Question

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?

Answer 1

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;

$F = ma$

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;

$Mass (m) = \frac{F}{a}$

Substituting into the equation;

$Mass (m) = \frac{157}{9.8}$

Mass, m = 16.02kg

Therefore, the mass of the rock is 16.02kg.