The collision between a hammer and a nail can be considered to be approximately elastic, Calculate the kinetic energy acquired by a 12-g nail when it is struck by a 550-g hammer moving with an initial speed of 4.5 m/s.

Solution 36P

Step 1 of 3</p>

Here we have to calculate the kinetic energy acquired by the nail during the collision between hammer and a nail.

Given data,

Mass of the nail,

Initial speed of the nail,

Mass of the hammer,

Initial speed of the hammer,

To find,

Final speed of the nail,

Kinetic energy of the nail,

Step 2 of 3</p>

As the collision between the hammer and a nail is elastic collision. We can use the law of conservation of momentum and energy to calculate the kinetic energy of a nail.

The final velocity of the nail by considering the equation of the final velocity in elastic collision is given by,

Substituting , and