Question

1. a 10.0 kg cannonball is fired from a 145 kg cannon with a force of 850.0 n to the east. what is the acceleration of the cannonball? 5.86 m/s² to the west 85.0 m/s² to the east 85.0 m/s² to the west 5.86 m/s² to the east

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is the force, \(m\) is the mass, and \(a\) is the acceleration. We need to solve for \(a\), so the formula becomes \(a=\frac{F}{m}\).

Step2: Identify the values of \(F\) and \(m\)

The force \(F = 850.0\space N\) (to the East) and the mass of the cannon - ball \(m = 10.0\space kg\).

Step3: Calculate the acceleration

Substitute the values into the formula \(a=\frac{F}{m}\). So \(a=\frac{850.0\space N}{10.0\space kg}=85.0\space m/s^{2}\). The direction of the acceleration is the same as the direction of the force (to the East) since \(F\) and \(a\) are in the same direction according to \(F = ma\).

Answer:

85.0 m/s² to the east