Answer:9.17 m/s^2
Explanation:
mass=1200kg
Force=11 x 10^3 N
Acceleration=force ➗ mass
Acceleration=11 x 10^3 ➗ 1200
Acceleration=9.17
Acceleration=9.17 m/s^2
Answer:
dt/dx = -0.373702
dt/dy = -1.121107
Explanation:
Given data
T(x, y) = 54/(7 + x² + y²)
to find out
rate of change of temperature with respect to distance
solution
we know function
T(x, y) = 54 /( 7 + x² + y²)
so derivative it x and y direction i.e
dt/dx = -54× 2x / (7 +x² + y²)² .........................1
dt/dy = -54× 2y / (7 + x² + y²)² .........................2
now put the value point (1,3) as x = 1 and y = 3 in equation 1 and 2
dt/dx = -54× 2(1) / (7 +(1)² + (3)²)²
dt/dx = -0.373702
and
dt/dy = -54× 2(3) / (7 + (1)² + (3)²)²
dt/dy = -1.121107
Answer:
If the Earth absorbs more insolation from the sun than it radiates back, the Earth. warms
To solve the problem it is necessary to apply the concepts related to the voltage in a coil, through the percentage relationship that exists between the voltage and the number of turns it has.
So things our data are given by
![N_1 = 160](https://tex.z-dn.net/?f=N_1%20%3D%20160)
![N_2 = 1400](https://tex.z-dn.net/?f=N_2%20%3D%201400)
![\Delta V_{1rms} = 62V](https://tex.z-dn.net/?f=%5CDelta%20V_%7B1rms%7D%20%3D%2062V)
PART A) Since it is a system in equilibrium the relationship between the two transformers would be given by
![\frac{N_1}{N_2} = \frac{\Delta V_{1rms}}{\Delta V_{2rms}}](https://tex.z-dn.net/?f=%5Cfrac%7BN_1%7D%7BN_2%7D%20%3D%20%5Cfrac%7B%5CDelta%20V_%7B1rms%7D%7D%7B%5CDelta%20V_%7B2rms%7D%7D)
So the voltage for transformer 2 would be given by,
![\Delta V_{2rms} = \frac{N_2}{N_1} \Delta V_{1rms}](https://tex.z-dn.net/?f=%5CDelta%20V_%7B2rms%7D%20%3D%20%5Cfrac%7BN_2%7D%7BN_1%7D%20%5CDelta%20V_%7B1rms%7D)
PART B) To express the number value we proceed to replace with the previously given values, that is to say
![\Delta V_{2rms} = \frac{N_1}{N_2} \Delta V_{1rms}](https://tex.z-dn.net/?f=%5CDelta%20V_%7B2rms%7D%20%3D%20%5Cfrac%7BN_1%7D%7BN_2%7D%20%5CDelta%20V_%7B1rms%7D)
![\Delta V_{2rms} = \frac{1400}{160} 62V](https://tex.z-dn.net/?f=%5CDelta%20V_%7B2rms%7D%20%3D%20%5Cfrac%7B1400%7D%7B160%7D%2062V)
![\Delta V_{2rms} = 1446.66V](https://tex.z-dn.net/?f=%5CDelta%20V_%7B2rms%7D%20%3D%201446.66V)