Laws Of Motion Question 205

Question: A 5000 kg rocket is set for vertical firing. The exhaust speed is 800ms−1 . To give an initial upward acceleration of 20ms−2 , the amount of gas ejected per second to supply the needed thrust will be (g=10ms−2) [CBSE PMT 1998]

Options:

A)127.5kgs−1

B) 187.5kgs−1

C) 185.5kgs−1

D) 137.5kgs−1

Show Answer

Answer:

Correct Answer: B

Solution:

F=udmdt=m(g+a) therefore dmdt=m(g+a)u

=5000×(10+20)800

=187.5 kg/s

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