High School

If we are using a 400kg hammer to dig a rigid pile of 1000kg into the ground, and the hammer initial velocity was zero at high 0.4m. What is the impulse which the pile exerts on the hammer? (The hammer does not rebound of the pile)

Answer :

Final answer:

The impulse exerted by the pile on the hammer is zero.

Explanation:

To calculate the impulse exerted by the pile on the hammer, we need to consider the change in momentum of the hammer. The change in momentum is equal to the final momentum minus the initial momentum.

Given that the hammer's initial velocity was zero, its initial momentum is also zero. The final momentum can be calculated using the equation:

Final momentum = mass of the hammer × final velocity of the hammer

Since the hammer does not rebound off the pile, its final velocity will also be zero. Therefore, the final momentum is zero.

As the change in momentum is equal to the impulse, we can conclude that the impulse exerted by the pile on the hammer is zero.

Learn more about impulse and momentum here:

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