Question

A coin of mass 1kg and a stone of mass 5kg are thrown down the eiffel tower with an acceleration of 10 m/s . Which one would reach the ground early and why ?

Answer 1

Stone because they has more weight compare than a coin and cover less surface

Answer 2

The coin reaches the ground early.

Given,

Mass of the coin=1 Kg

Mass of the stone=5 Kg.

Acceleration due to gravity=$10m/s^{2}$.

To find,

which one of them would reach the ground earlier than the other.

Solution:

• When an object of mass m is thrown from a height h, the time in which it hits the ground is independent of the mass of the body.
• But when the air resistance is considered the time to reach the ground becomes inversely proportional to the mass of the body.
• The dependence of time, t on the mass, m of the object is shown as:
• $t∝\frac{1}{\sqrt{m} }$

As the mass of the coin is smaller than the mass of the stone, it will reach the ground earlier than the stone.

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