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jonny [76]
3 years ago
6

A grocery shopper tosses a(n) 9.4 kg bag of rice into a stationary 19.9 kg grocery cart. The bag hits the cart with a horizontal

speed of 7.0 m/s toward the front of the cart. What is the final speed of the cart and bag? Answer in units of m/s.
Physics
1 answer:
IRINA_888 [86]3 years ago
5 0

The final speed of the cart and the bag is 2.2 m/s

Explanation:

We can solve this problem by using the law of conservation of momentum: in fact, in absence of external forces, the total momentum of the bag and the cart must be conserved before and after the collision.

Mathematically:

p_i = p_f\\m_1 u_1 + m_2 u_2 = (m_1+m_2)v  

where:  

m_1 = 9.4 kg is the mass of the bag of rice

u_1 = 7.0 m/s is the initial velocity of the bag

m_2 = 19.9 kg is the mass of the cart

u_2 =0 m/s is the initial velocity of the cart (at rest)

v is the final combined velocity of the bag and the cart

Re-arranging the equation and solving for v, we find:  

v=\frac{m_1 u_1 + m_2 u_2}{m_1+m_2}=\frac{(9.4)(7.0)+0}{9.4+19.9}=2.2 m/s

Learn more about momentum here:

brainly.com/question/7973509  

brainly.com/question/6573742  

brainly.com/question/2370982  

brainly.com/question/9484203  

#LearnwithBrainly

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