Two boxes of fruit on a frictionless horizontal surface are connected by a light

Question

Two boxes of fruit on a frictionless horizontal surface are connected by a light string as in the figure below, where m1 = 13 kg and m2 = 23 kg. A force of F = 80 N is applied to the 23-kg block.

(a) Determine the acceleration of each block and the tension in the string.
acceleration of m1


Your response differs from the correct answer by more than 10%. Double check your calculations. m/s2
acceleration of m2


Your response differs from the correct answer by more than 10%. Double check your calculations. m/s2
tension in the string


Your response differs from the correct answer by more than 10%. Double check your calculations. N

(b) Repeat the problem for the case where the coefficient of kinetic friction between each block and the surface is 0.10.
acceleration of m1 m/s2
acceleration of m2 m/s2
tension in the string

Explanation / Answer

a)a=F/(m 1+m2)=2.22 m/s^2 Tm1=m1*a=28.9 Tm2=F=80 b)a=(F-u*(m1+m2)g)/(m1+m2)=1 m/s^2 Tm1=m1a+umg=25.7 Tm2=(F-u*(m1+m2)g)=35.64

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