How Does Force Calculation Error Occur in Momentum Problems?

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SUMMARY

The discussion focuses on the calculation of forces in momentum problems, specifically addressing two scenarios: a man jumping and a bee on a floating Popsicle stick. In the first scenario, the upward force exerted by the floor is calculated using the formula F = mv/t, resulting in a net force of 1126.32 N, while the book states the answer is 420 N, suggesting the weight was ignored. In the second scenario, the conservation of momentum is applied to determine the mass of the bee, emphasizing the importance of relative velocities in calculations.

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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.
 

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