Question

1. A 10 kg box is at rest at the end of an unstretched spring with constant k-4000N/m. The mass is struck with a hummer giving it a velocity of 6.0m/s to the right across a frictionless Surface. What is the amplitude of the resulting oscillations of the system? (a) 2m (b) 0.6m (c) 0.5m (d) 0.4m (e) 0.3m 10 kg 2. When a 0.20kg block is suspended from a vertically hanging spring it stretches the spring from its original length of 0.050m to 0.060m. The same block is attached to the same spring and placed on a horizontal, frictionless surface. The block is then pulled so that the spring stretches to a total length of 0.10m. The block is released at time t-0 and undergoes simple harmonic motion. What is the frequency of the motion? (a) 0.5Hz (b) 1 Hz (c) 5 Hz (d) 10 Hz (e) 31 Hz 0.20 kg 3. If the amplitude of the motion of a simple harmonic oscillator is doubled, by what factor does the frequency of the oscillator change? (a) 2 (b) 4 (c) 1 4. A block of mass 1.5 kg is suspended from the ceiling by a spring with spring constant k- 15 N/m. A force of 20 N is applied to the block in the +y-direction, thereby compressing the spring (see picture). The block is initially at rest. At time t 0, the force is removed and the block starts to oscillate down and up. 15 N/m What is the amplitude of the oscillation? (c) 1.0 m (a) 0.5m (d) 1.3 m (b) 0.7 m (e) 2.0 m F 20 N

Answer 1