1

This print-out should have 10 questions.Multiple-choice questions may continue onthe next column or page – find all choicesbefore answering.

Serway CP 09 04001 10.0 points

When water freezes, it expands about 8.82% .What would be the pressure increase in-

side your automobile engine block if the wa-ter in it froze? The bulk modulus of ice is1.92× 109 N/m2 .

Correct answer: 1671.71 atm.

Serway CP 09 05002 10.0 points

For safety in climbing, a mountaineer uses anylon rope that is 54 m long and 0.5 cm indiameter. When supporting a 96 kg climber,the rope elongates 1 m .Find its Young’s modulus. The acceleration

of gravity is 9.8 m/s2 .

Serway CP 09 02003 (part 1 of 2) 10.0 points

If the shear stress in steel exceeds about4.2× 108 N/m2 , the steel ruptures.Find the shearing force necessary to shear

a steel bolt 1.06 cm in diameter.

004 (part 2 of 2) 10.0 pointsFind the shearing force necessary to puncha hole 0.84 cm in diameter in a steel plate0.501 cm thick.

Correct answer: 55528.5 N.

Serway CP 13 24005 10.0 points

When five people whose average mass is 77 kgsit down in a car, they find that the car drops1.43 cm lower on its springs. Then they getout of the car and bounce it up and down.The acceleration of gravity is 9.8 m/s2 .

What is the frequency of the car’s vibrationif its mass (empty) is 2300 kg?

Correct answer: 1.70464 Hz.

Energy in Harmonic Motion 02006 10.0 points

A 0.208 kg mass is attached to a spring andundergoes simple harmonic motion with a pe-riod of 0.99 s. The total energy of the systemis 2.6 J.Find the amplitude of the motion.

Correct answer: 0.787817 m.

Harmonic Motion of a Spring 01007 10.0 points

A block of unknown mass is attached to aspring of spring constant 7.4 N/m and under-goes simple harmonic motion with an ampli-tude of 7.6 cm. When the mass is halfwaybetween its equilibrium position and the end-point, its speed is measured to be 31.2 cm/s.Calculate the mass of the block.

Correct answer: 0.329315 kg.

Serway CP 13 30008 (part 1 of 2) 10.0 points

A man enters a tall tower, needing to knowits height. He notes that a long pendulumextends from the ceiling almost to the floorand that its period is 13.4 s.How tall is the tower? The acceleration of

gravity is 9.8 m/s2 .

009 (part 2 of 2) 10.0 pointsIf this pendulum is taken to the Moon, wherethe free-fall acceleration is 1.67 m/s2, what isits period there?

Holt SF 12Rev 54010 10.0 points

A simple 1.50 m long pendulum oscillates.How many complete oscillations does this

2

pendulum make in 3.17 min?The acceleration due to gravity is 9.8 m/s2 .