Question

The hammer of a pile driver strikes the pile with a speed of 15 m/s, what is the height above the top of the pile did it fall?Please give me the formula​

Answer 1

The height above the top of the pile that the hammer fell is approximately 11.47 meters.

Step-by-step explanation:

To calculate the height above the top of the pile that the hammer fell, we can use the equation for gravitational potential energy:

PE = mgh

Where m is the mass of the hammer, g is the acceleration due to gravity, and h is the height. Since the hammer is falling, it has potential energy at the top and kinetic energy at the bottom.

At the top, the potential energy is given by:

PEtop = mghtop

At the bottom, the kinetic energy is given by:

KEbottom = 1/2 mv2

Since energy is conserved, we can equate the two:

mghtop = 1/2 mv2

Since the speed of the hammer is given as 15 m/s, we can solve for h:

htop = (1/2) v2 / g

Substituting the given values, we get:

htop = (1/2) (152) / 9.8

htop ≈ 11.47 meters