Question #49995

An object which at rest at a height 10m above the ground, falls on the ground and penetrates 25 cm in to the ground. If the ground resistance four is 1kN, calculate the mass of the object.
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Expert's answer

2014-12-19T01:35:57-0500

Answer on Question 49995, Physics, Mechanics — Kinematics — Dynamics An object which at rest at a height 10m above the ground, falls on the ground and penetrates 25 cm in to the ground. If the ground resistance four is 1kN, calculate the mass of the object.

Solution

We will use energy conservation law here. Potential energy of object mghmgh at the beginning is equal to work done, during penetrating the ground. Hence

mgh=FΔlmgh=F\Delta l

m=FΔlgh2.55kgm=\frac{F\Delta l}{gh}\approx 2.55\,kg

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