Laws Of Motion Question 319

Question: A pail filled with sand has a total mass of 60 kg. A crane is lowering it such that it has an initial downward acceleration of1.5m/s2 . A hole in the pail allows sand to leak out. If the force exerted by the crane on the pail does not change, what mass of sand must leak out before the downward acceleration decreases to zero?

Options:

A) 9.2 kg

B) 20 kg

C) 40 kg

D) 51 kg

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Free body diagram at start Free body diagram when a=0

m1gFc=m1a;

Fc=m1(ga)

Fc=m2g=0;

Fc=m2g

m1(ga)=m2g

m2=m1(ga)g=50.8 kg;



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक