Answer:
![T=8.33A](https://tex.z-dn.net/?f=T%3D8.33A)
Explanation:
From the question we are told that:
Number of battery ![n=10](https://tex.z-dn.net/?f=n%3D10)
Voltage source![E=12V](https://tex.z-dn.net/?f=E%3D12V)
Lamp Power![P=10W](https://tex.z-dn.net/?f=P%3D10W)
Generally the equation for Resistance is mathematically given by
![R=\frac{V^2}{P}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7BV%5E2%7D%7BP%7D)
![R=\frac{12^2}{10}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7B12%5E2%7D%7B10%7D)
![R=14.4ohms](https://tex.z-dn.net/?f=R%3D14.4ohms)
Therefore
![R_{eq}=\frac{14.4}{10}](https://tex.z-dn.net/?f=R_%7Beq%7D%3D%5Cfrac%7B14.4%7D%7B10%7D)
![R_{eq}=1.44](https://tex.z-dn.net/?f=R_%7Beq%7D%3D1.44)
Generally the equation for Current is mathematically given by
![T=\ffrac{V}{Req}](https://tex.z-dn.net/?f=T%3D%5Cffrac%7BV%7D%7BReq%7D)
![T=\frac{12}{1.44}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B12%7D%7B1.44%7D)
![T=8.33A](https://tex.z-dn.net/?f=T%3D8.33A)
5 km northeast. Left and up would make northeast
The North Magnetic Pole is the point on the surface of Earth's Northern Hemisphere at which the planet's magnetic field points vertically downwards (in other words, if a magnetic compass needle is allowed to rotate about a horizontal axis, it will point straight down). There is only one location where this occurs, near (but distinct from) the Geographic North Pole and the Geomagnetic North Pole.
Answer: An 8 kg book at a height of 3 m has the most gravitational potential energy.
Explanation:
Gravitational potential energy is the product of mass of object, height of object and gravitational field.
So, formula to calculate gravitational potential energy is as follows.
U = mgh
where,
m = mass of object
g = gravitational field = ![9.81 m/s^{2}](https://tex.z-dn.net/?f=9.81%20m%2Fs%5E%7B2%7D)
h = height of object
(A) m = 5 kg and h = 2m
Therefore, its gravitational potential energy is calculated as follows.
![U = mgh\\= 5 kg \times 9.81 m/s^{2} \times 2 m\\= 98.1 J (1 J = kg m^{2}/s^{2})](https://tex.z-dn.net/?f=U%20%3D%20mgh%5C%5C%3D%205%20kg%20%5Ctimes%209.81%20m%2Fs%5E%7B2%7D%20%5Ctimes%202%20m%5C%5C%3D%2098.1%20J%20%20%20%20%281%20J%20%3D%20kg%20m%5E%7B2%7D%2Fs%5E%7B2%7D%29)
(B) m = 8 kg and h = 2 m
Therefore, its gravitational potential energy is calculated as follows.
![U = mgh\\= 8 kg \times 9.81 m/s^{2} \times 2 m\\= 156.96 J (1 J = kg m^{2}/s^{2})](https://tex.z-dn.net/?f=U%20%3D%20mgh%5C%5C%3D%208%20kg%20%5Ctimes%209.81%20m%2Fs%5E%7B2%7D%20%5Ctimes%202%20m%5C%5C%3D%20156.96%20J%20%20%20%20%281%20J%20%3D%20kg%20m%5E%7B2%7D%2Fs%5E%7B2%7D%29)
(C) m = 8 kg and h = 3 m
Therefore, its gravitational potential energy is calculated as follows.
![U = mgh\\= 8 kg \times 9.81 m/s^{2} \times 3 m\\= 235.44 J (1 J = kg m^{2}/s^{2})](https://tex.z-dn.net/?f=U%20%3D%20mgh%5C%5C%3D%208%20kg%20%5Ctimes%209.81%20m%2Fs%5E%7B2%7D%20%5Ctimes%203%20m%5C%5C%3D%20235.44%20J%20%20%20%20%281%20J%20%3D%20kg%20m%5E%7B2%7D%2Fs%5E%7B2%7D%29)
(D) m = 5 kg and h = 3 m
Therefore, its gravitational potential energy is calculated as follows.
![U = mgh\\= 5 kg \times 9.81 m/s^{2} \times 3 m\\= 147.15 J (1 J = kg m^{2}/s^{2})](https://tex.z-dn.net/?f=U%20%3D%20mgh%5C%5C%3D%205%20kg%20%5Ctimes%209.81%20m%2Fs%5E%7B2%7D%20%5Ctimes%203%20m%5C%5C%3D%20147.15%20J%20%20%20%20%281%20J%20%3D%20kg%20m%5E%7B2%7D%2Fs%5E%7B2%7D%29)
Thus, we can conclude that an 8 kg book at a height of 3 m has the most gravitational potential energy.