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monitta
3 years ago
13

a chuck wagon with an initial velocity of 4 m/s and a mass of 35 kg gets a push with 350 joules of force. what is the wagon's fi

nal velocity?
Physics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

the final velocity of the wagon is 6 m/s.

Explanation:

Given;

initial velocity of the wagon, u = 4 m/s

mass of the wagon, m = 35 kg

energy applied to the wagon, E = 350 J

The final velocity of the wagon is calculated as;

E = ¹/₂m(v² - u²)

m(v^2-u^2) = 2E\\\\v^2-u^2 = \frac{2E}{m} \\\\v^2 =  \frac{2E}{m}  + u^2\\\\v = \sqrt{\frac{2E}{m}  + u^2} \\\\v = \sqrt{\frac{2(350)}{35}  + (4)^2}\\\\v = 6 \ m/s

Therefore, the final velocity of the wagon is 6 m/s.

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