Please solve the following problems. You must show all work. When completesubmit in word doc.

#1. A spring with negligible mass stretches 34.0 cm when a144 g gram mass is suspended from it. Now I suspend a mass m from thespring. If it oscillates at an angular frequency of 4.51 rad/s, what is themass?

#2. A 3.45 kg mass vertically compresses a spring 67.0 cmbefore it starts to rebound. How high will the mass move above the uncompressedif the mass is left to “bounce” back up?

#3. Two children are sending signals along a cord of totalmass 0.50 kg tied between tin cans with a tension of 35 N. It takes thevibrations in the string 0.50 s to go from one child to the other. How farapart are the children?

#4. A person is watching water waves at the ocean and theynotice the peak to peak distance between the waves is 3.4 m. They also noticethere are 55 waves every 10.0 seconds passing the end of a pier. How fast arethe waves going?

#5. A whale sends an undersea signal to its mate and thengets a response 4.5 seconds later. How far away is the whale’s mate?

#6. A person sees a distant lightning strike, then 4.5seconds later he hears the thunder clap. If it is 35^o degreesCelsius, how far away was the lightning strike?

#7. A single bass amplifier produces a volume of 102 dB.What is the sound level if a guitar amplifier that produces 98 dB is played atthe same time?

#8. A string on a guitar vibrates at 420 Hz. If the tensionon the string is 102 N, what is the mass of the string if the portion thatvibrates is 63.7 cm long?