Home
Class 12
PHYSICS
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))/(gR))`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

An enemy plane is flying horizontally at an altitude of 2 km with a speed of 300 ms^(-1) An army man with an anti-aircraft gun on the ground sights hit enemy plane when it is directly overhead and fires a shell with a muzzle speed of 600 ms^(-1) . At what angle with the vertical should the gun be fired so as to hit the plane ?

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 recoil speed of the gun is

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 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 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

An artillary piece which consistently shoots its shells with the same muzzle speed has a maximum range R. To hit a target which is R//2 from the gun and on the same level, the elevation angle of the gun should be

A loaded spring gun, initially at rest on a horizontal frictionless surface, fires a marble at angle of elevation theta. The mass of the gun is M, the mass of the marble is m, and the muzzle velocity of the marble is v_0 . What is the final motion of the gun ?

Spring Gun Recoil A loaded spring gun, initially at rest on a horizontal frictionless surface, fires a marble at angle of elevation theta. The mass of the gun is M, the mass of the marble is m, and the muzzle velocity of the marble is v_0 . What is the final motion of the gun ?

It was calculated that a shell when fired from a gun with a certain velocity and at an angle of elevation 5pi//36 radius should strike a given target. In actual practice it was found that a hill just intervened in the trajectory. At what angle of elevation should the gun be fired to hit the target ?

A machine gun fires n bullets per second and the mass of each bullet is m. If v is the speed of each bullet, then the force exerted on the machine gun is