Question

An SUV with a mass of 1.80

Answer 1

SUV                                    car
v1i = +15 m/s                        v2i = -15 m/s

m1 = 1.8e3 kg                        m2 = 900 kg

v1f = v = ?                          v2f = V = ?

the initial momentum of the system Pi = (m1*v1i)+(m2*v2i)

P1 = (1800*15)-(900*15) = 13500 kg m/s

after the collison they stick together,they a common velocity v

here the collision is inelastic

final momnetum after collision Pf = (m1+m2)*V = (1800+900)
*v = 2700 v

from law of conservationof linear momentum the momentum is conserved in any collision

Pf = Pi

2700*v = 13500

v = +5 m/s

after the collision they along + x axis