Two crates, one with mass 3.85kg and the other with mass 7.00kg, sit on the fric

Question

Two crates, one with mass 3.85kg and the other with mass 7.00kg, 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 7.00kg crate with a force F that gives the crate an acceleration of
2.50m/s.
a) What is the acceleration of the 3.85kg crate?
b) Draw a free-body diagram for the 3.85kg 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 7.00kg crate. What is the direction of the net force on the 7.00kg 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.

Explanation / Answer

(a) As both the crates will move together , acceleration of3.85 kg crate is also equal to 2.5 m/s2 (b) T = 3.85 * 2.5 = 9.625 N (c)F - T = 7 * 2.5 F - 9.625 = 17.5 F = 27.125 N So F>T (d) I have done it above

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