Connect with a community that values knowledge and expertise on IDNLearn.com. Join our interactive Q&A platform to receive prompt and accurate responses from experienced professionals in various fields.
Answer:
2.56 m/s
Explanation:
The change in the momentum is equal to the force times time. So, we have the following equation
[tex]\begin{gathered} \Delta p=Ft \\ mv_f-mv_i=Ft \end{gathered}[/tex]Where m is the mass, vf is the final velocity, vi is the initial velocity, F is the force and t is the time. Solving for vf, we get:
[tex]\begin{gathered} mv_f=Ft+mv_i \\ \\ v_f=\frac{Ft+mv_i}{m} \end{gathered}[/tex]Now, we can replace F = 662N, t = 0.24 s, m = 62 kg, and vi = 0 m/s.
Then, the final velocity is
[tex]\begin{gathered} v_f=\frac{(662N)(0.24s)+(62\text{ kg\rparen\lparen0 m/s\rparen}}{62\text{ kg}} \\ \\ v_f=2.56\text{ m/s} \end{gathered}[/tex]Therefore, the answer is 2.56 m/s