High School

What is the mass of a falling rock if it produces [tex]$112 \, N$[/tex] of force?

A. [tex]1098 \, kg[/tex]
B. [tex]0.06 \, kg[/tex]
C. [tex]11.4 \, kg[/tex]
D. Not enough information given

Answer :

Final answer:

Given the force of 112N in the context of Earth's gravity (9.8m/s²), by using the equation for force (F=ma), the mass of the falling rock can be calculated to be approximately 11.4 kg.

Explanation:

The subject of the question pertains to the equation for force, which in physics is the product of mass and acceleration. According to Newton's second law, Force = Mass x Acceleration (F = ma). If the force is given as 112N (Newtons), this presumably is measured in the context of Earth's gravity, which is approximately 9.8 m/s². Therefore, to find the mass (m), the equation would look like this: m = F/a. As given, F= 112N and a = 9.8m/s² (gravity). Therefore, the calculation would be m = 112/9.8. Carrying out this calculation gives approximately 11.4 kg, so the answer to this question would be option C. 11.4kg.

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