Question

A construction worker drops a 2.20 kg hammer from a roof. At a distance of 4.50 m above the ground, the hammer's total mechanical energy is 188 J. Calculate the kinetic energy of the hammer at this height.

Answer 1

Answer:

Kinetic energy = 90.98 J

Explanation:

Given that,

The mass of a hammer, m = 2.2 kg

At a distance of 4.50 m above the ground, the hammer's total mechanical energy is 188 J.

We need to find the kinetic energy of the hammer at this height.

We know that,

Mechanical energy = kinetic energy + potential energy

$188=K_E+mgh\\\\K_E=188-mgh\\\\K_E=188-2.2\times 9.8\times 4.5\\\\K_E=90.98\ J$

So, the kinetic energy of the hammer at this height is equal to 90.98 J.