<span>Answers: (a) 2.0 m/s (b) 4 m/s
Method:
(a) By conservation of momentum, the velocity of the center of mass is unchanged, i.e., 2.0 m/s.
(b) The velocity of the center of mass = (m1v1+m2v2) / (m1+m2)
Since the second mass is initially at rest, vcom = m1v1 / (m1+m2)
Therefore, the initial v1 = vcom (m1+m2) / m1 = 2.0 m/s x 6 = 12 m/s
Since the second mass is initially at rest, v2f = v1i (2m1 /m1+m2 ) = 12 m/s (2/6) = 4 m/s </span>
C..............................
a. The particle has position vector


b. Its velocity vector is equal to the derivative of its position vector:

c. At
, the particle has position


That is, it's 56.0 m to the right and 49.0 m up relative to the origin, a total distance of
away from the origin in a direction of
relative to the positive
axis.
d. The speed of the particle at
is the magnitude of the velocity at this time:


Then its speed at this time is

Answer:
4. deducing and applying natural laws
Answer:
Break down small pebbles and sediments, like sand
Break down large rocks like mountains
Explanation: