07 Gravitation Tutorial

A 1 . 8 ¡¿ 1 0 ' J B 5 . 5 ¡¿ 1 0 7 J C 1 . 1 ¡¿ 1 0 8 J D 2 . 2 ¡¿ 1 0 8 J to lift a m ass of 2 . o kg from its surface into outer space is m . T he energy needed f(r+ h) 2 - (, + h) " ― ― «ê «Õ ー W hat is the gravitational field strength at a height h above the ground? uniform sphere of radius r. T he gravitationa©¥ field strength at its surface is g . that of a point m ass M at the centre of the sphere. T he E ailh m ay be taken to be a O utside a uniform sphere of m ass M , the gravitational field strength is the sam e asS P 2 A m S - 2 B N m - 2 kg 2 m a kg ' s - Z D m 2 kg - 2 S P 1 T he S l base units of the gravitational constant G is r. f ¡¤ ( U ¡¤ R \ S elf - P ractice Q ueş. Tions the tw o expressions? the orbital velocity of the sam e object around the E arth? W hat are the differences in S tate the expressions for the escape ve©¥ocity of an object from the surface E arth and5 7 5 6 W nat is a geostationary sate©¥lite? W hy is the geostationary orbit unique? 5 5 W hat can you say about the total energy of a satellite that is bound to planet? 5 4 W hat is gravitational potential? S tate an expression for the gravitational potential. strength. 5 3 W nat is gravitationa©¥ fie©¥d strength? S tale an expression for the gravitational fie©¥d to? 5 2 W nat does N ewton * s ©¥aw of gravitalion states? W tral kind of objecta can it be app©¥ied 5 1 W hat l8 a gravitational fie©¥d? self - c w 1 n s T uto"

D orbital period C kinetic energy B centripetal acce©¥eration A angular velocity orbits around the E arth? S P B W hich quantity is not necessarily the sam e for satellites that are in geostationary 2R A JgŘ B m gR C D m g least T o escape * om the gravitational field of the E arth, the speed of the body m ust be at acceleration of * ee fall is g and the radius of the E arth is R . S P 7 A body of m ass m is projected from the E arth ' s s u rface. A t the point of launch, the A T oc R į B T oc R Ĵ C T oc s į D T oc p 3 W nich one of the follow ing correctly show s how T depends on P , R S ? period T . S P 6 A p©¥anet of m ass P m oves in a circular orbit of radius R round a sun or m ass S w ith E g ravitational potentia©¥ energy D angular velocity C linear speed in the orbit B centripeta©¥ acce©¥eration A gravitationa©¥ force change? W nich one of the follow ing quanliliea Increases for the satellite aa a result of the orbot at a greater dlslance from the E arth . S P 6 A n E arth eatellite ©¥©¥ m oved rrom one a©¥able circular orbit Io another atable clrcul©¥r A - 400 kJ B 2 0 0 kJ C ¡ß 2 0 0 kJ D ¡ß 4 0 0 kJ ntlal it X ©¥©¥ - 800 H re of the E arth, W nen a 1 kg m ass l8 laken from X Io Y , the w ork done on the m a©¥©¥ l©¥ kJ kg - 1 . where R II greater ©¥han the radrua of the E arth T he gravilaliona©¥ poler X and Y are tw o polnla al respective di©¥lanco©¥ R and 2 R from the con

«c) C a©¥cu©¥ate the force on each star due to the o