The brake mechanism used to reduce gunrecoil consists of a piston attached to a barrelmoving in a fixed cylinder filled with oil. Asbarrel recoils with initial velocity vo, pistonmoves, and oil is forced through orifices in apiston, causing piston and cylinder todecelerate at a rate proportional to theirvelocity. Determine v(t).PistonOila =-k/vO a. v(t) = vo ektOb.V(t) = V-2kt + vỗO c. V(t) = v-2kt + voO d. v(t) = vo e kt

Given,decelation of the system is given as,a = -kvinitally, when t = 0, v = v0

Answered: Piston Oil

Science

Physics

Piston Oil

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 87AP: A car engine moves a piston with a circular cross-section of 73000.002cm in diameter a distance of...

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Question

The brake mechanism used to reduce gun
recoil consists of a piston attached to a barrel
moving in a fixed cylinder filled with oil. As
barrel recoils with initial velocity vo, piston
moves, and oil is forced through orifices in a
piston, causing piston and cylinder to
decelerate at a rate proportional to their
velocity. Determine v(t).
Piston
Oil
a =-k/v
O a. v(t) = vo ekt
Ob.
V(t) = V-2kt + vỗ
O c. V(t) = v-2kt + vo
O d. v(t) = vo e kt

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