Question

At the top of a flight of stairs, a woman is 16m above the ground and has 9094J of potential energy. What is the mass of the woman?

Answer 1

Mass = 56.83 Kg

Step-by-step explanation:

`PE = mgh\\9094 J = 16m*10 m/s^2*mass\\mass = (PE)/(g*h) \\mass = (9094 J)/(16*10) = 56.83 kg`

Answer 2

The mass of the woman is approximately 58.7 kg.

Step-by-step explanation:

To calculate the mass of the woman, we can use the formula for potential energy, which is given by the equation PE = mgh, where m is the mass, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height. Rearranging the equation, we have m = PE / (gh). Substituting the given values, we get m = 9094 J / (9.8 m/s^2 * 16 m). Evaluating this expression, we find that the mass of the woman is approximately 58.7 kg.