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?
A.5.6
B.3.1
C.3.73
D.4.4J

Respuesta :

Paounn

Answer:

D: 4.4m/s

Explanation:

From a known theorem the total work on a body is equal of the variation of kinetic energy:

[tex]W = \Delta K = K_f-K_i = \frac12 mv_f^2 - \frac12 m v_i^2[/tex]

Taking the first and last step in the chain of equalities and replacing the values we have, we get:

[tex]5 = \frac12(1)v_f^2 - \frac12(1)(3)^2\\10= v_f^2 -9 \rightarrow v_f^2 = 19 \rightarrow v_f=\sqrt19 \approx 4.4m/s[/tex]