A thin string is driven at x = 0 according to y = 8 sin4t cm. Its linear mass density is 0.2 kg m⁻¹ and tension is 20 N. The string passes through a bath containing 1 kg water; 50% of the mechanical power is transferred as heat.
Sub-question 1
The power transfer to the bath is:
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Sub-question 2
The time passes before the temperature of the bath rises one degree kelvin is nearly:
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