Answer: One and fifty six thousandths
Step-by-step explanation:
The 1 represents one so that first the decimal point represents and so that’s second 56 represents the thousands place so it would be fifty six thousandths since it is on the right side of the decimal.
I do not think we need to rewrite the first two numbers in the given above because they are already the simplest forms of themselves being whole numbers. However, the third number may be rewritten as 1/2 by dividing both numerator and denominator by 5 and the last one as 2/25 by dividing both numerator and denominator by 4.
Answer:
4 ohms
Step-by-step explanation:
The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"
Current, I₁ = 5 A
Heat, Q₁ = 1200 units
Resistance, R₁ = 8 ohms
Time, t₁ = 2 min = 120 s
New heat, Q₂ = 6000 units
Current, I₂ = 10 A
New time, t₂ = 5 min = 300 s
We need to find the new resistance.
Heat developed is given by :
![Q=I^2Rt](https://tex.z-dn.net/?f=Q%3DI%5E2Rt)
![\dfrac{Q_1}{I_1^2R_1t_1}=\dfrac{Q_2}{I_2^2R_2t_2}\\\\R_2=\dfrac{Q_2\times I_1^2R_1t_1}{Q_1I_2^2t_2}\\\\R_2=\dfrac{6000\times 5^2\times 8\times 120}{1200\times 10^2\times 300}\\\\=4\ \Omega](https://tex.z-dn.net/?f=%5Cdfrac%7BQ_1%7D%7BI_1%5E2R_1t_1%7D%3D%5Cdfrac%7BQ_2%7D%7BI_2%5E2R_2t_2%7D%5C%5C%5C%5CR_2%3D%5Cdfrac%7BQ_2%5Ctimes%20I_1%5E2R_1t_1%7D%7BQ_1I_2%5E2t_2%7D%5C%5C%5C%5CR_2%3D%5Cdfrac%7B6000%5Ctimes%205%5E2%5Ctimes%208%5Ctimes%20120%7D%7B1200%5Ctimes%2010%5E2%5Ctimes%20300%7D%5C%5C%5C%5C%3D4%5C%20%5COmega)
So, the new resistance is 4 ohms.