Question

a 0.1 kg slinky sits at the top of a staircase with 14 J of potential energy. How high is the staircase?

Answer 1

Answer: The staircase is 14.28 m high.

Step-by-step explanation:

Given : Mass = 0.1 kg

Potential energy = 14 J

Potential energy is the energy occupied by the position of a substance. Therefore, formula for potential energy is as follows.

P.E = mgh

where,

m = mass

g = gravitational energy =
`9.8 m/s^(2)`

h = height of object

Substitute the values into above formula as follows.

`P.E = m * g * h\\14 J = 0.1 kg * 9.8 m/s^(2) * h\\h = (14 J)/(0.1 kg * 9.8 m/s^(2))\\= (14 J)/(0.98 m kg/s^(2))\\= 14.28 Js^(2)/ mkg (1 J s^(2)/m kg = 1 m)\\= 14.28 m`

Thus, we can conclude that the staircase is 14.28 m high.