Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

A swan on a lake gets airborne by flapping its wings and running on top of the water.
(a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.350 m/s², how far will it travel before becoming airborne?
(b) How long does this take?

a) 51.42 m.

b) 17.14 s.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Given data

Initial velocity U = 0.
Final velocity V = 6.00 m/s .
Acceleration of the swan a = 0.350 m/s².

Distance traveled by the swan

a) The distance traveled by the swan can be calculated using the equation as:

$V^{2} - U^{2} = 2 a d$

Here V is the final velocity, U is the initial velocity, a is the acceleration, and d is the distance traveled.

Substituting values in the above expression, we get,

$(6)^{2} - (0)^{2} = 2 \times (0.35) \times d 36 = 2 \times (0.35) \times d d = \frac{36}{2 \times (0.35)} d = 51.42 m$

The distance traveled by the bird is 51.42 m.

The time is taken by the swan

b) The time it takes for the swan to take-off can be calculated as:

V= U + at

Here V is the final velocity, U is the initial velocity, a is the acceleration, and t is the time.

$6 = 0 + (0.35) \times t t = \frac{6}{0.35} t = 17.14 s$

Thus, it takes 17.14 s to take the flight.

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College Physics (Urone)

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Short Answer

A swan on a lake gets airborne by flapping its wings and running on top of the water.
(a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.350 m/s², how far will it travel before becoming airborne?
(b) How long does this take?

Step by Step Solution

Given data

Distance traveled by the swan

The time is taken by the swan

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College Physics (Urone)

Answers without the blur.

Short Answer

A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.350 m/s2, how far will it travel before becoming airborne? (b) How long does this take?

Step by Step Solution

Given data

Distance traveled by the swan

The time is taken by the swan

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A swan on a lake gets airborne by flapping its wings and running on top of the water.
(a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.350 m/s², how far will it travel before becoming airborne?
(b) How long does this take?