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

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 (Figure 1) . 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 3.00m/s^2 .

What is the acceleration of the 4.00-kg crate?

Use Newton's second law to find the tension T in the rope that connects the two crates.

Which is larger in magnitude, force T or force F?

Use part (C) and Newton's second law to calculate the magnitude of the force F

Explanation / Answer

(a) As both the crates will move together , acceleration of 4 kg crate is also equal to 2.4 m/s2 (b) T = 4 * 2.4 = 9.6 N (c)F - T = 6 * 2.4 F - 9.6 = 14.4 F = 24 N So F>T

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