Answer :
Final answer:
The kinetic energy of the potato as it leaves a 1.1 m long potato cannon, under a force of 48 N, is calculated by the work done on the potato, which is 52.8 joules.
Explanation:
Calculating the Kinetic Energy of a Potato Launched from a Cannon
To determine the kinetic energy of the potato as it leaves the muzzle of the potato cannon, we need to calculate the velocity of the potato. Since we’re given the force exerted on the potato and the length of the cannon, we can first find the work done on the potato, which is equal to the change in kinetic energy.
The work done on the potato (Work) is equal to the force (F) times the distance (d) over which the force is applied, which, in this case, is the length of the cannon:
Work = F × d = 48 N × 1.1 m = 52.8 J
Since the potato starts from rest, its initial kinetic energy is 0. Therefore, the work done on the potato is equal to its final kinetic energy:
Kinetic Energy (KE) = Work = 52.8 J
The kinetic energy of the potato as it leaves the muzzle of the potato cannon is 52.8 joules.
The kinetic energy of the potato as it leaves the muzzle of the potato cannon is 52.8 Joules, calculated using the work done by the force exerted over the length of the cannon.
To determine the kinetic energy of the potato as it leaves the muzzle of the potato cannon, we first need to calculate the work done on the potato by the force applied. The work done by the force can be calculated using the formula:
Work = Force × Distance
Given that the force exerted by the cannon is 48 N, and the length of the cannon (which represents the distance over which the force is applied) is 1.1 m, we can calculate the work done as:
[tex]Work = 48 N \times 1.1 m = 52.8 J[/tex]
Since the work done on the potato is converted into its kinetic energy (ignoring friction and other losses), the kinetic energy of the potato as it leaves the muzzle of the cannon is:
Kinetic Energy = 52.8 J