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Lesechka
1 month ago
9

A grasshopper floating in water generates waves at a rate of three per second with a wavelength of two centimeters. (a) What is

the period of these waves? (b) What is the wave velocity?
Physics
1 answer:
Keith_Richards [3.2K]1 month ago
8 0

Answer:

(a) 0.33 seconds

(b) 6 cm/s

Explanation:

The frequency, f = 3 waves per second

and the wavelength, λ = 2 cm = 0.02 m

(a) The wave period is defined as the duration required for one complete oscillation of the wave. This period is the inverse of the frequency.

T = 1 / f = 1 / 3 = 0.33 seconds

(b) The relationship between wave speed, frequency, and wavelength is determined by

v = f x λ

v = 3 x 0.02 = 0.06 m/s

v = 6 cm/s

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1 month ago
A 50-g cube of ice, initially at 0.0°C, is dropped into 200 g of water in an 80-g aluminum container, both initially at 30°C.
Ostrovityanka [3204]

Answer:

b. 9.5°C

Explanation:

m_i = Ice mass = 50 g

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m_w = Water mass = 200 g

c_w = Water's specific heat = 4186 J/kg⋅°C

m_{Al} = Aluminum mass = 80 g

c_{Al} = Aluminum's specific heat = 900 J/kg⋅°C

The equation governing heat exchange in the system is presented by

m_i(L_f+c_wT)+m_wc_w(T-T_i)+m_{Al}c_{Al}=0\\\Rightarrow 0.05\times (3.33\times 10^5+4186\times T)+0.2\times 4186(T-30)+0.08\times 900(T-30)=0\\\Rightarrow 1118.5T-10626=0\\\Rightarrow T=\dfrac{10626}{1118.5}\\\Rightarrow T=9.50022\ ^{\circ}C

The final equilibrium temperature calculates to 9.50022°C

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serg [3582]

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Given this definition, when measuring the volume of water, it's crucial to read the measurement at the bottom of the meniscus curve, as water forms a concave shape.

Taking the reading at eye level ensures an accurate volume, as it aligns with this method.

Additionally, this way of reading balances total pressure with atmospheric pressure by adjusting the cylinder's height to match the water level.

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