| 13 | | A mass of 0.40 kg, hanging from a spring with a spring constant of 80 N/m, is set into an up-and-down simple harmonic motion. What is the speed of the mass when moving through the equilibrium point? The starting displacement from equilibrium is 0.10 m. | 1.4 m/s |
| 13 | | A mass of 4.0 kg, resting on a horizontal frictionless surface, is attached on the right to a horizontal spring with spring constant 20 N/m and on the left to a horizontal spring with spring constant 50 N/m. If this system is moved from equilibrium, what is the effective spring constant? | 70 N/m |
| 13 | | A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 4.0 cm. If a timer is started when its displacement is a maximum (hence x = 4 cm when t = 0), what is the acceleration magnitude when t = 3 s? | 25.3 m/s^2 |
| 13 | | A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 4.0 cm. If a timer is started when its displacement is a maximum (hence x = 4 cm when t = 0), what is the speed of the mass when t = 3 s? | zero |
| 13 | | A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 8.0 cm. If a timer is started when its displacement is a maximum (hence x = 8 cm when t = 0), what is the displacement of the mass when t = 3.7 s? | 0.025 m |
| 13 | | A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 8.0 cm. If the mass of the object is 0.20 kg, what is the spring constant? | 126 N/m |
| 13 | | A musical tone, sounded on a piano, has a frequency of 410 Hz and a wavelength in air of 0.800 m. What is the wave speed? | 328 m/s |
| 13 | | A runaway railroad car, with mass 30*10^4 kg, coasts across a level track at 2.0 m/s when it collides with a spring-loaded bumper at the end of the track. If the spring constant of the bumper is 2.0*10^6 N/m, what is the maximum compression of the spring during the collision? (Assume the collision is elastic.) | 0.77 m |
| 13 | | A simple pendulum has a mass of 0.25 kg and a length of 1.0 m. It is displaced through an angle of 30° and then released. After a time, the maximum angle of swing is only 10°. How much energy has been lost to friction? | 0.29 J |
| 13 | | A simple pendulum has a period of 2.0 s. What is the pendulum length? (g = 9.8 m/s^2) | 0.99 m |
| 13 | | A simple pendulum of length 1.00 m has a mass of 100 g attached. It is drawn back 30.0° and then released. What is the maximum speed of the mass? | 1.62 m/s |
| 13 | | A string is strung horizontally with a fixed tension. A wave of frequency 100 Hz is sent along the string, and it has a wave speed of 50.0 m/s. Then a second wave, one of frequency 200 Hz, is sent along the string. What is the wave speed of the second wave? | 50.0 m/s |
| 13 | | A tiny spring, with a spring constant of 1.20 N/m, will be stretched to what displacement by a 0.005 0-N force? | 4.2 mm |
| 13 | | A traveling wave train has wavelength 0.50 m, speed 20 m/s. Find the wave frequency. | 40 Hz |
| 13 | | A wave is traveling in a string at 60 m/s. When the tension is then increased 20%, what will be the resulting wave speed? | 66 m/s |