MC 4 Two guns are fired at the same instant, and the open end of the barrel of g
ID: 2041396 • Letter: M
Question
MC 4 Two guns are fired at the same instant, and the open end of the barrel of gun #1 is aimed exactly at th of gun #2 at the moment when they are fired. Gun #1 is aimed up at an angle with the horizontal, while gun #2 is aimed horizontally. Both guns fire their bullets in the same vertical r-y plane, and both with positive x-components of velocity (see diagram to the right). Gun #2 fires its bullet at a muzzle speed of 100m/s, and gun #1 fires its bullet at an unknown muzzle spced v. Which of the following describes the fate of these two bullets For the purposes of this question, ignore air resistance and the possibility of the bullets hitting the ground gun #2 e open end of the barrel 100 gun #1 a. The two bullets will collide no matter what vi is b. The two bullets will collide only if vi is exactly the perfect speed c. The two bullets will collide, if v is above a certain minimum speed d If the bullets reach the same horizontal position, the bullet from gun #1 will pass above the bullet from gun #2 e. If the bullets reach the same horizontal position, the bullet fromi gun #1 will pass below the bullet from gun #2.Explanation / Answer
Acceleration of both bullets will be same and equal to g, So acceleration of bullet 1 with respect to taht of 2 will be zero. Hence velocity of bullet 1 with respect to 2 will be constant. For bullet 1 to hit bullet 2, this constant relative velocity of 1 wrt 2 , should be in the direction, from Barrel of gun 1 to open end of barrel of gun 2.
V12 = V1 - V2
V1 is along barrel of gun 1 to open end of barrel of gun 2, but V2 is not along this line.
So V12can never be along barrel of gun 1 to open end of barrel of gun 2.
Hence two bullets will not collide for any value of V1
In vertical direction, initial velocity of 1 wrt 2 is upward, so it will always be in upward direction. Hence if both bullets reach the same horizontal level, bullet 1 will pass above the bullet 2.
Statement d is correct.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.