Two football players with mass 75 kg and 100 kg run directly toward each other with speeds of 6 m/s and 8 m/s respectively. if they grab each other as they collide, the combined speed of the two players just after the collision would be:

hey

Momentum before Pb = momentum after Pa

Pb = 75*6 - 100*8 = -350kgm/s = Pa = (75+100)V where V is the velocity of the combined mass of the two players after the collision.

Velocity has magnitude (speed) and direction. V = -350/175 = -2m/s

So the two players are moving at 2m/s in the direction the 100kg player was moving before the collision.

I arbitrarily chose the direction of the smaller player as positive so the opposite direction (of the larger player) had to be negative.

hope it help