Final answer:
To find the acceleration due to gravity on Mars, the formula for potential energy, PE = mgh, is rearranged to g = PE / (m * h). Using the given values of PE = 554.20 J, m = 15 kg, and h = 8 m, the acceleration due to gravity on Mars is calculated to be 4.618 m/s².
Step-by-step explanation:
The question is asking to calculate the acceleration due to gravity on Mars using the known potential energy of an antenna, its mass, and the height from which it was built. Gravitational potential energy (PE) can be calculated using the formula PE = mgh, where m is mass, g is acceleration due to gravity, and h is height. The potential energy of the antenna on Mars is given as 554.20 J, the mass of the antenna is 15 kg, and the height is 8 meters.
To find the acceleration due to gravity on Mars (g), we rearrange the formula to solve for g: g = PE / (m * h). Inserting the values provided, we get g = 554.20 J / (15 kg * 8 m). Calculating this we find that the acceleration due to gravity on Mars is 4.618 m/s².