(Note: I did not notice that r is in cm until the last second. For standard unit, all the numerical values below should be divided by 100.)
Given m
1 = 0.0035kg, and m
2 = 0.0055kg.
Given t = 2.50s.
(a)
The displacement function of particle 1 with respect to time t is
.
The displacement function of particle 2 with respect to time t is
.
The vector position of the center of mass is
.
(note: the unit is in cm)
(b)
The velocity function of particle 1 with respect to time t is
.
The velocity function of particle 2 with respect to time t is
.
The momentum is P(t) =
, and
.
(note: the unit is in kg cm/s)
(c)
The velocity of the center of mass is
.
(note: the unit is in cm/s)
(d)
The acceleration function of particle 1 with respect to time t is
.
The acceleration function of particle 2 with respect to time t is
.
The acceleration of the center of mass is
...(1).
(note: the unit is in cm/s
2)
(e)
The net force exerted on the two particle system is (1) * (m
1 + m
2) =
.
(note: the unit is in newton/100)