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If the range of a gun which fires a shel...

If the range of a gun which fires a shell with muzzle speed V is R , then the angle of elevation of the gun is

A

`cos^(-1)((V^(2))/(Rg))`

B

`cos^(-1)((gR)/(V^(2)))`

C

`(1)/(2)((V^(2))/(Rg))`

D

`(1)/(2)sin^(-1)((gR)/(V^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If the range of a gun which fires a shell with muzzle speed ν is R, then the angle of elevation of the gun is :-

    A
    `cos^(-1)(v^2/(Rg))`
    B
    `cos^(-1)((Rg)/v^2)`
    C
    `1/2sin^(-1)(v^2/(Rg))`
    D
    `1/2 sin^(-1)((Rg)/v^2)`

  • A shell of mass 200g is fired by a gun of mass 100kg. If the muzzle speed of the shell is 80ms^(-1) , then the rcoil speed of the gun is

    A
    `16cms^(-1)`
    B
    `8cms^(-1)`
    C
    `8ms^(-1)`
    D
    `16ms^(-1)`

  • 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
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    B
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