Two crates, one with mass 4.00 kg and the other with mass 6.00 kg, sit on the friction less surface of a frozen pond, connected by a light rope (Fig. P4.43). 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/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, force T or force F?

(d) Use part (c) and Newton€™s second law to calculate the magnitude of the force F.

Figure P4.43

6.00 kg 4.00 kg F.