Q. 6 If \( \mathrm{A}=2 \mathrm{i}-3 \mathrm{j}+4 \mathrm{k} \) and \( \mathrm{B}=\mathrm{i}+2 \mathrm{j}+5 \mathrm{k} \), \( \quad \) (i) Evaluate AB Q. 7 (a) Differentiate between Instantancous Velocity and Instantaneous Accelcration (b) The position of an objeet is given as \( \mathrm{x}=2.3 \mathrm{~m}+1.4 \mathrm{~m} / \mathrm{s} \mathrm{t}+0.65 \mathrm{~m} / \mathrm{s} \mathrm{t}^{3} \). Calculate the velocity as a

157. Una bombola a pareti rigide di 30 L contiene \( 0,5 \mathrm{moli} \) di un gas perfetto biatomico alla temperatura iniziale di \( 20^{\circ} \mathrm{C} \). Essa viene tenuta sotto il sole per un certo tem- po e si nota che la temperatura finale è di \( 80^{\circ} \mathrm{C} \). Trascu- rando la dilatazione termica della bombola, si calcoli: - il lavoro fatto dal gas; - la variazione di pressione del gas; - la variazione di energia interna del gas. [0 J; \( \left.8,3 \times 10^{3} \mathrm{~Pa} ; 6,2 \times 10^{2} \mathrm{~J}\right] \) (Esame di Fisica, Corso di laurea in Farmacia, Università La Sapienza di Roma, 2006/2007)

3. Si un ratón y un elefante comen ambos con la misma energía cinética, ¿podrías decir cuál corre más aprisa? Explica tu respuesta en términos de la ecuación de la ECT?

QUESTION 6 (Start on a new page.) It has been established that the planet Omega has a moon and that the moon of Omega orbits the planet at a height, above the surface of Omega, which is equal to twice the radius of Omega. The mass of planet Omega is \( 3 \times 10^{15} \mathrm{~kg} \) and the mass of its moon is \( 1.5 \times 10^{13} \mathrm{~kg} \). The radius of the planet Omega is \( 8.5 \times 10^{6} \mathrm{~m} \) and the radius of its moon is \( 2.5 \times 10^{5} \mathrm{~m} \). 6.1 Determine the distance between the centre of the planet Omega and the centre of its moon.

An object of mars 5.0 kg moves around a aincle of radius 6.0 m coith a constant speeds of 10 . om/s. Calc-te 1 . angular velocity Centripetal force on the body

QUESTION 7 (Start on a new page.) 7.1 Reflection of light (and other forms of electromagnetic radiation) occurs when the waves meet a surface or other boundary that does not absorb the energy of the radiation and reflects the waves off the surface. Draw a fully labelled ray diagram to illustrate reflection.