A spacecraft of mass 100 kg breaks into two when its velocity is 104 ms-1 . After the break, a mass of 10 kg of the space craft is left stationary. The velocity of the remaining part is

Question

A spacecraft of mass 100 kg breaks into two when its velocity is 104 ms-1 . After the break, a mass of 10 kg of the space craft is left stationary. The velocity of the remaining part is (A) 103 m s-1 (B) 11.11 × 103 m s-1 (C) 11.11 × 102 m s-1 (D) 104 ms-1

Tardigrade Admin · Accepted Answer

Given, m=100 kg , m2=10 kg and u=104 ms -1 From conservation of momentum, m ⋅ u =m1 v1+m2 v2 100 × 104 =20 × 0+90 × v2 100 × 104 =0+90 × v2 v2 =(100 × 104/90) v2 =1.1 × 104 v2 =11.11 × 103 ms -1

Q. A spacecraft of mass $100 k g$ breaks into two when its velocity is $1 0^{4} m s^{- 1}$ . After the break, a mass of $10 k g$ of the space craft is left stationary. The velocity of the remaining part is

$1 0^{3} m s^{- 1}$

$11.11 \times 1 0^{3} m s^{- 1}$

$11.11 \times 1 0^{2} m s^{- 1}$

$1 0^{4} m s^{- 1}$

$1100 m s^{- 1}$

Q. A spacecraft of mass 100kg breaks into two when its velocity is 104ms−1 . After the break, a mass of 10kg of the space craft is left stationary. The velocity of the remaining part is

103ms−1

11.11×103ms−1

11.11×102ms−1

104ms−1

1100ms−1