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 = [tex]9.8 m/s^{2}[/tex]
h = height of object
Substitute the values into above formula as follows.
[tex]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[/tex]
Thus, we can conclude that the staircase is 14.28 m high.
