Two 78 kg boxes are dragged along a fric- tionless surface with a constant accel

Question

Two 78 kg boxes are dragged along a fric- tionless surface with a constant acceleration of 0.86 m/s2, as shown in the figure.
Each rope has a mass of 1.18 kg.
(I will try to draw a picture that could help!! )

1.18kg 1.18kg F
! 78 kg ! ___________ ! 78 kg !___________ >
_____________________________________________________________

1-Find the force F . (Answer in units of N)

2-Find the tension in the leftmost rope at the point where it is attached to the leftmost box. (Answer in units of N)

3-Find the tension in the leftmost rope at the point where it is attached to the rightmost box. (Answer in units of N)

4-Find the tension in the rightmost rope at the point where it is attached to the rightmost box. (Answer in units of N)

Explanation / Answer

1) total mass = 78 *2 + 1.18 *2 = 158.36 kg F = mass * acceleration = 158.36 * 0.86 = 136.19 N 2) F = mass * acceleration = 78 * 0.86 =67.08 N 3) F = mass * acceleration = (78 + 1.18) * 0.86 = 68.09 N 4) F = mass * acceleration = (2* 78 + 1.18) * 0.86 = 135.17 N

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