Weight of Soldier with Machine Gun in Freefall

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Homework Help Overview

The problem involves a soldier in freefall who detaches from his parachute and attempts to resist downward acceleration by firing bullets from a machine gun. The context includes concepts of force, momentum, and the effects of firing bullets on the soldier's motion, with specific values given for bullet weight and firing rate.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between force and momentum, questioning how the soldier's firing of bullets affects his velocity and acceleration. There are attempts to clarify the calculations involving the weight of the bullets and their conversion to kilograms.

Discussion Status

The discussion is ongoing, with some participants exploring the implications of firing bullets on the soldier's motion and others questioning specific calculations related to the weight of the bullets. There is no explicit consensus, but various lines of reasoning are being examined.

Contextual Notes

Participants are working under the assumption that air resistance can be ignored and that the acceleration due to gravity is a constant 9.8 m/s². There is also a focus on the correct conversion of bullet weight from grams to kilograms.

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Homework Statement



A soldier with a machine gun, falling from an airplane gets detached from his parachute. He is able to resist the downward acceleration if he shoots 40 bullets a second at the speed of 500 m/s. If the weight of a bullet is 49 gm, what is the weight of the man with the gun ? Ignore resistance due to air and assume the acceleration due to gravity g = 9.8 m/s2

Homework Equations


acceleration in place of velocity?

The Attempt at a Solution


m_s* v = m_b*v But how do i get this velocity
 
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You could try to recall the relationship between force and momentum, that would explain how the soldier stays in the air.
 
He fires one bullet; what is the effect on his velocity? If he does that 40 times a second, what acceleration would that produce?
 
I think i have it
 

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sidt36 said:
I think i have it
Yellow text on a white background is going to burn someone's eyes out. :rolleyes:
 
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How did you get 49 in your solution since 49 gm / bullet = .049 kg / bullet?
 
I multiplied it by 1/1000
 

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