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Question: A rocket has an initial mass of \(20 \times 10 ^ { 3 } \mathrm {~kg}\) . If it is to blast off with...

A rocket has an initial mass of 20×103 kg20 \times 10 ^ { 3 } \mathrm {~kg} . If it is to blast off with an initial acceleration of 4ms24 m s ^ { - 2 } , the initial thrust needed is (g10ms2)\left( g \cong 10 m s ^ { - 2 } \right)

A

6×104N6 \times 10 ^ { 4 } N

B

28×104N28 \times 10 ^ { 4 } N

C

20×104N20 \times 10 ^ { 4 } N

D

12×104N12 \times 10 ^ { 4 } N

Answer

28×104N28 \times 10 ^ { 4 } N

Explanation

Solution

F=m(g+a)=20×103×(10+4)=28×104 NF = m ( g + a ) = 20 \times 10 ^ { 3 } \times ( 10 + 4 ) = 28 \times 10 ^ { 4 } \mathrm {~N}