How Does Force Calculation Error Occur in Momentum Problems?

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Force calculation errors in momentum problems can arise from misinterpretation of forces involved, such as neglecting the weight of an object when calculating additional forces. In the first scenario, the upward force exerted by the floor should consider the net force required for the jump, leading to confusion over the correct application of the force equation. The second scenario highlights the importance of understanding relative velocities in momentum conservation, emphasizing that both objects must be considered in relation to a stationary reference point. The distinction between total and additional forces is crucial, as it affects the interpretation of the problem's requirements. Properly applying these concepts is essential for accurate calculations in physics problems.
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Homework Statement


A 72 kg man jumps
a) If the jump results in an upward speed of 2.1 m/s, what additional upward force does the floor exert, if the person pushes the ground for 0.36 s?


Homework Equations


F= mv/t


The Attempt at a Solution


F_net = Impule/t

F_byFloor - W = F_net

f_byFloor = F_net + W
= (mv_f / t) + mg
= m ((v_f / t)+g)
= 1126.32 N

But, the answer in the book is 420 N, and it just ignored Weight of the person.
If my Force equation (F_byFloor - W = F_net) is right?




Homework Statement



A bee lands on one end of a floating 4.75 g Popsicle stick. After sitting at rest for a moment, it runs towards the other end with a speed of 3.80 cm/s relative to still water. The stick moves in the opposite direction at 0.12 cm/s relative to the still water. What is the mass of bee?

Homework Equations



mv_b + Mv_popsicle = 0

The Attempt at a Solution



I am confused about the velocities. Like, How the results would be changed if I use bee velocity relative to Popsicle. And, do I need to have velocities of both objects relative to some stationary thing in order to solve this problem?
 
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Question 1) asks for 'additional upward force', not 'total upward force' implying you should ignore the weight. For 2) a consequence of the conservation of momentum is that the center of mass of SYSTEM doesn't accelerate unless acted upon by a force from OUTSIDE of the system. Consider the bee and the popsicle stick as a system.
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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