4.37 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/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. FIGURE P4.37 6.00 kg 4.00 kg T F

4.37 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/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. FIGURE P4.37 6.00 kg 4.00 kg T F