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BEST PRACTICE Using the Law of Universal Gravitation

Total questions: 7

Worksheet time: 14mins

Name
Class
Date
1.

Use the data for Mercury in the given table to find the speed of a satellite in orbit 265 km above Mercury’s surface.

a)

2.85×1032.85\times10^3  m/s

b)

  8.12×1068.12\times10^6  m/s

c)

3.00 ×1033.00\ \times10^3  m/s

d)

9.11×1039.11\times10^3  m/s

2.

Use the data for Mercury in the given table to find the period (in hours) of a satellite in orbit 265 km above Mercury’s surface. Express the answer in 3 significant figures. No need to write the unit.

(a)  

3.

The sun is considered to be a satellite of our galaxy, the Milky Way. The sun revolves around the center of the galaxy with a radius of 2.2 x 1020 m. The period of one revolution is 2.5 x 108 years. Find the mass of the galaxy.

a)

1.0 x 1041 kg

b)

3.2 x 1040 kg

c)

1.7 x 1016 kg

d)

5.8x 104 kg

4.

The asteroid Ceres has a mass of 7 × 1020 kg and a radius of 500 km. What is g on the surface (in m/s2)? Express the answer to 1 decimal place. No need to write the units.

(a)  

5.

The asteroid Ceres has a mass of 7 × 1020 kg and a radius of 500 km. How much would an 85-kg astronaut weigh (in newtons) on Ceres? Express the answer to a whole number. No need to write the units.

(a)  

6.

Mars has about one-ninth of the mass of Earth. The figure shows satellite M, which orbits Mars with the same orbital radius as satellite E, which

orbits Earth. Which statement is true?

a)

The period of satellite M is greater than the period of satellite E.

b)

The period of satellite E is greater than the period of satellite M.

c)

The period of satellite M is equal to the period of satellite E.

d)

There is not enough information to make a conclusion about the satellites' periods.

7.

Jupiter has about 300 times the mass of Earth and about ten times Earth’s radius. Estimate the size of gg   on the surface of Jupiter.

a)

30 gg  

b)

300 gg  

c)

3 gg  

d)

9000 gg