Answered

IDNLearn.com: Where your questions meet expert advice and community insights. Our Q&A platform offers reliable and thorough answers to help you make informed decisions quickly and easily.

A body with a mass of 5 Kg has the same kinetic energy as a second body. The second body has a mass of 10 kg and is moving at a speed of 20 m/s. How fast is the second body moving?

Sagot :

Ryan2idn
First body:

[tex]E_{k_1}=\frac{1}{2}.m.v^2\\ \\ E_{k_1}=\frac{1}{2}.5.v_1^2=\frac{5}{2}.v_1^2[/tex]

Second body:

[tex]E_{k_2}=\frac{1}{2}.m.v_2^2\\ \\ E_{k_2}=\frac{1}{2}.10.(20)^2=2.000 \ J[/tex]

From description of the task we have:

[tex]E_{k_1}=E_{k_2}\\ \\ \frac{5}{2}.v_1^2=2.000 \ J\\ \\ 5.v_1^2=4.000 \ J\\ \\ v_{1}^2=800 \ J\\ \\ v_{1}= \sqrt{800} \ J \approx 28,3 \ m/s [/tex]
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.