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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.

Respuesta :

Answer:

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

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