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A 1 kg cart has 5 J of work done on it. If the initial velocity of the cart was 3 m/s, what is the final velocity of the cart?

Sagot :

onyebuchinnaji

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.

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