Question

Solve Q1, Q5 and any four other questions. YOU MUST DO Q1 AND Q5. You are required to solve each problem explicitly, i.e. draw diagrams when required, show equations, derive any required quantities, and write down explicitly any calculations that you perform. Q1 (i) Calculate the centripetal acceleration of the Earth in its orbit around the Sur, (ii) And the net force exerted on the Earth. (iii) What exerts this force on the Earth? Assume that the Earth's orbit is a circle of radius 1.5 X 101 m (iv) Calculate the Gravitational Force between the Earth and the Sun. (v) Compare the Gravitational Force to that net force from section (i) above. Given that F = GmmE and F = mg (vi) (vii) Calculate the acceleration due to gravity,g, at the surface of the Earth. Given that g on Jupiter is 26.0 ms2 and Jupiter's radius is 6.98 X 10' m. Calculate the mass of Jupiter Q2. A scuba diver and her gear displace a volume of 69.6 L, and have a total mass of 72.8 kg. (a) (b) What is the buoyant force of the diver in seawater? Will she sink or float?

Answer 1