Launching projectile from north pole to equator

AI Thread Summary
To launch a projectile from the North Pole to land on the equator, a velocity of approximately 9.5 km/s is necessary, though this is a high requirement. A launch angle of 45 degrees is often considered optimal for maximum range, but achieving this trajectory involves complex calculations beyond simple physics. The projectile's path would be sub-orbital, meaning it would not maintain a stable orbit. Air friction and other environmental factors must also be taken into account, complicating the calculations further. Overall, the task requires careful consideration of physics principles and real-world conditions.
greaser
Messages
2
Reaction score
0
I am trying to find what velocity and angle of launch is required for a projectile to be fired from the North pole and land somewhere on the equator. I was thinking 45 degrees with muzzle velocity 9401m/s but that sounds ridiculous. Also how much time would it be in the air for?
 
Physics news on Phys.org
You also posted this under "General Physics". Please do not post the same thing multiple times.
 
Are you neglecting air friction?

This isn't a simple plug and chug. That path will be sub-orbital.

9.5 km/sec is high, but you're in the right ballpark.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top