A shell is fired vertically upwards

  • Thread starter Thread starter DriggyBoy
  • Start date Start date
  • Tags Tags
    Shell
AI Thread Summary
A shell fired vertically from a moving ship creates a parabolic trajectory as observed from the shore. The horizontal range of the shell can be derived as 2v1v2/g, where v1 is the vertical velocity and v2 is the horizontal velocity of the ship. The motion can be analyzed by treating it as a projectile launched at an angle θ, specifically arctan(v1/v2). Understanding the formulas for parabolic motion, including range, time of flight, and maximum height, is essential for solving the problem. Proper use of the forum's template could have expedited finding the solution.
DriggyBoy
Messages
19
Reaction score
0
A shell is fired vertically upwards with a velocity of v1 from a ship moving with a velocity v2, a person on the shore finds the motion of the shell parabola. Show that the horizontal range is 2v1v2/g
 
Physics news on Phys.org
You know the formulas for the parabolic motion?
 
Sure ^_^
For the Range, the Time of Flight and the Max height :)
 
A hint: the problem is like the case in which the shell is fired inclined at a specific angle θ, the angle is to be arctag v1/v2.
 
Yes, because v1 is the velocity in the y direction and v2 the one in x direction.
 
Oh, and: welcome to PF, Driggy. Using the template is compulsory here. If you'd done that you might even have found your answer before actually submitting the post!
 
  • Like
Likes 1 person
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}...
View full post »

Similar threads

Can you see a pattern in the range and time of flight of mortar shells?
Replies
2
Views
1K
Is this a reference frame problem ?
Replies
5
Views
1K
A gun of mass M fires a shell of mass m and recoils horizont
Replies
1
Views
2K
When is the vertical displacement negative in projectile motion equations?
Replies
4
Views
2K
Velocity and acceleration of an army tank
Replies
1
Views
2K
Motion of rolling metallic shell filled with water
Replies
22
Views
3K
Vertical Wall approaching Man - Impulse and Momentum Conservation
Replies
10
Views
979
Oblique soccer shot calculation task
Replies
38
Views
4K
Projectile Problem: Solving an Artillery Shell Problem
Replies
3
Views
2K
Newton's laws of motion: A gun firing bullets....
Replies
16
Views
3K

Hot Threads

Recent Insights

Back
Top