A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 8.1 rad/s. The drawing shows the position of the block when the spring is unstrained. This position is labeled x= 0 m. The drawing also shows a small bottle located 0.080 m to the right of this position. The block is pulled to the right, stretching the spring by 0.050 m, and is then thrown to the left. In order for the block to knock over the bottle, it must be thrown with a speed exceeding v0. Ignoring the width of the block, find v0.

Water is siphoned from a large tank and discharges into the atmosphere through a 50-mm diameter tube. the end of the tube is b = 2.6 m below the tank bottom which is a = 6.7 m deep, and viscous effects are negligible. determine the maximum height h over which the water can be siphoned without cavitation occurring. atmospheric pressure is 101.4 kpa, and the water vapor pressure is 1.79 kpa (absolute). report your answer in meters to two decimal places.

There are multiple tuning forks present in the room, and annie strikes one with a natural frequency of 400 hz. which of these other tuning forks will begin to vibrate through resonance and make the sound louder? a 200 hz tuning fork a 400 hz tuning fork a 800 hz tuning fork a 1600 hz tuning fork

Read the passage about bird food and bird watching. noted scientist dr. elsa birde described the effect of adding a mixture of dried apples and raisins to the previous feed of sunflower seeds, millet, thistle seed, and cracked corn in bird feeders in her yard. over three years, dr. birde observed that the new mixture increased the number of songbirds at her feeders, especially during the months of april and may. as she has done for several years, dr. birde recorded, at the same time each day, the number of birds at each of her four feeders. she noted that the third year using the mixture coincided with the largest increase. there was a twenty-five percent increase in the number of songbirds over times when this mixture was not used. dr. birde also noted that in the third year she used a specific ratio of the ingredients, carefully measuring, which she had not done in previous years. the third year also had a warmer than normal spring, and a construction project began in a neighborhood near dr. birde’s. dr. birde is now going to produce this formula for sale and advertise to customers that they may see the same twenty-five percent increase in songbirds at their feeders. dr. e. birde, journal of scientific bird feeding which scientific claim can be made? a. songbird numbers will increase due to the effects of climate change increasing global temperatures. b.songbirds appear more often in april and may. c. a combined ratio is the main reason songbird numbers increased. d. a study by dr. birde showed that the number of songbirds in her yard increased due to a modified food source.