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Question: A rocket with a lift-off mass \(2 \times 10^{5}N\)kg is blasted upwards with an initial acceleration...

A rocket with a lift-off mass 2×105N2 \times 10^{5}Nkg is blasted upwards with an initial acceleration of 5ms25ms^{- 2}. The initial thrust of the blast is (Take g=10ms2g = 10ms^{- 2}) :

A

2×105N2 \times 10^{5}N

B

3×105N3 \times 10^{5}N

C

4×105N4 \times 10^{5}N

D

5×105N5 \times 10^{5}N

Answer

3×105N3 \times 10^{5}N

Explanation

Solution

Here m=2×104m = 2 \times 10^{4}kg

Initial acceleration, a=5ms2a = 5ms^{- 2}

Initial thrust = upthrust required to impart acceleration a + upthrust required to overcome gravitational pull

}{= (2 \times 10^{4}kg)(5 + 10)ms^{- 2} = 3 \times 10^{5}N}$$