Physics questions!
Please answer the orange questions which there is a question mark. Each question in a different page. So three medals.
Ok #36 please! I have my answer. I will send it in a sec!
I got this: |dw:1433908300305:dw| so I can write this: \[\Large {m_1}{v_1} - {m_2}{v_2} = \left( {{m_1} + {m_2}} \right)v\] from which I got: v= +4 m/sec
How !?
using my reference system, we can write: \[\Large \begin{gathered} {{\mathbf{v}}_{\mathbf{1}}} = \left( {{v_1},0} \right) \hfill \\ {{\mathbf{v}}_{\mathbf{2}}} = \left( { - {v_2},0} \right) \hfill \\ \end{gathered} \]
Are you sure that is m1v1 - m2v2 or m1v1 + m2v2?
no, since what is conserved is the vector which represents the total momentum, actually our equation is: \[\Large {m_1}{{\mathbf{v}}_{\mathbf{1}}} + {m_2}{{\mathbf{v}}_{\mathbf{2}}} = \left( {{m_1} + {m_2}} \right){\mathbf{v}}\]
Exactly, it is a closed system. Energy is conserved. Now lets plug in the numbers.
now we have to go from vectors to components, and as I wrote before, we can write: \[\begin{gathered} {{\mathbf{v}}_{\mathbf{1}}} = \left( {{v_1},0} \right) \hfill \\ {{\mathbf{v}}_{\mathbf{2}}} = \left( { - {v_2},0} \right) \hfill \\ \end{gathered} \]
what is v2? Motor or truck?
v_2 is the motor
furthermore: \[\Large {v_1} = \left| {{{\mathbf{v}}_{\mathbf{1}}}} \right|,\quad {v_2} = \left| {{{\mathbf{v}}_{\mathbf{2}}}} \right|\]
Wait a moment.
In the question it says the truck is going west. West is the negative direction. Motorist is going opposite of west which is east! It is postive velocity. Truck should have -ve velocity.
ok! Then our correct drawing is: |dw:1433908946956:dw| and the previous equation will become: \[\Large \begin{gathered} - {m_1}{v_1} + {m_2}{v_2} = \left( {{m_1} + {m_2}} \right)v \hfill \\ {{\mathbf{v}}_{\mathbf{1}}} = \left( { - {v_1},0} \right) \hfill \\ {{\mathbf{v}}_{\mathbf{2}}} = \left( { + {v_2},0} \right) \hfill \\ \end{gathered} \]
and the answer is: v= -4 m/sec
That means I was right? I got -4 m/s
yes!
Ok great, thank you! I have to go, I will ask my other questions later.
ok!
Just wondering are you here in openstudy tomorrow. On Thursday I have a physics exam. I was wondering if I have few quick question, Is it ok I ask you?
yes! I will stay in OpenStudy tomorrow, and I can help you
At what time are you in openstudy, and when you leave?
I will be here in OpenStudy at 6:00 am (Italy Time zone)
Ok I will manage mt time. Thank you, you are a very supportive tutor.
:)
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