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A loaded spring gun of mass M fires a bu...

A loaded spring gun of mass M fires a bullet of mass m with a velocity v at an angle of elevation `theta`. The gun is initially at rest on a horizontal smooth surface. After firing, the centre of mass of the gun and bullet system

A

(a) moves with velocity `v/Mm`

B

(b) moves with velocity `(vm)/(mcostheta)` in the horizontal direction

C

(c) does not move in horizontal direction

D

(d) moves with velocity `(v(M-m))/(M+m)` in the horizontal direction

Text Solution

Verified by Experts

The correct Answer is:
C

Net horizontal force on system is zero.
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DC PANDEY-CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION-Level 1 Objective
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  2. A ball of mass m moving with velocity v0 collides a wall as shown in f...

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  3. A steel ball is dropped on a hard surface from a height of 1m and rebo...

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  4. A car of mass 500kg (including the mass of a block) is moving on a smo...

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  5. The net force acting on a particle moving along a straight line varies...

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  6. In the figure shown, find out centre of mass of a system of a uniform ...

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  7. From the circular disc of radius 4R two small discs of radius R are cu...

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  8. A block of mass m rests on a stationary wedge of mass M. The wedge can...

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  9. A bullet of mass m hits a target of mass M hanging by a string and get...

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  10. A loaded spring gun of mass M fires a bullet of mass m with a velocity...

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  11. Two bodies with masses m1 and m2(m1gtm2) are joined by a string passin...

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  12. A rocket of mass m0 has attained a speed equal to its exhaust speed an...

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  13. A jet of water hits a flat stationary plate perpendicular to its motio...

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  14. Two identical vehicles are moving with same velocity v towards an inte...

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  15. A ball of mass m=1kg strikes a smooth horizontal floor as shown in fig...

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  16. A small block of mass m is placed at rest on the top of a smooth wedge...

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  17. A square of side 2cm and uniform thickness is divided into four square...

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  18. A boy having a mass of 40kg stands at one end A of a boat of length 2m...

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  19. Three identical particles with velocities v0hati, -3v0hatj and 5v0hatk...

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  20. A mortar fires a shell of mass M which explodes into two pieces of mas...

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