Projectile Motion and Fragmentation Quiz

Projectile Motion and Fragmentation

• A cannonball is fired at 200 m/s at an angle of 60° above the horizontal.
• At the highest point of its trajectory, it explodes into three equal fragments.
• One fragment moves vertically upwards at 100 m/s, another downwards at 100 m/s.
• The third fragment's velocity is 100 m/s horizontally.

Nuclear Reactions

• A stationary radioactive nucleus of mass 210 units decays into an alpha particle (mass 4 units) and a residual nucleus (mass 206 units).
• The kinetic energy of the residual nucleus is a fraction of E, expressed as E/206, 3E/103, 2E/103, or E/103.

Elastic Collisions

• Two solid rubber balls, A and B, are in motion towards each other, with A at 0.3 m/s.
• After colliding, both balls come to rest.
• The possible velocity of ball B before the collision could be 0.15 m/s, 1.5 m/s, -0.15 m/s, or none.

Fragmentation of a Shell

• A mass m shell moving with velocity v breaks into two pieces, where one piece (mass m/4) remains stationary.
• The velocity of the other piece will be proportional to 2v.

Collision Outcomes

• When a body of mass m collides with a stationary body of mass M and undergoes an elastic collision, m achieves a speed that is one-third of its initial speed.
• The ratio of masses M to m is to be determined as part of the result after collision.