Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 5 - Force and Motion-I - Problems: 30

Answer

210N

Work Step by Step

The toothpick was moving at 220m/s and its penetration depth was 15mm or 0.015m. This means that in 0.015m the velocity went from 200m/s to 0m/s. Using the equation: $v^@ = v_{0}^2 + 2a\Delta x $ we can solve for acceleration where v0 = 200m/s and $\Delta x$ = 0.015m We find this to be a = $1613333 m/s^2$ Since F = ma and the mass was 0.13g or 0.00013kg then F = 210N
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