Answer:
(a) 2.33 A
(b) 15.075 V
Explanation:
From the question,
The total resistance (Rt) = R1+R2 = 3.85+6.47
R(t) = 10.32 ohms.
Applying ohm's law,
V = IR(t)..........equation 1
Where V = Emf of the battery, I = current flowing through the circuit, R(t) = combined resistance of both resistors.
Note: Since both resistors are connected in series, the current flowing through them is the same.
Therefore,
I = V/R(t)............. Equation 2
Given: V = 24 V, R(t) = 10.32 ohms
Substitute these values into equation 2
I = 24/10.32
I = 2.33 A.
Hence the current through R1 = 2.33 A.
V2 = IR2.............. Equation 3
V2 = 2.33(6.47)
V2 = 15.075 V
Explanation:
The distance that a car travels down the interstate can be calculated with the following formula:
Distance = Speed x Time
(A) Speed of the car, v = 70 miles per hour = 31.29 m/s
Time, d = 6 hours = 21600 s
Distance = Speed x Time
D = 31.29 m/s × 21600 s
D = 675864 meters
or
![D=6.75\times 10^5\ m](https://tex.z-dn.net/?f=D%3D6.75%5Ctimes%2010%5E5%5C%20m)
(b) Time, d = 10 hours = 36000 s
Distance = Speed x Time
D = 31.29 m/s × 36000 s
D = 1126440 meters
or
![D=1.12\times 10^6\ m](https://tex.z-dn.net/?f=D%3D1.12%5Ctimes%2010%5E6%5C%20m)
(c) Time, d = 15 hours = 54000 s
Distance = Speed x Time
D = 31.29 m/s × 54000 s
D = 1689660 meters
or
![D=1.68\times 10^6\ m](https://tex.z-dn.net/?f=D%3D1.68%5Ctimes%2010%5E6%5C%20m)
Hence, this is the required solution.
Answer:
t=1.623 sec
Explanation:
The distance traveled before the echo is had is:
![distance=2d, d=280\ m\\\\=280\times 2\\\\=560 \ m](https://tex.z-dn.net/?f=distance%3D2d%2C%20d%3D280%5C%20m%5C%5C%5C%5C%3D280%5Ctimes%202%5C%5C%5C%5C%3D560%20%5C%20m)
Given the speed of sound as v=345m/s, we use the speed equation to solve for t:
![v=\frac{d}{t}\\\\345\ m/s=\frac{560m}{t}\\\\t=\frac{560}{360}\\\\=1.623 \ s](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bd%7D%7Bt%7D%5C%5C%5C%5C345%5C%20m%2Fs%3D%5Cfrac%7B560m%7D%7Bt%7D%5C%5C%5C%5Ct%3D%5Cfrac%7B560%7D%7B360%7D%5C%5C%5C%5C%3D1.623%20%5C%20s)
Hence, it takes 1.623 seconds to hear the echo.
The mass of the object will remain the same rather it's on the moon or on the Earth and even in other places. But the weight will change on the moon, so its weight will be different from the one it had on Earth
In order to increase muscular endurance, it is important to take part in activities that increase the size of muscle cells and the amount of blood that is delivered to the cells<span>. The increased size of the muscle cells reuires them to contract less to accomplish the same task; moreover, the increased blood flow helps deliver oxygen and nutrients to the blood.</span>