I have a select-multiple question, and I am not sure about everything and I only get one try in my online class...would really appreciate if you could please explain which to select:
What is true about momentum value?
a)When you muliply mass (a scalar) by velocity (a vector), the result is momentum (a vector) -- I selected this one
b)You must multiply two vectors in order to result in a vector -- didn't do this one, because you can multiply scalar by vector
c)The direction of the momentum vector is the same as the velocity vector -- selected this one, confirmed with Google
d)The magnitude of the momentum vector is dependent on the mass -- didn't select this one, because I thought it also depends on velocity
e)The direction of the momentum vector is dependent on the mass -- didn't select this, because mass is scalar
Where am I going wrong with what to select? I just want a second opinion before I use my only attempt...thanks!
I agree with all of your selections.
d) is poorly worded. Of course the magnitude depends on the mass --- but also on the absolute value of the velocity vector
|P| = m |V|
so it does not depend ONLY on the mass but does depend on the mass.
Thanks! The answer was all my original selections plus choice d). :)
Based on your question, it seems like you are uncertain about which options to select for the question "What is true about momentum value?" in your online class. I will help you understand each option to assist you in making an informed decision.
a) When you multiply mass (a scalar) by velocity (a vector), the result is momentum (a vector): You have selected this option, and it is correct. The formula for momentum is mass multiplied by velocity, resulting in a vector quantity.
b) You must multiply two vectors in order to result in a vector: You have not selected this option, which is the right decision. You can multiply a scalar (mass) by a vector (velocity) to obtain a vector (momentum).
c) The direction of the momentum vector is the same as the velocity vector: You have selected this option, which is also correct. The momentum vector and the velocity vector have the same direction.
d) The magnitude of the momentum vector is dependent on the mass: You have not selected this option, which is not correct. The magnitude of the momentum vector is indeed dependent on the mass. Momentum equals mass multiplied by velocity, and the larger the mass, the larger the momentum, assuming the velocity remains constant.
e) The direction of the momentum vector is dependent on the mass: You have not selected this option, which is the right decision. The direction of the momentum vector is determined by the velocity vector, not the mass. The mass only affects the magnitude of the momentum, not its direction.
In conclusion, the correct options to select for the question are both option a) and option c). Both of your selected answers are correct, and you have made the right decision. Good luck with your online class!