The cross tube is made from two identical cylindrical glass tubes of radius \( r=1.073 \mathrm{~cm} \), joined together in the shape of an \( X \), such that each tube "leg" makes an angle \( \theta=57.06 \) degrees with respect to the horizontal bench top on which the cross tube rests. The vertical distance from the bench top to the mid point of the join (red dot) is \( \mathrm{d}_{1}=16.81 \mathrm{~cm} \), as shown in the diagram, and then a further vertical distance \( \mathrm{d}_{2}=22.27 \mathrm{~cm} \) from the mid point to the surface of the water filling the tube, as shown. Both top ends of the tubes are open to the atmosphere. Find the pressure difference (in Pa) between the pressure at the red dot (mid-point of the cross tube join) and atmospheric pressure. Use \( g=9.8 \mathrm{~ms}^{-2} \) as the Earth's gravitational field strength. Please enter your answer so in scientific notation that is correct to exactly 3 significant figures

A bullet is fired at an angle of \( 30^{\circ} \) to the horizontal at a velocity of \( 400 \mathrm{~m} / \mathrm{s} \) Calculate the following: 1.2 .1 The maximum height reached by the bullet 1.2 .2 The horizontal displacement when the bullet hits the ground

Calculate the following: 1.1.1 The resultant velocity in magnitudo and direction 1.1 .2 The distance the ship will cruise in 5 hours

Quesito 2D Una stecca colpisce una palla da biliardo di 250 g , inizialmente ferma, esercitando una forza media di 80 N per un tempo di 8 ms . Con quale velocita parte la palla dopo l'urto? Quesito 3D Un uotno spara in orizzontala

A car with a mass of 800 kg accelerates uniformly from rest to \( 100 \mathrm{~km} / \mathrm{h} \) for 8 seconds up an incline that makes an angle of \( 30^{\circ} \) with the horizontal. The frictional resistance is 280 N . Calculate: 3.2.1 The work done against the frictional force when the velocity reaches \( 100 \mathrm{~km} / \mathrm{h} \) \( \begin{array}{l}\text { The work done against the gravitational component parallel to } \\ \text { 3.2.2 the plane }\end{array} \)

Find the dimension of gravitational cons tant and pressure