A grocery shopper tosses a (n) 8.6 kg bag of rice into a stationary 17.6 kg grocery cart. The bag hits the cart with a horizontal speed of 6.2 m/s toward the front of the cart. What is the final speed of the cart and bag? Answer in units of m/s.

speed of cart and bag is 2.035 m/s

Explanation:

given data

mass m1 = 8.6 kg

mass m2 = 17.6 kg

speed u1 = 6.2 m/s

to find out

What is the final speed of the cart and bag

solution

we will use here conservation law of momentum that is express here as

m1u1 + m2u2 = (m1 + m2) V ... 1

here u1 is initial speed and u2 is final spped when at rest i. e 0 and m1 and m2 is mass and V is speed of cart and bag

put here value we get

8.6 * 6.2 + 17.6 * 0 = (8.6 + 17.6) V

solve it we get V

V = 2.035 m/s