A body of mass m is dropped from a height h on a sand floor. If the body penetrates x m into the sand, the average resistance offered by the sand to the body is
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Step 1: Use the principle of conservation of energy to relate the initial potential energy to the final kinetic energy and work done by the resistance force. Show more…
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A body of mass $m$ is dropped from a height $h$ on a sand floor. If the body penetrates $x \mathrm{~m}$ into the sand, the average resistance offered by the sand to the body is (A) $m g\left(\frac{h}{x}\right)$ (B) $m g\left(1+\frac{h}{x}\right)$ (C) $m g h+m g x$ (D) $m g\left(1-\frac{h}{x}\right)$
A body of mass $M$ is dropped from a height $h$ on a sand floor. If the body penetrates $x \mathrm{~cm}$ into the sand, the average resistance offered by the sand to the body is (a) $M g\left(\frac{h}{x}\right)$ (b) $M g\left(1+\frac{h}{x}\right)$ (c) $M g h+M g x$ (d) $M g\left(1-\frac{h}{x}\right)$
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Round 1
A body of mass 1 kg is dropped from a height of 5 m onto the ground. If the body penetrates 2 cm into the ground, the average resistance offered by the ground onto the body is (g = 10 m/s).
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