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Effectus [21]
3 years ago
9

A physics experiment is done in which three masses are used to balance a bar on a fulcrum. Two masses (21 kg and 12 kg) are plac

ed on one side of the fulcrum, 12 cm and 21 cm away, respectively. Where must the third mass (18 kg) be placed in order to make the bar balance?
Physics
1 answer:
Butoxors [25]3 years ago
8 0
You have to balance the torque in order to make the bar balance
torque on the 21 kg mass is equal to = 21*10*0.12 = 25.2 NM
torque on the 12 kg mass is equal to = 12*10*0.21=
25.2 NM
THUS total comes to 50.4 NM
to to balance the torque
50.4/180 = 0.28 that's 28 cm from the centre to the opposite of the both masses
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The final temperature of the mixture is 43.62 °C

To solve the question above, we apply the law of calorimetry

The law of calorimetry: which states that if there is no lost of heat the surrounding, heat lost is equal to heat gained, or it can be stated as heat absorbed by a cold body is equal to heat released by a hot body, provided there is no lost of heat to the surrounding.

The law above is expressed mathematically as

Cm(t₁-t₃) = C'm'(t₃-t₂)............. Equation 1

Using equation 1 to solve the question,

Let: C = specific heat capacity of glass cup, m = mass of glass cup, C' = specific heat capacity of tea, m' = mass of tea, t₁ = initial temperature of tea, t₂ = initial temperature of glass cup, t₃ = final temperature of the mixture.

From the question,

Given: m = 400 g = 0.4 kg, C = 840 J/kg°C, m' = 200g (tea is a liquid made of water and the volume of water in ml is thesame a its mass in gram) = 0.2 kg, C' = 4186 J/kg.°C, t₁ = 90°C, t₂ = 25°C

Substitute these values into equation 1 and solve for t₃

0.4(840)(90-t₃) = 0.2(4186)(t₃-25)

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837.2t₃+336t₃ = 30240+20930

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