Resisting Force and Stopping Time of a Bullet in Wood

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SUMMARY

The discussion focuses on calculating the resistive force exerted by wood on a bullet and the time taken for the bullet to come to rest after penetrating 15 cm. The bullet, weighing 8 g and traveling at a speed of 390 m/s, experiences a constant resistive force during its deceleration. Using the equations of motion, specifically Vf^2 = Vo^2 + 2*a*d, the resistive force can be determined, and the time to stop can be calculated using Vf = Vo + (a*t).

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with kinematic equations
  • Basic knowledge of forces and friction
  • Ability to perform unit conversions (grams to kilograms)
NEXT STEPS
  • Calculate the resistive force using the equation F = ma, where 'm' is the mass of the bullet and 'a' is the deceleration.
  • Determine the time taken for the bullet to stop using the equation t = (Vf - Vo) / a.
  • Explore the concept of energy conservation in the context of kinetic energy and work done by resistive forces.
  • Investigate the effects of different materials on bullet penetration and resistive forces.
USEFUL FOR

Physics students, educators, and anyone interested in the dynamics of projectile motion and material resistance in impact scenarios.

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Homework Statement


A rifle with a barrel length of 55 cm fires a 8 g bullet with a horizontal speed of 390 m/s. The bullet strikes a block of wood and penetrates to a depth of 15 cm.

A) What resistive force (assumed to be constant) does the wood exert on the bullet?
B) How long does it take the bullet to come to rest?

Homework Equations


Vf = Vo + (a*t)
Xf = Xi + (Vo*t) + (1/2)a(t^2)
Vf^2 = Vo^2 + 2*a*d
F of friction = u*N

The Attempt at a Solution



(I'm really at a lost and I'm not understanding how to approach this problem.)
 
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The bullet has some initial velocity when it hits the block of wood. After 15cm into the wooden block, the bullet has been stopped. This means that some force acted to decelerate the bullet. 'A' is asking you to find the magnitude of that force. Based on the information you have, 'B' is asking how long (in time, instead of distance) does it take for the bullet to stop.
 

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