Question

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Answer 1

Answer:

1.

a)The angular momemtum of the planet is conserved i.e. L=mvr is constant at all points.

Now, consider the angular momemtums of given scenarios when the planet is farthest, nearest to be Lf ,La respectively. So, Lf=La

b)If the planet changes its distance from the Sun as it orbits, then the force of gravity between them must change. If the force that the Sun exerts on the planet increases (as the planet moves closer), then the acceleration of the planet must increase, resulting in a higher orbital speed, and vice versa.

2.Kepler's three laws of planetary motion can be stated as follows: (1) All planets move about the Sun in elliptical orbits, having the Sun as one of the foci. (2) A radius vector joining any planet to the Sun sweeps out equal areas in equal lengths of time. ... Kepler's second law of planetary motion.

3. Newton’s Law of Universal Gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

m1 is the mass of the Earth which is equal to 5.98 x 1024 kg

m2 is the mass of the man which is equal to 70 kg

d = 6.38 x 106 m

The value of G = 6.673 x 10-11 N m2/kg2

Now substituting the values in the Gravitational force formula, we get

F=(6.673×10−11)(5.98×1024)(70)(6.38×10−11)2=685N

F=685N

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