Q6: Water in a river 1.6 km wide flows at a speed of 6.0 km h−1. A captain attempts to cross the river in his ferry at right angles to the bank but by the time it has reached the opposite bank the captain awakes and notices that it is 1.0 km downstream. If the captain wishes to take his boat directly across, what angle upstream must he point the boat assuming the boat speed remains the same? ( Q7: A student whirls a red-brown rubber stopper of mass 50 g on the end of a nylon string in a horizontal clockwise circle of diameter 1.2 m (as seen from above) at a constant speed of 8 m s-1. From an instant when the stopper is moving in a northerly direction, find its change in velocity after moving round (a) one-half of a revolution; (b) one-quarter of a revolution; (c) one-tenth of a revolution.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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Q6: Water in a river 1.6 km wide flows at a speed of 6.0 km h−1. A captain
attempts to cross the river in his ferry at right angles to the bank but by the
time it has reached the opposite bank the captain awakes and notices that it is
1.0 km downstream. If the captain wishes to take his boat directly across, what
angle upstream must he point the boat assuming the boat speed remains the
same? (
Q7: A student whirls a red-brown rubber stopper of mass 50 g on the end of a
nylon string in a horizontal clockwise circle of diameter 1.2 m (as seen from
above) at a constant speed of 8 m s-1. From an instant when the stopper is
moving in a northerly direction, find its change in velocity after moving round
(a) one-half of a revolution; (b) one-quarter of a revolution; (c) one-tenth of a
revolution.
Transcribed Image Text:Q6: Water in a river 1.6 km wide flows at a speed of 6.0 km h−1. A captain attempts to cross the river in his ferry at right angles to the bank but by the time it has reached the opposite bank the captain awakes and notices that it is 1.0 km downstream. If the captain wishes to take his boat directly across, what angle upstream must he point the boat assuming the boat speed remains the same? ( Q7: A student whirls a red-brown rubber stopper of mass 50 g on the end of a nylon string in a horizontal clockwise circle of diameter 1.2 m (as seen from above) at a constant speed of 8 m s-1. From an instant when the stopper is moving in a northerly direction, find its change in velocity after moving round (a) one-half of a revolution; (b) one-quarter of a revolution; (c) one-tenth of a revolution.
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