A7 kg cart is moving down a track at a speed of 9 m/s and hits a 11 kg cart sitting still. the two have an inelastic collision. what is the resulting speed after the collision?

3.5 m/s

Explanation:

This problem can be solved by the Conservation of Momentum principle which establishes the initial momentum must be equal to the final momentum , and taking into account this is an inelastic collision:

Before the collision:

(1)

After the collision:

(2)

Where:

is the mass of the first cart

is the velocity of the first cart

is the mass of the second cart

is the velocity of the second cart

is the final velocity of both carts

(3)

(4)

Since :

(5)

(6)

(7)

Finally:

f=ma newton

f=100x2.5=250n