Question

what is the mass of a falling rock if it produces a force of 1000.0 n? (acceleration due to gravity is 9.8 m/s²)
98 kg
0.098 kg
9800 kg
102 kg
question #6
what type of proportion are acceleration and mass in newtons 2nd law of motion when force is constant?
inverse
not a proportion
direct
infinite

Explanation:

Step1: Recall Newton's second - law formula

$F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration. We want to find $m$, so we can rewrite the formula as $m=\frac{F}{a}$.

Step2: Substitute given values

Given $F = 1000.0\ N$ and $a = 9.8\ m/s^{2}$, then $m=\frac{1000.0}{9.8}\approx102\ kg$.

For the second question:
Newton's second - law is $F = ma$. When $F$ is constant, $a=\frac{F}{m}$. As $m$ increases, $a$ decreases and vice - versa. So acceleration and mass are inversely proportional.

Answer:

1. D. 102 kg
2. A. Inverse