SSM WWW For the damped oscillator system shown in Fig, 15-16, the block has a mass of 1.50 kg and the spring constant is 8.00 N/m. The damping force is given by −b ( dx/dt ), where b = 230 g/s. The block is pulled down 12.0 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to one-third of its initial value. (b) How many oscillations are made by the block in this time? Figure 15-16 An idealized damped simple harmonic oscillator. A vane immersed in a liquid exerts a damping force on the block as the block oscillates parallel to the x axis.
SSM WWW For the damped oscillator system shown in Fig, 15-16, the block has a mass of 1.50 kg and the spring constant is 8.00 N/m. The damping force is given by −b ( dx/dt ), where b = 230 g/s. The block is pulled down 12.0 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to one-third of its initial value. (b) How many oscillations are made by the block in this time? Figure 15-16 An idealized damped simple harmonic oscillator. A vane immersed in a liquid exerts a damping force on the block as the block oscillates parallel to the x axis.
SSM WWW For the damped oscillator system shown in Fig, 15-16, the block has a mass of 1.50 kg and the spring constant is 8.00 N/m. The damping force is given by −b(dx/dt), where b = 230 g/s. The block is pulled down 12.0 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to one-third of its initial value. (b) How many oscillations are made by the block in this time?
Figure 15-16 An idealized damped simple harmonic oscillator. A vane immersed in a liquid exerts a damping force on the block as the block oscillates parallel to the x axis.
Steel train rails are laid in 13.0-m-long segments
placed end to end. The rails are laid on a winter
day when their temperature is -6.0° C.
Part A
How much space must be left between adjacent rails if they are just to touch on a summer day when their
temperature is 32.0°C?
Express your answer with the appropriate units.
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Part B
If the rails are originally laid in contact, what is the stress in them on a summer day when their temperature is
32.0°C?
Express your answer in pascals. Enter positive value if the stress is tensile and negative value if the
stress is compressive.
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Part A
In an effort to stay awake for an all-night study
session, a student makes a cup of coffee by first
placing a 200 W electric immersion heater in
0.250 kg of water.
How much heat must be added to the water to raise its temperature from 20.5° C to 95.0°C?
Express your answer in joules.
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How much time is required? Assume that all of the heater's power goes into heating the water.
Express your answer in seconds.
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Chapter 15 Solutions
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