/s22.

(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 tension T in the rope that connects the two crates.

(c) Draw a free-body diagram for 6.00- kg crate. What is the direction of the net force on the 6.00-kg crate? 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.

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