**Essay Questions **(10 points each). **Show your work**, partial credit will be given. **Circle **your answer.

1) A stone is thrown horizontally from the top of a 37-m building. The stone hits the ground at a point 19 m from the base of the tower.

(a) Determine the speed with which the stone was thrown.

(b) Determine the speed of the stone just before it hits the ground.

2) A spring is initially compressed by 1.24 cm. If it takes 0.305 J of work to compress the spring an additional 5.0 cm, what is the spring constant of the spring?

3) A wood block of mass 23.38 kg and density 5.35 x 102 kg/m3, floats on a lake.

a) How much aluminum, density 2.70 x 103 kg/m3, can be placed on top of the block before it sinks?

b) How much lead, density 11.3 x 103 kg/m3, can be placed on top of the block before it sinks?

4) A 7.9-m long string is moved up and down with simple harmonic motion with a frequency of 91 Hz. The crests of the wave travel down the entire length of the string in 0.52 s.

(a) Determine the velocity of the wave on the sting.

(b) Determine the wavelength of the waves on the string.

5) A man driving a car toward a large vertical wall sounds his horn. The car is traveling at 92 km/h. The echo off the wall is heard by the man at a frequency of 791 Hz. What is the frequency of the car’s horn?

Subject | Mathematics |

Due By (Pacific Time) | 07/25/2014 10:00 pm |

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