Answer:
(a) 6.58 m/s
(b) East direction
(c) 2.33 m/s
(d) -259353 J
Explanation:
From the law of conservation of linear momentum
M1u1+m2u2=(m1+m2)V where V is common velocity, m1 and m2 are masses of objects, u1 and u2 are velocities of m1 and m2 respectively
Making V the subject

Let West be positive while East be negative hence

Velocity=6.58 m/s
(b)
Since common velocity is negative, it implies that after collision the vehicles move to the East
(c)
m1u1=m2u2

(d)
The initial kinetic energy is given by

The final kinetic energy is given by

Since the two vehicles remain locked after collision, this is inelastic collision hence kinetic energy is not conserved
Change in kinetic energy is given by
