Question #265031

A force of 20N pulls two carts tied together with a string. The carts with masses 3kg and 4kg, respectively, run on a smooth level surface. Find :


a. The acceleration of the 4kg cart.


b. The acceleration of the 3kg cart.


c. The tension on the string connecting the two carts.


Please show the complete solution.

1
Expert's answer
2021-11-14T17:15:55-0500

a. FT=4aF-T=4a and T=3aT=3a


F3a=4aa=F/7=20/72.86 (m/s2)F-3a=4a\to a=F/7=20/7\approx2.86\ (m/s^2) .


b. a=2.86 (m/s2)a=2.86\ (m/s^2) .


c. T=3a=32.86=8.57 (N)T=3a=3\cdot2.86=8.57\ (N) .


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