1.A light hollow tube of 2.00 cm diameter and 1.0 m length is filled with tiny b

Question

1.A light hollow tube of 2.00 cm diameter and 1.0 m length is filled with tiny beads of different density. The resulting density distribution is linear, with the left end having a density of 1.8 g/cm3, and the right end having a density of 5.7 g/cm3. How far from the left end will be the center of mass (give answer in cm).

2.A 1124-kg car traveling initially at 35 m/s in an easterly direction crashes into the back of a 9932-kg truck moving in the same direction at 23 m/s (Fig. P9.22). The velocity of the car immediately after the collision is 18 m/s to the east. What is the velocity of the truck immediately after the collision.

Explanation / Answer

(2) ans

Given that

mass m1=1124 kg

mass m2=9932 kg

initial speed of car u1=35 m/s

initial speed of the truck u2=23 m/s

velocity of car after collision v1=18 m/s

now we find the velocity of the truck after collision

m1u1+m2u2=m1v1+m2u2

1124*35+9932*23=1124*18+9932*V2

267776-20232=9932v2

velocity V2=24.924 m/s

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