Answer :
Final answer:
The question asks for the kinetic energy of a potato launched from a cannon. Kinetic energy is calculated as the work done by the cannon on the potato, resulting in 106.4 J as the potato leaves the muzzle.
Explanation:
You asked how to calculate the kinetic energy (KE) of a 2 kg potato as it exits the muzzle of a potato cannon that is 1.9 m long and aimed 50 degrees above the horizontal with a force of 56 N applied.
To find the kinetic energy, we would first need to determine the velocity of the potato as it leaves the muzzle. The work done on the potato by the force can be calculated using the formula: work (W) = force (F) × distance (d), where distance is the length of the cannon.
In this case, W = F × d = 56 N × 1.9 m = 106.4 J.
Because work done on the potato is converted into its kinetic energy (assuming negligible air resistance and no potential energy changes), the kinetic energy of the potato is equal to 106.4 joules as it leaves the muzzle of the cannon.
Summary
The potato gains kinetic energy equal to the work done on it by the force applied over the distance. Consequently, the kinetic energy of the potato as it leaves the muzzle is 106.4 J. This calculation ignores potential energy changes and air resistance.