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

52. A certain planet has a mass of \( 3.3 \times 10^{23} \mathrm{~kg} \) and a adjus of \( 2.6 \times 10^{6} \mathrm{~m} \). What is the acceleration due to gravity on the surface of this planet? a. \( 0.54 \mathrm{~m} / \mathrm{s}^{2} \) b. \( 3.3 \mathrm{~m} / \mathrm{s}^{2} \) c. \( 4.0 \mathrm{~m} / \mathrm{s}^{2} \) d. \( 9.8 \mathrm{~m} / \mathrm{s}^{2} \)

Cognome, classe, data Quesito 1A Un sistema è composto da due sfere a contatto su un piano orizzontale. Sfera 1: sfera omogenea di raggio 2 cm e massa 3 kg . Sfera 2: sfera omogenea di raggio 4 cm e massa 6 kg . Calcolare le coordinate del centro di massa.

3) Se sabe que la aceleración (a) se define como el cambio de la velocidad \( (v) \) en el tiempo (t), entonces \( a=\frac{d}{d t} v \), si la velocidad en cierto sistema está determinada por: \( v(t)=t^{2}-5 t \) a) ¿Cuál será el tiempo en el cual la velocidad es constante? \( v(t)=-S \)

ON 1: KINEMATICS A ship that can cruise at \( 48 \mathrm{~km} / \mathrm{h} \) in still waters sets course due south-west. It is driven off course by a current flowing West \( 26^{\circ} \) North at a velocity of \( 8 \mathrm{~km} / \mathrm{h} \). Calculate the following: \( 1.1 .1 \quad \) The resultant velocity in magnitude and direction \( 1.2 \quad \) 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