A bullet entering a metal block of 30 cm length stops on reaching 25 cm. The energy with the bullet will be lost
Question
A bullet entering a metal block of 30 cm length stops on reaching 25 cm. The energy with the bullet will be lost
Solution
To calculate the energy lost by the bullet, we can use the principle of conservation of energy.
Step 1: Determine the initial kinetic energy of the bullet. The kinetic energy (KE) of an object is given by the equation KE = (1/2)mv^2, where m is the mass of the bullet and v is its velocity.
Step 2: Calculate the final kinetic energy of the bullet. Since the bullet stops completely, its final velocity is 0. Therefore, the final kinetic energy is also 0.
Step 3: Calculate the energy lost by subtracting the final kinetic energy from the initial kinetic energy. Energy lost = Initial kinetic energy - Final kinetic energy.
Step 4: Substitute the given values into the equations. The length of the metal block is 30 cm, and the bullet stops at 25 cm. This means that the bullet loses 5 cm of its initial kinetic energy.
Step 5: Convert the length from cm to m, as the kinetic energy equation requires the length to be in meters.
Step 6: Use the equation KE = (1/2)mv^2 to calculate the initial kinetic energy.
Step 7: Substitute the values into the equation for energy lost and calculate the result.
By following these steps, you will be able to determine the energy lost by the bullet when it stops in the metal block.
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