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 2.30 m/s2.art A
What is the acceleration of the 4.00 kg crate?

  m/s2  

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

T =
  N  

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

Which is larger in magnitude, force  or force ?

force T
force F

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

F =
  N  

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Explanation / Answer

let,

mass of the first crate is m1=4kg

mass of the second crate is m2=6kg

acceleration of the m2 is a=2.3 m/sec^2

and

tension in the rope is T

force applied by woman is F

a)

acceleration of the m1 is also, a=2.3 m/sec^2

b)

tension, T=m1*a

T=4*2.3

T=9.2 N

c)

here, force F is larger than tension T

because, masses m1, m2 are accelerating along direction of force F

d)

force F=T+m2*a

F=9.2+6*2.3

F=23 N

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