(a). Give data:
* The mass of the marble A is m1 = 0.08 kg
* The mass of marble B is m2 = 0.05 kg
* The initial velocity of m1 is u1 = 0.5 m/s
* The initial velocity of m2 is u2 = 0 m/s
* The final velocity of m1 is v1 = -0.1 m/s
According to the law of conservation of momentum,
where v2 is the final velocity of the marble B,
Substituting the known values,
Thus, the final velocity of the marble B is,
Thus, the value of the velocity of the marble B is 0.96 meters per second.
(b). The multiplication of terms 0.08 and -0.1 is,
The term 0.08 can be written as,
The term -0.1 can be written as,
Thus, the multiplication of 0.08 with -0.1 is,
Thus, the multiplication of 0.08 with -0.1 is -0.008.