Projectile Motion and Fragmentation Quiz

What is the direction and velocity of the third fragment after the explosion?

What is the kinetic energy of the residual nucleus after the collision?

What is the velocity of ball B after it collides with ball A?

What is the velocity of the piece that has a mass of m/4 after a shell of mass m breaks into 2 pieces?

What happens to the mass ratio M/m after an elastic collision if the mass m has a speed that is a third of its initial speed?

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.

This quiz covers the concepts of projectile motion, focusing on a cannonball's flight path and the effects of explosion at the peak of its trajectory. Challenge your understanding of physics principles related to motion, velocity, and fragmentation. Utilize your knowledge of angles and speeds to solve the problems presented.