Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. Under certain conditions, the maximum force F exerted by an incoming tsunami

ID: 2828572 • Letter: 1

Question

1. Under certain conditions, the maximum force F exerted by an incoming tsunami upon an

object near the shore can be predicted from its initial amplitude a and its initial steepness k

by F = ca2k3/2, where c is a constant. Each of the parameters a and k can in principle be

measured independently from satellite data while the wave is still far offshore.

Use calculus to estimate which of the following will give a greater percentage error in the

prediction of F: a 6% error in the measurement of a, or an 8% error in the measurement of k.

Explanation / Answer

dF/da =2f/a

dF/f=2 da/a=12%

dF/F=3/2 dK/k=12%

same error

Related Questions

1. Two students are kayaking on the Saint John River. Initially, they are floati
Question #2030489
1. Two students are sick in bed with fevers. Bridgette has a temperature of 2 de
Question #2269542
1. Two successive jacks are drawn (without replacement) from a regular deck. A.
Question #3363925
1. Two suns with identical masses M=5. 1030 kg and separated by a distance 2r=3.
Question #1463953
1. Two tests are to be run at the same a-level, with the same sample size n. Tes
Question #3390828
1. Two tractor trailers, each 12 m long and 4.0 m tall, are parked next to each
Question #1480191
1. Two traffic lights that are consecutive have been synchronized to make a run
Question #3129364
1. Two train cars are on the same track. Car A is 2800 kg ,and is traveling west
Question #1434393

Navigate

Previous
1. Under cellular conditions, which enzyme in glycolysis has the capacity to cat
Next
1. Under normal conditions, the region expected to have the lowest PCO 2 is the

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.