Physics - Center of Mass Question with Solution | TestHub
A 24 kg projectile is fired at an angle of 53° above the horizontal with an initial speed of 50 m/s. At the highest point in its trajectory, the projectile explodes into two fragments of equal mass, the first of which falls vertically with zero initial speed.
A 24 kg projectile is fired at an angle of 53° above the horizontal with an initial speed of 50 m/s. At the highest point in its trajectory, the projectile explodes into two fragments of equal mass, the first of which falls vertically with zero initial speed.
How far from the point of firing does the second fragment strike the ground? (Assume the ground is level.)
Options:
Answer:
Solution:
Without the explosion the range is .
The explosion occurs at the highest point, , where the first fragment falls vertically and lands at x = 120 m.
The centre of mass continues as if unexploded and lands at R = 240 m. For equal masses: .
Answer: (A) 360 m
