Here's how to solve this problem, keeping in mind that we need to use consistent units:

1. Convert Miles per Second to Meters per Second

* 1 mile = 1609.34 meters

* 10 miles/second = 10 * 1609.34 meters/second = 16093.4 meters/second

2. Apply Newton's Second Law of Motion

* Newton's Second Law states: Force (F) = Mass (m) * Acceleration (a)

3. Calculate the Force

* F = 9.5 kg * 16093.4 m/s²

* F ≈ 153,882.3 N (Newtons)

Therefore, a constant force of approximately 153,882.3 Newtons is required to give a mass of 9.5 kg an acceleration of 10 miles per second.