Remember to use GRASP and show all of your work for every question! To earn full marks you need to: 0 Write what is given and required 0 Write the needed formulas and rearrange if necessary 0 Substitute into the formulas and include units 0 State your answer with correct sig digs l. A pendulum has a mass of 2.35 kg. If the pendulum swings back and forth 110 times in 90.0 seconds, What is the length of the pendulum? 2. A vertical spring is stretched 60.0 cm by a hanging 5.00 kg mass. a. What is the spring constant? b. What will be the frequency of Vibration of this spring system? 3. On the distant planet, an astronaut performed a pendulum experiment to determine the acceleration due to gravity on the planet. She collected the following data: _ Recalling that slope = \"E , if an appropriate graph is made from the data, the slope of the best run fit-line can be calculated from the graph. If a graph of L vs T2 is constructed and the slope is calculated from the graph, the astronaut can then calculate (showing her work) the value of g using: g = slope X 411:2. What is the acceleration of gravity on the planet? \f4. Determine the acceleration of a pendulum bob as it passes through an angle of 15 degrees to the right of the equilibrium point. 19/? g. | Equilibrium Position 5. Radio telescopes receive waves from distant stats. If such a wave has a wavelength of 24 cm and travels at the speed of light (c = 3 .00 X 108 m/s), What is the frequency? 6. The speed and wavelength of coastal water waves are 4.0 m/s and 6.0 m respectively. When the waves enter a shallower region, the speed decreases to 1.7 m/s. What is the wavelength in the shallower region? 7. The rst resonant length of a closed air column occurs when the length is 40 cm. What will the third resonant length be? 8. A police car with a siren that has a frequency of 900 HZ is moving toward you at 32.0 m/s. Given that the speed of sound is 340 m/s, What is the apparent frequency you hear