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# A2 - APPLIED SCIENCE DEPARTMENT(ASD Centre for Foundation...

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1 PPH 0075 Physics I Foundation in Engineering Assignment 2 APPLIED SCIENCE DEPARTMENT (ASD) Centre for Foundation Studies and Extension Education (FOSEE)

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Chapter 6 Question 1 a) What is Newton’s law of gravity ? [2 marks] b) Figure 6 shows three different masses placed at the vertices of a right angle triangle. Calculate the total gravitational force exerted on 20 kg mass by the other two masses. [4 marks] c) i) Prove that the total energy ( E ) of a satellite with a mass m moving in uniform circular motion of orbital radius r can be written as 2 E GM m E r = - where M E is the mass of the earth and G is the universal gravitational constant. ii) By assuming the satellite is moving in uniform circular motion, find the amount of work required to place a 500 kg satellite in an orbit of 300 km height from an orbit of 200 km height, given the mass of the earth, M E , is 5.98 x 10 24 kg , and the radius of the earth is R E = 6.38 x 10 6 m . [4 marks] Question 2: a) Suppose Malaysian’s aerospace engineer team wants to place a 1500 kg weather satellite into a circular orbit 350 km above the earth surface. The earth’s radius is R E = 6380 km and its mass is M E = 5.97 x 10 24 kg . i) Find the speed, v , and time period, T , of the satellite. [2 marks] ii) How much work must be done to place this satellite in orbit? [3 marks] b) i) Suppose a new planet has been found (Planet X ) by astronomer, which has a radius 4.5 times of Earth, and a mass of 2 times of Earth. What is the acceleration, g’ due to gravity near its surface? [2 marks] ii) Johannes Kepler (1572-1630) was a German mathematician, astronomer and astrologer, and a key figure in 17th century astronomical revolution. Kepler made three major discoveries that today we call Kepler’s Laws of planetary orbits. State the THREE laws. [3 marks]
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A2 - APPLIED SCIENCE DEPARTMENT(ASD Centre for Foundation...

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