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

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

Step-by-step 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

=
`(1)/(2)`
`mv^(2)` ...............(equation 2)

from equation 1 and 2 , we get

mgh =
`(1)/(2)`
`mv^(2)`

`v^(2)` = 2gh

= 2 * 9.8 * 100

= 1960

v = 44.27 m/s