Question

A 20 kg anvil on a 100m cliff is about to fall on Road Runner.
How fast will the anvil be traveling as it
hits the ground? (note: Road Runner is
always too fast for Wile E Coyote)

Answer 1

Answer:

The anvil will travel at the speed of  44.27 m/s

Explanation:

Given:

mass of anvil, m = 20 kg

height, h = 100 m

Here , work done is equal to change in kinetic energy. Here initial kinetic energy is zero. Hence work done is equal to final kinetic energy.

Work done = force * distance

                   = mg * h .............. (equation 1)

(here  work done vertically is considered hence a= g = 9.8 m/$s^{2}$ and distance = h)

Also ,

work done = final kinetic energy

                   = $\frac{1}{2}$$mv^{2}$ ...............(equation 2)

from equation 1 and 2 , we get

mgh = $\frac{1}{2}$$mv^{2}$

$v^{2}$  = 2gh

    = 2 * 9.8 * 100

    = 1960

v = 44.27 m/s