Question

pairs: calculate the force of gravity you would feel at each location. use newtons 2nd law.

newtons 2nd law

force of gravity equation

Explanation:

Step1: Determine the formula for gravitational force

The formula for gravitational force \(F_g\) using Newton's 2nd Law is \(F_g = mg\), where \(m\) is mass and \(g\) is acceleration due to gravity.

Step2: Calculate for the Moon

Given \(g = 2\ m/s^{2}\) and assuming mass \(m = 9\ kg\) (since \(F_g=90\ N\) on Earth with \(g = 10\ m/s^{2}\) from \(F_g=mg\) implies \(m=\frac{F_g}{g}=\frac{90}{10} = 9\ kg\)). Substitute into \(F_g=mg\): \(F_g=9\times2\).

Step3: Calculate for Mars

Given \(g = 4\ m/s^{2}\) and \(m = 9\ kg\). Substitute into \(F_g=mg\): \(F_g=9\times4\).

Answer:

• For the Moon: \(F_g = 18\ N\)
• For Mars: \(F_g = 36\ N\)