How Fast Does Howard Fly from the Cannon?

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Homework Help Overview

The problem involves a scenario where a human projectile, Howard, is fired from a cannon, and participants are tasked with determining his initial velocity based on the conservation of momentum principles. The subject area relates to mechanics, specifically momentum and motion in one dimension.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the conservation of momentum, noting that the momentum of Howard moving forward must equal the momentum of the cannon moving backward. There are questions about the initial conditions, particularly regarding the zero initial momentum of the system.

Discussion Status

The discussion is active, with participants exploring the implications of momentum conservation and raising questions about the directions of motion. Some guidance on maintaining directionality in momentum calculations has been provided, but no consensus has been reached on the specific initial velocity of Howard.

Contextual Notes

There is an emphasis on the initial conditions of the system, specifically that both Howard and the cannon start from rest, leading to a zero initial momentum. Participants are also considering the implications of mass and velocity in their calculations.

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The amazing 'Howard the Human Projectile' is fired straight forward from a 300 kg circus cannon during a recent Ringling Bros. Barnum and Baily performance in La Plata. Howard has a mass of 75 kg and the cannon recoils with a velocity of 2.5 m/s, at what initial velocity does Howard leave the cannon?




a. 2.5 m/s

b. 10 m/s

c. 25 m/s

d. 187.5 m/s

I am completely stuck ):
 
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momentum is conserved
the momentum of howard going forward = momentum of cannon going backwards
 
Note that initially, the cannon+Howard have no velocity, and so zero momentum. So the sum of the momenta of the cannon and Howard afterward also has to equal zero, so that you conserve momentum (initial=final). Be sure to keep tabs on your directions (Howard moves opposite the direction of the cannon) because momentum is a vector (but you're dealing with one dimension, which simplifies it a bit).
 
If 300kg object moved backward at the rate of 2.5m/s, then how far did a 75kg object move back?

(2.5/75)*300
 

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