Question

A grocery shopper tosses a(n) 8.6 kg bag of rice into a stationary 18.1 kg grocery cart. The bag hits the cart with a horizontal speed of 5.2 m/s toward the front of the cart. What is the final speed of the cart and bag

Answer 1

Answer: 1.67 m/s

Step-by-step explanation:

Given

Mass of bag is
`m=8.6\ kg`

Mass of cart is
`M=18.1\ kg`

bag hits the cart with horizontal speed of
`u=5.2\ m/s`

Suppose the system move with speed v after collision

Conserving the momentum

`\Rightarrow mu+M(0)=(M+m)v\\\\\Rightarrow v=(mu)/(M+m)\\\\\Rightarrow v=(8.6* 5.2)/(18.1+8.6)\\\\\Rightarrow v=1.67\ m/s`