SOLVE FOR THE FOLLOWING PROBLEM QUESTIONS USING THE EQUATION OF THE UNIVERSAL LAW OF GRAVITY OF SIR ISAAC NEWTON WHERE Fg Gm1m2/r^2. SHOW YOUR SOLUTION: 1. On Venus, a person with mass 68 kg would weigh 572 N. Find the mass of Venus from this data, given that the planet's radius is 6.31 x 10^6 m. 2. In an experiment, an 8.0 kg lead sphere is brought close to a 1.5 kg mass. The gravitational force between the two objects is 1.28 x 10^-8 N. How far apart are the centres of the objects? 3. The radius of the planet Uranus is 4.3 times the radius of earth. The mass of Uranus is 14.7 times Earth's mass. How does the gravitational force on Uranus' surface compare to that on Earth's surface? 4. Along a line connecting Earth and the Moon, at what distance from Earth's centre would an object have to be located so that the gravitational attractive force of Earth on the object was equal in magnitude and opposite in direction from the gravitational attractive force of the Moon on the object?

SOLVE FOR THE FOLLOWING PROBLEM QUESTIONS USING THE EQUATION OF THE UNIVERSAL LAW OF GRAVITY OF SIR ISAAC NEWTON WHERE Fg Gm1m2/r^2. SHOW YOUR SOLUTION: 1. On Venus, a person with mass 68 kg would weigh 572 N. Find the mass of Venus from this data, given that the planet's radius is 6.31 x 10^6 m. 2. In an experiment, an 8.0 kg lead sphere is brought close to a 1.5 kg mass. The gravitational force between the two objects is 1.28 x 10^-8 N. How far apart are the centres of the objects? 3. The radius of the planet Uranus is 4.3 times the radius of earth. The mass of Uranus is 14.7 times Earth's mass. How does the gravitational force on Uranus' surface compare to that on Earth's surface? 4. Along a line connecting Earth and the Moon, at what distance from Earth's centre would an object have to be located so that the gravitational attractive force of Earth on the object was equal in magnitude and opposite in direction from the gravitational attractive force of the Moon on the object?