A projectile fired from a gun at a certain angle to the horizon at a certain speed at the top point of the trajectory explodes into two fragments, and the mass of the first is 1.4 times less than the mass of the second. The smaller of the fragments flew horizontally in the opposite direction at a speed equal to the speed of the projectile before explosion. Determine at what distance the larger fragment will fall from the gun if the place of the explosion is 2.1 km from the place of the shot (horizontally). Disregard air resistance.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.32P
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A projectile fired from a gun at a certain angle to the horizon at a certain speed at
the top point of the trajectory explodes into two fragments, and the mass of the
first is 1.4 times less than the mass of the second. The smaller of the fragments
flew horizontally in the opposite direction at a speed equal to the speed of the
projectile before explosion. Determine at what distance the larger fragment will
fall from the gun if the place of the explosion is 2.1 km from the place of the shot
(horizontally). Disregard air resistance.
Transcribed Image Text:A projectile fired from a gun at a certain angle to the horizon at a certain speed at the top point of the trajectory explodes into two fragments, and the mass of the first is 1.4 times less than the mass of the second. The smaller of the fragments flew horizontally in the opposite direction at a speed equal to the speed of the projectile before explosion. Determine at what distance the larger fragment will fall from the gun if the place of the explosion is 2.1 km from the place of the shot (horizontally). Disregard air resistance.
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