| A | B |
|---|
| A load of 45 N attached to a spring that is hanging vertically stretches the spring 14 cm. What is the spring constant? | 321.43 N/m |
| How much force is required to pull a spring 3.0 cm from its equilibrium position if the spring constant is 2.7 x 10^3 N/m? | -81 N |
| An elastic cord is 65 cm long when a weight of 55 N hangs from it and is 85 cm long when a weight of 80 N hangs from it. What is the "spring" constant of this elastic cord? | 125 N/m |
| When a 65-kg person climbs into a 1000-kg car, the car's springs compress vertically by 2.8 cm. What will be the frequency of vibration when the car hits a bump? Ignore damping. | 0.74 Hz |
| A small fly of mass 0.15 g is caught in a spider's web. The web vibrates predominantly with a frequency of 4.0 Hz. (a) What is the value of the effective spring constant k for the web? (b) At what frequency would you expect the web to vibrate if an insect of mass 0.50 g were trapped? | 0.095 N/m; 2.19 Hz |
| A balsa wood block of mass 50 g floats on a lake, bobbing up and down at a frequency of 2.5 Hz. (a) What is the value of the effective spring constant of the water? | 12.34 N/m |
| An elastic cord vibrates with a frequency of 3.0 Hz when a mass of 0.60 kg is hung from it. What will its frequency be if only 0.38 kg hangs from it? | 3.77 Hz |
| You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling almost touches the floor and that its period is 12 s. How tall is the tower? | 35.78 m |
| What is the period of a 3.98-m-long pendulum? | 4.00 s |
| What is the acceleration due to gravity at a location where a 6.00-m-long pendulum swings through exactly 100 cycles in 492 s? | 9.79 m/s^2 |
