400 = 2*a(cb)
where a(cb) is acceleration of the cannon ball
400 = 500*a(c)
where a(c) is acceleration of the cannon
where a(cb) is acceleration of the cannon ball
400 = 500*a(c)
where a(c) is acceleration of the cannon
F = m * a
Where:
F is the force applied to the object (in this case, the cannonball),
m is the mass of the object (2 kg for the cannonball), and
a is the acceleration of the object.
Rearranging the formula to solve for acceleration (a), we get:
a = F / m
Now, we can substitute the given values into the equation:
a = 400 N / 2 kg
a = 200 m/s²
Therefore, the acceleration of the cannonball is 200 m/s².
To determine the recoil acceleration of the cannon, we can apply Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, the cannonball exerts a force on the cannon, resulting in a reaction force that causes recoil.
Since we know the mass of the cannon (500 kg) and the force exerted by the cannonball (400 N), we can use the formula of Newton's second law again:
F = m * a
Where:
F is the force exerted by the cannonball (400 N),
m is the mass of the cannon (500 kg), and
a is the recoil acceleration of the cannon.
Rearranging the formula to solve for acceleration (a), we get:
a = F / m
Substituting the given values into the equation:
a = 400 N / 500 kg
a = 0.8 m/s²
Therefore, the recoil acceleration of the cannon is 0.8 m/s².