CHALLENGING pHYSICS questions(dedicated for lover's of physics)

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A physics problem is presented involving a soldier dropped from a plane at a height of 3 km, flying at a 30° angle with a speed of 200 m/s. The challenge is to determine the angle a sniper must fire to hit the soldier, given a muzzle velocity of 300 m/s and a horizontal distance of 6 km. Participants emphasize the need for the original poster to show their work and engage with the problem rather than simply seeking answers. The discussion highlights the importance of effort in solving physics problems, especially in a homework context. Overall, the thread encourages active participation and problem-solving skills among physics enthusiasts.
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Homework Statement



Q) A soldier of parachute regiment has been dropped by a plane flying at an angle 30° with -ve X-axis and at constant speed 200m/s.If the plane was at height of 3km when it dropped the soldier then find the angle of inclination with +ve X-axis a sniper situated at a distance 6km horizontally from the plane at the time of dropping must fire its bullet to hit the soldier.Assume muzzle velocity to be 300m/s. [This an entry level question I willl post more tougher ones]

Homework Equations


3 equations of motion

The Attempt at a Solution


y=usin30-1/2gt^2
x=?
 
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Your challenge is not exciting enough! We need to see some work at a solution attempt!
 
We're not here to do your homework.
 
Any one can solve this prob?this is not a homework!
 
Raptorkiller said:
Any one can solve this prob?this is not a homework!

Ah! There's your problem! This is a homework forum :smile:
 
But it is a homework-type problem, and as such, it requires the poster to put in some effort.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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