Hello I am working on a problem in physics: A 18 kg box (m1) and a 31 kg box (m2

Question

Hello I am working on a problem in physics:
A 18 kg box (m1) and a 31 kg box (m2) are connected by a lightweight cord as shown in the figure and are on a smooth (frictionless) surface. A horizontal force F of magnitude 50 N is applied to the right of box m2 as shown.

(a) What is the acceleration of the boxes?
1 .m/s2

(b) What is the tension in the rope?
2 .N

(c) If you now drag the same boxes across a surface where the kinetic coefficient of friction is 0.14, what would be the force you would need to apply to maintain the same acceleration as for part (a)?
3 .

Explanation / Answer

(a) F = ma
50 = (18 + 31)a
a = 1.02 m/s^2

(b) Tension is zero (no friction)

(c) F - (18 = 31)(9.8)(.14) = (18 + 31)(1.02)

F = 117 N

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