(b) The rocket, the satellite, and any space debris at the same altitude in stable, circular orbits, will all travel at the same speed. Show that this is always true by deriving the \( v_{\text {orbin }}=\sqrt{\frac{\mathrm{G} M}{r}} \) formula for orbital velocity shown and use this to determine the orbital velocity of the satellite

5.3 An aeroplane accelerates uniformly such that it goes from rest to \( 144 \mathrm{km.hr}^{-1} \) in 8 s . Calculate 5.3 .1 the acceleration of the aeroplane. 5.3 .2 the total distance that it has travelled in this time. Total for qu

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.

5. Qué energía potencial posee un objeto con una masa de 6 kg a. A 4 m del suelo. b. A 6 m del suelo. 6. ¿A qué altura debería situarse una masa de 2 kg para poseer una energía

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

9. Si dejamos caer al suelo una piedra cuya masa es de 4 kg desde una altura de 4 m , ¿Cuál es la energía cinética cuando ya ha recorrido la mitad de la caída a) hacia el suelo? b) CCual es la velocidad cuando alcanza el suelo?