1) The position of a mass oscillating on a spring is given by x=(7.8) cos (2t/0.68). What is the frequency of this motion?

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Question 1
1) The position of a mass oscillating on a spring is
given by
x=(7.8) cos (2t / 0.68).
What is the frequency of this motion?
2) When a 0.50 kg. mass is attached to a vertical
spring, the spring stretches by 0.15 meters. How much
mass must be attached to the spring to result in al
second period of oscillation?
3) Water in the lake behind Hover Dam is 221 meters.
What is the water pressure at the ase of the dam?
Use atmospheric pressure = 101 K Pa; density water
= 1,000
4) A solid block is attached to a spring scale. When the
block is suspended in air, the scale reads 20 Newtons;
when it is completely immersed in water, the scale
reads 17 Newtons. What is the volume of the block?
5) To water the yard, you use a hose with a diameter of
3.4 cm. Water flows from the hose with a speed of 1.1
m/s. If you partially block the end of the hose so the
effective diameter is now 0.57 cm, with what speed
does water spray from the hose?
6) Suppose you drink a liquid through a straw. Explain
why the liquid moves upward, against gravity, into
your mouth?
Transcribed Image Text:1) The position of a mass oscillating on a spring is given by x=(7.8) cos (2t / 0.68). What is the frequency of this motion? 2) When a 0.50 kg. mass is attached to a vertical spring, the spring stretches by 0.15 meters. How much mass must be attached to the spring to result in al second period of oscillation? 3) Water in the lake behind Hover Dam is 221 meters. What is the water pressure at the ase of the dam? Use atmospheric pressure = 101 K Pa; density water = 1,000 4) A solid block is attached to a spring scale. When the block is suspended in air, the scale reads 20 Newtons; when it is completely immersed in water, the scale reads 17 Newtons. What is the volume of the block? 5) To water the yard, you use a hose with a diameter of 3.4 cm. Water flows from the hose with a speed of 1.1 m/s. If you partially block the end of the hose so the effective diameter is now 0.57 cm, with what speed does water spray from the hose? 6) Suppose you drink a liquid through a straw. Explain why the liquid moves upward, against gravity, into your mouth?
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