/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q108PP Archerfish are tropical fish tha... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Archerfish are tropical fish that hunt by shooting drops of water from their mouths at insects above the water’s surface to knock them into the water, where the fish can eat them. A 65-g fish at rest just at the surface of the water can expel a 0.30-g drop of water in a short burst of 5.0 ms. High-speed measurements show that the water has a speed of 2.5 m/s just after the archerfish expels it.

What is the average force the fish exerts on the drop of water? (a) 0.00015 N; (b) 0.00075 N; (c) 0.075 N; (d) 0.15 N.

Short Answer

Expert verified

The correct answer is (d) 0.15 N.

Step by step solution

01

Identification of given data

The velocity of water is vw=2.5 m/s.

The mass of water is mw=0.3×10-3kg.

The velocity of insect is vi=2 m/s.

The time is t=5×10-3 s.

02

Concept/Significance of change in Momentum and average force

The initial speed of the water is zero, so the change in momentum for the water is,

Δ±è=mwvw         ......(1)

The average force is given by,

Favg=Δ±èt        ......(2)

03

Determine the average force the fish exerts on the drop of water

Substitute vw=2.5 m/s, andmw=0.3×10-3kg in the equation (1) to find the change in momentum.

∆p=0.3×10-3kg2.5m/s=7.5×10-4kg.m/s

Substitute Δp=7.5×10-4kg⋅m/s, andt=5×10-3 s in the equation (2) to find the average force.

Favg=7.5×10-4kg.m/s5×10-3s=0.15N

Therefore, the correct answer is (d) 0.15 N.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.

A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of20m/s2, and the car has an acceleration of3.40m/s2. The car overtakes the truck after the truck has moved60.0m. (a) How much time does it take the car to overtake the truck? (b) How far was the car behind the truck initially? (c) What is the speed of each when they are abreast? (d) On a single graph, sketch the position of each vehicle as a function of time. Takex=0at the initial location of the truck.

In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the center. In coordinates for which one of the C-Hbonds is in the direction of role="math" localid="1655792646877" i^+j^+k^, an adjacent C-Hbond is in thei^-j^-k^direction. Calculate the angle between these two bonds.

In 2005 astronomers announced the discovery of large black hole in the galaxy Markarian 766 having clumps of matter orbiting around once every27 hours and moving at30,000 km/s . (a) How far these clumps from the center of the black hole? (b) What is the mass of this black hole, assuming circular orbits? Express your answer in kilogram and as a multiple of sun’s mass. (c) What is the radius of event horizon?

Given two vectors A→=4.00i^+7.00j^ and B→=5.00i^−7.00j^, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A→−B→; and (c) find the magnitude and direction of the vector difference A→−B→. (d) In a vector diagram showA→,B→ and A→−B→, and show that your diagram agrees qualitatively with your answer to part (c).

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.