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In Alamogordo, New Mexico, falling rocks are a hazard along US Highway 82. If a rock falls from a cliff with 157 N of force,what was the mass of the rock?

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Lanuel

Answer:

Mass, m = 16.02kg

Explanation:

Given the following data;

Force, F = 157N

Since it's a free fall, acceleration, a = g = 9.8m/s² (acceleration due to gravity).

To find the mass;

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

[tex] F = ma[/tex]

Where;

  • F represents force measured in Newton.
  • m represents the mass of an object measured in kilograms.
  • a represents acceleration measured in meter per seconds square.

Making mass (m) the subject of formula, we have;

[tex]Mass (m) = \frac{F}{a}[/tex]

Substituting into the equation;

[tex]Mass (m) = \frac{157}{9.8}[/tex]

Mass, m = 16.02kg

Therefore, the mass of the rock is 16.02kg.

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