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.

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.

$P.E = m \times g \times h\\14 J = 0.1 kg \times 9.8 m/s^{2} \times h\\h = \frac{14 J}{0.1 kg \times 9.8 m/s^{2}}\\= \frac{14 J}{0.98 m kg/s^{2}}\\= 14.28 Js^{2}/ mkg (1 J s^{2}/m kg = 1 m)\\= 14.28 m$

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