# How Is the Average Force on a Shell Calculated Using the Work Energy Theorem?

• razzmatazz
In summary, the Work Energy Theorem states that the net work done on an object is equal to the change in its kinetic energy. It can be used to solve problems by calculating the work done and change in kinetic energy. The equation for the theorem is W = ΔKE = KE<sub>f</sub> - KE<sub>i</sub>, and it is related to conservation of energy as it shows that the total energy of an object remains constant. The theorem can be applied to all types of motion, including linear, rotational, and circular.
razzmatazz

## Homework Statement

A weapon fired a 25.8-kg shell with a muzzle speed of 880 m/s. What averageforce acted on the shell?

## Homework Equations

work energy theorem?

## The Attempt at a Solution

Can someone please explain where the 6.00 comes from?

Starting from rest, the shell acquired a kinetic energy of (1/2)mv2

by a force, F,acting through a distance, d.Fd = (1/2)mv2
F(6.00) = (1/2)(25.8)(880)2
F = 1664960 N = 1.66 MN

Last edited:
welcome to pf!

hi razzmatazz! welcome to pf!

6 m must be the length of the muzzle (didn't the question say so?)

## 1. What is the Work Energy Theorem?

The Work Energy Theorem states that the net work done on an object is equal to the change in its kinetic energy.

## 2. How is the Work Energy Theorem used to solve problems?

The Work Energy Theorem can be used to solve problems involving the motion of objects by calculating the work done on the object and its change in kinetic energy.

## 3. What is the equation for the Work Energy Theorem?

The equation for the Work Energy Theorem is W = ΔKE = KEf - KEi, where W is the net work done, ΔKE is the change in kinetic energy, and KEf and KEi are the final and initial kinetic energies, respectively.

## 4. How is the Work Energy Theorem related to conservation of energy?

The Work Energy Theorem is related to conservation of energy because it states that the net work done on an object is equal to the change in its kinetic energy. This means that the total energy of the object, which includes its kinetic and potential energy, remains constant.

## 5. Can the Work Energy Theorem be applied to all types of motion?

Yes, the Work Energy Theorem can be applied to all types of motion, including linear, rotational, and circular motion. As long as there is a change in kinetic energy, the theorem can be used to solve problems.

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