A hydraulic press consists of two cylinders of cross-sectional radius r\(_1\) and r\(_2\). If a force of 200N applied to the smaller piston (r\(_1\)), causes a force of 3200N to be transmitted onto the larger piston (r\(_2\)). The ratio r\(_1\): r\(_2\) is?

The gravitational pull between two bodies is 20N. Find the gravitational pull when their distance of separation is doubled.

The volume of a 1 cm\(^3\) metal ball increases by 0.0018 cm\(^3\) when heated through temperature θ. If the linear expansivity of the ball is 2.0 x 10\(^{-5} K^{-1}\), find θ.

For a gas, which pair of variables is inversely proportional to each other (provided other conditions are constant), where P = pressure, T= temperature, V= volume, and n= number of molecules?

A boy uses a single string pulley system to lift a mass of 20kg moving with a velocity of 5ms\(^{-1}\). What is the power developed by the boy if g = 10ms\(^{-2}\)?