Answer :
To solve this problem, we need to find the acceleration of the cannonball when it is fired from the cannon. We can use Newton's second law of motion, which states:
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied (in Newtons, N)
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg)
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²)
We are given the following values:
- The force [tex]\( F \)[/tex] is 850.0 N to the East.
- The mass [tex]\( m \)[/tex] of the cannonball is 10.0 kg.
We can rearrange the formula to solve for acceleration [tex]\( a \)[/tex]:
[tex]\[ a = \frac{F}{m} \][/tex]
Substitute the known values into the equation:
[tex]\[ a = \frac{850.0 \, \text{N}}{10.0 \, \text{kg}} \][/tex]
[tex]\[ a = 85.0 \, \text{m/s}^2 \][/tex]
Since the force is applied to the East, the acceleration will also be to the East. Therefore, the correct answer is:
b. [tex]\(85.0 \, \text{m/s}^2\)[/tex] to the east.
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied (in Newtons, N)
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg)
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²)
We are given the following values:
- The force [tex]\( F \)[/tex] is 850.0 N to the East.
- The mass [tex]\( m \)[/tex] of the cannonball is 10.0 kg.
We can rearrange the formula to solve for acceleration [tex]\( a \)[/tex]:
[tex]\[ a = \frac{F}{m} \][/tex]
Substitute the known values into the equation:
[tex]\[ a = \frac{850.0 \, \text{N}}{10.0 \, \text{kg}} \][/tex]
[tex]\[ a = 85.0 \, \text{m/s}^2 \][/tex]
Since the force is applied to the East, the acceleration will also be to the East. Therefore, the correct answer is:
b. [tex]\(85.0 \, \text{m/s}^2\)[/tex] to the east.
