Question

you fire a cannon. the cannon has a mass of 455 kg. it gets accelerated at a rate of 1.5 m/s. What is the mass of the cannon ball if it is accelerated at a rate of 400 ms

Answer 1

Using Newton's second law of motion, the mass of the cannonball accelerated at 400 m/s² is calculated to be approximately 1.71 kg, based on the force exerted on the cannon during firing.

Step-by-step explanation:

To find the mass of the cannonball that is accelerated at 400 m/s2, we use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object times its acceleration (F = m × a). Assuming the force exerted by the cannon on the cannonball is equal and opposite to that on the cannon, we find the mass of the cannonball by rearranging the formula to solve for mass (m = F / a).

First, we calculate the force exerted on the cannon:

• Force on cannon (Fcannon) = Mass of cannon (Mcannon) × Acceleration of cannon (Acannon)
• Fcannon = 455 kg × 1.5 m/s2
• Fcannon = 682.5 N

Then, we use this force to calculate the mass of the cannonball (Mball):

• Force on cannonball (Fball) = Force on cannon (Fcannon)
• Mball = Fball / Acceleration of ball (Aball)
• Mball = 682.5 N / 400 m/s2
• Mball = 1.70625 kg

Therefore, the mass of the cannonball is 1.70625 kg or approximately 1.71 kg when rounded.