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Softa [21]
3 years ago
8

80 grams of iron at 100°C is dropped into 200 of water at 20°C contained in an iron vessel of mass 50 gram find the resulting te

mperature.​
Physics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

the resulting temperature is 23.37 ⁰C

Explanation:

Given;

mass of the iron, m₁ = 80 g = 0.08 kg

mass of the water, m₂ = 200 g = 0.2 kg

mass of the iron vessel, m₃ = 50 g = 0.05 kg

initial temperature of the iron, t₁ = 100 ⁰C

initial temperature of the water, t₂ = 20 ⁰C

specific heat capacity of iron, c₁ = 462 J/kg⁰C

specific heat capacity of water, c₂ = 4,200 J/kg⁰C

let the temperature of the resulting mixture = T

Apply the principle of conservation of energy;

heat lost by the hot iron = heat gained by the water

m_1c_1 \Delta t_1 = m_2c_2\Delta t_2\\\\m_1c_1 (100 - T) = m_2c_2 (T- 20)\\\\0.08 \times 462 (100-T) = 0.2 \times 4,200 (T-20)\\\\36.96 (100-T) = 840 (T-20) \\\\100 - T = 22.72 (T-20)\\\\100-T = 22.72 T - 454.4 \\\\554.4 = 23.72T\\\\T = \frac{554.4}{23.72} \\\\T = 23.37 \ ^0C

Therefore, the resulting temperature is 23.37 ⁰C

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seropon [69]

Answer:

Lilly's speed is two times John's speed.

Explanation:

m = Mass

a = Acceleration

t = Time taken

u = Initial velocity

v = Final velocity

The force they apply on each other will be equal

F=ma\\\Rightarrow a_l=\frac{F}{m_l}

F=ma\\\Rightarrow a_j=\frac{F}{2m_l}\\\Rightarrow a_j=\frac{1}{2}a_l

v=u+at\\\Rightarrow v_l=0+\frac{F}{m_l}\times t\\\Rightarrow v_l=a_lt

v=u+at\\\Rightarrow v_l=0+\frac{F}{2m_l}\times t\\\Rightarrow v_j=\frac{1}{2}a_lt\\\Rightarrow v_j=\frac{1}{2}v_l\\\Rightarrow v_l=2v_j

Hence, Lilly's speed is two times John's speed.

4 0
3 years ago
A radar operates at a wavelength of 3 centimeters. what is the frequency of the these waves? the speed of light is 3 × 108 m/s .
aliya0001 [1]
We are given information:
λ = wavelength = 3cm = 0.03m \\ 
c = speed of light =  3* 10^{8}m/s

Formula that connects wavelength and frequency is:
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What is required in the making of hemoglobin
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a cube of silver has a mass of 21 kg. calculate the length of the cube's side in inches. the density of silver is 10.49 g/cm3.
Marta_Voda [28]

Density- It is a measurement of that how material is packed together tightly.

Its formula is ρ=m/v

where ρ is the density of material

m is the mass

v is the volume  

here we have to find the length of cube's side

a cube of silver has a mass = 21 kg. = 21×10³ [∵1kg = 1000g ]

density of silver = 10.49g/cm³

the length of the cube's side = ?

v=m/ρ

l³ = 21×10³ /10.49 ≈ 2×10³ cm³

l =∛(2×10³)cm³

l = 1.26 ×10 = 12.6 cm

l = 4.96 inches                                       [∵ 1 cm = 0.394 inch ]

the length of the cube's side is 4.96 inches  

to know more about density :

brainly.com/question/10847047

#SPJ4

3 0
1 year ago
How much net force is required make a 10 kg box accelerate at a rate of 5 m/s2?
777dan777 [17]
F = (mass)(acceleration)

F = (10)(5)

F = 50

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