61. A host pours the remnants of several bottles of wine into a jug after a party. The host then inserts a cork with a 2.00-cm diameter into the bottle, placing it in direct contact with the wine. The host is amazed when the host pounds the cork into place and the bottom of the jug (with a 14.0-cm diameter) breaks away. Calculate the extra force exerted against the bottom if he pounded the cork with a 120-N force.

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Chapter1: Units, Trigonometry. And Vectors
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Pascal's principle, item # 1 (G R E S A)
61. A host pours the remnants of several
bottles of wine into a jug after a party.
The host then inserts a cork with a
2.00-cm diameter into the bottle,
placing it in direct contact with the
wine. The host is amazed when the
host pounds the cork into place and
the bottom of the jug (with a 14.0-cm
diameter) breaks away. Calculate the
extra force exerted against the bottom
if he pounded the cork with a 120-N
force.
62. A certain hydraulic system is designed
to exert a force 100 times as large as
the one put into it. (a) What must be
the ratio of the area of the cylinder that
is being controlled to the area of the
master cylinder? (b) What must be the
ratio of their diameters? (c) By what
factor is the distance through which
the output force moves reduced
relative to the distance through which
the input force moves? Assume no
losses due to friction.
*********
Transcribed Image Text:61. A host pours the remnants of several bottles of wine into a jug after a party. The host then inserts a cork with a 2.00-cm diameter into the bottle, placing it in direct contact with the wine. The host is amazed when the host pounds the cork into place and the bottom of the jug (with a 14.0-cm diameter) breaks away. Calculate the extra force exerted against the bottom if he pounded the cork with a 120-N force. 62. A certain hydraulic system is designed to exert a force 100 times as large as the one put into it. (a) What must be the ratio of the area of the cylinder that is being controlled to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses due to friction. *********
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