Question

A rope of negligible mass supports a block that weighs 30N, as shown. The breaking strength of the rope is 50N. The largest acceleration that can be given to the block by pulling up on it with the rope without breaking the rope is most nearly

(A) 6 m/s² 

 (B) 6.7 m/s² 

 (C) 10 m/s² 

 (D) 15 m/s² 

 (E) 16.7 m/s²

Answer 1

Correct option (B) 6.7m/s²

ΣF = ma; F_T – mg = ma; Let F_T = 50N (the maximum possible tension) and m = W/g = 3kg