Finding Initial Velocity for Cannon Projectile to Hit Enemy Headquarters

AI Thread Summary
To determine the initial velocity required for a projectile to hit an enemy headquarters located 75.0 m high and 350 m away, the projectile must be launched at a 40.0-degree angle. The problem involves calculating the necessary speed without assuming the projectile will strike at its peak height. Key equations of projectile motion will be utilized to solve for the initial velocity. Participants in the discussion are encouraged to share their methods and insights for approaching the problem. The focus remains on applying the relevant physics principles to find the solution.
JME7679
Messages
1
Reaction score
0

Homework Statement



A projectile must be fired from a cannon and hit the enemy headquarters located on the top of a cliff 75.0 m above and 350 m from the cannon. The cannon will shoot the projectile at an angle 40.0 degrees above the horizontal. What does the speed of the projectile need to be when it is fired from the cannon so that it will hit the enemy headquarters. Don't assume the projectile will hit the headquarters at the highest point of it's flight.



2. Homework Equations [/b







The Attempt at a Solution

 
Physics news on Phys.org
Welcome to PF.

What are your thoughts on how to answer the question?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top