114.A rope can withstand a tension of only 300 N. The
least acceleration with which a 50 kg man should slide
down the rope so that it does not break, is-
(1) 2 m/s?
(2) 3 m/s?
(3) 4 m/s²
(4) 6 m/s?
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Answer:
4 m/s²
Explanation:
GIVEN: T= 300 N ; M=50kg ; g=10m/s²
F=M×a (acting on the body downwards )
the body is being pulled by (Mg) force downwards.
Tension (T) is acting upwards the rope.
∴, Mg - T= Ma (∵, relative force on the body is equal to the force produced in the direction of acceleration.)
⇒T=M(g-a).
⇒300=50 (10-a)
⇒6=10-a
⇒a=4 m/s².(Ans)
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