We can use the equation of motion:
s = ut + 1/2 x at²
Both the velocity and acceleration are downwards so we'll consider the downward direction positive
30 = 8t + 4.91t²
4.91t² + 8t - 30 = 0
Solving the quadratic:
t = 1.79 s; t = -3.42 s
Negative time is not possible so second value discarded. Time taken = 1.79 seconds
Answer:
The total resistance of the circuit is 35 ohms and the total current through the circuit is 0.34 A.
Explanation:
Given that,
The total voltage of the 4 batteries = 12 V
Values of resistances are 25 ohm and 10 ohm.
The total resistance in the series combination is given by :
![R_T=R_1+R_2\\\\R_T=25+10\\\\R_T=35\ \Omega](https://tex.z-dn.net/?f=R_T%3DR_1%2BR_2%5C%5C%5C%5CR_T%3D25%2B10%5C%5C%5C%5CR_T%3D35%5C%20%5COmega)
Let I be the total current through the circuit. It can be solved using Ohm's law as follows :
![V=IR_T\\\\I=\dfrac{V}{R_T}\\\\I=\dfrac{12}{35}\\\\I=0.34\ A](https://tex.z-dn.net/?f=V%3DIR_T%5C%5C%5C%5CI%3D%5Cdfrac%7BV%7D%7BR_T%7D%5C%5C%5C%5CI%3D%5Cdfrac%7B12%7D%7B35%7D%5C%5C%5C%5CI%3D0.34%5C%20A)
Hence, this is the required solution.
Answer:
the cost to leave the lights on 24 hours a day for one year is 31,536 cents or 315.36 dollars
Explanation:
Given that;
P = 300 watts = 300/1000 = 0.3
t = 24hrs a day
In a calendar year, we have 365 days
so;
E = 0.3 × 365 × 24
E = 2628 KWh
given that; 1 KWh = 12 cent
then 2628 KWh is x
x = 2628 × 12
x = 31,536 cents or 315.36 dollars
Therefore, the cost to leave the lights on 24 hours a day for one year is 31,536 cents or 315.36 dollars
Answer:
0.0000045 s
Explanation:
f = Frequency = 8 MHz
Clock cycle is given by
![\dfrac{1}{f}=\dfrac{1}{8\times 10^6}=1.25\times 10^{-7}\ s](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bf%7D%3D%5Cdfrac%7B1%7D%7B8%5Ctimes%2010%5E6%7D%3D1.25%5Ctimes%2010%5E%7B-7%7D%5C%20s)
Time taken for 12 clock cycles
![12\times 1.25\times 10^{-7}=0.0000015\ s](https://tex.z-dn.net/?f=12%5Ctimes%201.25%5Ctimes%2010%5E%7B-7%7D%3D0.0000015%5C%20s)
Time taken per instruction is 0.0000015 s
In reading and displaying information it requires 3 processes
1 for reading, 1 for searching and 1 for displaying.
![3\times 0.0000015=0.0000045\ s](https://tex.z-dn.net/?f=3%5Ctimes%200.0000015%3D0.0000045%5C%20s)
Time taken is 0.0000045 s
Answer:
It remains the same.
Explanation:
During physical change, the mass, number of atoms and number of molecules will remain the same.