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Sagot :
The final velocity of the cart at the given mass is 4.36 m/s.
The given parameters;
- mass of the cart, m = 1 kg
- work done on the cart, W = 5 J
- initial velocity of the cart, u = 3 m/s
The distance traveled by the cart is calculated as follows;
Fd = W
mgh = W
[tex]h = \frac{W}{mg} \\\\h = \frac{5}{1 \times 9.8} \\\\h = 0.51 \ m[/tex]
The final velocity of the cart is calculated as follows;
[tex]v^2 = u^2 + 2gh\\\\v^2 = (3)^2 + 2(9.8)(0.51)\\\\v^2 = 18.996\\\\v = \sqrt{18.996} \\\\v = 4.36 \ m/s[/tex]
Thus, the final velocity of the cart at the given mass is 4.36 m/s.
Learn more here:https://brainly.com/question/17956487
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