What is the potential difference between X and Y in the diagram above if the battery is of negligible internal resistance?

Calculate the current in the 3 Ω resistor in Question 47.

A given wire of resistance 10 Ω has a length of 5 m and a cross-sectional area of 4.0 × 10\(^{-3}\) m\(^2\). Calculate the conductivity of the wire.

Calculate the inductive reactance of the circuit shown above

1a. Explain what is meant by the acceleration of free fall due to gravity, g.

b. State two reasons why g varies on the surface of the Earth.

c. A stone is projected upwards at an angle of 30° to the horizontal from the top of a tower of height 100 m and it hits the ground at a point Q. If the initial velocity of projection is 100 ms\(^{-1}\), calculate the:

i. maximum height of the stone above the ground (neglect air resistance and take g as 10 ms\(^{-2}\))

ii. time it takes to reach this height

iii. time of flight.

iv. horizontal distance from the foot of the tower to the point Q (neglect air resistance and take g as 10 ms\(^{-2}\))