Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A student says: 'The Earth pulls a stone twice as hard as a stone, so the heavy stone must fall twice as fast.' Find the pull on each stone and the acceleration of each. Is the student right?
Near a planet, ; at a distance from its centre, falls as . On the Earth's surface ; at Earth radii above the ground it is .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The pulls. and : the student is right about these.
Step 2. The accelerations. and .
Answer: No. Twice the pull acts on twice the mass, so both fall with .
Watch out. A bigger force does not mean a bigger acceleration if the mass is bigger too.
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